指向抽象素养的高三数学复习课的教学设计

Teaching Design of a High School Mathematics Review Class Focusing on the Cultivation of Abstract Competency

中文关键词:  数学抽象素养；高三第二轮复习；归纳思维；演绎思维

英文关键词:mathematics abstract competency， second-round review in Grade Three in high schools， inductive thinking， deductive thinking

中文摘要:

      用数学眼光审视数学问题，以及基于数学新认识能够引发新创造，是高中数学教学重视数学抽象素养培育的重要因素。数学抽象素养主要体现为归纳思维和演绎思维。文章探索了指向数学抽象素养培育的复习思路，主要包括：例题选择要遵循原则；教学目标的拟定要清晰精准；教学过程要探寻规律、寻求启示、对比分析、反思提炼。最后指出，要从数学文化角度再认识数学教育。

英文摘要:

      It is an important factor in the cultivation of abstraction competency emphasized in high school mathematics teaching to use mathematics to examine mathematical problems and to have new creations based on the new understanding of mathematics. Mathematics abstract competency is mainly reflected in inductive and deductive thinking. This paper explores the reviewing ideas focusing on the cultivation of mathematics abstract competency, including the following aspects: the choice of examples should follow the principles; the formulation of teaching objectives should be clear and precise; the teaching process should explore the law, seek enlightenment, make comparative analysis, and have reflection and refinement. Finally, the paper suggests that mathematics education should be re-recognized from the perspective of mathematics culture.