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  • 标题:The Development of Children's Understanding of the Quotient: A Teaching Experiment
  • 本地全文:下载
  • 作者:James Middleton ; Zulbiye Toluk
  • 期刊名称:International Journal for Mathematics Teaching and Learning
  • 电子版ISSN:1473-0111
  • 出版年度:2004
  • 出版社:Centre for Innovation in Mathematics Teaching
  • 摘要:The conceptual development of the Quotient in fourchildren in the US was studied through a series of parallel individualteaching experiments. At the beginning of the study, childrenviewed whole number division and fair sharing as two differentdomains: Division and fractions. By requiring children to confrontfractional and division situations involving similar contexts,quantities and symbolization, children moved from a Whole NumberQuotient scheme to a Fraction-as-Division scheme. At the end of thestudy, children were able to think about fractions in terms of divisionand were able to solve problems involving division of fractions
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