基于 APOS 理论的数学概念教学设计案例研究摘要 概念明确是确定数学教学效果的首要因素.数学概念高度的抽象性给学生理解数学概念的本质带来困难.初中数学教学中，许多教师对学生数学概念的认知教学投入较少，更多地关注学生解题技能.近年来，APOS 理论被越来越多地运用于数学概念教学，本文试图以该理论为指导，对初中数学概念的教学进行教学设计研究.本文通过运用访谈法、案例研究法和文献研究法.首先，梳理 APOS 理论及其对数学概念教学的启示，综述其在数学概念教学中应用的已有研究.接着，通过访谈研究提出了初中数学概念教学中运用APOS 理论的策略，并给出两个教学设计案例.最后，回顾研究过程，展望了后继研究.关键词 APOS 理论 数学概念 教学设计Mathematical Concepts Instructional Design Case StudyBased on APOS TheoryAbstract Clear concept is the primary factor to determine the effect of mathematics teaching.The abstract nature of mathematical concepts makes it difficult for students to understand the essence of mathematical concepts.In junior high school mathematics teaching, many teachers pay little attention to the early understanding of mathematics concepts and concept teaching, and the teaching focus is often on the training of students’ problem-solving skills. In recent years, APOS theory is more used in mathematics concept teaching. This paper attempts to study the teaching design of junior high school mathematics concepts under the guidance of this theory.This paper uses the methods of interview, case study and literature study. First, it sorts out the APOS theory and its enlightenment to the teaching of mathematical concepts, and summarizes the existing research on its application in the teaching of mathematical concepts. Then, it puts forward the strategy of applying the APOS theory in the teaching of mathematical concepts in junior high school through interview research, and gives two teaching design cases. Finally...
