数学概念教学设计与实施——以古典概型教学为例

Design and Implementation of Mathematics Concept Teaching—Taking the Teaching of Classical Probability Models as an Example

摘要: 聚焦于高中数学古典概型，以情境认知理论为驱动交流讨论古典概型在不同场景中的运用，并精心设置一系列问题，并注重问题提出的渐进性和有效性，培养学生合作能力与数学思维。通过情境认知理论的应用，搭建理解平台，促进概念的生成，同时为高中数学概念教学提供了一条较为有效的路径，促进学生数学素养的综合提升，本研究形成的“情境引入–概念构建–公式推导–应用巩固”四步教学流程，可为一线教师开展数学概念教学提供可直接借鉴的实践范式。

Abstract: Focusing on classical probability in high school math, this approach uses situational cognition theory to drive discussions on how classical probability is applied in different scenarios. A series of carefully designed questions are used, with attention to their gradual progression and effectiveness, aiming to cultivate students’ collaboration skills and mathematical thinking. By applying situational cognition theory, it creates a platform for understanding, promotes the generation of concepts, and provides a relatively effective path for teaching high school math concepts, helping to enhance students’ overall math literacy. The study forms a four-step teaching process: “scenario introduction, concept construction, formula derivation, application consolidation”, which can serve as a practical example that front-line teachers can directly reference when teaching math concepts.