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ERIC Number: EJ862749
Record Type: Journal
Publication Date: 2009-Nov
Pages: 8
Abstractor: ERIC
Reference Count: 0
ISSN: ISSN-0025-5769
Proof Mapping
Linares, Leanne A.; Smith, Phil R.
Mathematics Teacher, v103 n4 p258-265 Nov 2009
A geometry textbook or mathematics journal that prints all the work that mathematicians use as they generate proofs of mathematical results would be rare indeed. The false starts, the tentative conjectures, and the arguments that led nowhere--these are conveniently omitted; only the final successful product is presented to the world. To students new to mathematical arguments, a finished proof resembles the arithmetic and algebraic problems they have done in the past, and thus they are surprised when they cannot generate proofs in the same manner--by simply applying rules. With instruction, students may possibly come to understand each step and justification of a geometry proof, but producing a mathematical argument on their own often eludes them. The authors suggest that constructing geometry proofs through group- and self-reflection helps develop successful arguments by revealing underlying thought processes. A teacher-class dialogue illustrating the proof mapping technique is presented. (Contains 11 figures.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A