INDICATOR: 
Rating: 
Standard 1: Knowledge of Math Problem Solving 

1.1 Apply and adapt a variety of appropriate strategies to solve problems 

1.2 Solve problems that arise in math and those involving math in other contexts. 

1.3 Build new mathematical knowledge through problem solving.


1.4 Monitor and reflect on the process of mathematical problem solving.


Standard 2: Knowledge of Reasoning and Proof 

2.1 Recognize reasoning and proof as fundamental aspects of mathematics. 

2.2 Make and investigate mathematical conjectures. 

2.3 Develop and evaluate mathematical arguments and proofs. 

2.4 Select and use various types of reasoning and methods of proof. 

Standard 3: Knowledge of Mathematical Communication 

3.1 Communicate their mathematical thinking orally and in writing to peers, faculty, and others. 

3.2 Use the language of mathematical to express ideas precisely. 

3.3 Organize mathematical thinking through communication. 

3.4 Analyze and evaluate the mathematical thinking and strategies of others. 

Standard 4: Knowledge of Mathematical Connections 

4.1 Recognize and use connections among mathematical ideas. 

4.2 Recognize adn apply mathematics in context outside of mathematics. 

4.3 Demonstrate how mathematical ideas interconnect and build on one another to produce a coherent whole. 

Standard 5: Knowledge of Mathematical Representation 

5.1 use representation to model adn interpret physical, social, and mathematical phenomena. 

5.2 Create and use representations to organize, record, and communicate mathematical ideas. 

5.3 Select, apply, and translate among mathematical representations to solve problems. 

Standard 6: Knowledge of Technology 

6.1 Use knowledge of math to select and use appropriate technological tools (spreadsheets, graphing calcs, stats software, etc.). 

Standard 7: Dispositions 

7.1 Attention to equity. 

7.2 Use of stimulating curricula. 

7.3 Effective Teaching. 

7.4 Commitment to learning with understanding. 

7.5 Use of various assessments. 

7.6 Use of various teaching tools including technology. 

Standard 8: Knowledge of Mathematics Pedagogy 

8.1 Selects, uses, and determines suitability of the wide variety of available curricula and teaching materials, including special needs.


8.2 Selects and uses appropriate concrete materials for learning math. 

8.3 Uses multiple strategies, including listening to and understanding the ways students think about math, to assess students' knowledge. 

8.4 Plans lessons, units, and courses that address appropriate learning goals, including those that address local, state, and national standards. 

8.5 Participates in professional math organizations and uses their print and online resources. 

8.6 Demonstrates knowledge of research results in the teaching and learning of matheamtics. 

8.7 Uses knowledge of different types of instructional stategies in planning math lessons. 

8.8 Demonstrates the ability to lead classes in mathematical problem solving and in developing indepth conceptual understanding, and to help students develop and test generalizations. 

8.9 Develop lessons that use technology's potential for building understanding of mathematical concepts & developing important mathematical ideas. 

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