NCTM NCATE STANDARDS FOR MATHEMATICS TEACHER PREPARACTION
The NCATE accreditation process for mathematics teacher preparation programs requires a review of individual institutional programs by NCTM, the specialized professional association (SPA). The review process requires colleges and universities submitting program reviews to use the NCTM NCATE Standards as the basis for determining which of the required assessments (6-8 for Options A and C) provide evidence of candidate mastery of SPA-specific standards.
Knowledge of Mathematical Problem Solving
Candidates know, understand, and apply the process of mathematical problem solving
Knowledge of Reasoning and Proof
Candidates reason, construct, and evaluate mathematical arguments and develop an appreciation for mathematical rigor and inquiry.
Knowledge of Mathematical Communication
Candidates communicate their mathematical thinking orally and in writing to peers, faculty, and others.
Knowledge of Mathematical Connections
Candidates recognize, use, and make connections between and among mathematical ideas and in contexts outside mathematics to build mathematical understanding.
Knowledge of Mathematical Representation
Candidates use varied representations of mathematical ideas to support and deepen students’ mathematical understanding.
Knowledge of Technology
Candidates embrace technology as an essential tool for teaching and learning mathematics.
Candidates support a positive disposition toward mathematical processes and mathematical learning.
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.
Knowledge of Number and Operation
Candidates demonstrate computational proficiency, including a conceptual understanding of numbers, ways of representing number, relationships among number and number systems, and meanings of operations
Knowledge of Different Perspectives on Algebra
Candidates emphasize relationships among quantities including functions, ways of representing mathematical relations hips, and the analysis of change
Knowledge of Geometries
Candidates use spatial visualization and geometric modeling to explore and analyze geometric shapes, structures, and their properties.
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.
Knowledge of Discrete Mathematics
Candidates apply the fundamental ideas of discrete mathematics in the formulation ands olution of problems
Knowledge of Data Analysis, Statistics, and Probability
Candidates demonstrate an understanding of concepts and practices related to data analysis, statistics, and probability
Knowledge of Measurement
Candidates apply and use measurement concepts and tools
Candidates complete field-based experiences in mathematics classrooms