Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental

Detalhes bibliográficos
Autor(a) principal: Souza, Danilo do Carmo de
Data de Publicação: 2019
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da Universidade Federal do Ceará (UFC)
Texto Completo: http://www.repositorio.ufc.br/handle/riufc/52833
Resumo: The treatment of information and the concepts inherent to Statistics are important conceptual components for the formation of citizens, since daily we are surrounded by data and facts that need to be understood. On the other hand, recent evaluations of the Basic Education Assessment System (SAEB), the International Student Assessment Program (PISA) and the National Institute of Functional Literacy (INAF) indicate the conceptual difficulties faced by students when interpreting information in graphs, tables and the mathematical concepts involved. Among the different statistical concepts, the perception of variability is essential, as one of the characteristics that differentiate Mathematics from Statistics is the uncertainty caused by the interpretation and intentionality of a research. Researches point out that this concept must be addressed even during the early years of elementary school from the manipulation of its various representations. Thus, a tool that allows such mobilizations are Digital Technologies (TD), especially Digital Educational Resources (RED), as they assist in carrying out exploratory activities, and diversify the representations of the objects under study, providing new ways of thinking and acting. This research has as its central question: what is the contribution of DT in the elaboration of the concept of variability by 9th grade students? And as a general objective: to investigate the contributions of DT in the elaboration of the concept of variability in students of the 9th grade of elementary school. To achieve the objective, a set of activities was carried out with a focus on variability with the use of a RED called Geogebra, in order to verify the use of this artifact in understanding the aforementioned concept. The intervention was applied in a public school in the city of Fortaleza, with 10 students from a 9th grade class of elementary school, divided into Control Group (GC) and Experimental Group (GE). The research was organized in three stages: application of pre-test, intervention with the use of RED, and later, a post-test. The data were analyzed in order to understand the students' performance before and after the activities, being made a quantitative analysis by means of the means by group, standard deviation and variation coefficient of the obtained grades. The results showed that, although the averages of the two groups increased, compared to the pre-test, the increase in the average of the experimental group was greater, with this group also showing a decrease in the standard deviation and the variation coefficient, resulting in a greater homogeneity of the data. In addition, there was an evolution and reframing of the strategies of students belonging to the GE, based on the activities developed during the intervention. In this sense, the application of RED allowed to experience practical experiences during the resolution of situations involving the development of statistical thinking, which made it possible to: visualize and simulate different representations (representation of different graphs, minimize the procedure of the algorithms for the calculation of summary measures , data collection and analysis); work with real situations and investigative contexts. Finally, the results of this dissertation point out strategies to better understand the learning of variability in view of its multiple representations, as well as, for the development of new digital or analog resources and activities.
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spelling Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamentalEducação EstatísticaNoções de variabilidade EstatísticaTecnologias DigitaisRecursos Educacionais DigitaisGeogebraThe treatment of information and the concepts inherent to Statistics are important conceptual components for the formation of citizens, since daily we are surrounded by data and facts that need to be understood. On the other hand, recent evaluations of the Basic Education Assessment System (SAEB), the International Student Assessment Program (PISA) and the National Institute of Functional Literacy (INAF) indicate the conceptual difficulties faced by students when interpreting information in graphs, tables and the mathematical concepts involved. Among the different statistical concepts, the perception of variability is essential, as one of the characteristics that differentiate Mathematics from Statistics is the uncertainty caused by the interpretation and intentionality of a research. Researches point out that this concept must be addressed even during the early years of elementary school from the manipulation of its various representations. Thus, a tool that allows such mobilizations are Digital Technologies (TD), especially Digital Educational Resources (RED), as they assist in carrying out exploratory activities, and diversify the representations of the objects under study, providing new ways of thinking and acting. This research has as its central question: what is the contribution of DT in the elaboration of the concept of variability by 9th grade students? And as a general objective: to investigate the contributions of DT in the elaboration of the concept of variability in students of the 9th grade of elementary school. To achieve the objective, a set of activities was carried out with a focus on variability with the use of a RED called Geogebra, in order to verify the use of this artifact in understanding the aforementioned concept. The intervention was applied in a public school in the city of Fortaleza, with 10 students from a 9th grade class of elementary school, divided into Control Group (GC) and Experimental Group (GE). The research was organized in three stages: application of pre-test, intervention with the use of RED, and later, a post-test. The data were analyzed in order to understand the students' performance before and after the activities, being made a quantitative analysis by means of the means by group, standard deviation and variation coefficient of the obtained grades. The results showed that, although the averages of the two groups increased, compared to the pre-test, the increase in the average of the experimental group was greater, with this group also showing a decrease in the standard deviation and the variation coefficient, resulting in a greater homogeneity of the data. In addition, there was an evolution and reframing of the strategies of students belonging to the GE, based on the activities developed during the intervention. In this sense, the application of RED allowed to experience practical experiences during the resolution of situations involving the development of statistical thinking, which made it possible to: visualize and simulate different representations (representation of different graphs, minimize the procedure of the algorithms for the calculation of summary measures , data collection and analysis); work with real situations and investigative contexts. Finally, the results of this dissertation point out strategies to better understand the learning of variability in view of its multiple representations, as well as, for the development of new digital or analog resources and activities.O tratamento da informação e os conceitos inerentes à Estatística são componentes conceituais importantes para a formação cidadã, já que diariamente somos cercados de dados e fatos que precisam ser compreendidos. Por outro lado, avaliações recentes do Sistema de Avaliação da Educação Básica (SAEB), do Programa de Internacional de Avaliação de Alunos (PISA) e do Instituto Nacional de Alfabetismo Funcional (INAF) indicam as dificuldades conceituais enfrentadas por estudantes ao interpretar informações em gráficos, tabelas e os conceitos matemáticos envolvidos. Dentre os diferentes conceitos estatísticos é essencial a percepção da variabilidade, pois uma das características que diferenciam a Matemática da Estatística é a incerteza provocada pela interpretação e intencionalidade de uma pesquisa. Pesquisas apontam que este conceito deve ser abordado ainda durante os anos iniciais do Ensino Fundamental a partir da manipulação de suas variadas representações. Dessa forma, uma ferramenta que oportuniza tais mobilizações são as Tecnologias Digitais (TD), em especial dos Recursos Educacionais Digitais (RED), pois auxiliam na realização de atividades exploratórias, e diversificam as representações dos objetos em estudo propiciando novas formas de pensar e agir. Essa pesquisa tem como questão central: qual a contribuição das TD na elaboração do conceito de variabilidade por estudantes do 9º ano do Ensino Fundamental? E como objetivo geral: investigar as contribuições das TD na elaboração do conceito de variabilidade em estudantes do 9º ano do Ensino Fundamental. Para o alcance do objetivo, realizou-se um conjunto de atividades com foco na variabilidade com a utilização de um RED denominado Geogebra, a fim de verificar o uso deste artefato na compreensão do conceito supracitado. A intervenção foi aplicada em uma escola pública no município de Fortaleza, com 10 alunos de uma turma do 9º ano do Ensino Fundamental, dividida em Grupo Controle (GC) e Grupo Experimental (GE). A pesquisa foi organizada em três etapas: aplicação de pré-teste, intervenção com o uso do RED, e posteriormente um pós-teste. Os dados foram analisados a fim de compreender o desempenho dos alunos antes e após as atividades, sendo feita uma análise quantitativa por meio das médias por grupo, desvio-padrão e coeficiente de variação das notas obtidas. Os resultados demonstraram que, embora as médias dos dois grupos tenham aumentado, em comparação ao pré-teste, o aumento da média do grupo experimental foi maior, tendo este grupo também apresentado diminuição do desvio-padrão e do coeficiente de variação, acarretando em maior homogeneidade dos dados. Ademais, verificou-se evolução e ressignificação das estratégias dos alunos pertencentes ao GE, tomando como base as atividades desenvolvidas durante a intervenção. Nesse sentido, a aplicação do RED permitiu vivenciar experiências práticas durante a resolução de situações envolvendo o desenvolvimento do pensamento Estatístico, o qual possibilitou: visualizar e simular diferentes representações (representação de diferentes gráficos, minimizar o procedimento dos algoritmos para o cálculo das medidas-resumo, coleta e análise de dados); trabalhar com situações reais e com contextos investigativos. Por fim, os resultados desta dissertação apontam estratégias para melhor compreender a aprendizagem da variabilidade frente a suas múltiplas representações, bem com, para o desenvolvimento de novos recursos digitais ou analógicos e atividades.Filho, José Aires de CastroCastro, Juscileide Braga deSouza, Danilo do Carmo de2020-07-08T12:38:31Z2020-07-08T12:38:31Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfSOUZA, Danilo do Carmo de. Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental. 2019. 116f. - Dissertação (Mestrado) - Universidade Federal do Ceará, Programa de Pós-graduação em Educação, Fortaleza (CE), 2019.http://www.repositorio.ufc.br/handle/riufc/52833porreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccess2020-07-08T12:38:31Zoai:repositorio.ufc.br:riufc/52833Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2020-07-08T12:38:31Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.none.fl_str_mv Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
title Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
spellingShingle Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
Souza, Danilo do Carmo de
Educação Estatística
Noções de variabilidade Estatística
Tecnologias Digitais
Recursos Educacionais Digitais
Geogebra
title_short Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
title_full Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
title_fullStr Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
title_full_unstemmed Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
title_sort Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental
author Souza, Danilo do Carmo de
author_facet Souza, Danilo do Carmo de
author_role author
dc.contributor.none.fl_str_mv Filho, José Aires de Castro
Castro, Juscileide Braga de
dc.contributor.author.fl_str_mv Souza, Danilo do Carmo de
dc.subject.por.fl_str_mv Educação Estatística
Noções de variabilidade Estatística
Tecnologias Digitais
Recursos Educacionais Digitais
Geogebra
topic Educação Estatística
Noções de variabilidade Estatística
Tecnologias Digitais
Recursos Educacionais Digitais
Geogebra
description The treatment of information and the concepts inherent to Statistics are important conceptual components for the formation of citizens, since daily we are surrounded by data and facts that need to be understood. On the other hand, recent evaluations of the Basic Education Assessment System (SAEB), the International Student Assessment Program (PISA) and the National Institute of Functional Literacy (INAF) indicate the conceptual difficulties faced by students when interpreting information in graphs, tables and the mathematical concepts involved. Among the different statistical concepts, the perception of variability is essential, as one of the characteristics that differentiate Mathematics from Statistics is the uncertainty caused by the interpretation and intentionality of a research. Researches point out that this concept must be addressed even during the early years of elementary school from the manipulation of its various representations. Thus, a tool that allows such mobilizations are Digital Technologies (TD), especially Digital Educational Resources (RED), as they assist in carrying out exploratory activities, and diversify the representations of the objects under study, providing new ways of thinking and acting. This research has as its central question: what is the contribution of DT in the elaboration of the concept of variability by 9th grade students? And as a general objective: to investigate the contributions of DT in the elaboration of the concept of variability in students of the 9th grade of elementary school. To achieve the objective, a set of activities was carried out with a focus on variability with the use of a RED called Geogebra, in order to verify the use of this artifact in understanding the aforementioned concept. The intervention was applied in a public school in the city of Fortaleza, with 10 students from a 9th grade class of elementary school, divided into Control Group (GC) and Experimental Group (GE). The research was organized in three stages: application of pre-test, intervention with the use of RED, and later, a post-test. The data were analyzed in order to understand the students' performance before and after the activities, being made a quantitative analysis by means of the means by group, standard deviation and variation coefficient of the obtained grades. The results showed that, although the averages of the two groups increased, compared to the pre-test, the increase in the average of the experimental group was greater, with this group also showing a decrease in the standard deviation and the variation coefficient, resulting in a greater homogeneity of the data. In addition, there was an evolution and reframing of the strategies of students belonging to the GE, based on the activities developed during the intervention. In this sense, the application of RED allowed to experience practical experiences during the resolution of situations involving the development of statistical thinking, which made it possible to: visualize and simulate different representations (representation of different graphs, minimize the procedure of the algorithms for the calculation of summary measures , data collection and analysis); work with real situations and investigative contexts. Finally, the results of this dissertation point out strategies to better understand the learning of variability in view of its multiple representations, as well as, for the development of new digital or analog resources and activities.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020-07-08T12:38:31Z
2020-07-08T12:38:31Z
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dc.identifier.uri.fl_str_mv SOUZA, Danilo do Carmo de. Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental. 2019. 116f. - Dissertação (Mestrado) - Universidade Federal do Ceará, Programa de Pós-graduação em Educação, Fortaleza (CE), 2019.
http://www.repositorio.ufc.br/handle/riufc/52833
identifier_str_mv SOUZA, Danilo do Carmo de. Tecnologias digitais e a aprendizagem de conceitos estatísticos: a utilização do software geogebra por estudantes do 9º ano do ensino fundamental. 2019. 116f. - Dissertação (Mestrado) - Universidade Federal do Ceará, Programa de Pós-graduação em Educação, Fortaleza (CE), 2019.
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