Knowledge connectedness in geometry problem solving

Michael J. Lawson, Mohan Chinnappan

    Research output: Contribution to journalArticlepeer-review

    14 Citations (Scopus)

    Abstract

    Our concern in this study was to examine the relationship between problem-solving performance and the quality of the organization of students' knowledge. We report findings on the extent to which content and connectedness indicators differentiated between groups of high-achieving (HA) and low-achieving (LA) Year 10 students undertaking geometry tasks. The HA students' performance on the indicators of knowledge connectedness showed that, compared with the LA group, they could retrieve more knowledge spontaneously and could activate more links among given knowledge schemas and related information. Connectedness indicators were more influential than content indicators in differentiating the groups on the basis of their success in problem solving. The tasks used in the study provide straightforward ways for teachers to gain information about the organizational quality of students' knowledge.

    Original languageEnglish
    Pages (from-to)26-43
    Number of pages18
    JournalJournal for Research in Mathematics Education
    Volume31
    Issue number1
    DOIs
    Publication statusPublished - Jan 2000

    Keywords

    • Assessment
    • Geometry
    • Knowledge
    • Problem solving
    • Secondary mathematics
    • Teaching practice

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