数学史融入中学数学教学初探——以“等比数列求和公式推导”为例

• 作 者: 张勤 李德安
• 机 构: 云南省曲靖市第一中学,
• 出 处: 数学通讯
• 发表日期: 2016年04期
• 关键词: 中学数学教学 高中数学课 弗赖登塔尔 公式推导 学习过程 克莱因 错位相减法 人教版 合比性质 最近发展区

1.研究背景人教版高中数学课本早已指出,数学是自然的.学习过程中,很多学生感觉数学公式或定理是非常抽象、刻板、不自然的.究其原因,主要是学生不了解其中的数学背景.现今大多数学教材,只注重知识的逻辑结构,却忽略了知识的形成过程和文化背景.正如荷兰数学教育家弗赖登塔尔所批评的那样,“把火热的发明变成了冷冰冰的美丽”.M克莱因指出:“数学绝对不是课程中或教科书里所指的那种肤浅观察和寻常诊

1. Research Background The PEP textbook for high school mathematics has long pointed out that mathematics is natural and many students feel that mathematical formulas or theorems are very abstract, stereotyped and unnatural in the learning process.The reason is mainly that students do not understand Mathematical background Most current textbooks focus on the logical structure of knowledge but neglect the process of formation and cultural background of knowledge.As the Dutch mathematics educator Freudenthal has criticized, ”the fiery invention has become Cold and beautiful. “M Klein pointed out:” Mathematics is definitely not the kind of superficial observation and unusual diagnosis in the class or textbook