**ERIC Number:**ED205396

**Record Type:**RIE

**Publication Date:**1980

**Pages:**84

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

Schemas for Algebra Story Problems. Technical Report Series in Learning and Cognition, Report No. 80-3.

Mayer, Richard E.

The goal of this study was to develop a framework for classifying algebra story problems and to determine observed frequencies for each problem type. One thousand ninety-seven algebra story problems were selected from nine standard algebra textbooks. These are divided into eight families based on the nature of the source formula involved; for example, nearly 300 problems were classified in the "time rate family" because they were based on the source formula, "distance = rate x time" or "output = rate x time." Each family was divided into problem categories based on the general form of the story line; for example, the time rate family consisted of "motion,""current," and "work" categories. Each category was divided into templates based on the specific propositional structure of the problem; for example, there were a dozen templates for motion problems such as "overtake,""closure,""round trip," etc. This paper describes the procedure for generating families, categories, and templates and provides frequency counts for each observed template. Implications for fostering productive research and instruction are discussed. (Author)

**Publication Type:**Reports - Research

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**National Inst. of Education (DHEW), Washington, DC.

**Authoring Institution:**California Univ., Santa Barbara. Dept. of Psychology.

**Identifiers:**Mathematics Education Research; Story Problems (Mathematics); Word Problems (Mathematics)

**Note:**Contains occasional light and broken type. For related document, see SE 035 457.