Elements in accepting an explanation |
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Authors: | David A Reid |
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Institution: | School of Education, Acadia University, Wolfville, NS, Canada B0P 1X0 |
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Abstract: | This paper addresses the question of what criteria influenced the acceptance of two “explanations” by grade 5 students. The students accepted the use of deductive reasoning as explanatory, as well as using reasoning by analogy in their own explanations. The “explanations” can be interpreted as proofs by mathematical induction. The main weakness of mathematical induction as a form of explanation was the arbitrariness of the initial step. The induction step did not seem to trouble these students. Other elements in their acceptance of explanations were concreteness, familiarity, and opportunities for multiple interpretations. |
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Keywords: | Elementary K-8 Problem solving Proof Reasoning |
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