Effect of representation formats on students’ solving proportion problems

Tadayuki Kishimoto*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this study, we investigate at how two types of visual representations -the Double number line, and the Ratio table affect students’ performance on percentage issues. In this study, 572 Japanese primary school students in Grades 4, 5, and 6 were given proportion problems with representations such as the “Double number line” and the “Ratio table diagram.” As result, the effect of them does not exist in Grades 4 and 6. However, re-orientations have the greatest impact in Grade 5. All grade students could solve the Unit problem regardless of the presence of representations. The Double number line was a more effective representation than Ratio table diagrams. When students were shown these, they often solved problems by using a scalar or functional connection involved in the features of representation.

Original languageEnglish
Title of host publicationProceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023
EditorsMichal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach
PublisherPsychology of Mathematics Education (PME)
Pages163-170
Number of pages8
ISBN (Print)9789659311231
StatePublished - 2023
Event46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 - Haifa, Israel
Duration: 2022/07/162022/07/21

Publication series

NameProceedings of the International Group for the Psychology of Mathematics Education
Volume3
ISSN (Print)0771-100X
ISSN (Electronic)2790-3648

Conference

Conference46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023
Country/TerritoryIsrael
CityHaifa
Period2022/07/162022/07/21

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Developmental and Educational Psychology
  • Experimental and Cognitive Psychology
  • Education

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