Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia

Detalhes bibliográficos
Autor(a) principal: Nascimento, Rosilda Santos do
Data de Publicação: 2020
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
Texto Completo: https://repositorio.ufpb.br/jspui/handle/123456789/18398
Resumo: The professionals trained in the Pedagogy course, characterized as "multipurpose teachers" are responsible for teaching all the curricular components of elementary school - early years, including the subject of Mathematics. Based on the guidelines present in the National Common Curricular Base (BRASIL, 2017), for this area, one of the Thematic Units corresponds to the teaching of Algebra from the 1st to the 9th year, with defined objectives and skills. Based on Tardif (2002), Pimenta (1999), Curi (2004) and Serrazina (2002), we present the necessary knowledge in teacher education, along with the trajectory and conceptualizations of algebraic thinking through the ideas of Lins and Gimenez (1998) , PCN (1998), Van de Walle (2009), Kaput (2008), Ponte, Branco and Matos (2009), among other authors, who state that thinking algebraically is nothing more than producing meanings for situations in terms of numbers and arithmetic operations with the equalities, inequalities, generalize and perceive regularities. In this circumstance, the present research aimed to analyze the knowledge of students of a Pedagogy course about problem situations involving Algebraic Thinking in the early years of Elementary School. The study has a qualitative approach, as it seeks to interpret the phenomenon of the understanding of algebraic thinking by students of Pedagogy. In addition, this research has an exploratory character, as it aimed to become familiar with a subject that has not been investigated yet. The information was obtained through a questionnaire applied to 29 students in two classes of a Pedagogy course at the Federal University of Paraíba with different profiles. The questionnaire was made up of questions covering the social, academic and professional aspects of the participants, in addition to didactic questions corresponding to the early years of elementary school related to algebra. The information collected was categorized based on the content analysis of Bardin (1979) and analyzed in the light of the theoretical framework on teacher education and Algebraic Thinking. The results indicated that the majority of the participants used arithmetic representations to solve the problem situations covering Algebraic Thinking. Another point was the significant error rate for the solutions to the questions, although all could be solved with arithmetic concepts. Thus, we conclude by highlighting the need to improve basic knowledge of arithmetic for teaching mathematics to students of Pedagogy, which will be the basis for the construction of algebraic concepts.
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spelling Pensamento algébrico: um estudo exploratório com estudantes de PedagogiaPensamento algébricoFormação de professoresEnsino de matemática nos anos iniciaisResolução de problemasAlgebraic thinkingTeacher trainingTeaching mathematics in the early yearsProblem solvingCNPQ::CIENCIAS HUMANAS::EDUCACAOThe professionals trained in the Pedagogy course, characterized as "multipurpose teachers" are responsible for teaching all the curricular components of elementary school - early years, including the subject of Mathematics. Based on the guidelines present in the National Common Curricular Base (BRASIL, 2017), for this area, one of the Thematic Units corresponds to the teaching of Algebra from the 1st to the 9th year, with defined objectives and skills. Based on Tardif (2002), Pimenta (1999), Curi (2004) and Serrazina (2002), we present the necessary knowledge in teacher education, along with the trajectory and conceptualizations of algebraic thinking through the ideas of Lins and Gimenez (1998) , PCN (1998), Van de Walle (2009), Kaput (2008), Ponte, Branco and Matos (2009), among other authors, who state that thinking algebraically is nothing more than producing meanings for situations in terms of numbers and arithmetic operations with the equalities, inequalities, generalize and perceive regularities. In this circumstance, the present research aimed to analyze the knowledge of students of a Pedagogy course about problem situations involving Algebraic Thinking in the early years of Elementary School. The study has a qualitative approach, as it seeks to interpret the phenomenon of the understanding of algebraic thinking by students of Pedagogy. In addition, this research has an exploratory character, as it aimed to become familiar with a subject that has not been investigated yet. The information was obtained through a questionnaire applied to 29 students in two classes of a Pedagogy course at the Federal University of Paraíba with different profiles. The questionnaire was made up of questions covering the social, academic and professional aspects of the participants, in addition to didactic questions corresponding to the early years of elementary school related to algebra. The information collected was categorized based on the content analysis of Bardin (1979) and analyzed in the light of the theoretical framework on teacher education and Algebraic Thinking. The results indicated that the majority of the participants used arithmetic representations to solve the problem situations covering Algebraic Thinking. Another point was the significant error rate for the solutions to the questions, although all could be solved with arithmetic concepts. Thus, we conclude by highlighting the need to improve basic knowledge of arithmetic for teaching mathematics to students of Pedagogy, which will be the basis for the construction of algebraic concepts.NenhumaOs profissionais formados no curso de Pedagogia, caracterizados como "professores polivalentes" são responsáveis por ensinar todos os componentes curriculares do ensino fundamental – anos iniciais, incluindo a disciplina de Matemática. A partir das orientações presentes na Base Nacional Comum Curricular (BRASIL, 2017), para essa área, uma das Unidades Temáticas corresponde ao ensino da Álgebra do 1° ao 9° ano, com objetivos e habilidades definidos. Com base em Tardif (2002), Pimenta (1999), Curi (2004) e Serrazina (2002), apresentamos os saberes necessários na formação docente, juntamente com a trajetória e conceituações do pensamento algébrico através das ideias de Lins e Gimenez (1998), PCN (1998), Van de Walle (2009), Kaput (2008), Ponte, Branco e Matos (2009), dentre outros autores, que afirmam que o pensar algebricamente nada mais é do que produzir significados para as situações em termos de números e operações aritméticas com as igualdades, desigualdades, generalizar e perceber regularidades. Nessa circunstância, a presente pesquisa objetivou analisar os conhecimentos dos estudantes de um curso de Pedagogia acerca de situações-problema que envolvam o Pensamento Algébrico nos anos iniciais do Ensino Fundamental. O estudo tem uma abordagem qualitativa, pois busca interpretar o fenômeno da compreensão do pensamento algébrico por estudantes de Pedagogia. Além disso, esta pesquisa tem um caráter exploratório, pois teve como finalidade familiarizar-se com um assunto ainda pouco investigado. As informações foram obtidas através de um questionário aplicado a 29 estudantes em duas turmas de um curso de Pedagogia da Universidade Federal da Paraíba com perfis diferentes. O questionário foi composto de questões contemplando os aspectos sociais, acadêmicos e profissionais dos participantes, além de questões didáticas correspondendo aos anos iniciais do Ensino Fundamental relacionadas à Álgebra. As informações coletadas foram categorizadas a partir da análise de conteúdo de Bardin (1979) e analisadas à luz do referencial teórico sobre formação docente e Pensamento Algébrico. Os resultados indicaram que a maioria dos participantes utilizou representações aritméticas para as resoluções das situações-problema abrangendo o Pensamento Algébrico. Outro ponto foi o índice significativo de erros para as soluções das questões, embora todas pudessem ser resolvidas com conceitos aritméticos. Assim concluímos destacando a necessidade do aprimoramento de conhecimentos básicos de aritmética para o ensino de Matemática junto aos estudantes de Pedagogia, os quais serão a base para a construção de conceitos algébricos.Universidade Federal da ParaíbaBrasilEducaçãoPrograma de Pós-Graduação em EducaçãoUFPBAzerêdo, Maria Alves dehttp://lattes.cnpq.br/0309471026419288Nascimento, Rosilda Santos do2020-11-11T00:09:59Z2020-06-092020-11-11T00:09:59Z2020-02-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesishttps://repositorio.ufpb.br/jspui/handle/123456789/18398porhttp://creativecommons.org/licenses/by-nd/3.0/br/info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFPBinstname:Universidade Federal da Paraíba (UFPB)instacron:UFPB2021-09-14T00:13:06Zoai:repositorio.ufpb.br:123456789/18398Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufpb.br/PUBhttp://tede.biblioteca.ufpb.br:8080/oai/requestdiretoria@ufpb.br|| diretoria@ufpb.bropendoar:2021-09-14T00:13:06Biblioteca Digital de Teses e Dissertações da UFPB - Universidade Federal da Paraíba (UFPB)false
dc.title.none.fl_str_mv Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
title Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
spellingShingle Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
Nascimento, Rosilda Santos do
Pensamento algébrico
Formação de professores
Ensino de matemática nos anos iniciais
Resolução de problemas
Algebraic thinking
Teacher training
Teaching mathematics in the early years
Problem solving
CNPQ::CIENCIAS HUMANAS::EDUCACAO
title_short Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
title_full Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
title_fullStr Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
title_full_unstemmed Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
title_sort Pensamento algébrico: um estudo exploratório com estudantes de Pedagogia
author Nascimento, Rosilda Santos do
author_facet Nascimento, Rosilda Santos do
author_role author
dc.contributor.none.fl_str_mv Azerêdo, Maria Alves de
http://lattes.cnpq.br/0309471026419288
dc.contributor.author.fl_str_mv Nascimento, Rosilda Santos do
dc.subject.por.fl_str_mv Pensamento algébrico
Formação de professores
Ensino de matemática nos anos iniciais
Resolução de problemas
Algebraic thinking
Teacher training
Teaching mathematics in the early years
Problem solving
CNPQ::CIENCIAS HUMANAS::EDUCACAO
topic Pensamento algébrico
Formação de professores
Ensino de matemática nos anos iniciais
Resolução de problemas
Algebraic thinking
Teacher training
Teaching mathematics in the early years
Problem solving
CNPQ::CIENCIAS HUMANAS::EDUCACAO
description The professionals trained in the Pedagogy course, characterized as "multipurpose teachers" are responsible for teaching all the curricular components of elementary school - early years, including the subject of Mathematics. Based on the guidelines present in the National Common Curricular Base (BRASIL, 2017), for this area, one of the Thematic Units corresponds to the teaching of Algebra from the 1st to the 9th year, with defined objectives and skills. Based on Tardif (2002), Pimenta (1999), Curi (2004) and Serrazina (2002), we present the necessary knowledge in teacher education, along with the trajectory and conceptualizations of algebraic thinking through the ideas of Lins and Gimenez (1998) , PCN (1998), Van de Walle (2009), Kaput (2008), Ponte, Branco and Matos (2009), among other authors, who state that thinking algebraically is nothing more than producing meanings for situations in terms of numbers and arithmetic operations with the equalities, inequalities, generalize and perceive regularities. In this circumstance, the present research aimed to analyze the knowledge of students of a Pedagogy course about problem situations involving Algebraic Thinking in the early years of Elementary School. The study has a qualitative approach, as it seeks to interpret the phenomenon of the understanding of algebraic thinking by students of Pedagogy. In addition, this research has an exploratory character, as it aimed to become familiar with a subject that has not been investigated yet. The information was obtained through a questionnaire applied to 29 students in two classes of a Pedagogy course at the Federal University of Paraíba with different profiles. The questionnaire was made up of questions covering the social, academic and professional aspects of the participants, in addition to didactic questions corresponding to the early years of elementary school related to algebra. The information collected was categorized based on the content analysis of Bardin (1979) and analyzed in the light of the theoretical framework on teacher education and Algebraic Thinking. The results indicated that the majority of the participants used arithmetic representations to solve the problem situations covering Algebraic Thinking. Another point was the significant error rate for the solutions to the questions, although all could be solved with arithmetic concepts. Thus, we conclude by highlighting the need to improve basic knowledge of arithmetic for teaching mathematics to students of Pedagogy, which will be the basis for the construction of algebraic concepts.
publishDate 2020
dc.date.none.fl_str_mv 2020-11-11T00:09:59Z
2020-06-09
2020-11-11T00:09:59Z
2020-02-28
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://repositorio.ufpb.br/jspui/handle/123456789/18398
url https://repositorio.ufpb.br/jspui/handle/123456789/18398
dc.language.iso.fl_str_mv por
language por
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dc.publisher.none.fl_str_mv Universidade Federal da Paraíba
Brasil
Educação
Programa de Pós-Graduação em Educação
UFPB
publisher.none.fl_str_mv Universidade Federal da Paraíba
Brasil
Educação
Programa de Pós-Graduação em Educação
UFPB
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da UFPB
instname:Universidade Federal da Paraíba (UFPB)
instacron:UFPB
instname_str Universidade Federal da Paraíba (UFPB)
instacron_str UFPB
institution UFPB
reponame_str Biblioteca Digital de Teses e Dissertações da UFPB
collection Biblioteca Digital de Teses e Dissertações da UFPB
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações da UFPB - Universidade Federal da Paraíba (UFPB)
repository.mail.fl_str_mv diretoria@ufpb.br|| diretoria@ufpb.br
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