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  • 标题:Mathematics Education Students’ Understanding of Binomial Series Expansion Based on the APOS Theory
  • 本地全文:下载
  • 作者:Benjamin Tatira
  • 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:12
  • DOI:10.29333/ejmste/11287
  • 语种:English
  • 出版社:Pamukkale Univ Dept Sci Education
  • 摘要:Undergraduate students study the topic of binomial series expansion as part of their Calculuscourse. The purpose of this study was to explore the mental constructions of binomial seriesexpansion of a class of 159 students. Data were collected through a written assessment task byeach member of the class. A convenient sample of eleven students from the class was selected toundertake semi-structured interviews. The Action-Process-Object-Schema theory which was useddepicts development of understanding of mathematics concepts through the hierarchical growthof mental constructions. Students in the study coped well with questions requiring action-levelengagements but grappled with those calling for higher-level mental constructions, namely,processes and objects. Developing an object conception for a mathematical concept is thepinnacle for all teaching but also the most difficult to develop. Thus, this study underlines thesignificance of helping students construct object conceptions in binomial series expansion.
  • 关键词:APOS theory;binomial series;binomial theorem;calculus;mathematics education;mental structures
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