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：2019
卷号：15
期号：2
页码：1-15
DOI：10.29333/ejmste/100640
出版社：Pamukkale Univ Dept Sci Education
摘要：The aim of this work was to identify and characterize the levels of development of
derivative schema. In order to do so, a questionnaire to 103 university students with
previous instruction in Differential Calculus was applied. The questionnaire was
composed of three tasks. For the identification of the levels of development of schema
and their subsequent characterization, we consider the framework proposed by the
APOS theory. In particular, this framework was operationalized through the
establishment of 27 variables that allowed for the breakdown of the resolution
protocols from the questionnaire into discrete elements. In this way, we obtained a
vector associated with each of these variables. The identification of students assigned
to each level of development of schema was carried out by a cluster analysis.
Subsequently, we performed a statistical analysis of frequencies and implicative, with
the 27 variables, which allowed to characterize the levels of development identified.
关键词：derivative schema; levels of development; cluster analysis; implicative;
analysis; calculus
