A deep structure model of students' statistical misconceptions

Zemira R. Mevarech

    Research output: Contribution to journalArticlepeer-review

    48 Scopus citations

    Abstract

    The present study investigated a model used by non-mathematically oriented students in solving problems in descriptive statistics. Analyses show that college students mistakenly assume that a set of means together with simple mean computation constitutes a mathematical group satisfying the four axioms of closure, associativity, identity, and inverse. This set of misconceptions is so deeply ingrained in a students' underlying knowledge base that mere exposure to a more advanced course in statistics is not sufficient to overcome those misconceptions. However, results of an experiment indicated that most students were able to acquire the appropriate schema of statistical concepts by engaging in diagnostic activities embedded within a feedback-corrective procedure.

    Original languageEnglish
    Pages (from-to)415-429
    Number of pages15
    JournalEducational Studies in Mathematics
    Volume14
    Issue number4
    DOIs
    StatePublished - Nov 1983

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