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Title:
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ERRORS IN THE STUDY OF THE VARIATIONAL BEHAVIOR OF FUNCTIONS IN THE UNIVERSITY ENGINEERING STUDENTS |
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Author(s):
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Alejandro Ecos Espino, Joffré Huamán Núñez, Braulio Barzola Moscoso, Zoraida Manrique Chávez, Alejandro Rumaja Alvitez and Oscar García Cajo
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ISBN:
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978-989-8533-98-2 |
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Editors:
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Piet Kommers, Adriana Backx Noronha Viana, Tomayess Issa and Pedro Isaías |
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Year:
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2020 |
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Edition:
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Single |
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Keywords:
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Errors, Functions, Variational Behavior |
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Type:
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Full |
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First Page:
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79 |
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Last Page:
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86 |
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Language:
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English |
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Cover:
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Full Contents:
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click to dowload 
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Paper Abstract:
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The study of the variational behavior of functions constitutes an important element in the understanding of the change of
phenomena in real life. His understanding is an essential axis in the mathematical training of university students, especially
those who pursue engineering careers. This article presents the results of a study whose objective was to determine the
mistakes made by engineering students about the variational behavior of functions. The Duval Semiotics Records Theory
was taken as a reference and a questionnaire was prepared with questions about identification of regions of variability for
x and y; regions of growth, decrease, stability, extreme values and, analysis and description of the behavior of the
function. The evaluation of the answers was done in a quantitative-qualitative way, from an exploratory and descriptive
perspective, with 100 students participating in the civil engineering career. The results indicate that students do not make
a real reflection on the variational behavior in intervals of the variables or in a global way. They have difficulty
discriminating between the behavior of the function and the location of the function. They present cognitive difficulties
that do not allow them to make an adequate conversion from one register to the other. Errors related to mathematical
language were found, to the limitations to obtain spatial information, to establish erroneous inferences and to the inadequate
development of previous knowledge, which does not allow them to properly evaluate the variational behavior of the
functions. |
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