- 数学教育学研究 : 全国数学教育学会誌 (ISSN:13412620)
- vol.17, no.2, pp.143-157, 2011 (Released:2019-01-17)
The purpose of this paper is to suggest that the teaching focused on the extention of multiplication of fractions on the sixth grade is effective to promote learner's understanding of its meaning. In the teaching of multiplication of fractions, we adopted the following four activities in the lesson. (1) The first lesson was designed for the extention of the meaning of multiplication of fractions in comparison with multiplication of integers. (2) The classification activity of mathematical word problems was introduced to promote learner's awareness of the mathematical structure on multiplication of fractions. (3) The number line was introduced to support leaner's understanding when the ratio concept became the theme of the lessons. (4) We introduced the activity to organize the relationship among multiplication of integers, decimal fractions, and fractions. Through the implementation of these experimental designs into the lessons of the multiplication of fractions on the sixth grade, the performance of many children was improved. The result of the post evaluation showed that they were able to understand the meaning of multiplication of fractions. But, there were some difficulties for each learner to realize the extention of its meaning. We need to improve the lesson designs according to learner's situation of understanding. Especially, the standardization of the lesson of multiplication of fractions and the way of using the number line are two major tasks for now.