试论三种数学教育研究传统及其融合与发展

Three Different Research Traditions and their Fusion in Mathematics Education

国内外较有影响的三种数学教育研究传统包括:(1)经院-哲学家传统;(2)实验-科学家传统;(3)教学法传统。它们各有特点,也存在一定的局限性,探讨和研究这些特点和局限,使我们能更深刻地认识理解不同的数学教育研究传统并准确把握其适用范围。各种数学教育研究传统具有融合的必要性,应当把各种研究的落脚点归结到实践中的教师。

The purpose of this paper is to examine three different research traditions in mathematics education respectively. The paper is divided into four parts. Part I discusses the Scholastic philosophy research tradition in mathematics education. Part Ⅱ discusses the Empirical scientist research tradition and Part Ⅲ discusses the Pedagogy research tradition. It is shown that there are some dominance and disadvantage in the three research traditions. Part Ⅳ argues that there is a chance of fusing the three research traditions if teachers are concerned in various mathematics education studies.