小学数学教育“可拓认知”思维模式构建

Construction of “Extension Cognition” Thinking Mode in Primary School Mathematics Education

摘要: 数学教育在小学教育中的重要性是毋庸置疑的，其最大的难题是数学教育中教与学认知上的不确定性。本文研究目的是建立一种不确定性与确定性的教育转化思维——“可拓认知”，基于可拓认知思维讨论了如何从数学教育中认知数学教育，如何从数学学习中学会学习数学，体现了元认知数学教育的可拓思想。研究表明，小学数学教育的“可拓认知”基本特点是，从多元化角度培养学生数学认知的可拓性，即发散性认知、相关性认知、蕴涵性认知、共轭性认知，从而扩展了小学数学教育视野，赋予数学教育一种新的思维模式。

Abstract: The importance of mathematics education in primary education is beyond doubt; its biggest problem is the uncertainty of teaching and learning cognition in mathematics education. The purpose of this paper is to establish a kind of educational transformation thinking of uncertainty and certainty—“extension cognition”. Based on extension cognition thinking, this paper discusses how to recognize mathematics education from mathematics education and how to learn mathematics from mathematics learning, which embodies the extension thought of metacognitive mathematics education. The research shows that the basic characteristic of “extension cognition” in primary mathematics education is to train students’ extension cognition of mathematics from diversified angle; that is, divergent cognition, correlation cognition, contains cognition and conjugation cognition, thus expanding the vision of primary mathematics education and entrusting a new thinking mode to mathematics education.