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一、前言几何知识是从空间关系上阐明事物的内部规律,是儿童掌握数学知识的一个重要方面。皮亚杰曾对儿童面积概念的发展做过较多工作,国内也有人验证或做过这方面的研究。但目前尚未见到有关儿童面积等分概念发展的实验研究。面积等分概念是几何知识的一部分,它包含面积与等分两个方面,儿童掌握面积等分概念,包括形与数两个方面。他们必须从面积概念、等分数、等分面积等的形和数的知识关系上来认识。在日常生活中儿童已经获得了一些面积等分的常识,但是,达到真正掌握科学的
I. Preface Geometry knowledge clarifies the internal laws of things from the perspective of spatial relations and is an important aspect of children’s knowledge of mathematics. Piaget had done more work on the concept of children’s area and some people in China have also verified or done research in this area. However, no experimental study on the concept of equal division of children’s area has been observed so far. Area is divided into two parts of the concept of geometric knowledge, which contains the area and the two points, children grasp the concept of equal areas, including the two aspects of shape and number. They must recognize the relationship between the shape and the number of concepts such as area concept, equal score, and equal area. Children in everyday life have gained some common sense of area but, to the extent that they are truly masters of science