中国数学教育优势:隐性的代数教学设计模型

In Search of Tradition in Chinese Mathematics Education:A Theory for Algebra Instruction

中国哲学的起源之文化独特性起源于《易经》,其根本哲学思想是以不变应万变,彰显了中国汉语字词和数系的构造模式之文化独特性,在表达形式上强调＂以类合类＂,渗透在中国数学文化之文化独特性,构造了强调类别的数学课程《九章算术》的原型,体现了中国数学教育的文化独特性,即突出强调不变元素（双基）和变异元素（变式）的数学教学思想框架,具体表现在＂课程的问题设计＂上,强调＂一题多解＂、＂一题多变＂和＂多题一解＂的问题变式的结构,形成了最新代数发展理论模型——螺旋变式课程设计模型.这一模型将有助于从国际视野理解中国数学教育,也为代数的教育发展提供了独特的潜在的设计框架.

This study provides the analysis on how the unique feature of Chinese philosophy, variation and invariance soul in ＂ I Ching＂, could be traced Chinese language, number naming, and mathematics development and ancient mathematics curriculum design. Based on the analysis above, the Chinese rationale and logics, named spiral variation curriculum design, was illustrated. The framework will be conductive the understanding of Chinese mathematics education and curriculum and instruction development for algebra.