Research Competencies in Mathematics Teacher Education

Expected by NCTM

(Middle Level Mathematics Teachers)

Excerpts from:

National Council of Teachers of Mathematics. NCATE/NCTM Program Standards (2003) Programs for Initial Preparation of Mathematics Teachers: Standards for Middle Level Mathematics Teachers.

Standard 8: Knowledge of Mathematics Pedagogy

Standard 14: Knowledge of Data Analysis, Statistics, and Probability

Pedagogy (Standard 8)

In addition to knowing students as learners, mathematics teacher candidates should develop knowledge of and ability to use and evaluate instructional strategies and classroom organizational models, ways to represent mathematical concepts and procedures, instructional materials and resources, ways to promote discourse, and means of assessing student understanding. This section on pedagogy is to address this knowledge and skill.

Standard 8: Knowledge of Mathematics Pedagogy

Candidate possesses a deep understanding of how students learn mathematics and of the pedagogical knowledge specific to mathematics teaching and learning.


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

Standard 14: Knowledge of Data Analysis, Statistics, and Probability

Candidates demonstrate an understanding of concepts and practices related to data analysis, statistics, and probability.


14.1   Design investigations, collect data through random sampling or random assignment to treatments, and use a variety of ways to display the data and interpret data representations.

14.2   Draw conclusions involving uncertainty by using hands-on and computer-based simulation for estimating probabilities and gathering data to make inferences and decisions.

14.3   Identify misuses of statistics and invalid conclusions from probability.

14.4   Use appropriate statistical methods and technological tools to analyze data and describe shape, spread and center.

14.5   Investigate, interpret, and construct representations for conditional probability, geometric probability, and for bivariate data.

Last modified February 13, 2007
by Boris Teske, Prescott Memorial Library,
Louisiana Tech University, Ruston, LA 71272