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ERIC Number: EJ1090175
Record Type: Journal
Publication Date: 2012
Pages: 19
Abstractor: As Provided
ISSN: ISSN-1479-4802
On the Different Ways That Mathematicians Use Diagrams in Proof Construction
Samkoff, Aron; Lai, Yvonne; Weber, Keith
Research in Mathematics Education, v14 n1 p49-67 2012
The processes by which individuals can construct proofs based on visual arguments are poorly understood. We investigated this issue by presenting eight mathematicians with a task that invited the construction of a diagram, and examined how they used this diagram to produce a formal proof. The main findings were that participants varied in the extent of their diagram usage, it was not trivial for participants to translate an intuitive argument into a formal proof, and participants' reasons for using diagrams included noticing mathematical properties, verifying logical deductions, representing ideas or assertions, and suggesting proof approaches.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: EHR1008317; DUE081736; DRL0643734