Age: 7-0 to 18-11Testing Time: 30 minutes to 2 hoursAdministration: Individual
Based on actual materials used to teach math in schools and on state
and local curriculum guides, the CMAT represents a major advance in the
accurate assessment of the mathematics taught in today's schools. All
items reflect real world problems using up-to-date, current information
and scenarios. Use as few as 2 subtests or as many as 12 depending on
your purpose for testing.
The CMAT has six Core Subtests (Addition; Subtraction; Multiplication;
Division; Problem Solving; and Charts. Tables, and Graphs) and six
Supplemental Subtests (Algebra; Geometry; Rational Numbers; Time; Money;
and Measurement). For most testing purposes, you will only want to give
the core subtests, which can be administered in about 40 minutes. The
Supplemental Subtests are used in those relatively few instances where
information about higher-level mathematics ability is needed.
The CMAT has both Core and Supplemental Composites.
Basic CalculationsSubtests that comprise this composite are Addition,
Subtraction, Multiplication, and Division. It measures basic
- Mathematical ReasoningThe Problem Solving and
Charts, Tables and Graphs subtests make up this composite. It measures
- General MathematicsThis composite is formed by combining the six core subtests.
Advanced CalculationsThe subtests in this composite (Rational Numbers,
Algebra, and Geometry) are usually given to middle school or older
students who are showing poor achievement or to advanced students.
Practical ApplicationsThis composite measures the ability to solve
problems related to time concepts (Time), the use of money (Money), and
aspects of measurement (Measurement).
- Overall Mathematic AbilitiesThe results of all twelve CMAT subtests all combine to form this composite.
Statistical Characteristics of the CMAT
Finally, examiners have a psychometrically sound, content oriented,
clear alternative to existing tests of mathematical abilities. All
subtests and composites are based on familiar metrics. The subtests have
a mean of 10 and a standard deviation of 3; composites have a mean of
100 and a standard deviation of 15. This provides for extreme ease of
use and comparability with other tests. Both age-based norms (age 7
through 18) and fall and spring grade-based norms (grade 3 through 12)
are provided, giving the examiner flexibility in meeting state and local
education agency guidelines. Reliability was determined using standard
methods for estimating the internal consistency of the subtests and
composites. Reliability estimates are uniformly high, with all
composites and most subtest reliability values exceeding or rounding to
.90. Coefficients for time sampling and interscorer reliability are also
The CMAT manual provides clear evidence for
validity. Strong evidence of content-description validity,
criterion-prediction validity, and construct-identification validity is
provided, including correlational research with individual and group
mathematics tests, intelligence tests, and measures of academic ability.
National Standardization and Sample Bias
The CMAT was normed on a national sample of over 1600 students whose
demographic characteristics match those of the United States according
to the 2000 census report. The normative group was stratified on the
basis of age, gender, race, ethnic group membership, geographic
location, community size, and socioeconomic status (as indicated by
educational attainment and family income).
Potential item bias
was studied using crucial DIF (differential item functioning) and found
to be insignificant. Not only was bias studied at the test level, but
individual item bias was examined by comparing item difficulty across
demographic subgroups and by determining item curve characteristics,
considered to be one of the most direct and sensitive methods for
detecting biased items.
- Calculators are allowed for all subtests except Addition, Subtraction, Multiplication, and Division.
- The CMAT is easy to use and score.
- The CMAT reflects the National Council of Teachers of Mathematics 2000 Guidelines.
- The CMAT helps to identify students who are having difficulty as well as those students who are exceeding beyond expectations.
COMPLETE CMAT KIT INCLUDES: Examiner's
Manual, Picture Book, 25 Profile/Examiner Record Booklet, 25 Student
Response Booklet I, 25 Student Response Booklet II, and Information
Sheet, all in a sturdy canvas carrying case. (2002)