文章基本信息

标题：Exploring University Mexican Students’ Quality of Intra-Mathematical Connections When Solving Tasks About Derivative Concept
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作者：Camilo Andrés Rodríguez-Nieto ; Flor Monserrat Rodríguez-Vásquez ; Javier García-García 等
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：9
DOI：10.29333/ejmste/11160
语种：English
出版社：Pamukkale Univ Dept Sci Education
摘要：The quality of the intra-mathematical connections made by Mexican university students whensolving tasks on the derivative was characterized. The typology of mathematical connections andthe quality levels of mathematical connections were used. Interviews were conducted based oneight tasks applied to three case studies. The results showed that the quality of the intra?mathematical connections: different representations, procedural, implication, part-whole andmeaning of the students, is found mostly at level 2 (consistent and argued mathematicalconnections) and only one student presented inconsistencies to find the correctness equation ofthe tangent line to the curve at a point (quality level 0 connection). Likewise, the metaphoricalconnection was identified when a student mentioned the metaphorical expression “the graph hasno holes”, which suggests the conceptual metaphor “the graph is a path” referring to the continuityof a function. We believe that quality level 2 mathematical connections ensure understanding, and the quality level 0 mathematical connections are the reasons why students have difficulty understanding the derivative.
关键词：quality of mathematical connections;derivative;university students;thematic analysis