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 Mart&iacute ; 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

<dl class="listitem" id="list_lis0005"><dt class="label">•dt><dd>

d="par0005">Proposes a genetic decomposition of the sine, cosine, and their inverse functions.

dd><dt class="label">•dt><dd>

d="par0010">Genetic decomposition is based on a small number of &ldquo;basic mental constructions&rdquo;.

dd><dt class="label">•dt><dd>

d="par0015">Genetic decomposition is useful to describe student behavior.

dd><dt class="label">•dt><dd>

d="par0020">Includes inverse trigonometric functions, a topic neglected in the literature.

dd><dt class="label">•dt><dd>

d="par0025">Has practical applications to improve student understanding of these functions.

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