STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS

Detalhes bibliográficos
Autor(a) principal: Bariccatti, Karen Hyelmager Gongora
Data de Publicação: 2012
Outros Autores: Brenelli, Rosely Palermo
Tipo de documento: Artigo
Idioma: por
Título da fonte: Teoria e Prática da Educação (Online)
Texto Completo: https://periodicos.uem.br/ojs/index.php/TeorPratEduc/article/view/18489
Resumo: This research examined the strategies for solving mental arithmetic additions and subtractions in students who attended the third and fifth grade on. Furthermore, based on constructivism of Jean Piaget identified levels of construction of the arithmetic operations, in situations involving equalization of quantities and construction of differences (interdependencies between additions and subtractions), which allowed then to examine relationships between the strategies of resolution calculations and levels of construction of the arithmetic operations. The participants in this study were students from state and municipal schools of the city of Toledo-PR, totaling twenty students from third grade and twenty fifth graders. After a qualitative and quantitative data, we could say the correlation between the resolution of mental calculations and levels of construction operations of addition and subtraction. Thus, students who had higher levels of test Piaget, achieved a better score in the resolutions and the use of more elaborate strategies. These results were identified as independent of the number of students and dependents of cognitive levels. Ends with the educational implications of the study that seeks to rescue the importance of mental calculation, a fact not sufficiently appreciated in the curricular proposals in western Paraná.
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spelling STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONSESTRATÉGIAS DE RESOLUÇÃO DE CÁLCULOS MENTAIS E OS NÍVEIS DE CONSTRUÇÃO DAS OPERAÇÕES ARITMÉTICASMental calculationConstructivismAdditionSubtractionCálculo mentalConstrutivismoAdiçãoSubtraçãoThis research examined the strategies for solving mental arithmetic additions and subtractions in students who attended the third and fifth grade on. Furthermore, based on constructivism of Jean Piaget identified levels of construction of the arithmetic operations, in situations involving equalization of quantities and construction of differences (interdependencies between additions and subtractions), which allowed then to examine relationships between the strategies of resolution calculations and levels of construction of the arithmetic operations. The participants in this study were students from state and municipal schools of the city of Toledo-PR, totaling twenty students from third grade and twenty fifth graders. After a qualitative and quantitative data, we could say the correlation between the resolution of mental calculations and levels of construction operations of addition and subtraction. Thus, students who had higher levels of test Piaget, achieved a better score in the resolutions and the use of more elaborate strategies. These results were identified as independent of the number of students and dependents of cognitive levels. Ends with the educational implications of the study that seeks to rescue the importance of mental calculation, a fact not sufficiently appreciated in the curricular proposals in western Paraná.A presente pesquisa analisou as estratégias de resolução de cálculos mentais de adições e de subtrações, em estudantes que cursavam a terceira e a quinta série do Ensino Fundamental. Além disso, fundamentada no construtivismo de Jean  Piaget, identificou níveis de construção das operações aritméticas, em situações que envolviam igualação de quantidades e construção de diferenças (interdependências entre adições e subtrações), o que possibilitou, então, verificar as relações entre as estratégias de resolução de cálculos e os níveis de construção das operações aritméticas. Os participantes desta pesquisa foram estudantes de escolas municipais e estaduais da cidade de Toledo-PR, totalizando vinte alunos da terceira série e vinte alunos da quinta série. Após a análise qualitativa e quantitativa dos dados, pode-se afirmar a correlação entre a resolução dos cálculos mentais e os níveis de construção das operações de adição e subtração. Assim, os estudantes que apresentaram níveis mais avançados nas provas piagetianas, alcançaram mais acertos nas resoluções e o uso de estratégias mais elaboradas. Tais resultados foram identificados como independentes da série dos estudantes e dependentes dos níveis cognitivos. Finaliza-se com as implicações educacionais do estudo que visa resgatar a importância do cálculo mental, fato pouco considerado em propostas curriculares do oeste do Paraná.Universidade Estadual de Maringá2012-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.uem.br/ojs/index.php/TeorPratEduc/article/view/1848910.4025/tpe.v14i3.18489Teoria e Prática da Educação; v. 14 n. 3 (2011); 67-762237-87071415-837Xreponame:Teoria e Prática da Educação (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMporhttps://periodicos.uem.br/ojs/index.php/TeorPratEduc/article/view/18489/9643Bariccatti, Karen Hyelmager GongoraBrenelli, Rosely Palermoinfo:eu-repo/semantics/openAccess2023-01-12T13:53:59Zoai:periodicos.uem.br/ojs:article/18489Revistahttps://periodicos.uem.br/ojs/index.php/TeorPratEducPUBhttps://periodicos.uem.br/ojs/index.php/TeorPratEduc/oaiteoriaepraticadaeducacao@gmail.com || teoriaepraticadaeducacao@gmail.com2237-87071415-837xopendoar:2023-01-12T10:59:24.832789Teoria e Prática da Educação (Online) - Universidade Estadual de Maringá (UEM)true
dc.title.none.fl_str_mv STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
ESTRATÉGIAS DE RESOLUÇÃO DE CÁLCULOS MENTAIS E OS NÍVEIS DE CONSTRUÇÃO DAS OPERAÇÕES ARITMÉTICAS
title STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
spellingShingle STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
Bariccatti, Karen Hyelmager Gongora
Mental calculation
Constructivism
Addition
Subtraction
Cálculo mental
Construtivismo
Adição
Subtração
title_short STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
title_full STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
title_fullStr STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
title_full_unstemmed STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
title_sort STRATEGIES FOR RESOLUTION OF MENTAL CALCULATIONS AND LEVELS CONSTRUCTION ARITHMETIC OPERATIONS
author Bariccatti, Karen Hyelmager Gongora
author_facet Bariccatti, Karen Hyelmager Gongora
Brenelli, Rosely Palermo
author_role author
author2 Brenelli, Rosely Palermo
author2_role author
dc.contributor.author.fl_str_mv Bariccatti, Karen Hyelmager Gongora
Brenelli, Rosely Palermo
dc.subject.por.fl_str_mv Mental calculation
Constructivism
Addition
Subtraction
Cálculo mental
Construtivismo
Adição
Subtração
topic Mental calculation
Constructivism
Addition
Subtraction
Cálculo mental
Construtivismo
Adição
Subtração
description This research examined the strategies for solving mental arithmetic additions and subtractions in students who attended the third and fifth grade on. Furthermore, based on constructivism of Jean Piaget identified levels of construction of the arithmetic operations, in situations involving equalization of quantities and construction of differences (interdependencies between additions and subtractions), which allowed then to examine relationships between the strategies of resolution calculations and levels of construction of the arithmetic operations. The participants in this study were students from state and municipal schools of the city of Toledo-PR, totaling twenty students from third grade and twenty fifth graders. After a qualitative and quantitative data, we could say the correlation between the resolution of mental calculations and levels of construction operations of addition and subtraction. Thus, students who had higher levels of test Piaget, achieved a better score in the resolutions and the use of more elaborate strategies. These results were identified as independent of the number of students and dependents of cognitive levels. Ends with the educational implications of the study that seeks to rescue the importance of mental calculation, a fact not sufficiently appreciated in the curricular proposals in western Paraná.
publishDate 2012
dc.date.none.fl_str_mv 2012-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.uem.br/ojs/index.php/TeorPratEduc/article/view/18489
10.4025/tpe.v14i3.18489
url https://periodicos.uem.br/ojs/index.php/TeorPratEduc/article/view/18489
identifier_str_mv 10.4025/tpe.v14i3.18489
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.uem.br/ojs/index.php/TeorPratEduc/article/view/18489/9643
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 Universidade Estadual de Maringá
publisher.none.fl_str_mv Universidade Estadual de Maringá
dc.source.none.fl_str_mv Teoria e Prática da Educação; v. 14 n. 3 (2011); 67-76
2237-8707
1415-837X
reponame:Teoria e Prática da Educação (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Teoria e Prática da Educação (Online)
collection Teoria e Prática da Educação (Online)
repository.name.fl_str_mv Teoria e Prática da Educação (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv teoriaepraticadaeducacao@gmail.com || teoriaepraticadaeducacao@gmail.com
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