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ERIC Number: ED374988
Record Type: Non-Journal
Publication Date: 1994-Apr
Pages: 67
Abstractor: N/A
Reference Count: N/A
ISBN: N/A
ISSN: N/A
Metaphorical Reasoning in Mathematics: Experts and Novices Solving Negative Number Problems.
Chiu, Ming Ming
Metaphorical reasoning explains how people can interpret abstract representations through a complex activity and then apply them to new problems. In particular, metaphors can facilitate both conceptual understanding and problem solving by: (1) intuitively justifying mathematical operations, (2) integrating mathematical knowledge, (3) enhancing the computational environment, and (4) improving recall. In this study audiotaped interviews of (n=12) novice middle school students and (n=5) expert master's graduates solving three tasks involving negative numbers were analyzed. Through a variety of spatial and quantitative metaphors, these students reasoned metaphorically, not only to understand and solve these problems, but also to evaluate and justify their solutions. Experts articulated more metaphors and reasoned with them selectively. In contrast, novices employed metaphorical reasoning less skillfully, but they used it more frequently. Appendices include: Arithmetic is Motion Along a Linear Path metaphor, Stock Market problem, Ordering problem, and Images of Arithmetic Expressions. Contains 85 references and 12 figures. (MKR)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A