ERIC Number: ED476632
Record Type: RIE
Publication Date: 2001
Reference Count: N/A
Beliefs about Proof in Collegiate Calculus.
The broad aim of this research is to characterize the views of proof held by college calculus students and their two types of teachers mathematics graduate students and professors. The analysis is based on an examination of the ways in which people in all three groups produce and evaluate different types of solutions to a proof-based problem from a college calculus course. Initial results indicate a subtle but fundamental difference in the way university level teachers and students view proof. To the teachers a proof is the connection between an idea and the representation of the idea the representation used being a function of the norms of a particular mathematical community. To the students, who have not had many mathematical experiences outside of school mathematics and who may not understand the underlying mathematics, the proof is simply the representation. (Author)
Descriptors: Calculus, Higher Education, Knowledge Base for Teaching, Learning Problems, Mathematical Logic, Mathematics Instruction, Mathematics Teachers, Problem Solving, Thinking Skills
ERIC/CSMEE Publications, 1929 Kenny Road, Columbus, OH 43210-1080. Tel: 800-276-0462 (Toll Free); Tel: 614-292-5680.
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: N/A
Note: In: Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (23rd, Snowbird, Utah, October 18-21, 2001). p595-603. For full proceedings, see SE 065 231.