A Case of Teaching Concepts Based on ACT-R Theory—Taking “Induction Formula” as an Example

随着基础课程改革的持续推进，认知科学理论指导下的教学实践创新已成为教育研究的重要方向。ACT-R理论在数学概念教学中的应用逐渐受到重视，现选取高中数学“三角函数诱导公式”为例，系统探讨ACT-R理论指导下的数学概念教学模式重构。首先介绍ACT-R理论基本观点，然后结合教学背景、目标和过程阐述该理论用于实际教学的情况。通过构建基于ACT-R理论的教学设计模型，验证理论在促进知识结构化、提升问题解决能力方面的有效性，为数学概念教学优化提供参考，助力遵循学生身心发展规律开展教学。With the continuous promotion of the basic curriculum reform, the innovation of teaching practice under the guidance of cognitive science theory has become an important direction of educational research, and the application of ACT-R theory in the teaching of mathematical concepts has gradually been paid attention to, and we now take the high school mathematics “Trigonometric Function Derivative Formula” as an example to systematically explore the reconstruction of mathematical concept teaching mode under the guidance of ACT-R theory. We will systematically discuss the reconstruction of mathematical concept teaching mode under the guidance of ACT-R theory. Firstly, the basic viewpoints of ACT-R theory are introduced, and then the background, objectives and process of teaching are described to illustrate how the theory is used in actual teaching. By constructing a teaching design model based on the ACT-R theory, we verify the effectiveness of the theory in promoting knowledge structuring and enhancing problem-solving ability, which provides reference for optimising the teaching of mathematical concepts, and helps to carry out teaching in accordance with the laws of students’ physical and mental development.