Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental

Detalhes bibliográficos
Autor(a) principal: Brittes, Eduardo Castro
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFRRJ
Texto Completo: https://tede.ufrrj.br/jspui/handle/jspui/1578
Resumo: In one of the public networks of teaching in which the author acts as a teacher, many students arrive at the beginning of the second segment of the elementary school without mastering the four basic arithmetic operations and, specifically, with many difficulties in multiplication and division of natural numbers. There is also the little interest of several of them for mathematical content in General. Considering this reality, noted a need to seek innovations, finding ways to stimulate this learning curriculum component. Over the years, researched some methods and algorithms to multiply and divide natural numbers. Testing several of them over the years, the classroom experience pointed out the Lattice and the Long Division with Estimation as potentially motivating algorithms for arithmetic operations, by format and for simplicity. The aim of this work was to carry out an action research in a class of sixth grade of elementary school, involving the use of these two algorithms, evaluating motivational aspects and learning during the trial. Initially, were applied in that class a test to evaluate the motivation for studying mathematics and a pre-test, where if asked to solve simple issues of multiplication and division of natural numbers, the way each student wanted. After this step, some activities were carried out, using the above algorithms. Finally, we conducted a post-test and was reapplied the test of motivation, which granted the necessary data to the conclusions of the research. The resemblance to the traditional "Tic-Tac-Toe", the Lattice was introduced as a handmade board game, which stimulated competition and generated a lot of interest in most. The long division with estimation already used in most movements, the subtraction, what is a content well assimilated by students in this age group and educational level, since, typically, these students have a better development of thought. So I received a lot of attention from students, who have improved their concepts of orders (units, tens, hundreds), to better carry out the algorithm. Based on the questionnaire assessed the motivation to study mathematics, it was possible to observe not only the improvement of the interest in the various activities involving Mathematical content, but also an increase of confidence and credibility in the relationship between teacher x student. The approach has yielded satisfactory results. This kind of experience can leave as a legacy to students for the abandonment of the initial bad impression you might have regarding the arithmetic and, often, removing the fear and disgust in having to do the math, replacing this feeling of security generated by the domain in a differentiated way to solve problems that require multiplication and division. Moreover this experience can increase the ability of the students to absorb the multiplicative principle, paving the way for it to deepen the learning in this field of knowledge.
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spelling Barbosa, Aline Mauricio087.080.467-78Barbosa, Aline MauricioSantos, Douglas Mons?res de MeloEsquincalha, Agnaldo da Concei??o047.677.537-08http://lattes.cnpq.br/0865698700138810Brittes, Eduardo Castro2017-05-03T17:56:24Z2016-08-31BRITTES, E. C. Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental. 2016. 107 f. Disserta??o (Mestrado Profissional em Matem?tica em Rede Nacional). Instituto de Ci?ncias Exatas, Universidade Federal Rural do Rio de Janeiro, Serop?dica, RJ, 2016.https://tede.ufrrj.br/jspui/handle/jspui/1578In one of the public networks of teaching in which the author acts as a teacher, many students arrive at the beginning of the second segment of the elementary school without mastering the four basic arithmetic operations and, specifically, with many difficulties in multiplication and division of natural numbers. There is also the little interest of several of them for mathematical content in General. Considering this reality, noted a need to seek innovations, finding ways to stimulate this learning curriculum component. Over the years, researched some methods and algorithms to multiply and divide natural numbers. Testing several of them over the years, the classroom experience pointed out the Lattice and the Long Division with Estimation as potentially motivating algorithms for arithmetic operations, by format and for simplicity. The aim of this work was to carry out an action research in a class of sixth grade of elementary school, involving the use of these two algorithms, evaluating motivational aspects and learning during the trial. Initially, were applied in that class a test to evaluate the motivation for studying mathematics and a pre-test, where if asked to solve simple issues of multiplication and division of natural numbers, the way each student wanted. After this step, some activities were carried out, using the above algorithms. Finally, we conducted a post-test and was reapplied the test of motivation, which granted the necessary data to the conclusions of the research. The resemblance to the traditional "Tic-Tac-Toe", the Lattice was introduced as a handmade board game, which stimulated competition and generated a lot of interest in most. The long division with estimation already used in most movements, the subtraction, what is a content well assimilated by students in this age group and educational level, since, typically, these students have a better development of thought. So I received a lot of attention from students, who have improved their concepts of orders (units, tens, hundreds), to better carry out the algorithm. Based on the questionnaire assessed the motivation to study mathematics, it was possible to observe not only the improvement of the interest in the various activities involving Mathematical content, but also an increase of confidence and credibility in the relationship between teacher x student. The approach has yielded satisfactory results. This kind of experience can leave as a legacy to students for the abandonment of the initial bad impression you might have regarding the arithmetic and, often, removing the fear and disgust in having to do the math, replacing this feeling of security generated by the domain in a differentiated way to solve problems that require multiplication and division. Moreover this experience can increase the ability of the students to absorb the multiplicative principle, paving the way for it to deepen the learning in this field of knowledge.Em uma das redes p?blicas de ensino em que o autor atua como professor, v?rios alunos chegam ao in?cio do segundo segmento do Ensino Fundamental sem dominar as quatro opera??es aritm?ticas b?sicas e, especificamente, com muitas dificuldades na multiplica??o e na divis?o de n?meros naturais. Verifica-se tamb?m o pouco interesse de v?rios deles por conte?dos de matem?tica de uma forma geral. Considerando essa realidade, notou-se uma necessidade de buscar inova??es, encontrando formas de estimular a aprendizagem deste componente curricular. Ao longo dos anos, pesquisaram-se alguns m?todos e algoritmos para multiplicar e para dividir n?meros naturais. Testando v?rios deles ao longo dos anos, a experi?ncia em sala de aula apontou a Gelosia e a Divis?o Americana como algoritmos potencialmente motivadores para o ensino de opera??es aritm?ticas, pelo formato e pela simplicidade. O objetivo deste trabalho foi realizar uma pesquisa-a??o numa turma do sexto ano do Ensino Fundamental, envolvendo o uso desses dois algoritmos, avaliando aspectos motivacionais e de aprendizagem durante a experi?ncia. Inicialmente, foram aplicados nessa turma um teste para avaliar a motiva??o para estudar matem?tica e um pr?-teste, onde se pedia para resolver quest?es simples de multiplica??o e divis?o de n?meros naturais, da forma como cada aluno desejasse. Depois dessa etapa, foram realizadas algumas atividades, usando os algoritmos supracitados. Finalmente, foi realizado um p?s-teste e foi reaplicado o teste de motiva??o, que concedeu os dados necess?rios para as conclus?es da pesquisa. Pela semelhan?a com o tradicional "Jogo da Velha", a Gelosia foi introduzida como um jogo de tabuleiro artesanal, o que estimulou a competi??o e gerou muito interesse na maioria. J? a divis?o americana usou, na maioria dos movimentos, a subtra??o, que ? um conte?do bem assimilado por alunos nesta faixa et?ria e de escolaridade, uma vez que, normalmente, esses alunos possuem um melhor desenvolvimento do pensamento aditivo. Por isso recebeu muita aten??o dos alunos, que aprimoraram seus conceitos de ordens (unidade, dezena, centena), para melhor desempenhar o algoritmo. Baseado no question?rio que avaliou a motiva??o para estudar Matem?tica, foi poss?vel n?o s? observar a melhora do interesse pelas diversas atividades que envolvem o conte?do de Matem?tica, como tamb?m um aumento de confian?a e credibilidade na rela??o professor x aluno. A abordagem rendeu resultados satisfat?rios. Esse tipo de experi?ncia pode deixar como legado para os alunos o abandono da impress?o inicial ruim que poderiam ter em rela??o ? Aritm?tica e, por muitas vezes, retirando o medo e repulsa em ter que fazer contas, substituindo este sentimento pela seguran?a gerada pelo dom?nio de uma forma diferenciada de resolver problemas que exigem multiplica??o e divis?o. Al?m disso, tal experi?ncia pode aumentar a capacidade dos alunos em absorver o princ?pio multiplicativo, abrindo caminho para que se aprofunde a aprendizagem neste campo de conhecimento.Submitted by Jorge Silva (jorgelmsilva@ufrrj.br) on 2017-05-03T17:56:24Z No. of bitstreams: 1 2016 - Eduardo Castro Brittes.pdf: 1568575 bytes, checksum: f11844cc4540daf8a36fe1a5dca0c9c6 (MD5)Made available in DSpace on 2017-05-03T17:56:24Z (GMT). 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dc.title.por.fl_str_mv Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
dc.title.alternative.eng.fl_str_mv Lattice Multiplication and Long Division with Estimation: a motivating experience with these underused algorithms in elementary school in Brazil
title Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
spellingShingle Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
Brittes, Eduardo Castro
lattice multiplication
long division with estimation
motivation
elementary school
multiplica??o por gelosia
divis?o americana
motiva??o
ensino fundamental
Matem?tica
title_short Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
title_full Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
title_fullStr Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
title_full_unstemmed Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
title_sort Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental
author Brittes, Eduardo Castro
author_facet Brittes, Eduardo Castro
author_role author
dc.contributor.advisor1.fl_str_mv Barbosa, Aline Mauricio
dc.contributor.advisor1ID.fl_str_mv 087.080.467-78
dc.contributor.referee1.fl_str_mv Barbosa, Aline Mauricio
dc.contributor.referee2.fl_str_mv Santos, Douglas Mons?res de Melo
dc.contributor.referee3.fl_str_mv Esquincalha, Agnaldo da Concei??o
dc.contributor.authorID.fl_str_mv 047.677.537-08
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0865698700138810
dc.contributor.author.fl_str_mv Brittes, Eduardo Castro
contributor_str_mv Barbosa, Aline Mauricio
Barbosa, Aline Mauricio
Santos, Douglas Mons?res de Melo
Esquincalha, Agnaldo da Concei??o
dc.subject.eng.fl_str_mv lattice multiplication
long division with estimation
motivation
elementary school
topic lattice multiplication
long division with estimation
motivation
elementary school
multiplica??o por gelosia
divis?o americana
motiva??o
ensino fundamental
Matem?tica
dc.subject.por.fl_str_mv multiplica??o por gelosia
divis?o americana
motiva??o
ensino fundamental
dc.subject.cnpq.fl_str_mv Matem?tica
description In one of the public networks of teaching in which the author acts as a teacher, many students arrive at the beginning of the second segment of the elementary school without mastering the four basic arithmetic operations and, specifically, with many difficulties in multiplication and division of natural numbers. There is also the little interest of several of them for mathematical content in General. Considering this reality, noted a need to seek innovations, finding ways to stimulate this learning curriculum component. Over the years, researched some methods and algorithms to multiply and divide natural numbers. Testing several of them over the years, the classroom experience pointed out the Lattice and the Long Division with Estimation as potentially motivating algorithms for arithmetic operations, by format and for simplicity. The aim of this work was to carry out an action research in a class of sixth grade of elementary school, involving the use of these two algorithms, evaluating motivational aspects and learning during the trial. Initially, were applied in that class a test to evaluate the motivation for studying mathematics and a pre-test, where if asked to solve simple issues of multiplication and division of natural numbers, the way each student wanted. After this step, some activities were carried out, using the above algorithms. Finally, we conducted a post-test and was reapplied the test of motivation, which granted the necessary data to the conclusions of the research. The resemblance to the traditional "Tic-Tac-Toe", the Lattice was introduced as a handmade board game, which stimulated competition and generated a lot of interest in most. The long division with estimation already used in most movements, the subtraction, what is a content well assimilated by students in this age group and educational level, since, typically, these students have a better development of thought. So I received a lot of attention from students, who have improved their concepts of orders (units, tens, hundreds), to better carry out the algorithm. Based on the questionnaire assessed the motivation to study mathematics, it was possible to observe not only the improvement of the interest in the various activities involving Mathematical content, but also an increase of confidence and credibility in the relationship between teacher x student. The approach has yielded satisfactory results. This kind of experience can leave as a legacy to students for the abandonment of the initial bad impression you might have regarding the arithmetic and, often, removing the fear and disgust in having to do the math, replacing this feeling of security generated by the domain in a differentiated way to solve problems that require multiplication and division. Moreover this experience can increase the ability of the students to absorb the multiplicative principle, paving the way for it to deepen the learning in this field of knowledge.
publishDate 2016
dc.date.issued.fl_str_mv 2016-08-31
dc.date.accessioned.fl_str_mv 2017-05-03T17:56:24Z
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dc.identifier.uri.fl_str_mv https://tede.ufrrj.br/jspui/handle/jspui/1578
identifier_str_mv BRITTES, E. C. Gelosia e Divis?o Americana: uma experi?ncia motivadora com esses algoritmos operat?rios pouco explorados no ensino fundamental. 2016. 107 f. Disserta??o (Mestrado Profissional em Matem?tica em Rede Nacional). Instituto de Ci?ncias Exatas, Universidade Federal Rural do Rio de Janeiro, Serop?dica, RJ, 2016.
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dc.publisher.program.fl_str_mv Programa de P?s-Gradua??o em Matem?tica em Rede Nacional
dc.publisher.initials.fl_str_mv UFRRJ
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Ci?ncias Exatas
publisher.none.fl_str_mv Universidade Federal Rural do Rio de Janeiro
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repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações da UFRRJ - Universidade Federal Rural do Rio de Janeiro (UFRRJ)
repository.mail.fl_str_mv bibliot@ufrrj.br||bibliot@ufrrj.br
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