Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://doi.org/10.1108/JME-01-2017-0002 http://hdl.handle.net/10437/12500 |
Resumo: | Purpose The purpose of this descriptive study is to investigate why some elementary children have difficulties mastering addition and subtraction calculation tasks. Design/methodology/approach The researchers have examined error types in addition and subtraction calculation made by 697 Portuguese students in elementary grades. Each student completed a written assessment of mathematical knowledge. A system code (e.g. FR = failure to regroup) has been used to grade the tests. A reliability check has been performed on 65 per cent randomly selected exams. Findings Data frequency analyses reveal that the most common type of error was miscalculation for both addition (n = 164; 38.6 per cent) and subtraction (n = 180; 21.7 per cent). The second most common error type was related to failure to regroup in addition (n = 74; 17.5 per cent) and subtraction (n = 139; 16.3 per cent). Frequency of error types by grade level has been provided. Findings from the hierarchical regression analyses indicate that students’ performance differences emerged as a function of error types which indicated students’ types of difficulties. Research limitations/implications There are several limitations of this study: the use of a convenient sample; all schools were located in the northern region of Portugal; the limited number of problems; and the time of the year of assessment. Practical implications Students’ errors suggested that their performance in calculation tasks is related to conceptual and procedural knowledge and skills. Error analysis allows teachers to better understand the individual performance of a diverse group and to tailor instruction to ensure that all students have an opportunity to succeed in mathematics. Social implications Error analysis helps teachers uncover individual students’ difficulties and deliver meaningful instruction to all students. Originality/value This paper adds to the international literature on error analysis and reinforces its value in diagnosing students’ type and severity of math difficulties. |
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Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teachingEDUCAÇÃOAVALIAÇÃO DAS APRENDIZAGENSAPRENDIZAGEMCÁLCULOMATEMÁTICAEDUCATIONSTUDENT ASSESSMENTLEARNINGCALCULUSMATHEMATICSPurpose The purpose of this descriptive study is to investigate why some elementary children have difficulties mastering addition and subtraction calculation tasks. Design/methodology/approach The researchers have examined error types in addition and subtraction calculation made by 697 Portuguese students in elementary grades. Each student completed a written assessment of mathematical knowledge. A system code (e.g. FR = failure to regroup) has been used to grade the tests. A reliability check has been performed on 65 per cent randomly selected exams. Findings Data frequency analyses reveal that the most common type of error was miscalculation for both addition (n = 164; 38.6 per cent) and subtraction (n = 180; 21.7 per cent). The second most common error type was related to failure to regroup in addition (n = 74; 17.5 per cent) and subtraction (n = 139; 16.3 per cent). Frequency of error types by grade level has been provided. Findings from the hierarchical regression analyses indicate that students’ performance differences emerged as a function of error types which indicated students’ types of difficulties. Research limitations/implications There are several limitations of this study: the use of a convenient sample; all schools were located in the northern region of Portugal; the limited number of problems; and the time of the year of assessment. Practical implications Students’ errors suggested that their performance in calculation tasks is related to conceptual and procedural knowledge and skills. Error analysis allows teachers to better understand the individual performance of a diverse group and to tailor instruction to ensure that all students have an opportunity to succeed in mathematics. Social implications Error analysis helps teachers uncover individual students’ difficulties and deliver meaningful instruction to all students. Originality/value This paper adds to the international literature on error analysis and reinforces its value in diagnosing students’ type and severity of math difficulties.Emerald2022-01-24T11:25:24Z2018-01-01T00:00:00Z2018info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.1108/JME-01-2017-0002http://hdl.handle.net/10437/12500engWatson, Silvana MariaLopes, João Arménio LamegoOliveira, Célia Regina GomesJudge, Sharoninfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-09T14:03:23Zoai:recil.ensinolusofona.pt:10437/12500Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:11:36.492910Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
title |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
spellingShingle |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching Watson, Silvana Maria EDUCAÇÃO AVALIAÇÃO DAS APRENDIZAGENS APRENDIZAGEM CÁLCULO MATEMÁTICA EDUCATION STUDENT ASSESSMENT LEARNING CALCULUS MATHEMATICS |
title_short |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
title_full |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
title_fullStr |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
title_full_unstemmed |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
title_sort |
Error patterns in Portuguese students’ addition and subtraction calculation tasks : implications for teaching |
author |
Watson, Silvana Maria |
author_facet |
Watson, Silvana Maria Lopes, João Arménio Lamego Oliveira, Célia Regina Gomes Judge, Sharon |
author_role |
author |
author2 |
Lopes, João Arménio Lamego Oliveira, Célia Regina Gomes Judge, Sharon |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Watson, Silvana Maria Lopes, João Arménio Lamego Oliveira, Célia Regina Gomes Judge, Sharon |
dc.subject.por.fl_str_mv |
EDUCAÇÃO AVALIAÇÃO DAS APRENDIZAGENS APRENDIZAGEM CÁLCULO MATEMÁTICA EDUCATION STUDENT ASSESSMENT LEARNING CALCULUS MATHEMATICS |
topic |
EDUCAÇÃO AVALIAÇÃO DAS APRENDIZAGENS APRENDIZAGEM CÁLCULO MATEMÁTICA EDUCATION STUDENT ASSESSMENT LEARNING CALCULUS MATHEMATICS |
description |
Purpose The purpose of this descriptive study is to investigate why some elementary children have difficulties mastering addition and subtraction calculation tasks. Design/methodology/approach The researchers have examined error types in addition and subtraction calculation made by 697 Portuguese students in elementary grades. Each student completed a written assessment of mathematical knowledge. A system code (e.g. FR = failure to regroup) has been used to grade the tests. A reliability check has been performed on 65 per cent randomly selected exams. Findings Data frequency analyses reveal that the most common type of error was miscalculation for both addition (n = 164; 38.6 per cent) and subtraction (n = 180; 21.7 per cent). The second most common error type was related to failure to regroup in addition (n = 74; 17.5 per cent) and subtraction (n = 139; 16.3 per cent). Frequency of error types by grade level has been provided. Findings from the hierarchical regression analyses indicate that students’ performance differences emerged as a function of error types which indicated students’ types of difficulties. Research limitations/implications There are several limitations of this study: the use of a convenient sample; all schools were located in the northern region of Portugal; the limited number of problems; and the time of the year of assessment. Practical implications Students’ errors suggested that their performance in calculation tasks is related to conceptual and procedural knowledge and skills. Error analysis allows teachers to better understand the individual performance of a diverse group and to tailor instruction to ensure that all students have an opportunity to succeed in mathematics. Social implications Error analysis helps teachers uncover individual students’ difficulties and deliver meaningful instruction to all students. Originality/value This paper adds to the international literature on error analysis and reinforces its value in diagnosing students’ type and severity of math difficulties. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-01-01T00:00:00Z 2018 2022-01-24T11:25:24Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://doi.org/10.1108/JME-01-2017-0002 http://hdl.handle.net/10437/12500 |
url |
https://doi.org/10.1108/JME-01-2017-0002 http://hdl.handle.net/10437/12500 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/embargoedAccess |
eu_rights_str_mv |
embargoedAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Emerald |
publisher.none.fl_str_mv |
Emerald |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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