Difficulties in learning operative integer numbers in elementary school
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UFC |
Texto Completo: | http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5569 |
Resumo: | The present works aimed to identify the causes that make students to have difficulties in the study of integer numbers, verifying accurately the up to what level they manage property that number system, as well to seize the most popular mistakes made by students. In the first part, we offer theoretical bases supported by opinions of authors about the subject. Included in the first part is also a brief history about the evolution of the integer number system, in particular who it appeared, when it started being used, who mathematicians organized the integer numbers system, the origin of the symbols (+) plus and (-) minus. Also in this first part there are comments by authors regarding mathematics education, where they try to justify the low rate of learning in such a discipline. We comment on possible causes of the low performance of students in class and to whom one should blame: Teacher? Student? Educational system? School? For some authors, the success of learning depends a bit on all of these factors, thus teachers, students, educational system and school ought to do their part. Through the didactical strategies suggested, we can understand how the learning process happens and in which situation a student seize the knowledge. In the second part of this work, we perform a research with 100 students from four schools in Fortaleza, making use of two different evaluations. Students are required to ordinate, classify and operate integer numbers. We show the teacherâs methodology, the obstacle faced by students when operating with integer numbers, an analysis of the difficulties in the study of integer numbers, keeping track of the mistakes in order to identify the most often ones in each school and afterwards combat them. Some conclusions, based on the sample data, are delivered at the end of this work, offering also some methodological tools. |
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info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisDifficulties in learning operative integer numbers in elementary schoolDificuldades na aprendizagem operatÃria de nÃmeros inteiros no ensino fundamental2010-11-16Jose Othon Dantas Lopes06009930359http://lattes.cnpq.br/2451592641376001Josà RobÃrio RogÃrio51983273791http://lattes.cnpq.br/7069378050895238Francisco GÃvane Muniz Cunha46446249349 http://lattes.cnpq.br/2653697909924911 17035341315http://lattes.cnpq.br/3554085188029453Francisco Tavares da Rocha NetoUniversidade Federal do CearÃPrograma de PÃs-GraduaÃÃo em Ensino de CiÃncias e MatemÃtica (ENCIMA) UFCBRMATEMATICAThe present works aimed to identify the causes that make students to have difficulties in the study of integer numbers, verifying accurately the up to what level they manage property that number system, as well to seize the most popular mistakes made by students. In the first part, we offer theoretical bases supported by opinions of authors about the subject. Included in the first part is also a brief history about the evolution of the integer number system, in particular who it appeared, when it started being used, who mathematicians organized the integer numbers system, the origin of the symbols (+) plus and (-) minus. Also in this first part there are comments by authors regarding mathematics education, where they try to justify the low rate of learning in such a discipline. We comment on possible causes of the low performance of students in class and to whom one should blame: Teacher? Student? Educational system? School? For some authors, the success of learning depends a bit on all of these factors, thus teachers, students, educational system and school ought to do their part. Through the didactical strategies suggested, we can understand how the learning process happens and in which situation a student seize the knowledge. In the second part of this work, we perform a research with 100 students from four schools in Fortaleza, making use of two different evaluations. Students are required to ordinate, classify and operate integer numbers. We show the teacherâs methodology, the obstacle faced by students when operating with integer numbers, an analysis of the difficulties in the study of integer numbers, keeping track of the mistakes in order to identify the most often ones in each school and afterwards combat them. Some conclusions, based on the sample data, are delivered at the end of this work, offering also some methodological tools.O presente trabalho teve como finalidade identificar as causas que levam os alunos a terem dificuldades com o estudo dos nÃmeros inteiros, verificando atà que ponto eles operam adequadamente com o sistema desses nÃmeros, bem como conhecer erros e acertos mais frequentes cometidos pelos alunos. Numa primeira parte temos uma fundamentaÃÃo teÃrica, onde constam as opiniÃes de alguns autores sobre o assunto. Nela apresentamos uma breve histÃria da evoluÃÃo dos nÃmeros inteiros, como sugiram e em que Ãpoca comeÃaram a serem usados, como os matemÃticos organizaram o sistema dos inteiros, a origem dos sinais (+) positivo e ( - ) negativo. Consta ainda nessa parte, o que os autores comentam sobre o ensino de matemÃtica, onde estes tentam justificar as causas da baixa aprendizagem dessa disciplina. Nela comentamos sobre os possÃveis responsÃveis pelo baixo rendimento dos alunos em sala de aula e a quem seria atribuÃda a responsabilidade: Ao professor? Ao aluno? Ao sistema? A escola? Para alguns autores, a aprendizagem depende um pouco de cada um destes, onde professor, aluno, sistema e escola, devem fazer sua parte. AtravÃs das propostas didÃticas sugeridas, podemos compreender como se dà a aprendizagem e em que situaÃÃo o aluno tem a aquisiÃÃo do conhecimento. Numa segunda parte à feita uma pesquisa com 100 alunos de quatro escolas de Fortaleza com a utilizaÃÃo de duas avaliaÃÃes, onde os alunos sÃo levados a ordenar, classificar e operar com nÃmeros inteiros. Ainda nessa parte mostramos a metodologia dos professores, os obstÃculos encontrados nas operaÃÃes com nÃmeros inteiros, a anÃlise das dificuldades, verificando que o uso de regras se mostra como o grande causador dos erros. O objetivo da pesquisa foi de conhecer as causas das dificuldades no estudo dos inteiros, com o levantamento dos erros de forma a se conhecer os tipos mais encontrados em cada escola e em seguida, confrontÃ-los. No final do trabalho, foram feitas algumas conclusÃes a respeito dos dados obtidos e apresentados alguns recursos metodolÃgicos.http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5569application/pdfinfo:eu-repo/semantics/openAccessporreponame:Biblioteca Digital de Teses e Dissertações da UFCinstname:Universidade Federal do Cearáinstacron:UFC2019-01-21T11:18:37Zmail@mail.com - |
dc.title.en.fl_str_mv |
Difficulties in learning operative integer numbers in elementary school |
dc.title.alternative.pt.fl_str_mv |
Dificuldades na aprendizagem operatÃria de nÃmeros inteiros no ensino fundamental |
title |
Difficulties in learning operative integer numbers in elementary school |
spellingShingle |
Difficulties in learning operative integer numbers in elementary school Francisco Tavares da Rocha Neto MATEMATICA |
title_short |
Difficulties in learning operative integer numbers in elementary school |
title_full |
Difficulties in learning operative integer numbers in elementary school |
title_fullStr |
Difficulties in learning operative integer numbers in elementary school |
title_full_unstemmed |
Difficulties in learning operative integer numbers in elementary school |
title_sort |
Difficulties in learning operative integer numbers in elementary school |
author |
Francisco Tavares da Rocha Neto |
author_facet |
Francisco Tavares da Rocha Neto |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Jose Othon Dantas Lopes |
dc.contributor.advisor1ID.fl_str_mv |
06009930359 |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/2451592641376001 |
dc.contributor.referee1.fl_str_mv |
Josà RobÃrio RogÃrio |
dc.contributor.referee1ID.fl_str_mv |
51983273791 |
dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/7069378050895238 |
dc.contributor.referee2.fl_str_mv |
Francisco GÃvane Muniz Cunha |
dc.contributor.referee2ID.fl_str_mv |
46446249349 |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/2653697909924911 |
dc.contributor.authorID.fl_str_mv |
17035341315 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/3554085188029453 |
dc.contributor.author.fl_str_mv |
Francisco Tavares da Rocha Neto |
contributor_str_mv |
Jose Othon Dantas Lopes Josà RobÃrio RogÃrio Francisco GÃvane Muniz Cunha |
dc.subject.cnpq.fl_str_mv |
MATEMATICA |
topic |
MATEMATICA |
dc.description.abstract.por.fl_txt_mv |
The present works aimed to identify the causes that make students to have difficulties in the study of integer numbers, verifying accurately the up to what level they manage property that number system, as well to seize the most popular mistakes made by students. In the first part, we offer theoretical bases supported by opinions of authors about the subject. Included in the first part is also a brief history about the evolution of the integer number system, in particular who it appeared, when it started being used, who mathematicians organized the integer numbers system, the origin of the symbols (+) plus and (-) minus. Also in this first part there are comments by authors regarding mathematics education, where they try to justify the low rate of learning in such a discipline. We comment on possible causes of the low performance of students in class and to whom one should blame: Teacher? Student? Educational system? School? For some authors, the success of learning depends a bit on all of these factors, thus teachers, students, educational system and school ought to do their part. Through the didactical strategies suggested, we can understand how the learning process happens and in which situation a student seize the knowledge. In the second part of this work, we perform a research with 100 students from four schools in Fortaleza, making use of two different evaluations. Students are required to ordinate, classify and operate integer numbers. We show the teacherâs methodology, the obstacle faced by students when operating with integer numbers, an analysis of the difficulties in the study of integer numbers, keeping track of the mistakes in order to identify the most often ones in each school and afterwards combat them. Some conclusions, based on the sample data, are delivered at the end of this work, offering also some methodological tools. O presente trabalho teve como finalidade identificar as causas que levam os alunos a terem dificuldades com o estudo dos nÃmeros inteiros, verificando atà que ponto eles operam adequadamente com o sistema desses nÃmeros, bem como conhecer erros e acertos mais frequentes cometidos pelos alunos. Numa primeira parte temos uma fundamentaÃÃo teÃrica, onde constam as opiniÃes de alguns autores sobre o assunto. Nela apresentamos uma breve histÃria da evoluÃÃo dos nÃmeros inteiros, como sugiram e em que Ãpoca comeÃaram a serem usados, como os matemÃticos organizaram o sistema dos inteiros, a origem dos sinais (+) positivo e ( - ) negativo. Consta ainda nessa parte, o que os autores comentam sobre o ensino de matemÃtica, onde estes tentam justificar as causas da baixa aprendizagem dessa disciplina. Nela comentamos sobre os possÃveis responsÃveis pelo baixo rendimento dos alunos em sala de aula e a quem seria atribuÃda a responsabilidade: Ao professor? Ao aluno? Ao sistema? A escola? Para alguns autores, a aprendizagem depende um pouco de cada um destes, onde professor, aluno, sistema e escola, devem fazer sua parte. AtravÃs das propostas didÃticas sugeridas, podemos compreender como se dà a aprendizagem e em que situaÃÃo o aluno tem a aquisiÃÃo do conhecimento. Numa segunda parte à feita uma pesquisa com 100 alunos de quatro escolas de Fortaleza com a utilizaÃÃo de duas avaliaÃÃes, onde os alunos sÃo levados a ordenar, classificar e operar com nÃmeros inteiros. Ainda nessa parte mostramos a metodologia dos professores, os obstÃculos encontrados nas operaÃÃes com nÃmeros inteiros, a anÃlise das dificuldades, verificando que o uso de regras se mostra como o grande causador dos erros. O objetivo da pesquisa foi de conhecer as causas das dificuldades no estudo dos inteiros, com o levantamento dos erros de forma a se conhecer os tipos mais encontrados em cada escola e em seguida, confrontÃ-los. No final do trabalho, foram feitas algumas conclusÃes a respeito dos dados obtidos e apresentados alguns recursos metodolÃgicos. |
description |
The present works aimed to identify the causes that make students to have difficulties in the study of integer numbers, verifying accurately the up to what level they manage property that number system, as well to seize the most popular mistakes made by students. In the first part, we offer theoretical bases supported by opinions of authors about the subject. Included in the first part is also a brief history about the evolution of the integer number system, in particular who it appeared, when it started being used, who mathematicians organized the integer numbers system, the origin of the symbols (+) plus and (-) minus. Also in this first part there are comments by authors regarding mathematics education, where they try to justify the low rate of learning in such a discipline. We comment on possible causes of the low performance of students in class and to whom one should blame: Teacher? Student? Educational system? School? For some authors, the success of learning depends a bit on all of these factors, thus teachers, students, educational system and school ought to do their part. Through the didactical strategies suggested, we can understand how the learning process happens and in which situation a student seize the knowledge. In the second part of this work, we perform a research with 100 students from four schools in Fortaleza, making use of two different evaluations. Students are required to ordinate, classify and operate integer numbers. We show the teacherâs methodology, the obstacle faced by students when operating with integer numbers, an analysis of the difficulties in the study of integer numbers, keeping track of the mistakes in order to identify the most often ones in each school and afterwards combat them. Some conclusions, based on the sample data, are delivered at the end of this work, offering also some methodological tools. |
publishDate |
2010 |
dc.date.issued.fl_str_mv |
2010-11-16 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
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publishedVersion |
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masterThesis |
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http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5569 |
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http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5569 |
dc.language.iso.fl_str_mv |
por |
language |
por |
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info:eu-repo/semantics/openAccess |
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openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal do Cearà |
dc.publisher.program.fl_str_mv |
Programa de PÃs-GraduaÃÃo em Ensino de CiÃncias e MatemÃtica (ENCIMA) |
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UFC |
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BR |
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Universidade Federal do Cearà |
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Biblioteca Digital de Teses e Dissertações da UFC |
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Biblioteca Digital de Teses e Dissertações da UFC |
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Universidade Federal do Ceará |
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UFC |
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