基于问题教学法的“基本不等式”教学设计研究

Research on the Teaching Design of “Basic Inequality” Based on Problem-Based Teaching Method

摘要: 为改善学生对基本不等式知识理解浅表化、应用机械化的学习现状，本研究以问题教学法为理论指导，开展了系统的教学设计研究。通过创设问题情境，引导学生主动思考，激发其探究意识，从而提升学生的自主学习能力，并在探究过程中建构新知识，扩展学生思维。文章以“基本不等式”第一课时为例，在深入分析教材的基础上，设计层层递进的探究环节，贯穿课堂教学全过程，有助于促进学生数学核心素养的提升。

Abstract: To improve the current learning situation where students have a superficial understanding of the basic inequality knowledge and apply it mechanically, this study, guided by the problem-based teaching method, has carried out systematic teaching design research. By creating problem situations, it guides students to think actively, stimulates their exploration consciousness, thereby enhancing their autonomous learning ability and constructing new knowledge in the exploration process, expanding students’ thinking. Taking the first class of “Basic Inequality” as an example, this article designs progressive exploration links on the basis of in-depth analysis of the teaching materials, which run through the entire teaching process, and are conducive to promoting the improvement of students’ core mathematical literacy.