Lines of Thought: A Ratio and Operator Model of Rational Numbers.

Carraher, David William

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Peer reviewed

ERIC Number: EJ487120

Record Type: Journal

Publication Date: 1993

Pages: N/A

Abstractor: N/A

ISBN: N/A

ISSN: ISSN-0013-1954

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Lines of Thought: A Ratio and Operator Model of Rational Numbers.

Carraher, David William

Educational Studies in Mathematics, v25 n4 p281-305 Dec 1993

Presents a model of rational number using pairs of line segments which can embody ratios of numbers. Actions upon these segments can embody arithmetical operations. Discusses tasks in a computer environment for bringing out diverse algebraic and geometric meanings of rational numbers. (Contains 23 references.) (MKR/Author)

Descriptors: Algebra, Arithmetic, Concept Formation, Elementary Secondary Education, Geometry, Mathematical Models, Mathematics Education, Mathematics Instruction, Measurement, Rational Numbers, Ratios (Mathematics)

Publication Type: Guides - Classroom - Teacher; Journal Articles

Education Level: N/A

Audience: N/A

Language: English

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Authoring Institution: N/A

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Author Affiliations: N/A