**ERIC Number:**ED365520

**Record Type:**RIE

**Publication Date:**1993-Jan

**Pages:**46

**Abstractor:**N/A

**Reference Count:**N/A

**ISBN:**N/A

**ISSN:**N/A

Measurement of Basic Skills in Mathematics.

Trombley, Robert J.; Weiss, David J.

This paper examines the process of developing a measuring instrument to measure basic skills in mathematics for those students entering post-secondary vocational education programs. The paper is organized around the steps in the process of developing such an instrument. The first section addresses the need to define conceptually the construct of basic mathematical skills. Three meanings of the concept of hierarchical development in mathematics are discussed: (1) a logical sequence, referring to the structure inherent within the topic; (2) a psychological sequence, referring to the order in which a topic can be learned; and (3) an instructional sequence, referring to the order in which a topic is taught. The second section focuses on research on mathematical abilities and the development of models through the use of factor and hierarchical analysis. The third section, on test development, discusses the need for measures of basic skills in mathematics, the limitations on the usefulness of global sources in test development, and alternatives to global measurement for evaluating mathematical learning. The paper concludes that, in order to develop a diagnostic test battery for measuring mathematical ability, the domain structure must be clearly defined, continued research must clarify the nature of mathematical ability, and methods of providing maximal diagnostic capability in a minimal amount of student testing time must be developed. Contains 77 references. (MDH)

Descriptors: Basic Skills, Diagnostic Tests, Higher Education, Mathematics Achievement, Mathematics Education, Mathematics Skills, Student Evaluation, Student Placement, Test Construction, Vocational Education

National Center for Research in Vocational Education, Materials Distribution Service, Western Illinois University, 46 Horrabin Hall, Macomb, IL 61455 (Stock No. MDS-101).

**Publication Type:**Information Analyses

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**Office of Vocational and Adult Education (ED), Washington, DC.

**Authoring Institution:**National Center for Research in Vocational Education, Berkeley, CA.

**Identifiers:**Mathematics Education Research