Multi-World Paradigm in Mathematical Learning (1) : An Analysis of Mathematics Classes

The recent researches of mathematical education are under significant influence of three thoughts including radical constructivism, interactionism, and socioculturism. While they are mutually conflicting theoretically, it should be unavoidable to integrate and coordinate the three thoughts in order to explain the realities of mathematical learning. Nakahara (1997a) calls this view "multi-world paradigm" in mathematical learning. We illustrate two analyses of mathematical learning based on the multi-world paradigm and consider it theoretically. Multi-world paradigm suggests the very important direction for research in teaching and learning mathematics forward because educational phenomena are often complex and can't be reduced to a single theory