This thesis deals with the topic of Computer Algebraic Systems (i.e. CAS). Its first part analyses and compares the freely available CAS programs regarding both the propects of development and user suitability of this particular application for a secondary school or a university (i.e. bachelor) student. The second part of the thesis concerns with certain theoretical points that are subsequently followed by more practical ones where the main objective is to propose and to put into practice individual course components, including the preparation of a~specific working environment which the course would be implemented in. The third (i.e last) part describes and accounts for particular selections made during the outline and realization of the e-learning course.

Submitted by Morgana Andrade (morgana.andrade@ufes.br) on 2016-05-31T15:07:18Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) tese_7673_dissertação_Paulo Roberto_final.pdf: 2114889 bytes, checksum: 65598819de00d5c392710fbb5becb240 (MD5) / Approved for entry into archive by Patricia Barros (patricia.barros@ufes.br) on 2016-06-07T18:35:59Z (GMT) No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) tese_7673_dissertação_Paulo Roberto_final.pdf: 2114889 bytes, checksum: 65598819de00d5c392710fbb5becb240 (MD5) / Made available in DSpace on 2016-06-07T18:35:59Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) tese_7673_dissertação_Paulo Roberto_final.pdf: 2114889 bytes, checksum: 65598819de00d5c392710fbb5becb240 (MD5) / CAPES / O conteúdo deste trabalho oferece um conhecimento complementar aos abordados nos livros didáticos, em que suavizaremos o ensino de informações relevantes e responderemos algumas perguntas que normalmente nos deparamos ao lecionarmos matrizes, determinantes e sistemas lineares aos alunos do segundo ano do ensino médio. / The contents of this paper provides a complementary knowledge covered in the textbooks, in which we will smoothly teaching relevant information and answer some questions that usually come across to teach matrices, determinants and linear systems students of the second year of high school.

Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-06-25T14:16:08Z No. of bitstreams: 2 Dissertação - Leopoldo José ALves - 2018.pdf: 5213486 bytes, checksum: 037bff67b65db65da5d517f8efdc57b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-06-27T11:40:17Z (GMT) No. of bitstreams: 2 Dissertação - Leopoldo José ALves - 2018.pdf: 5213486 bytes, checksum: 037bff67b65db65da5d517f8efdc57b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-06-27T11:40:17Z (GMT). No. of bitstreams: 2 Dissertação - Leopoldo José ALves - 2018.pdf: 5213486 bytes, checksum: 037bff67b65db65da5d517f8efdc57b8 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-06-15 / 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. / A matemática do Ensino Médio não contempla de maneira direta o estudo de cálculo de limites de funções reais em seus programas curriculares, embora tal conteúdo seja parte fundamental em diversos cursos de Graduação, como Engenharias e Informática. Nesse contexto, o desenvolvimento desta pesquisa busca respostas às indagações: Quais as contribuições que o uso do software WxMAXIMA proporciona para a compreensão dos conceitos de limites de funções reais no nível médio? Qual o aproveitamento por parte dos alunos participantes do projeto com o estudo de limites de funções reais? Nesse sentido, o objetivo principal desta dissertação é aplicar e analisar uma proposta de ensino, para alunos do Ensino Médio, consistindo de atividades sobre o cálculo de limites de funções reais no laboratório de informática. Para o alcance desse objetivo foi realizada uma pesquisa bibliográfica, destacando limites de funções reais, conceitos, o histórico e aplicação desse assunto no contexto da Matemática e, também, a definição e aplicação do software WxMAXIMA no processo de ensino e aprendizagem. Além do estudo teórico, foi desenvolvido um estudo de caso no Centro de Ensino Médio de Taguatinga Norte, no Distrito Federal, contando com a colaboração de 20 alunos que estudam na referida instituição, onde os encontros foram realizados utilizando os computadores do Laboratório de Informática no mês de abril de 2018. Com os resultados obtidos por meio de dez atividades desenvolvidas no Laboratório de Informática, questionário aplicado aos alunos e diário de campo do pesquisador, foi possível constatar que os alunos apresentavam dificuldades na construção e leitura de gráficos de funções e nos conteúdos de Matemática trabalhados em aulas expositivas. Porém, ao utilizarem o computador como ferramenta para o estudo de funções, esses alunos conseguiram atingir os objetivos das atividades propostas com certa facilidade. Esses resultados permitem concluir que o uso do software WxMAXIMA contribuiu para melhor compreensão de conceitos de limites de funções reais, tornando as atividades mais significativas, uma vez que os alunos foram compreendendo melhor o conteúdo ministrado em cada atividade e conquistando uma melhor adaptação ao software WxMAXIMA.