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Download full textFukawa-Connelly, Tim; Lew, Kristen; Mejia-Ramos, Pablo; Weber, Keith – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This case study investigates the effectiveness of a lecture in advanced mathematics. We video recorded a lecture delivered by an experienced professor. Using video recall, we then interviewed the professor to determine the content he intended to convey and we analyzed his lecture to see if and how this content was conveyed. We also interviewed six…
Descriptors: Lecture Method, Teaching Methods, Mathematics Teachers, Course Content
Weber, Keith – International Group for the Psychology of Mathematics Education, 2003
In this paper, I describe how undergraduates can develop their understanding of the concept of proof by viewing the act of proving as a procedure. Such undergraduates first understand proof as an algorithm, or a step-by-step mechanical prescription for proving certain types of statements. The students can then condense this algorithm into a…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Undergraduate Students
