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ERIC Number: EJ792643
Record Type: Journal
Publication Date: 2008-Apr
Pages: 31
Abstractor: Author
Reference Count: 109
ISBN: N/A
ISSN: ISSN-1098-6065
Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning
Stylianides, Gabriel J.; Stylianides, Andreas J.
Mathematical Thinking and Learning: An International Journal, v10 n2 p103-133 Apr 2008
There are currently increased efforts to make proof central to school mathematics throughout the grades. Yet, realizing this goal is challenging because it requires that students master several abilities. In this article we focus on one such ability, namely, the ability for "deductive reasoning," and we review psychological research to enhance what is currently known in mathematics education research about this ability in the context of proof and to identify important directions for future research. We first offer a conceptualization of proof, which we use to delineate our focus on deductive reasoning. We then review psychological research on the development of students' ability for deductive reasoning to see what can be said about the ages at which students become able to engage in certain forms of deductive reasoning. Finally, we review two psychological theories of deductive reasoning to offer insights into cognitively guided ways to enhance students' ability for deductive reasoning in the context of proof. (Contains 2 figures and 5 footnotes.)
Lawrence Erlbaum. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals/default.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A