理解分数概念对于儿童数学认知发展具有重要意义。但是由于分数概念是一个多含义的概念结构,使得分数概念的理解较为困难。研究者大都认同分数概念包含五重含义:部分—整体、测量、比、商、算子。但是不同学者提出了不同的分数概念结构理论,以说明这些含义之间的关系,并基于这些理论发展了不同的分数概念理解测验。在该领域,今后可以从分数不同含义的心理表征及其关系,分数概念测验编制等方面开展进一步研究。
Understanding fractional concepts is essential for children's mathematical cognitive development.However,the fractional concepts are almost the most complex construct that children encounter in their primary school years,which create a barrier for children to master the concepts.Most scholars agreed that fractional concepts consist of five different but interconnected subconstructs:part-whole,measure,ratio,quotient and operator.Several fractional construct theories have been proposed to elaborate the relationship of these five subconstructs and three fraction-understanding tests have been developed base on these theories.The following questions in this area need further exploration:What are children's representations of the five subconstructs and their relationship,and how can we develop more valid tools to measure fractional concepts.