新课标视角下人教版初中新旧教材的比较研究——以“因式分解”为例

A Comparative Study of the Old and New People’s Education Press (PEP) Junior High School Textbooks from the Perspective of Core Competencies—Taking “Factorization” as an Example

摘要: 教材作为课程标准的重要载体，是课程标准的具体化，在基础教育改革中处于基础性、战略性的地位。随着新课标的颁布与实施，新教材在内容编排与体例设计上，更加突出对学生数学核心素养的培育。本文选取人教版初中数学新旧教材中的“因式分解”为研究对象，采用内容分析法从课题的编排方式、知识点内容、例习题内容及难度、旁白内容以及核心素养五个维度进行比较研究，以此提出遵循“认知发展规律”设计例习题、实现旁白“引导性与启发性”统一、紧扣“课标与核心素养”育人目标。从而发展学生的逻辑推理素养、运算能力与数学思维品质。

Abstract: From the perspective of the New Curriculum Standards, textbooks are the concretization of such standards and occupy a fundamental and strategic position in the reform of basic education. With the promulgation and implementation of the new curriculum standards, new textbooks have further highlighted the cultivation of students’ mathematical core competencies in terms of content arrangement and stylistic design. This study selects the “Factorization” section from the old and new editions of the People’s Education Press junior high school mathematics textbooks as the research subject. Using content analysis, it conducts a comparative study across five dimensions: the arrangement of topics, knowledge points, exercises and their difficulty levels, explanatory content, and core competencies. The findings propose adhering to the core principle of “holistic knowledge organization”, designing exercises and examples based on “cognitive development laws”, achieving the unity of “guidance and inspiration” in explanatory content, and closely aligning with the educational goals of “curriculum standards and core competencies”. This approach aims to enhance students’ logical reasoning abilities, computational skills, and mathematical thinking quality.