Analyzing the responses of 7-8 year olds when solving partitioning problems

Edelmira Badillo*, Vicenç Font, Mercè Edo

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)


© 2014, National Science Council, Taiwan. We analyze the mathematical solutions of 7- to 8-year-old pupils while individually solving an arithmetic problem. The analysis was based on the “configuration of objects,” an instrument derived from the onto-semiotic approach to mathematical knowledge. Results are illustrated through a number of cases. From the analysis of mathematical solutions, we infer the use of iconic representations as a counting tool for the demonstrative nature of arguments developed by pupils.
Original languageEnglish
Pages (from-to)811-836
Number of pages26
JournalInternational Journal of Science and Mathematics Education
Issue number4
Publication statusPublished - 22 Aug 2015


  • distribution problems
  • mathematical practice
  • mathematical representations
  • OSA approach
  • problem solving


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