高中数学教学探讨——以《平面解析几何》为例

Xiujuan Hua, M. Tang, Shurong Sun, Z. Han
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引用次数: 4

摘要

解析几何是高中数学学习中的一门重要课程,创新教学是课程改革的主要方向。因此,如何在解析几何教学中进行创新是高中数学教学的重要问题之一。根据教学内容和实践,并与国外解析几何的教学方法进行比较,通过对高中解析几何的主要内容及其教学意义的研究,明确了高中数学解析几何教学的重点和难点。在重视知识基础的前提下,提出几何直觉应与合理推理和演绎推理相结合进行教学。在此基础上,充分利用几何画板作为补充,适当穿插数学故事,激发学生的兴趣。Keywords-Innovative教学;平面解析几何;似是而非的推理;演绎推理;几何画板
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Inquiry into Mathematics Teaching in Senior High School  —Taking "Planar Analytic Geometry" as an Example
Analytical geometry was an important course in high school mathematics learning, and innovative teaching was the main direction of curriculum reform. Therefore, how to innovate in analytic geometry teaching was one of the important problems in high school mathematics teaching. Based on the teaching content and practice, and comparing with the teaching methods of analytic geometry in foreign countries, the key and difficult points of analytic geometry teaching in senior high school mathematics are clarified by studying the main contents of analytic geometry in senior high school and its teaching significance. On the premise of paying attention to the knowledge base, it is proposed that geometric intuition should be taught in combination with reasonable reasoning and deductive reasoning. On this basis, the geometric sketchpad should be fully utilized as a supplement, and mathematical stories should be appropriately interspersed to arouse students’ interest. Keywords—Innovative teaching; Plane analytic geometry; Plausible reasoning; Deductive reasoning; Geometer’s Sketchpad
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