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Teaching proofs without words using dynamic geometry

Published online by Cambridge University Press:  06 June 2019

Moshe Stupel ,
Avi Sigler  and
Jay Jahangiri
Moshe Stupel
Affiliation:
Gordon-Academic College of Education and Shaanan Religious, Academic College of Education, Haifa, Israel e-mail: stupel@bezeqint.net
Avi Sigler
Affiliation:
Shaanan Religious Academic College of Education, Haifa, Israel e-mail: avibsigler@gmail.com
Jay Jahangiri
Affiliation:
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A. e-mail: jjahangi@kent.edu
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Extract

A Proof Without Words (PWW) contains data, the claim that is to be proved, and one or more diagrams, sometimes without anything else and in other cases with a few mathematical expressions, without any verbal justifications [1]. It is assumed that students and researchers who possess the related appropriate mathematical knowledge will view the drawings and the expressions, will be able to follow and justify each step in the proof and develop their own visual proof abilities. PWW is very much like a cartoon which contains a drawing with sometimes only a few words or sometimes no words at all and the observers are expected to understand the context or the projected message.

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Type
Articles
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The Mathematical Gazette , Volume 103 , Issue 557 , July 2019 , pp. 204 - 211
Copyright
© Mathematical Association 2019 

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