論理的思考の解釈 : 論理的意識性を中心にして

概要

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In mathematics teaching we declare to bring up student's logical thinking abilities. But in general, people say that mathematical taled one like mathematicians should not be excellent to perform logical argument in ordinal conversation. Answerng to this criticism against mathematics teaching, I want to point out three factors of logical thinking ability, indeed, logical power, logical knowledge and logical awareness. Logical power is the one which people can perform logical argument in ordinal conversation or mathematical argument at now. Comparing to this, logical awareness is the one which people can aware to logical affairs in our ordinal conversation. For example, in ordinal conversation, I can aware that some sentence is related to the difference between 'conditional sentence' and 'biconditional sentence', but I can not perform completely logical correct argument. And I want to say, mathematics teaching is contributed to bring upchild's logical awareness. And I discussed the problem of creativity of logical thinking. People nowadays respect creativity and criticize logical thinking for its no creativity. Certainly, logical thinking is not creative from a logical point of view. But in practice like human mental activities or natural science studies, logic is contributed to create new knowledge to us. Then we mathematics teachers might be able to declare that logic thinking is sufficiently creative.
全国数学教育学会の論文
1996-00-00