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Kontorovich, Igor'; Rouleau, Annette – Canadian Journal of Science, Mathematics and Technology Education, 2018
This article is concerned with tensions that teachers who are studying for a graduate degree in mathematics education experience when conducting a research project. Specifically, we focused on the tensions that emerge in situations where teacher-researchers encounter the mathematical misconceptions and difficulties of their interviewees. The…
Descriptors: Misconceptions, Mathematics Instruction, Decision Making, Learning Theories
Kontorovich, Igor' – Canadian Journal of Science, Mathematics and Technology Education, 2016
This article is concerned with exploring the mathematical knowledge and reasoning that can be engaged in providing explanations for the convention "a"[superscript 0] = 1. Posts from online open forums are used to illustrate the variety of mathematical ideas that can be utilized in the explanations. The explanations are examined in terms…
Descriptors: Mathematics Instruction, Mathematical Concepts, Definitions, Validity