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数学教育与教学研究

Mathematics Education and Pedagogy Research

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Mathematics Education and Pedagogy Research. 2025; 1: (1) ; 10.12208/j.mepr.20250004 .

The application of geometric intuition in high school mathematics teaching—take the Su education edition textbook ellipse as an example
几何直觉在高中数学教学中的应用——以苏教版教材《椭圆》为例

作者： Yufan Wang *, Baowen Zhang

宁夏大学 宁夏银川

*通讯作者： Yufan Wang,单位：宁夏大学 宁夏银川；

引用本文: Yufan Wang, Baowen Zhang 几何直觉在高中数学教学中的应用——以苏教版教材《椭圆》为例[J]. 数学教育与教学研究, 2025; 1: (1) : 14-17.
Published: 2025/7/17 9:05:09

摘要

近年来，随着核心素养在我国的不断推广和实施，国内外许多专家学者对核心素养在具体教学中的体现进行了大量的研究，但提出的培养策略理论性较强，缺乏一定的实用性，研究主要集中在小学和初中阶段，缺乏针对高中学生几何直觉能力的相关研究。因此，本文以苏教版新版教材为切入点，通过具体实例，从课前导入、新知识传授、巩固拓展三个方面提出了培养高中学生几何直觉能力的几点建议，希望从教师教学的角度为一线教师提供一些教学参考，也能在一定程度上帮助高中教师提升对几何直觉能力的认识。

关键词： 几何直觉；核心素养；圆锥曲线

Abstract

In recent years, with the continuous promotion and implementation of core literacy in China, many experts and scholars at home and abroad have conducted many studies on the performance of core literacy in specific teaching. However, the training strategies proposed are too theoretical and lack certain practicability. The studies are primarily concentrated in primary and junior high schools, and there is a lack of relevant studies on the geometric intuitive ability of senior high school students. Therefore, this paper, starting from the new version of the textbook of the Su Education Edition, puts forward several suggestions on the cultivation of high school students' geometric intuitive ability from three aspects of pre-class introduction, new knowledge imparts, and consolidation and expansion through specific examples, hoping to provide some teaching references for front-line teachers from the perspective of teacher teaching. It can also help high school teachers to improve their understanding of geometric intuition to a certain extent.

Key words： Geometric intuition; Core literacy; Conic curve

参考文献 References

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