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ERIC Number: EJ1093107
Record Type: Journal
Publication Date: 2015
Pages: 5
Abstractor: ERIC
Reference Count: 9
ISBN: N/A
ISSN: ISSN-0045-0685
Reversible Reasoning and the Working Backwards Problem Solving Strategy
Ramful, Ajay
Australian Mathematics Teacher, v71 n4 p28-32 2015
Making sense of mathematical concepts and solving mathematical problems may demand different forms of reasoning. These could be either domain-based, such as algebraic, geometric or statistical reasoning, while others are more general such as inductive/deductive reasoning. This article aims at giving visibility to a particular form of reasoning which Piaget referred to as reversibility of thought or equivalently reversible reasoning. Reversible reasoning essentially involves reasoning from a given result to the source producing the result. Using examples from the school mathematics curriculum, this article illustrates how this mode of reasoning may be involved in the solution of mathematical problems. Further, it provides a strategy to foster reversible reasoning by formulating tasks in a primal and dual mode. Simultaneously, the article explains why such a mode of reasoning is essential in developing flexibility in thinking.
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A