Teaching fractions - visiting the primary school classroom
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: | http://hdl.handle.net/1822/58616 |
Resumo: | The most recent guidelines for mathematics in basic education (6-10-years-old) in Portugal preconize an in-depth contact with fractions. These guidelines suggest the approach to quotient, part-whole, measure and operator interpretations of fractions. Thus, it seems pertinent to investigate whether the current teaching practices reflect those guidelines. The research presented here sought to answer the following questions: 1) What role do teachers give to the interpretations of fractions to introduce the concept of fraction to children? 2) How do teachers approach and articulate the different interpretations of fractions? 3) What difficulties do teachers reveal about these issues? A collaborative working program with four teachers was conducted comprising the observation of lessons. The present paper presents the results concerning one of the cases — teacher Inês (fictitious name). A qualitative analysis of the collected data suggests difficulties in selecting examples and introducing the meaning of the fraction when quotient interpretation is involved; difficulties in approaching the ordering and equivalence of fractions; no exploration of the reference unit; unsuitable emphasis on algebraic procedures when operator interpretation is involved. In-service teacher training should be regularly promoted in order to ensure greater convergence between curriculum and teaching practices and improve the quality of the latter. |
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Teaching fractions - visiting the primary school classroomEnsino de frações – visitando a sala de aula do ensino básicoTeaching of fractionsTeachers’ knowledgeCurricular guidelinesCiências Sociais::Ciências da EducaçãoThe most recent guidelines for mathematics in basic education (6-10-years-old) in Portugal preconize an in-depth contact with fractions. These guidelines suggest the approach to quotient, part-whole, measure and operator interpretations of fractions. Thus, it seems pertinent to investigate whether the current teaching practices reflect those guidelines. The research presented here sought to answer the following questions: 1) What role do teachers give to the interpretations of fractions to introduce the concept of fraction to children? 2) How do teachers approach and articulate the different interpretations of fractions? 3) What difficulties do teachers reveal about these issues? A collaborative working program with four teachers was conducted comprising the observation of lessons. The present paper presents the results concerning one of the cases — teacher Inês (fictitious name). A qualitative analysis of the collected data suggests difficulties in selecting examples and introducing the meaning of the fraction when quotient interpretation is involved; difficulties in approaching the ordering and equivalence of fractions; no exploration of the reference unit; unsuitable emphasis on algebraic procedures when operator interpretation is involved. In-service teacher training should be regularly promoted in order to ensure greater convergence between curriculum and teaching practices and improve the quality of the latter.Financial Support by CIEC (Research Centre on Child Studies, IE, UMinho; FCT R&D unit 317, Portugal) by the Strategic Project UID/CED/00317/2013, with financial support of National Funds through the FCT (Foundation for Science and Technology) and co-financed by European Regional Development Funds (FEDER) through the Competitiveness and Internationalization Operational Program (POCI) with the reference POCI-01-0145-FEDER-007562info:eu-repo/semantics/publishedVersionSociedade Brasileira de Educação MatemáticaUniversidade do MinhoCardoso, PaulaMamede, Ema20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/58616eng2238-0345info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T11:55:54Zoai:repositorium.sdum.uminho.pt:1822/58616Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:45:27.778259Repositório 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 |
Teaching fractions - visiting the primary school classroom Ensino de frações – visitando a sala de aula do ensino básico |
title |
Teaching fractions - visiting the primary school classroom |
spellingShingle |
Teaching fractions - visiting the primary school classroom Cardoso, Paula Teaching of fractions Teachers’ knowledge Curricular guidelines Ciências Sociais::Ciências da Educação |
title_short |
Teaching fractions - visiting the primary school classroom |
title_full |
Teaching fractions - visiting the primary school classroom |
title_fullStr |
Teaching fractions - visiting the primary school classroom |
title_full_unstemmed |
Teaching fractions - visiting the primary school classroom |
title_sort |
Teaching fractions - visiting the primary school classroom |
author |
Cardoso, Paula |
author_facet |
Cardoso, Paula Mamede, Ema |
author_role |
author |
author2 |
Mamede, Ema |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Cardoso, Paula Mamede, Ema |
dc.subject.por.fl_str_mv |
Teaching of fractions Teachers’ knowledge Curricular guidelines Ciências Sociais::Ciências da Educação |
topic |
Teaching of fractions Teachers’ knowledge Curricular guidelines Ciências Sociais::Ciências da Educação |
description |
The most recent guidelines for mathematics in basic education (6-10-years-old) in Portugal preconize an in-depth contact with fractions. These guidelines suggest the approach to quotient, part-whole, measure and operator interpretations of fractions. Thus, it seems pertinent to investigate whether the current teaching practices reflect those guidelines. The research presented here sought to answer the following questions: 1) What role do teachers give to the interpretations of fractions to introduce the concept of fraction to children? 2) How do teachers approach and articulate the different interpretations of fractions? 3) What difficulties do teachers reveal about these issues? A collaborative working program with four teachers was conducted comprising the observation of lessons. The present paper presents the results concerning one of the cases — teacher Inês (fictitious name). A qualitative analysis of the collected data suggests difficulties in selecting examples and introducing the meaning of the fraction when quotient interpretation is involved; difficulties in approaching the ordering and equivalence of fractions; no exploration of the reference unit; unsuitable emphasis on algebraic procedures when operator interpretation is involved. In-service teacher training should be regularly promoted in order to ensure greater convergence between curriculum and teaching practices and improve the quality of the latter. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018 2018-01-01T00:00:00Z |
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 |
http://hdl.handle.net/1822/58616 |
url |
http://hdl.handle.net/1822/58616 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2238-0345 |
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 |
Sociedade Brasileira de Educação Matemática |
publisher.none.fl_str_mv |
Sociedade Brasileira de Educação Matemática |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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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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1799132206830977024 |