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 Universidad de Puerto Rico Nivel Central

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Program Review Standards (NCTM)

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.

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 Operatio
n

Candidates demonstrate computational proficiency, including a conceptual understanding of numbers, ways of representing number, relationships among number 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 relations hips, 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 ands olution 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

Source: http://www.nctm.org/standards/default.aspx

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