摘要
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。
In our research we see as follows:1.Only a few children aged 5-7 can pass the exam.From the age of 8 upward,the older they are,the moreproblems they can solve.And at about11,children can pass the exam on thewhole.That is to say,they alreadyhave the concept of equally divided area.2.several cognitive componentsare recognized in children's problemsolving,such as sensory,motor andreasoning.Children younger than 8solve problems mainly by sensory cog-nition,while in the elder children rea-soning plays a main role.3.Instruction also plays an im-portant role in developing in children'sthe mathematical concept.Its import-ance increases with the age.
