Test Design and
Test Framework

Field 208: Mathematics

The test design below describes general test information. The framework that follows is a detailed outline that explains the knowledge and skills that this test measures.

Test Design

Format Computer-based test (CBT)
Number of Questions 100 multiple-choice questions
Time* 3 hours, 15 minutes
Passing Score 240

*Does not include 15-minute CBT tutorial

Test Framework



Test Subarea Number of Test Objectives Number of Scorable Items Number of Non-Scorable Items Subarea Weight as % of Total Test Score
Subarea 1—Mathematical Practices, Technology, and Disciplinary Literacy 3 14 4 17%
Subarea 2—Number Systems and Operations 2 9 2 11%
Subarea 3—Functions and Algebra 6 26 7 33%
Subarea 4—Differential and Integral Calculus 2 9 2 11%
Subarea 5—Measurement and Geometry 3 13 3 17%
Subarea 6—Statistics, Probability, and Discrete Mathematics 2 9 2 11%
Totals 18 80 20 100%

Subarea 1—Mathematical Practices, Technology, and Disciplinary Literacy

Objective 0001—Understand mathematical practices.

For example:

Objective 0002—Understand how to select, integrate, and use appropriate technologies in the mathematics classroom.

For example:

Objective 0003—Understand the process of reading, and apply knowledge of strategies for promoting students' reading development in the mathematics classroom.

For example:

 

Subarea 2—Number Systems and Operations

Objective 0004—Understand the real number system and its operations.

For example:

Objective 0005—Understand the properties of complex numbers and linear algebra.

For example:

 

Subarea 3—Functions and Algebra

Objective 0006—Understand algebraic techniques.

For example:

Objective 0007—Understand functions and the properties of linear relations and functions.

For example:

Objective 0008—Understand quadratic functions and conic sections.

For example:

Objective 0009—Understand polynomial, absolute value, radical, and rational functions and inequalities.

For example:

Objective 0010—Understand exponential and logarithmic functions.

For example:

Objective 0011—Understand trigonometric functions.

For example:

 

Subarea 4—Differential and Integral Calculus

Objective 0012—Understand principles of differential calculus.

For example:

Objective 0013—Understand principles of integral calculus.

For example:

 

Subarea 5—Measurement and Geometry

Objective 0014—Understand principles and applications of measurement.

For example:

Objective 0015—Understand Euclidean geometry.

For example:

Objective 0016—Understand coordinate and transformational geometry.

For example:

 

Subarea 6—Statistics, Probability, and Discrete Mathematics

Objective 0017—Understand the process of collecting, organizing, and representing data.

For example:

Objective 0018—Understand probability and discrete mathematics.

For example: