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Direct linkMejía-Ramos, Juan Pablo; Weber, Keith – Journal for Research in Mathematics Education, 2019
We report on a study in which we observed 73 mathematics majors completing 7 proof construction tasks in calculus. We use these data to explore the frequency and effectiveness with which mathematics majors use diagrams when constructing proofs. The key findings from this study are (a) nearly all participants introduced diagrams on multiple tasks,…
Descriptors: Mathematics Instruction, Majors (Students), Validity, Mathematical Logic
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
