a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra

Detalhes bibliográficos
Autor(a) principal: Haghverdi, Majid
Data de Publicação: 2012
Outros Autores: Shahvarani Semnani, Ahmad, Seifi, Mohamad
Tipo de documento: Artigo
Idioma: por
Título da fonte: Bolema: Boletim de Educação Matemática
Texto Completo: https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/4554
Resumo: This paper focuses on two approaches for facilitating the process of mathematics word problems solving. The first approach distinguishes different kinds of occurred errors and the second one recognizes various required and underlying knowledge. The first approach applies Kinfong and Holtan's framework of occurred errors and the second approach applies Mayer’s theory (1992) of underlying knowledge for solving word problems. The main aim of this paper is to examine the relationship between different kinds of occurred errors and various required knowledge in solving three types of word problems (Arithmetic, Algebra, Geometry). The research methodology is a semi experimental method. The subjects include 89 seven grade students (male and female). The research tools are a descriptive math test regarding six word problems and a directed interview. The results indicate that in solving the arithmetic word problems, increasing students' errors result from lack of linguistic, semantic, structural and communicational knowledge. Regarding geometric word problems, the lack of semantic, intuition and structural knowledge cause students' errors. But regarding algebra word problems, having calculation knowledge is the reason for higher error rate. Also the results show that the highest deficiency is related to the lack semantic, structural and communicational knowledge.
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spelling a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavraThe Relationship between Different Kinds of Students’ Errors and the Knowledge Required to Solve Mathematics Word ProblemsWord Problems. Arithmetic. Algebra. Geometry. Necessary Knowledge. Students’ Errors.This paper focuses on two approaches for facilitating the process of mathematics word problems solving. The first approach distinguishes different kinds of occurred errors and the second one recognizes various required and underlying knowledge. The first approach applies Kinfong and Holtan's framework of occurred errors and the second approach applies Mayer’s theory (1992) of underlying knowledge for solving word problems. The main aim of this paper is to examine the relationship between different kinds of occurred errors and various required knowledge in solving three types of word problems (Arithmetic, Algebra, Geometry). The research methodology is a semi experimental method. The subjects include 89 seven grade students (male and female). The research tools are a descriptive math test regarding six word problems and a directed interview. The results indicate that in solving the arithmetic word problems, increasing students' errors result from lack of linguistic, semantic, structural and communicational knowledge. Regarding geometric word problems, the lack of semantic, intuition and structural knowledge cause students' errors. But regarding algebra word problems, having calculation knowledge is the reason for higher error rate. Also the results show that the highest deficiency is related to the lack semantic, structural and communicational knowledge. Abstract The main objective of this research is to examine the relationship between different kinds of errors and the knowledge required to solve word problems in Arithmetic, Algebra and Geometry. Kinfong’s and Holtan’s framework supports the analysis of the errors, and Mayer’s theory was implemented to understand the necessary knowledge for solving math word problems. The research methodology follows a semi-experimental method. Research tools comprise both a descriptive math test and a directed interview. The research findings revealed that students’ errors when solving arithmetic word problems result from the lack of linguistic, semantic, structural and communicational knowledge; when solving the geometric word problems, the lack of semantic, intuition and structural knowledge were the cause of the students’ errors. Regarding algebra word problems, miscalculation was the reason for the higher error rate. Results show that the highest deficiency is mainly related to the lack of semantic, structural and communicational knowledge. Keywords: Word Problems. Arithmetic. Algebra. Geometry. Necessary Knowledge. Students’ Errors. A Relação entre Diferentes Tipos de Erros Cometidos por Estudantes e o Conhecimento Exigido para Resolver Problemas-Palavra Resumo O principal objetivo desta pesquisa é examinar a relação entre diferentes tipos de erros cometidos por estudantes e os conhecimentos necessários para resolver situações problema em Álgebra, Aritmética e Geometria. Para a análise de erros seguimos as considerações de Kinfong e Holtan e para investigar o conhecimento necessário para ultrapassar os erros mobilizamos a teoria de Mayer. A metodologia de pesquisa é semi experimental, envolvendo um teste de matemática com seis questões e entrevistas dirigidas. Os resultados da pesquisa revelaram que os erros na solução dos problemas palavra aritméticos resultaram da falta de conhecimentos linguísticos, semânticos, estruturais e comunicativos; no que diz respeito aos problemas-palavra, os erros vinculam-se à lacunas no conhecimento semântico, estrutural e intuitivo. Em relação aos problemas palavra algébricos os erros devem-se a lacunas quanto às operações matemáticas. Em síntese, os resultados mostram que a maior deficiência dos alunos relaciona-se a lacunas relativas ao conhecimento semântico, estrutural e comunicativo. Palavras-chave: Situações-Problema. Aritmética. Álgebra. Geometria. Conhecimento Subjacente. Análise de Erros.UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas2012-05-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/4554Bolema: Boletim de Educação Matemática; v. 26 n. 42B (2012); p. 649-6651980-44150103-636Xreponame:Bolema: Boletim de Educação Matemáticainstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/4554/4401Haghverdi, MajidShahvarani Semnani, AhmadSeifi, Mohamadinfo:eu-repo/semantics/openAccess2012-05-21T14:58:25Zoai:periodicos.rc.biblioteca.unesp.br:article/4554Revistahttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/PUBhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/oaibolema.contato@gmail.com||romiarka@gmail.com1980-44150103-636Xopendoar:2012-05-21T14:58:25Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
The Relationship between Different Kinds of Students’ Errors and the Knowledge Required to Solve Mathematics Word Problems
title a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
spellingShingle a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
Haghverdi, Majid
Word Problems. Arithmetic. Algebra. Geometry. Necessary Knowledge. Students’ Errors.
title_short a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
title_full a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
title_fullStr a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
title_full_unstemmed a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
title_sort a relação entre os diferentes tipos de erros dos alunos e os conhecimentos necessários para resolver problemas de matemática palavra
author Haghverdi, Majid
author_facet Haghverdi, Majid
Shahvarani Semnani, Ahmad
Seifi, Mohamad
author_role author
author2 Shahvarani Semnani, Ahmad
Seifi, Mohamad
author2_role author
author
dc.contributor.author.fl_str_mv Haghverdi, Majid
Shahvarani Semnani, Ahmad
Seifi, Mohamad
dc.subject.por.fl_str_mv Word Problems. Arithmetic. Algebra. Geometry. Necessary Knowledge. Students’ Errors.
topic Word Problems. Arithmetic. Algebra. Geometry. Necessary Knowledge. Students’ Errors.
description This paper focuses on two approaches for facilitating the process of mathematics word problems solving. The first approach distinguishes different kinds of occurred errors and the second one recognizes various required and underlying knowledge. The first approach applies Kinfong and Holtan's framework of occurred errors and the second approach applies Mayer’s theory (1992) of underlying knowledge for solving word problems. The main aim of this paper is to examine the relationship between different kinds of occurred errors and various required knowledge in solving three types of word problems (Arithmetic, Algebra, Geometry). The research methodology is a semi experimental method. The subjects include 89 seven grade students (male and female). The research tools are a descriptive math test regarding six word problems and a directed interview. The results indicate that in solving the arithmetic word problems, increasing students' errors result from lack of linguistic, semantic, structural and communicational knowledge. Regarding geometric word problems, the lack of semantic, intuition and structural knowledge cause students' errors. But regarding algebra word problems, having calculation knowledge is the reason for higher error rate. Also the results show that the highest deficiency is related to the lack semantic, structural and communicational knowledge.
publishDate 2012
dc.date.none.fl_str_mv 2012-05-19
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/4554
url https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/4554
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language por
dc.relation.none.fl_str_mv https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/4554/4401
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
publisher.none.fl_str_mv UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
dc.source.none.fl_str_mv Bolema: Boletim de Educação Matemática; v. 26 n. 42B (2012); p. 649-665
1980-4415
0103-636X
reponame:Bolema: Boletim de Educação Matemática
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instname_str Universidade Estadual Paulista (UNESP)
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reponame_str Bolema: Boletim de Educação Matemática
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