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Weber, Keith – Journal of Mathematical Behavior, 2005
In university mathematics courses, the activity of proof construction can be viewed as a problem-solving task in which the prover is asked to form a logical justification demonstrating that a given statement must be true. The purposes of this paper are to describe some of the different types of reasoning and problem-solving processes used by…
Descriptors: Problem Solving, Mathematics, College Mathematics, Mathematics Instruction
Weber, Keith – International Group for the Psychology of Mathematics Education, 2004
The purpose of this paper is to offer a framework for categorizing and describing the different types of processes that undergraduates use to construct proofs. Based on 176 observations of undergraduates constructing proofs collected over several studies, I describe three qualitatively different ways that undergraduates use to construct proofs. In…
Descriptors: Undergraduate Students, Cognitive Processes, Mathematics Skills, College Mathematics