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RESEARCH PAPER
Exploring University Mexican Students’ Quality of Intra-Mathematical Connections When Solving Tasks About Derivative Concept
1
Autonomous University of Guerrero, MEXICO
Publication date: 2021-08-23
EURASIA J. Math., Sci Tech. Ed 2021;17(9):em2006
KEYWORDS
ABSTRACT
The quality of the intra-mathematical connections made by Mexican university students when
solving tasks on the derivative was characterized. The typology of mathematical connections and
the quality levels of mathematical connections were used. Interviews were conducted based on
eight tasks applied to three case studies. The results showed that the quality of the intra-mathematical connections: different representations, procedural, implication, part-whole and
meaning of the students, is found mostly at level 2 (consistent and argued mathematical
connections) and only one student presented inconsistencies to find the correctness equation of
the tangent line to the curve at a point (quality level 0 connection). Likewise, the metaphorical
connection was identified when a student mentioned the metaphorical expression “the graph has
no holes”, which suggests the conceptual metaphor “the graph is a path” referring to the continuity
of 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.
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