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| Standard 1: Knowledge of Math Problem Solving |
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| 1.1 Apply and adapt a variety of appropriate strategies to solve problems |
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| 1.2 Solve problems that arise in math and those involving math in other contexts. |
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1.3 Build new mathematical knowledge through problem solving.
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1.4 Monitor and reflect on the process of mathematical problem solving.
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| Standard 2: Knowledge of Reasoning and Proof |
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| 2.1 Recognize reasoning and proof as fundamental aspects of mathematics. |
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| 2.2 Make and investigate mathematical conjectures. |
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| 2.3 Develop and evaluate mathematical arguments and proofs. |
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| 2.4 Select and use various types of reasoning and methods of proof. |
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| Standard 3: Knowledge of Mathematical Communication |
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| 3.1 Communicate their mathematical thinking orally and in writing to peers, faculty, and others. |
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| 3.2 Use the language of mathematical to express ideas precisely. |
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| 3.3 Organize mathematical thinking through communication. |
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| 3.4 Analyze and evaluate the mathematical thinking and strategies of others. |
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| Standard 4: Knowledge of Mathematical Connections |
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| 4.1 Recognize and use connections among mathematical ideas. |
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| 4.2 Recognize adn apply mathematics in context outside of mathematics. |
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| 4.3 Demonstrate how mathematical ideas interconnect and build on one another to produce a coherent whole. |
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| Standard 5: Knowledge of Mathematical Representation |
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| 5.1 use representation to model adn interpret physical, social, and mathematical phenomena. |
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| 5.2 Create and use representations to organize, record, and communicate mathematical ideas. |
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| 5.3 Select, apply, and translate among mathematical representations to solve problems. |
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| Standard 6: Knowledge of Technology |
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| 6.1 Use knowledge of math to select and use appropriate technological tools (spreadsheets, graphing calcs, stats software, etc.). |
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| Standard 7: Dispositions |
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| 7.1 Attention to equity. |
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| 7.2 Use of stimulating curricula. |
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| 7.3 Effective Teaching. |
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| 7.4 Commitment to learning with understanding. |
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| 7.5 Use of various assessments. |
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| 7.6 Use of various teaching tools including technology. |
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| Standard 8: Knowledge of Mathematics Pedagogy |
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8.1 Selects, uses, and determines suitability of the wide variety of available curricula and teaching materials, including special needs.
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| 8.2 Selects and uses appropriate concrete materials for learning math. |
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| 8.3 Uses multiple strategies, including listening to and understanding the ways students think about math, to assess students' knowledge. |
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| 8.4 Plans lessons, units, and courses that address appropriate learning goals, including those that address local, state, and national standards. |
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| 8.5 Participates in professional math organizations and uses their print and online resources. |
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| 8.6 Demonstrates knowledge of research results in the teaching and learning of matheamtics. |
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| 8.7 Uses knowledge of different types of instructional stategies in planning math lessons. |
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| 8.8 Demonstrates the ability to lead classes in mathematical problem solving and in developing in-depth conceptual understanding, and to help students develop and test generalizations. |
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| 8.9 Develop lessons that use technology's potential for building understanding of mathematical concepts & developing important mathematical ideas. |
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