Dynamic imagery in children's representations of number

Noel Thomas*, Joanne Mulligan

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)


    An exploratory study of 77 high ability Grade 5 and 6 children investigated links between their understanding of the numeration system and their representations of the counting sequence 1-100. Analysis of children's explanations, and pictorial and notational recordings of the numbers 1-100 revealed three dimensions of external representation-pictorial, ikonic, or notational characteristics-thus providing evidence of creative structural development of the number system, and evidence for the static or dynamic nature of the internal representation. Our observations indicated that children used a wide variety of internal images of which about 30% were dynamic internal representations. Children with a high level of understanding of the numeration system showed evidence of both structure and dynamic imagery in their representations.

    Original languageEnglish
    Pages (from-to)5-25
    Number of pages21
    JournalMathematics Education Research Journal
    Issue number1
    Publication statusPublished - Apr 1995


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