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概念教学在小学数学教学中非常重要,学生只有牢固地掌握概念,才能深入研究与该概念相关的内容。不少研究者指出,数学概念具有“过程——对象”的二重性特点,概念的二重性决定了概念认知的二重性、数学思维的二重性。在这方面,美国杜宾斯基等人在教育研究实践中发展起来的一种APOS理论对数学概念的学习有所启示。本文试图探讨APOS理论下的小学数学概念教学,通过平均数这个重要的概念阐述APOS理论的应用。
Concept teaching is very important in primary school mathematics teaching. Only when students firmly grasp the concept can students deeply study the contents related to the concept. Many researchers point out that the concept of mathematics has the duality of “process - object”. The duality of concept determines the duality of conceptual cognition and the duality of mathematical thinking. In this respect, an APOS theory developed by Dobinski and others in the practice of educational research has some implications for the study of mathematical concepts. This article attempts to explore the concept of primary school mathematics under the teaching of APOS theory, through the mean of this important concept of APOS theory application.