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Watson, Anne; Harel, Guershon – Canadian Journal of Science, Mathematics and Technology Education, 2013
We investigate whether and how personal mathematical knowledge at an advanced level impacts on teaching at a lower school level. We study this in the context of functions because understanding them permeates secondary and advanced mathematics. Textbook treatment of these can be patchy, implying a need for knowledgeable teachers to rectify…
Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Teachers, Knowledge Base for Teaching
Peer reviewed
Watson, Anne; Mason, John – Canadian Journal of Science, Mathematics and Technology Education, 2002
Points out the effectiveness of student-generated examples as a teaching tool. Examines the roles played by examples constructed and generated by students, illustrates and analyzes the use of this tool, and develops a theory for the act of exemplification as an act of cognition. Introduces a framework developed for this work. (Contains 39…
Descriptors: Concept Formation, Educational Strategies, Foreign Countries, Learning