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, data-collection devices, and presentation software. (NCTM 6.1) | | | | | |

Participates in professional mathematics organizations and uses their print and on-line 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 in-depth 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) | | | | | |