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ERIC Number: ED518762
Record Type: Non-Journal
Publication Date: 2007-Oct
Pages: 33
Abstractor: As Provided
Reference Count: 16
Teaching Proving by Coordinating Aspects of Proofs with Students' Abilities. Technical Report. No. 2007-2
Selden, Annie; Selden, John
Online Submission
We introduce some concepts for analyzing proofs, including various structures, and for analyzing undergraduate and beginning graduate mathematics students' proving abilities. We then discuss how the coordination of these two analyses might be used to improve students' ability to construct proofs. For this purpose, we need a richer framework for keeping track of students' progress than the everyday one. We need to know more than that a particular student can, or cannot, prove theorems by induction or contradiction or can, or cannot, prove certain theorems in beginning set theory or analysis. It is more useful to describe a student's work in terms of a finer-grained framework including various smaller abilities that contribute to proving and that may be learned in differing ways and at differing periods of a student's development. (Contains 7 figures and 9 footnotes.)
Publication Type: Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Tennessee Technological University, Department of Mathematics