Bulletin of the Faculty of Education, Yamaguchi University

PISSN : 2433-3670
NCID : AA12810513

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Bulletin of the Faculty of Education, Yamaguchi University Volume 68
published_at 2019-01-31

Proof using two inference rules in junior high school plane geometry

中学校数学科図形の２つの論理の規則を用いた証明について
Kasai Shinichi
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論理的な推論は，数学の主要な陶冶的価値の一つである。一方，中学校数学科教科書の証明においては，用いている論理の規則は記述されていない。本稿では，中学校数学科第2学年の平面図形の証明問題を題材に，演繹を規定する論理の規則(推論規則)の中から，2つの論理の規則に注目して，前提となる命題から論理の規則に従って結論となる命題を導き出す形で，証明を記述するモデルの一つを提示する。論理学の立場からの形式的証明のうち，論理の規則の記述を消去したものが中学校数学科の教科書における証明であると考えられる。
Creator Keywords
証明
演繹
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