新旧版北师大数学教材“设计自己的运算程序”综合实践内容对比及教学启示

A Comparison of the “Design Your Own Computational Procedure” Comprehensive Practical Content in the New and Old Editions of the Beijing Normal University Mathematics Textbooks and Its Implications for Teaching

摘要: 本文分析了北师大版初一数学教材“设计自己的运算程序”这一综合实践内容的变化。通过对比分析2012版和2024版教材，从内容结构、呈现方式、思维导向这三个方面揭示新旧两版的差异。另外，本文还基于APOS理论设计了教学案例，并结合学生的学习报告，探讨了教材修订对学生数学学习的影响以及所面临的问题与挑战。最后，给出了相关教学建议，希望能对数学综合实践环节的教学提供有价值的参考。

Abstract: This paper analyzes the changes in the comprehensive practical content “Design Your Own Computational Procedure” in the Grade 7 mathematics textbook of the Beijing Normal University Edition. By comparing and analyzing the 2012 and 2024 editions of the textbook, it reveals the differences between the two editions from three aspects: content structure, presentation method, and thinking orientation. In addition, this paper also designs teaching cases based on the APOS theory, and combines students’ learning reports to explore the impact of textbook revisions on students’ mathematics learning as well as the problems and challenges faced. Finally, it provides relevant teaching suggestions, hoping to offer valuable references for the teaching of the mathematics comprehensive practice section.