数式の計算の順序に関する考察
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概要
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The purposes of this study are to explore the actual condition of the child about an understanding of the order of calculation based on investigation and to consider the influence on a literal expression. Moreover, it is also the purposes to investigate the actual condition of the child about the cognitive obstacle over an numerical expression and to consider the state of instruction of an numerical expression on the base of these. The main findings of this investigation are the followings: (1) It turns out that many children do not understand about the order of calculation and it is caused by the cognitive obstacle. (2) Overgeneralization can be considered to the cause of a cognitive obstacle. By encouragement of "an elegant procedure", a child generalizes over the associative law realized only in addition and multiplication with you may somewhere calculate. (3) The child who made the calculation mistake by the numerical expression makes the same mistake also in a literal expression. Consequently, Following three are mentioned as the state of future instruction. In an elementary school 1. You should guide the agreement of the order of calculation finely. Especially, you should brace an understanding of the meaning of 'usually' of "usually calculating sequentially from the left". 2. It is making a child understand the law of associative law correctly. 3. By expansive study, it is taking in mostly about the order of calculation and more than three digits calculation in expansive study. In a junior high school you should teach algebra by bearing in mind these results of an investigation. Such a thing is considered to lead to cooperation of a junior high school and an elementary school.
- 全国数学教育学会の論文
- 2003-00-00
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関連論文
- C9 数式の計算の順序に関する考察(III) : 小学校教科書の分析を通して(C 数と計算・代数, 第II編 第36回数学教育論文発表会発表論文要約)
- C9 数式の計算の順序に関する考察(III) : 小学校教科書の分析を通して(C.【数と計算・代数】,論文発表の部)
- 数式の計算の順序に関する考察