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ERIC Number: EJ1004098
Record Type: Journal
Publication Date: 2013-Jul
Pages: 22
Abstractor: As Provided
Reference Count: 32
ISSN: ISSN-0013-1954
How Secondary Level Teachers and Students Impose Personal Structure on Fractional Expressions and Equations--An Expert-Novice Study
Ruede, Christian
Educational Studies in Mathematics, v83 n3 p387-408 Jul 2013
While an algebraic expression is typically assigned a regular structure, this article introduces the concept of personal structure ("Strukturierung"); here, the structuring of an algebraic expression is understood as the act of forming relationships between its parts. This concept is used for the analysis of interviews in which experts and novices talk about the personal structures they produced when looking at fractional expressions and equations. The results show, firstly, that experts will structure a given fractional expression in various different ways. Secondly, four categories have been identified: structuring can mean that an expression is made more visually straightforward, changed, reinterpreted or classified. This is meaningful for negotiating the appropriateness of the personal structures in teaching algebra.
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A