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  • 标题:How Middle School Students Deal with Rational Numbers? A Mixed Methods Research Study
  • 本地全文:下载
  • 作者:Sebahat Yetim ; Ramazan Alkan
  • 期刊名称:Eurasia Journal of Mathematics, Science & Technology Education
  • 印刷版ISSN:1305-8223
  • 电子版ISSN:1305-8223
  • 出版年度:2013
  • 卷号:9
  • 期号:2
  • 页码:213-221
  • DOI:10.12973/eurasia.2013.9211a
  • 出版社:Pamukkale Univ Dept Sci Education
  • 摘要:

    The aim of this study was to identify 7th grade students’ common mistakes and/or misconceptions about representing rational numbers in different forms. Seventy-three 7th grade students participated in this study. We utilized a diagnostic test with 8 questions in order to determine common student mistakes. For identifying misconceptions, we conducted interviews with 25 of the participants purposefully chosen from among the ones who made mistakes more frequently. The data analysis showed that students had difficulties especially in determining rational numbers, relating rational numbers with decimals, representing rational numbers, and rational-number division. Moreover, the current study also revealed students’ misconceptions about dividing by zero and division of integers (with + – signs). The results suggest that using concrete materials and multiple representations would be more beneficial for overcoming these difficulties and for a sound understanding of the abstract nature of rational numbers.

  • 关键词:mixed methods research; rational numbers; common mistakes; misconceptions
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