Analysis of problems posed by sixth-grade middle school students for the addition of fractions in terms of semantic structures


Kar T.

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, vol.46, no.6, pp.879-894, 2015 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 6
  • Publication Date: 2015
  • Doi Number: 10.1080/0020739x.2015.1021394
  • Title of Journal : INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY
  • Page Numbers: pp.879-894

Abstract

This study aimed to investigate how the semantic structures of problems posed by sixth-grade middle school students for the addition of fractions affect their problem posing performance. The students were presented with symbolic operations involving the addition of fractions and asked to pose two different problems related to daily-life situations for each item, which could only be solved using the given operations. The problems posed were analyzed in terms of their semantic structures and conceptual validity. The results of the study showed that students who posed problems using the two different structures 'part-part-whole' and 'join' demonstrated higher performance in problem posing. The performance of the students using only one category - join or part-part-whole - was lower, with the latter being the lowest.