KARS Data Reports

Mathematics Education, BSED

PROGRAM STANDARDS

Standard 1: Knowledge of Mathematical Problem Solving Candidates know, understand, and apply the process of mathematical problem solving.

Standard 2: Knowledge of Reasoning and Proof Candidates reason, construct, and evaluate mathematical arguments and develop an appreciation for mathematical rigor and inquiry.

Standard 3: Knowledge of Mathematical Communication Candidates communicate their mathematical thinking orally and in writing to peers, faculty, and others.

Standard 4: Knowledge of Mathematical Connections Candidates recognize, use, and make connections between and among mathematical ideas and in contexts outside mathematics to build mathematical understanding.

Standard 5: Knowledge of Mathematical Representation Candidates use varied representations of mathematical ideas to support and deepen students' mathematical understanding.

Standard 6: Knowledge of Technology Candidates embrace technology as an essential tool for teaching and learning mathematics.

Standard 7: Dispositions Candidates support a positive disposition toward mathematical processes and mathematical learning.

Standard 8: Knowledge of Mathematics Pedagogy Candidates possess a deep understanding of how students learn mathematics and of the pedagogical knowledge specific to mathematics teaching and learning.

Standard 9: Knowledge of Number and Operation Candidates demonstrate computational proficiency, including a conceptual understanding of numbers, ways of representing numbers, relationships among numbers and number systems, and meanings of operations.

Standard 10: Knowledge of Different Perspectives on Algebra Candidates emphasize relationships among quantities including functions, ways of representing mathematical relationships, and the analysis of change.

Standard 11: Knowledge of Geometries Candidates use spatial visualization and geometric modeling to explore and analyze geometric shapes, structures, and their properties.

Standard 12: Knowledge of Calculus Candidates demonstrate a conceptual understanding of limit, continuity, differentiation, and integration and a thorough background in the techniques and application of the calculus.

Standard 13: Knowledge of Discrete Mathematics Candidates apply the fundamental ideas of discrete mathematics in the formulation and solution of problems.

Standard 14: Knowledge of Data Analysis, Statistics, and Probability Candidates demonstrate an understanding of concepts and practices related to data analysis, statistics, and probability.

Standard 15: Knowledge of Measurement Candidates apply and use measurement concepts and tools.

Standard 16: Field-Based Experiences Candidates complete field-based experiences in mathematics classrooms.

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