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ERIC Number: EJ926376
Record Type: Journal
Publication Date: 2011-May
Pages: 6
Abstractor: ERIC
ISSN: ISSN-0025-5769
Proofs without Words: A Visual Application of Reasoning and Proof
Bell, Carol J.
Mathematics Teacher, v104 n9 p690-695 May 2011
Reasoning and Proof is one of the Process Standards set forth in National Council of Teachers of Mathematics' (NCTM) "Principles and Standards for School Mathematics." Thus, it is important to give students opportunities to build their reasoning skills and aid their understanding of the proof process. Teaching students how to do proofs is a difficult task because students often will not know how to begin a proof. The use of proofs without words is effective in helping students understand the proof process. In this article, the author describes how she has used these proofs in her classroom. Using proofs without words in teaching mathematical concepts can help students improve their ability to reason when asked to explain an illustration, and this heightened reasoning can lead to understanding how to begin a formal proof. Understanding formal proofs not only deepens students' understanding of mathematical concepts but also prepares students for higher-level mathematics. (Contains 10 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: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A