Estudo do conceito de limites de funções reais no ensino médio: uma proposta de atividades utilizando o software WxMAXIMA
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Data
2018-06-15
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Universidade Federal de Goiás
Resumo
The mathematics of High School does not contemplate in a direct way the study of calculation of limits of real functions in its curricular programs, although such content is fundamental part in several undergraduate courses, like Engineering and Informatics. In this context, the development of this research seeks answers to the questions: What contributions does the use of the WxMAXIMA software provide for the understanding of the concepts of limits of real functions at the High School? What is the achievement of the students participating in the project with the study of limits of real functions? Therefore, the main objective of this dissertation is to apply and analyze a teaching proposal for High School students, consisting of activities on the calculation of limits of real functions in the computer lab. In order to reach this objective, a bibliographical research was carried out, highlighting the limits of real functions, concepts, the history and application of this subject in the context of mathematics, as well as the definition and application of WxMAXIMA software in the teaching and learning process. In addition to the theoretical study, a case study was developed at the Taguatinga Norte High School, in Distrito Federal, with the collaboration of 20 students, who study at that institution, where the meetings were held using computers of the computer lab in April 2018. With the results obtained through ten activities developed at the Computer Lab, a questionnaire applied to students and the researcher´s field diary, it was possible to verify that the students presented difficulties in the construction and reading of function graphs and in mathematics contents worked in lectures. However, by using the computer as a tool for the study of functions, these students were able to achieve the objectives of the proposed activities quite easily. These results allow us to conclude that the use of the WxMAXIMA software contributed to a better understanding of the concepts of Limits of Real-valued Functions, making the activities more meaningful, since the students were better able to understand the contents of each activity and achieve a better adaptation to WxMAXIMA software.
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Limite de Funções, Funções reais, Gráfico de funções, Software WxMAXIMA, Limits of Functions, Real-valued Functions, Function Graphs, Software WxMAXIMA
Citação
ALVES, L. J. Estudo do conceito de limites de funções reais no ensino médio: uma proposta de atividades utilizando o software WxMAXIMA. 2018. 120 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Catalão, 2018.