Old+UG+Program+LOs

===Program Purpose ===  The B.S. program in Mathematics Education seeks to provide graduates with the knowledge, skills, and habits of mind that will allow them to become exemplary teachers of mathematics at the secondary level. The program seeks to build life-long habits of intellectual work and reflection in support of continual professional development and renewal. It also seeks to provide a university experience consistent with the mission and aims of Brigham Young University. In terms of building spiritual strength, we share with teacher-educators worldwide a commitment to preparing teachers who are people of character, vision, compassion, and service. Beyond this, we have the very special commitment to help our students gain the unique insights and experiences that the restored gospel brings to the lives and practices of those engaged in educational enterprises. In building intellectual strength and character, we focus on three interrelated strengths: • A mathematical strength that is grounded in the fundamental concepts, methods and applications of contemporary mathematics, an informed grasp of its history and cultural significance, and thorough knowledge of the mathematics that secondary students must come to understand. • An educational strength that has as its focus designing positive, effective learning environments in which they work effectively with learners. Such environments will center on mathematical practices that are anchored in knowledge of how learners thinking about mathematics. • A professional strength that includes the skills and understandings needed to work within a range of social groups to facilitate the continued growth of understanding and confidence, and an ongoing exploration for better educational practice. ====Curricular Structure ====  __[|Major Academic Plan] __ __[|Undergraduate Catalog] __

===Expected Learning Outcomes ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">We organize our learning outcomes in four major categories: Mathematics, Learning, Teaching, and Workplace. In this document, school mathematics implies the mathematics that a teacher with a level 4 endorsement is certified to teach, which is Math 7, Pre-Algebra, Algebra I, Geometry, and Algebra II, Pre-Calculus, Calculus, and Statistics. <span style="display: block; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 35px; padding-bottom: 10px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">

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Graduates understand the contexts and images that make the underlying concepts meaningful. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">c. Graduates understand how the underlying concepts are interconnected. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">d. Graduates understand the mathematics content that precedes and follows secondary school mathematics. > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; 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margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Mathematic Concepts** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates understand the central concepts, tools of inquiry, and structures of the discipline of mathematics and how mathematical ideas are connected and embedded within that structure.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Underlying Concepts** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">a. Graduates understand the underlying concepts of school mathematics.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Reason and Inquiry** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can engage in mathematical inquiry, can reason mathematically, and are willing to approach and able to solve challenging mathematical problems.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Effective Communication** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can communicate mathematical ideas effectively using a variety of appropriate representations.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**School Integration** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can draw on their mathematical knowledge to analyze the content of school mathematics in pedagogically useful ways. Specifically, they can recognize the central mathematical concepts and structures in state and local curriculum guidelines and materials.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Problem Solving** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates approach mathematics as a problem-solving, sense-making endeavor, and not just a set of procedures to be memorized.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Conceptual Understanding of Calculus** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will have a conceptual understanding of and procedural fluency with the foundational ideas of calculus. Namely: continuity, limits, derivatives, integrals, series and the applications associated with all of these concepts.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Constructing Arguments** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can construct and evaluate mathematical arguments, including both formal proofs and informal justifications in various contexts.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Historical Developments** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Students should know prominent theorems and major ideas in the history of mathematics along with prominent mathematicians. Students should also know the historical development of the prominent philosophies about what mathematics is and how one learns it.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Conceptual Understanding of Linear Algebra** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will have a conceptual understanding of foundational and overarching ideas of linear algebra. Namely: vector spaces, linear transformations, matrix algebra, systems of equations and applications.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Euclidean Geometry** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates understand the roots of Euclidean Geometry as an axiomatic system. They understand Euclidean Geometry within the larger picture including neutral and non-Euclidean geometries. They are aware of current ideas about teaching and learning geometry such as the van Hiele levels.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Understanding of Statistics** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will understand the foundational concepts of statistics including the ideas of probability, distribution, central tendency, variance, and statistical significance. They will be fluent in skills of data representation, model fitting, and hypothesis testing. Graduates are aware of current ideas about teaching and learning statistics.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Underpining and Extensions of Calculus** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates understand the underpinnings of calculus (e.g. the density of real numbers, Epsilon-neighborhoods, differentiability, etc.) and the extensions of calculus (e.g. multivariable calculus, differential equations) and can explain conceptually and prove central theorems of calculus.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Discrete or Finite Mathematics** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will understand at least one area of discrete or finite mathematics (e.g. number theory, graph theory, or combinatorics).
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Upper-division Mathematics** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will demonstrate an ability to understand and join the mathematics community by engaging in upper-division mathematics (e.g. analysis and abstract algebra)

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<span style="color: #405679; display: inline-block; font-family: sans-serif; margin-bottom: 5px; margin-left: 0px; margin-right: -35px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Learning ===== <span style="display: block; font-family: sans-serif; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">a. Graduates will appreciate that helping students learn mathematics with understanding is grounded in understanding students’ thinking as they engage in mathematical practice. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">b. Graduates will appreciate that helping students learn mathematics with understanding is grounded in building on students' ideas in ways that support their personal understandings. > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Understanding** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will know what it means to learn mathematics with understanding.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Assess Understanding** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will know how to assess students’ mathematical understanding and thinking processes.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Awareness** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will understand how children learn and develop mathematically so that they are aware of some common ways that students think about and do mathematics and can anticipate students’ responses; are aware of some common misconceptions and factors that impede mathematical understanding; understand some ways students differ in their approaches to learning.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**High Expectations** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will demonstrate high expectations for all students to engage in creative and meaningful mathematical activity.

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<span style="color: #405679; display: inline-block; font-family: sans-serif; margin-bottom: 5px; margin-left: 0px; margin-right: -35px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Teaching ===== <span style="display: block; font-family: sans-serif; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Planning > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">b. Graduates are able to plan mathematics instruction that shows a particular interest in student learning. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">c. Graduates are able to plan mathematics instruction that uses challenging, open-ended tasks that motivate the need for important mathematics and engage students in authentic mathematical practices. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">d. Graduates are able to plan mathematics instruction that clearly articulates the important mathematics that is the focus of the lesson. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">e. Graduates are able to plan mathematics instruction that uses appropriate tools to support productive student exploration of the mathematics elicited by the tasks. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">f. Graduates are able to plan mathematics instruction that uses detailed knowledge of students' work and thinking to unpack their mathematical understanding. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">g. Graduates are able to plan mathematics instruction that facilitates student-directed inquiry, student involvement, and mathematical discourse. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">h. Graduates are able to plan mathematics instruction that anticipates the common solution paths, representations, connections, and misunderstandings that may emerge and plans questions and actions that will capitalize on these and support student learning. > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">b. Graduates are able to plan sequences of lessons and units that progress logically and developmentally. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">c. Graduates are able to plan sequences of lessons and units that take into account necessary prerequisite understandings. > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Planning** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">a. Graduates are able to plan mathematics instruction that takes into account student diversity in background, culture, language, and special needs as well as diversity of thinking.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Planning Sequences and Units** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">a. Graduates are able to plan sequences of lessons and units that meet state core curricular requirements.

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<span style="color: #405679; display: inline-block; font-family: sans-serif; margin-bottom: 5px; margin-left: 0px; margin-right: -35px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Teaching ===== <span style="display: block; font-family: sans-serif; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Instruction > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">b. Graduates will use formative assessment ot analyze students' understanding and use that information to orchestrate appropriate mathematical discussions. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">c. Graduates will use formative assessment to analyze students' understandings and use that information to make appropriate modifications to planned lessons. > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Classroom Environment** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will be able to create safe and engaging classroom environments that promote mathematical practice, support mathematical discourse, and encourage student responsibility and participation.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Assessment** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">a. Graduates will use formative assessment to analyze students’ understandings and use that information to facilitate students’ engagement with tasks.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Learning Opportunities** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will provide learning opportunities that promote critical thinking, problem solving, conceptual understanding, and procedural competency.

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<span style="color: #405679; display: inline-block; font-family: sans-serif; margin-bottom: 5px; margin-left: 0px; margin-right: -35px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Teaching ===== <span style="display: block; font-family: sans-serif; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Assessment > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">b. Graduates use a variety of summative assessment techniques that accommodates the needs of students. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">c. Graduates use a variety of summative assessment techniques that offer students an opportunity to demonstrate conceptual understanding of important mathematics as well as procedural competency. > <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">d. Graduates use a variety of summative assessment techniques that clearly articulate expectations for students and employ detailed rubrics as appropriate. > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Assessment Techniques** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can use formative assessment techniques to analyze students’ mathematical understanding and thinking processes.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Feedback** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can use assessment to provide appropriate feedback to students.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Student Self Assessment** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates can design opportunities for student self assessment.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Summative Assessment** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">a. Graduates use a variety of summative assessment techniques that are aligned with curriculum, lesson and unit objectives, tasks, and student learning experiences.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Self Assessment** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will be able to use reflection as a way to accurately self-assess and then revise practice.

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<span style="color: #405679; display: inline-block; font-family: sans-serif; margin-bottom: 5px; margin-left: 0px; margin-right: -35px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Workplace ===== <span style="display: block; font-family: sans-serif; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> > <span style="display: block; font-family: sans-serif; font-size: 8pt; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 10px; padding-top: 0px;"><span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="display: block; display: inline; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> ===<span style="border-bottom-color: #c5af7d; border-bottom-style: solid; border-bottom-width: 1px; color: #405679; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 12px; margin-left: 0px; margin-right: 0px; margin-top: 25px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Evidence of Learning === <span style="display: block; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">As part of their NCATE accreditation, the McKay School has put in place several measures of student success, many of which provide valuable direct measures of the extent to which our students are meeting our program objectives. These include: <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">The PRAXIS II Content Knowledge Test in Mathematics: ** This is a nationally normed examination that measures mathematical knowledge needed for teaching. It covers algebra and number theory, measurement, geometry, trigonometry, functions, calculus, statistics and probability, matrix algebra, and discrete mathematics. It also measures students’ success with various process standards such as problem solving, reasoning and proof, representations, and use of technology. All our students take this examination near the end of their programs. __<span style="color: #3060a0; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Click here for more information on the PRAXIS II Mathematics Test. __ <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Teacher Work Sample (TWS): ** At three different times in their programs, our students turn in a Teacher Work Sample, which consists of a unit plan and supporting documentation. These materials are evaluated by two instructors in our department using a 35-item grading rubric. The 35 times are in eight categories, including Contextual Factors, Learning Goals, Assessment Plan, Design for Instruction, Instructional Decision Making, and Analysis of Student Learning. The final TWS is evaluated during the student teaching semester and includes a reflective essay. Results can be compared with earlier work samples to determine growth. <span class="external text" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">__<span style="color: #3060a0; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Click here to see the TWS Rubric __. <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Clinical Practice Assessment System (CPAS): ** This is a 34-item checklist that uses a 6-point scale to determine students’ proficiency in 34 areas adapted from the INTASC Standards, a widely adopted national standard set for beginning teachers. The CPAS checklist is used at three checkpoints in a student’s program, with the final assessment being completed by both the cooperating teacher and the university supervisor. Again, results during this final semester can be compared with those of earlier CPAS assessments. //<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">We anticipate making changes to this assessment system in order to better reflect our learning outcomes, as suggested below. // <span class="external text" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">__<span style="color: #3060a0; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Click here to see the CPAS Rubric __. <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Professional and Interpersonal Behavior Rating Scale (PIBS): ** This instrument was developed to provide uniform definitions to teachers, supervisors, and students for professional and interpersonal behaviors to be observed and evaluated across all student teaching programs on campus. It is used to rate behaviors as exceeding expectations, meeting expectations, or unacceptable in ten areas: Personal Itegrity, Respect for Authority, Learning Community, Responsibility, Attendance, Punctuality, Flexibility, Initiative, Commitment/Loyalty, and Dress and Grooming.__<span style="color: #3060a0; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Click here to see the PIBS Rubric. __ <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> In addition our department has in place the following indirect measures: <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Exit Interviews: ** These are conducted with each of our student teachers by their student teaching supervisors. The results are reported to the assessment committee head who then synthesizes the information and distributes it to the department. As a department we intend to revisit the protocol for these surveys in order to ascertain whether we//<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">We intend to make changes to this exit interview, as suggested below, to help address specific learning outcomes. // <span class="external text" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Click here to see the Exit Interview <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Alumini Surveys: ** Every three years BYU distributes an alumni survey to a statistically representative sample of its graduates over the previous three years. We are in process of studying this survey to ascertain whether sufficiently elicits the data we need to inform our program, and to expand the questions as needed. Each year we follow-up on our graduates to see whether they sought teaching positions and, if so, whether and where they were hired.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Professionalism** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will demonstrate professional behaviors such as punctuality, excellent attendance in field experiences and classes, care and thoughtfulness in assignments and presentations, and appropriate dress and grooming.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Initiative and Creativity** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will show initiative and creativity in coursework and class participation.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Reflective Evaluation** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates demonstrate reflective practice by continually evaluating the effects of his/her choices and actions on others in the workplace, and by accepting, using, and responding well to feedback from colleagues and supervisors.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Participation in Community** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates support and fully particiapte in the program and the professional community.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Professional Relationships** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will understand fundamental characteristics of professional relationships, including confidentiality, fair treatment of students, positive interaction with colleagues, supervisors, and parents, and general respectfulness to others.
 * <span style="font-family: sans-serif; font-family: sans-serif; font-size: 10pt; line-height: 17px; list-style-image: none; list-style-position: outside; list-style-type: none; margin-bottom: 0px; margin-bottom: 2px; margin-left: 14px !important; margin-left: 33px; margin-right: 0px; margin-right: 0px; margin-top: 0px; margin-top: 0px; padding-bottom: 0px; padding-bottom: 5px; padding-left: 0px; padding-left: 0px; padding-right: 0px; padding-right: 0px; padding-top: 0px; padding-top: 0px;"><span style="display: block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**Community Relationships** <span style="display: block; display: inline-block; font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px !important; width: 730px;"><span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Graduates will know how to foster relationships with colleagues, parents, and the larger community to support students’ learning and well-being.

<span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Below is a list of the the direct and indirect measures we will use to evaluate our students’ success. ====<span style="color: #405679; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 5px; margin-left: 0px; margin-right: 0px; margin-top: 20px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Direct Measures ==== <span style="display: block; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> ===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span class="mw-headline" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Mathematics ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1) PRAXIS - mathematics; CPAS 1 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2a) PRAXIS - mathematics; TWS Learning Goals 1; CPAS 1 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2b) CPAS 2, 3, 4 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2c) PRAXIS - mathematics; TWS Learning Goals 1; CPAS 4 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2d) PRAXIS- mathematics <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4) TWS Learning Goal 1; TWS Design for Instruction 3 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">5) TWS Learning Goals 1, 2; TWS Design for Instruction 2, 3 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">6) TWS Design for Instruction 3 ===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span class="mw-headline" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Learning ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1) CPAS 5, 6 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2a) TWS Design for Instruction 3 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2b) TWS Design for Instruction 5; CPAS 15 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">3) TWS Assessment Plan 1 - 4; TWS Analysis of Student Learning 1 - 6; CPAS 28. <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4a) Addition to TWS <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4b) Addition to TWS <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4c) Addition to TWS; CPAS 9, 27 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">5) CPAS 11 ===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span class="mw-headline" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Teaching ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">//<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Planning ** // <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1a) TWS Contextual Factors 1 - 3; CPAS 5, 7, 9, 10, 27 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1b) TWS Design for Instruction 2; CPAS 7 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1c) TWS Learning Goals 1 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1d) TWS Design for Instruction 4; TWS Learning Goals 4; CPAS 3, 25 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1e) TWS Instructional Decision Making 1 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1f) TWS Design for Instruction 5: CPAS 7 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1g) Addition to TWS <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2a) TWS Learning Goals 2 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2b) TWS Learning Goals 5 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2c) TWS Learning Goals 3 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> //<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Instruction ** // <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">3) CPAS 6, 7, 13, 16 - 19 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4a) CPAS 8 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4b) CPAS 22 - 25 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4c) TWS Assessment Plan 4; CPAS 14, 15, 31 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">5) TWS Analysis of Student Learning 4 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> //<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">**<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Assessment ** // <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">6) TWS Assessment Plan 4; CPAS 28 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">7) CPAS 28 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">8) CPAS 29 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">9a) TWS Assessment Plan 1 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">9b) TWS Contextual Factors 3, TWS Assessment Plan 5 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">9c) TWS Assessment Plan 5; CPAS 28 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">9d) TWS Assessment Plan 3 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">9e) TWS Assessment Plan 3 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">10) CPAS 31  ===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span class="mw-headline" style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Workplace ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1) CPAS 33; PIBS Learning Community, Attendance, Punctuality, Dress and Grooming <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2) PIBS Respect for Authority, Initiative <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">3) CPAS 32 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4) PIBS Flexibility, Commitment/Loyalty <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">5) CPAS 33 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">6) CPAS 34 ====<span style="color: #405679; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 5px; margin-left: 0px; margin-right: 0px; margin-top: 20px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Indirect Measures ==== <span style="display: block; font-family: sans-serif; font-size: medium; line-height: normal; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"> ===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Mathematics ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2d) Completion of Mthed 117, Sc Ed 276R, Math 112, 113, 313, 290, Math/Mthed 362 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">3) Completion of Mthed 117, 218, 308, Math/Mthed 362 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">4) Completion of Mthed 117, 308 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">6) Alumni Survery #1, #2, #13 <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">7)Completion of Math 112, 113 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">8) Completion of Math 290, 341, 371 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">9) Completion of Math/Mthed 300 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">10) Completion of Math 313 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">11) Completion of Math/Mthed 362 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">12) Completion of Stat 301 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">13) Completion of Math 314, 334, 341 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">14) Completion of Math 355, 450, 487 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">15) Completion of Math 341, 371 with C- grade or better ===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Learning  ===  <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1) Completion of Mthed 117, 218, 377/378 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2a) Completion of Sc Ed 276R, Mthed 377/378 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2b) Completion of Mthed 218, 377/378 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">3) Completion of Mthed 218, 377/378 with C- grade or better

<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">
===<span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">Teach-Plan ===

<span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1c) Completion of Mthed 218, 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1d) Completion of Mthed 117, 218, 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1e) Completion of Mthed 308, 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1f) Completion of Mthed 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1g) Completion of Mthed 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">1h) Completion of Mthed 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2a) Completion of Sc Ed 276R, Mthed 218, 377 with C- grade or better <span style="font-family: sans-serif; font-size: 10pt; line-height: 18px; margin-bottom: 6px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;"><span style="font-family: sans-serif; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">2b) Completion of Mthed 377 with C- grade or better