新课标视角下高中数学教材对比分析——以人教A版新旧教材立体几何初步为例

Comparative Analysis of High School Mathematics Textbooks from the Perspective of New Curriculum Standard—Taking the Preliminary Three-Dimensional Geometry in the New and Old Textbooks of PEP A Edition as an Example

摘要: 教材是落实新课标过程中的作用不可替代，是实施教学改革的重要载体。教材比较分析对了解我国教育理念，培养学生核心素养有深远的意义。“立体几何初步”是高中阶段一直是非常重要的内容，以人教版A版新旧教材为例，利用内容分析法从结构体系、内容编排、例题设置进行比较分析，揭示其中内容变化的差异，发现新教材是怎样落实新课标的教育理念。让教师明确如何根据新课程理念，落实培养学生的数学直觉想象能力、数学逻辑推理能力和数学建模能力等数学核心素养，并对教材的使用提出几点建议。

Abstract: Teaching materials are irreplaceable in the process of implementing the new curriculum standards and are an important carrier for the implementation of teaching reform. Comparative analyses of textbooks have far-reaching significance in understanding our education philosophy and cultivating students’ core qualities. “Preliminary three-dimensional geometry” has always been a very important content in high school. Taking the old and new textbooks of the PEP A Edition as an example, we used the content analysis method to compare and analyze the structural system, content arrangement, and sample questions, to reveal the differences in content changes and to find out how new textbook implements the educational concepts of the new curriculum. Teachers will be able to identify how to implement the core mathematical literacy skills of developing students’ mathematical intuitive imagination, mathematical logical reasoning and mathematical modelling abilities according to the new curriculum concepts, and will be able to put forward a few suggestions on the use of the textbook.