Bibliographic citations
Valenzuela, B., (2019). Una perspectiva del teorema fundamental del cálculo basado en la teoría de registros de representación semiótica con estudiantes de ingeniería [Pontificia Universidad Católica del Perú]. http://hdl.handle.net/20.500.12404/13416
Valenzuela, B., Una perspectiva del teorema fundamental del cálculo basado en la teoría de registros de representación semiótica con estudiantes de ingeniería []. PE: Pontificia Universidad Católica del Perú; 2019. http://hdl.handle.net/20.500.12404/13416
@mastersthesis{sunedu/2666620,
title = "Una perspectiva del teorema fundamental del cálculo basado en la teoría de registros de representación semiótica con estudiantes de ingeniería",
author = "Valenzuela Pagaza, Brian Joel",
publisher = "Pontificia Universidad Católica del Perú",
year = "2019"
}
To do this work, we have reviewed research backgrounds that have the Fundamental Theorem of Calculus (FTC) as a mathematical object of study, whether with the use of technology or without it. Also, we study the applications present in the experiments carried out in these investigations. Likewise, we have justified the completion of our research considering the academic, curricular, personal and professional aspects to show the relevance of the execution of our work. The objective of our research is to analyze the coordination of the representations in the Registers of Semiotic Representation: graphic-algebraic-natural language, that students of Food Engineering, of a public university of Lima, perform when they develop a problem situation related to FTC. The theoretical framework of the Theory of Registers of Semiotic Representation (TRSR) of Duval (1995), provides valuable and necessary tools to understand and interpret the transformations made by research subjects when they develop a problem situation related to the FTC. Likewise, to guide our research we choose as a methodological referential aspects of the Didactic Engineering (ID) of Artigue (1995). Finally, to analyze the results obtained from the problem situation, we compared the a priori analysis with the posteriori analysis, characteristic of the ID, to observe whether or not the results were those predicted by the researcher. This way of carrying out the analysis allowed us to conclude that the use of the GeoGebra favors the conversion of representations in the algebraic register to the graphic, in addition, to facilitate the treatments in the graphic register. Likewise, the TRSR allows us to explain how conversions and treatments are developed, as well as to identify the difficulties for which students do not coordinate.
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