Proposal of Topics that Students Can Actively Engage Within Mathematics Classes

Abstract

本稿では，中学校の数学の授業にける「主体的で協働的な」学習状況を実現するために，先行実践等から生徒が主体的に取り組む題材の要素を整理した。主体的な学びを促進する題材の要素として，「問題解決の糸口を見つけ出せること」「身近で現実的なものであること」「ちょうどよい難度であること」「思考を深めるための要素が含まれていること」が重要であると分かった。それをもとに，四角形の性質や相似の考え方を活用し，自ら条件を設定し，四角形の新たな分類方法を考える授業を提案した。In this paper, in order to realize a "proactive and collaborative" learning situation in junior high school mathematics classes, we have summarized the elements of subject matter that students can work on proactively based on previous practice etc. We found that important elements of subject matter that promote proactive learning are "being able to find a clue to solving the problem," "being familiar and realistic," "being of just the right level of difficulty," and "including elements that deepen thinking." Based on this, we proposed a lesson that utilizes the classification of quadrilaterals and the idea of similarity, in which students set their own conditions and create classification diagrams through trial and error in the process of thinking of new classification methods. In the future, we would like to verify the effectiveness in actual educational settings and make further improvements.departmental bulletin pape