人教A版新旧教材“正弦定理”内容的比较分析与教学建议

Comparative Analysis and Teaching Suggestions for the Content of “Law of Sines” in the New and Old Editions of People’s Education Press A Version Textbooks

摘要: 本文以人教A版新旧数学教材为研究对象，针对两版教材中“正弦定理”模块内容展开对比研究，采用比较分析法，从内容呈现位置与编排顺序、新知导入方式、定理推导过程、例题与习题配置、教材旁白设计等多个维度，系统剖析两版教材的编写差异与核心特点。结合对比分析结果，针对性提出四项教学建议：新知导入需凸显知识产生的必要性与自然性，贴合学生认知规律；定理推导教学要注重知识的连贯性与逻辑性，搭建新旧知识的衔接桥梁；例习题设计应聚焦学生数学思维能力的培养，强化思维训练与能力提升；日常教学需始终紧扣数学核心素养培育目标，落实素养导向的教学理念，全面发展学生的数学核心素养。

Abstract: This paper takes the old and new mathematics textbooks of the People’s Education Press A Edition as research subjects, conducting a comparative study on the “Law of Sines” module in both versions. Using the comparative analysis method, it systematically examines the differences and core characteristics of the two versions in terms of content placement and arrangement sequence, introduction methods of new knowledge, theorem derivation processes, example and exercise configuration, and textbook narrative design. Based on the comparative analysis results, four teaching recommendations are proposed: the introduction of new knowledge should highlight the necessity and naturalness of the knowledge generation, aligning with students’ cognitive patterns; the teaching of theorem derivation should emphasize the continuity and logic of knowledge, building bridges between old and new knowledge; the design of examples and exercises should focus on cultivating students’ mathematical thinking abilities, strengthening thinking training and skill enhancement; and daily teaching must consistently align with the goal of cultivating core mathematical literacy, implementing a literacy-oriented teaching philosophy to comprehensively develop students’ core mathematical competencies.