The unit circle approach to the construction of the sine and cosine functions and their inverses: An application of APOS theory
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- 作者：Rafael Martí ; nez-Planell ; rafael.martinez13@upr.edu" class="auth_mail" title="E-mail the corresponding author ; Angel Cruz Delgado angel.cruz14@upr.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：APOS ; Trigonometry ; Unit circle ; Inverse trigonometric functions ; Genetic decomposition
- 刊名：Journal of Mathematical Behavior
- 出版年：2016
- 出版时间：September 2016
- 年：2016
- 卷：43
- 期：Complete
- 页码：111-133
- 全文大小：1170 K
文摘
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Proposes a genetic decomposition of the sine, cosine, and their inverse functions.
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Genetic decomposition is based on a small number of “basic mental constructions”.
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Genetic decomposition is useful to describe student behavior.
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Includes inverse trigonometric functions, a topic neglected in the literature.
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Has practical applications to improve student understanding of these functions.