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Fukawa-Connelly, Timothy Patrick; Newton, Charlene – Educational Studies in Mathematics, 2014
Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in "Educational Studies in Mathematics" 69:77-79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the…
Descriptors: Undergraduate Students, Advanced Courses, Mathematics Instruction, Algebra
Olson, Jo Clay; Knott, Libby – Educational Studies in Mathematics, 2013
Not only are the problems teachers pose throughout their teaching of great importance but also the ways in which they use those problems make this a critical component of teaching. A problem-posing episode includes the problem setup, the statement of the problem, and the follow-up questions. Analysis of problem-posing episodes of precalculus…
Descriptors: Calculus, Questioning Techniques, Problem Sets, Schematic Studies