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  • 标题:Egyptian Fractions and Representation Registers in the Construction of the Fraction Concept
  • 本地全文:下载
  • 作者:Francisco Clemente ; Josep Maria Fortuny
  • 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:2021
  • 卷号:17
  • 期号:7
  • 页码:em1984
  • DOI:10.29333/ejmste/10992
  • 出版社:Pamukkale Univ Dept Sci Education
  • 摘要:In this work we will analyze the relation between registers of representation and the construction of the fraction concept. Ninety-six students from first year of compulsory secondary education participated in the study, and performed equal share tasks in the context of Egyptian fractions (unit fractions with different denominators). The aim was to determine if, with these types of tasks, students could improve their learning of the different meanings of the fraction concept. Our results indicate that there seems to be a relationship between the meaning used and the representation chosen. Similarly, we found that—with these tasks—students significantly increased the number of registers of representation they used. Students who used distinct representations had to coordinate several registers, which might be interpreted as proof of the development of conceptual understanding.
  • 其他关键词:Egyptian fractions, fractions, rational numbers, registers of representation, share
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