Monitors and reflects on the process of mathematical problem solving. (NCTM 1.4) 





Communicates their mathematical thinking coherently and clearly to peers, faculty, and others. (NCTM 3.1) 





Uses the language of mathematics to express ideas precisely. (NCTM 3.2) 





Analyzes and evaluates the mathematical thinking and strategies of others. (NCTM 3.4) 





Uses knowledge of mathematics to select and use appropriate technological tools, such as but not limited to, spreadsheets, dynamic graphing tools, computer algebra systems, dynamic statistical packages, graphing calculators, datacollection devices, and presentation software. (NCTM 6.1) 





Participates in professional mathematics organizations and uses their print and online resources. (NCTM 8.5) 





Demonstrates knowledge of research results in the teaching and learning of mathematics. (NCTM 8.6) 





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





Demonstrates knowledge of the historical development of mathematics including contributions from diverse cultures. (NCTM 9.10, 10.6, 11.8, 12.5, 13.4, 14.8, 15.4) 





Demonstrates computational proficiency, including a conceptual understanding of numbers, ways of representing number, relationships among number and number systems, and meanings of operations. (NCTM 9) 





Emphasizes relationships among quantities including functions, ways of representing mathematical relationships, and the analysis of change. (NCTM 10) 





Uses spatial visualization and geometric modeling to explore and analyze geometric shapes, structures, and their properties. (NCTM 11) 





Demonstrates a conceptual understanding of limit, continuity, differentiation, and integration and a thorough background in the techniques and application of calculus. (NCTM 12) 





Applies the fundamental ideas of discrete mathematics in the formulation and solution of problems. (NCTM 13) 





Demonstrates an understanding of concepts and practices related to data analysis, statistics, and probability. (NCTM 14) 





Applies and uses measurement concepts and tools. (NCTM 15) 




