Textbook explanations: Modes of reasoning in 7 th grade Israeli mathematics textbooks

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4 février 2015

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info:eu-repo/semantics/OpenAccess




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Boaz Silverman et al., « Textbook explanations: Modes of reasoning in 7 th grade Israeli mathematics textbooks », HAL-SHS : sciences de l'éducation, ID : 10670/1.1odjrf


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The goal of this study is to characterize the justifications and explanations offered in 7th grade Israeli textbooks for mathematical statements. The justifications and explanations offered in eight 7th grade Israeli textbooks for ten selected mathematical statements were analysed, using the modes of reasoning framework (Stacey & Vincent, 2009). The analysis revealed that the textbooks commonly used several modes of reasoning in explanations for each statement. Nearly every justification was deductive or empirical, yet different modes of reasoning were used for geometric and for algebraic statements. It was also found that empirical justifications were more prevalent in textbooks of limited scope, whereas deductive justifications were typically offered in textbooks of regular/ extended scope.

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