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ERIC Number: ED113196
Record Type: Non-Journal
Publication Date: 1975-Apr
Pages: 29
Abstractor: N/A
Reference Count: N/A
ISBN: N/A
ISSN: N/A
Higher Order Rule Characterization of Heuristics for Compass and Straight Edge Constructions in Geometry.
Scandura, Joseph M.; And Others
The research reported in this paper was designed to analyze the incidence of use of higher-order rules by students solving geometric construction problems. A carefully selected set of construction problems was subjected to rigorous a priori analysis by mathematics educators to determine what basic and second-order rules might be used by able high school students in their solution. Categories of problems analyzed include: patterns of two loci, patterns of similar figures, combined two loci and similar figures, patterns of auxiliary figures, and patterns of loci, similar figures, and auxiliary figures. The analysis was successful in making more precise the heuristic approach of George Polya. Overall, the viability of this method of analysis was demonstrated. The authors cite some limitations of the study and future directions for their work. (SD)
Publication Type: Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: N/A