Cálculo mental e a produção do conhecimento matemático

This text presents the research developed with students of the 5th year of elementary school at a public school in the city of Taubaté-SP, involved in solving problems involving the Mental Calculation. The read authors show that the Mental Calculation is relevant for the production of mathematical knowledge as it favors the autonomy of students, making it the most critical. Official documents that guide educational practices, such as the Parâmetros Curriculares Nacionais also emphasize that working with mental arithmetic should be encouraged as it has the potential to encourage the production of mathematical knowledge by the student. In this research work Completion of course the tasks proposed to students, who constituted the fieldwork to production data, were designed, developed and analyzed in a phenomenological approach. The intention, the research was to understand the perception of students in the face of situations that encourage them to implement appropriate technical and mental calculation procedures. We analyze how students express and realize the strategies for mental calculation in the search for solution to problem situations

Uma Proposta de utilização de um software educacional para o ensino de poliedros

This paper presents an educational proposal to use an educational software for the teaching of mathematics, following in the conduct of activities, the main aspects of sociocultural theory of Vygotsky. For this, it chose the Poly educational software, with which were developed teaching and learning activities for the polyhedra content provided in the São Paulo State Mathematics curriculum for the 7th year of elementary school. The objectives of this pedagogical proposal are to stimulate situations of social interaction among students and between students and the teacher, using an educational software as a mediator instrument and present a different way of using digital technology in math classes, aiming production of mathematical knowledge

A visualização no ensino de geometria com o Geogebra 3D

This research presents an investigation about the relevance of visualization in teaching geometry. Our interest turns to analyzing the use of technology in teaching geometry, seeking to highlight their contribution to learning. The students of today - second decade of the 21st century - require that, each time more, the school move towards the integration of technologies for teaching since tablets, smartphone, netbook, notebook are items present on daily life of most students. Thereby, we investigate, taking the phenomenological orientation, the potential of educational software, especially the Geogebra 3D, directed at teaching math and favoring the work with the geometry viewing. At work we bring some theoretical considerations about the importance of viewing for the geometric learning and the use of technologies. We build an intervention proposal for the classroom of the 7th year of elementary school with tasks aimed at visual exploration and allow the teacher to work the concept of volume of geometric solids

Cálculo mental e a produção do conhecimento matemático

This text presents the research developed with students of the 5th year of elementary school at a public school in the city of Taubaté-SP, involved in solving problems involving the Mental Calculation. The read authors show that the Mental Calculation is relevant for the production of mathematical knowledge as it favors the autonomy of students, making it the most critical. Official documents that guide educational practices, such as the Parâmetros Curriculares Nacionais also emphasize that working with mental arithmetic should be encouraged as it has the potential to encourage the production of mathematical knowledge by the student. In this research work Completion of course the tasks proposed to students, who constituted the fieldwork to production data, were designed, developed and analyzed in a phenomenological approach. The intention, the research was to understand the perception of students in the face of situations that encourage them to implement appropriate technical and mental calculation procedures. We analyze how students express and realize the strategies for mental calculation in the search for solution to problem situations

Uma Proposta de utilização de um software educacional para o ensino de poliedros

This paper presents an educational proposal to use an educational software for the teaching of mathematics, following in the conduct of activities, the main aspects of sociocultural theory of Vygotsky. For this, it chose the Poly educational software, with which were developed teaching and learning activities for the polyhedra content provided in the São Paulo State Mathematics curriculum for the 7th year of elementary school. The objectives of this pedagogical proposal are to stimulate situations of social interaction among students and between students and the teacher, using an educational software as a mediator instrument and present a different way of using digital technology in math classes, aiming production of mathematical knowledge

A visualização no ensino de geometria com o Geogebra 3D

This research presents an investigation about the relevance of visualization in teaching geometry. Our interest turns to analyzing the use of technology in teaching geometry, seeking to highlight their contribution to learning. The students of today - second decade of the 21st century - require that, each time more, the school move towards the integration of technologies for teaching since tablets, smartphone, netbook, notebook are items present on daily life of most students. Thereby, we investigate, taking the phenomenological orientation, the potential of educational software, especially the Geogebra 3D, directed at teaching math and favoring the work with the geometry viewing. At work we bring some theoretical considerations about the importance of viewing for the geometric learning and the use of technologies. We build an intervention proposal for the classroom of the 7th year of elementary school with tasks aimed at visual exploration and allow the teacher to work the concept of volume of geometric solids

INTERVENÇÃO PSICOMOTORA LÚDICA EM CRIANÇAS COM DIFICULDADES DE APRENDIZAGEM

Este estudo investiga evidências da influência de uma intervenção psicomotora lúdica na construção do pensamento operatório concreto e desempenho neuromotor de alunos com dificuldade de aprendizagem da 2ª série do ensino fundamental, de escola pública do Estado de São Paulo. Utiliza-se de método experimental. Manipula a intervenção psicomotora lúdica, (Variável Independente-VI), com o objetivo de verificar a sua possível influência no desempenho cognitivo relativo a noções de Conservação, Classificação, Seriação e Aritmética, assim como no neuromotor relativo a Agilidade e Orientação Direita-Esquerda (Variáveis Dependentes - VDs) - totalizando 6 VDs. A amostra compõe-se por 18 escolares, na faixa etária de 7 a 11 anos, de ambos os sexos, organizados em dois grupos: experimental (N=9) e controle (N=9). O procedimento experimental desenvolve-se em 16 sessões, constando de três etapas. Aos dois grupos são aplicados, individualmente, pré-teste (1ª etapa) e pós-teste (3ª etapa), constando de duas sessões individuais em cada etapa, com a utilização dos seguintes instrumentos: Provas Operatórias de Piaget, teste Piaget-Head de Orientação Direita-Esquerda e subteste de Aritmética do teste de Desempenho Escolar de Stein, teste de Shuttle Run . A 2ª etapa, exclusiva do grupo experimental, consta da intervenção psicomotora lúdica, em 12 sessões grupais de 50 minutos cada. Utilizou-se da prova de Wilcoxon, para comparação dos resultados entre os grupos. Os resultados referentes às noções de Classificação ( p=0,010), Seriação (p=0,034), Aritmética (p=0,157) e Orientação Direita- Esquerda (p=0,007), indicam que ocorreu uma diferença significativa estatisticamente, considerando-se que os participantes apresentaram desempenho superior nos pós-testes. Nas demais provas, foi observado melhor desempenho nos dois grupos, o que, portanto, não pode ser atribuído à intervenção. Conclui-se que o objetivo do trabalho foi atingido, visto que o programa mostrou-se eficiente para desenvolver o pensamento operatório e o neuromotor em relação a Orientação Direita-Esquerda dos participantes.(AU)

INTERVENÇÃO PSICOMOTORA LÚDICA EM CRIANÇAS COM DIFICULDADES DE APRENDIZAGEM

Este estudo investiga evidências da influência de uma intervenção psicomotora lúdica na construção do pensamento operatório concreto e desempenho neuromotor de alunos com dificuldade de aprendizagem da 2ª série do ensino fundamental, de escola pública do Estado de São Paulo. Utiliza-se de método experimental. Manipula a intervenção psicomotora lúdica, (Variável Independente-VI), com o objetivo de verificar a sua possível influência no desempenho cognitivo relativo a noções de Conservação, Classificação, Seriação e Aritmética, assim como no neuromotor relativo a Agilidade e Orientação Direita-Esquerda (Variáveis Dependentes - VDs) - totalizando 6 VDs. A amostra compõe-se por 18 escolares, na faixa etária de 7 a 11 anos, de ambos os sexos, organizados em dois grupos: experimental (N=9) e controle (N=9). O procedimento experimental desenvolve-se em 16 sessões, constando de três etapas. Aos dois grupos são aplicados, individualmente, pré-teste (1ª etapa) e pós-teste (3ª etapa), constando de duas sessões individuais em cada etapa, com a utilização dos seguintes instrumentos: Provas Operatórias de Piaget, teste Piaget-Head de Orientação Direita-Esquerda e subteste de Aritmética do teste de Desempenho Escolar de Stein, teste de Shuttle Run . A 2ª etapa, exclusiva do grupo experimental, consta da intervenção psicomotora lúdica, em 12 sessões grupais de 50 minutos cada. Utilizou-se da prova de Wilcoxon, para comparação dos resultados entre os grupos. Os resultados referentes às noções de Classificação ( p=0,010), Seriação (p=0,034), Aritmética (p=0,157) e Orientação Direita- Esquerda (p=0,007), indicam que ocorreu uma diferença significativa estatisticamente, considerando-se que os participantes apresentaram desempenho superior nos pós-testes. Nas demais provas, foi observado melhor desempenho nos dois grupos, o que, portanto, não pode ser atribuído à intervenção. Conclui-se que o objetivo do trabalho foi atingido, visto que o programa mostrou-se eficiente para desenvolver o pensamento operatório e o neuromotor em relação a Orientação Direita-Esquerda dos participantes.(AU)

Geografia Escolar: crianças e infâncias no primeiro ano do ensino fundamental em Juiz de Fora (MG)

Esta pesquisa tem como objetivo compreender as vivências da Geografia Escolar pelas crianças no primeiro ano do Ensino Fundamental a partir do seu protagonismo. Inspirada em princípios qualitativos, tem na Etnografia sua base metodológica, enfocando especialmente o trabalho realizado em duas escolas públicas de Juiz de Fora (MG). Assim, busca aproximar-se dos significados que as crianças atribuem a este campo de saber nas práticas escolares, colocando-os em diálogo com alguns discursos adultos constituintes da Geografia Escolar. Tomando como referencial teórico os estudos da infância e, em especial, a Geografia da Infância, traz as vozes das crianças, sujeitos centrais no processo de antecipação do ingresso obrigatório no Ensino Fundamental para os seis anos de idade. Os achados da investigação foram organizados em três campos interpretativos que reorientam o olhar sobre a política de antecipação do ingresso obrigatório no Ensino Fundamental, bem como a Geografia Escolar com crianças.

INTERVENÇÃO PSICOMOTORA LÚDICA EM CRIANÇAS COM DIFICULDADES DE APRENDIZAGEM

Este estudo investiga evidências da influência de uma intervenção psicomotora lúdica na construção do pensamento operatório concreto e desempenho neuromotor de alunos com dificuldade de aprendizagem da 2ª série do ensino fundamental, de escola pública do Estado de São Paulo. Utiliza-se de método experimental. Manipula a intervenção psicomotora lúdica, (Variável Independente-VI), com o objetivo de verificar a sua possível influência no desempenho cognitivo relativo a noções de Conservação, Classificação, Seriação e Aritmética, assim como no neuromotor relativo a Agilidade e Orientação Direita-Esquerda (Variáveis Dependentes - VDs) - totalizando 6 VDs. A amostra compõe-se por 18 escolares, na faixa etária de 7 a 11 anos, de ambos os sexos, organizados em dois grupos: experimental (N=9) e controle (N=9). O procedimento experimental desenvolve-se em 16 sessões, constando de três etapas. Aos dois grupos são aplicados, individualmente, pré-teste (1ª etapa) e pós-teste (3ª etapa), constando de duas sessões individuais em cada etapa, com a utilização dos seguintes instrumentos: Provas Operatórias de Piaget, teste Piaget-Head de Orientação Direita-Esquerda e subteste de Aritmética do teste de Desempenho Escolar de Stein, teste de Shuttle Run . A 2ª etapa, exclusiva do grupo experimental, consta da intervenção psicomotora lúdica, em 12 sessões grupais de 50 minutos cada. Utilizou-se da prova de Wilcoxon, para comparação dos resultados entre os grupos. Os resultados referentes às noções de Classificação ( p=0,010), Seriação (p=0,034), Aritmética (p=0,157) e Orientação Direita- Esquerda (p=0,007), indicam que ocorreu uma diferença significativa estatisticamente, considerando-se que os participantes apresentaram desempenho superior nos pós-testes. Nas demais provas, foi observado melhor desempenho nos dois grupos, o que, portanto, não pode ser atribuído à intervenção. Conclui-se que o objetivo do trabalho foi atingido, visto que o programa mostrou-se eficiente para desenvolver o pensamento operatório e o neuromotor em relação a Orientação Direita-Esquerda dos participantes.(AU)

Açude do cais: uma proposta de aplicação de uma sequência de atividades didáticas em um contexto real

Currently it is expected that science education will enable a more comprehensive conception of the world and of the relationship between scientific knowledge, technology and society. Thus, we seek the science teaching attend around contexts related to science, technology and society (STS). According CTS approaches, the science education should promote learning in the scientific, technological and social fields, from experienced real contexts, generating motivation to students, offering them tools to work as scientifically literate citizens. For this, it becomes crucial to resort to innovative activities and the various methodologies and appropriate teaching materials, and there is a lack of this perspective in general basic education, which drives the practice of an STS approach. Therefore, the aim of this research is the production of an instructional sequence for the exploration of the theme: "The quality of the water in the municipality of Cuité-PB," according to focus CTS in the 2nd year of high school. The choice of this topic is due to the problem caused by the quality of water in this municipality, with the concern to address an issue that came to work the critical / reflective understanding of a real context, in order to sensitize students to the importance of scientific / technological knowledge. The selection criteria of STS subjects were also observed. In this research the materials were produced and applied by the teacher / researcher. For data collection we used the observation and analysis of student records. The results were encouraging in the sense of participation, motivation and skill acquisition. This research contributes to the teaching of science with a focus STS, as well as encourage the use of perspective in new contexts with real questioning

Elaboração de uma unidade de ensino potencialmente significativa em Química para abordar a temática água

The evidence of the water theme in news reports is configured as an important topic of interest to contextualize, problematize and/or generate meaning in the midst of discussion of a content from different levels of education and/or disciplines of basic education. The possibilities to use this theme in classroom is also highlighted in Brazilian official documents that guide the practice of teachers of all Brazilian curricular components of this educational level. So, the theme water can be used as subsidy to teach chemistry, since contextualises the teaching of this discipline aiding in the discussion of different chemical concepts. In this perspective, the meaningful learning theory, developed by David Ausubel, has constructivist nature and says that an individual learns significantly when he can relate new information with a specific knowledge structure that integrates the prior knowledge of its structure. In this sense, the use of water as a theme for the approach prior knowledge of chemical concepts has already been characterized as an important topic that can give meaning to the content of education in chemistry. In this dissertation, a teaching unit potentially significant (TUPS) is presented based on meaningful learning theory of David Ausubel approaching the theme water. approaching the theme water. The unit was used in a class of thirty-five students of the 2nd year of high school, a public school in the city of Extremoz-RN, metropolitan region of Natal / RN. Through it was possible to discuss an issue of interest to students of the school to address the chemical contents, such as solutions, physicochemical aspects and stages of water treatment. At first, an initial questionnaire was used to identify the students' previous ideas on the topic under study to the concept of chemical solutions. It was subsequently developed and implemented a series of activities based on students' ideas. To subsidize the sequence, it was prepared four booklets that worked the content of chemical solutions, contextualizing the theme water. The results of this work showed that the alternative conceptions that students have about concepts related to the chemical solutions are similar to the ideas of other students presented in the literature and that the development of the TUPS, allied to the contextualization strategy with the theme water, not only motivated the students for the teaching of chemical content, as yet provided the learning of chemical concepts not in isolation, but making a connection between their ideas and experiences with scientific knowledge. To this, beyond of dialogued lectures, were also used strategies as experimental activities, problem solving, group discussions and construction of concept maps. The final evaluation of the unit was conducted by a questionnaire based on the Likert scale, answered individually by students, who approved the unit as conducive to teaching and learning of chemistry process

História da matemática e teatro nas aulas sobre Teorema de Tales: um script proposto

This study will present the results of an investigation of how the history of mathematics and theater can contribute to the construction of mathematical knowledge of students in the 9th year of elementary school, through the experience, preparation and execution of a play, beyond presentation of the script. This brings a historical approach, defining space and time of events, putting the reader and viewer to do the route in the biography of Thales of Miletus (624-546 a.C), creating situations that led to the study and discussion of the content related to the episode possible to measure the height of the pyramid Khufu and the Theorem of Thales. That said, the pedagogical proposal implemented in this work was based on theoretical and methodological assumptions of the History of Mathematics and Theatre, drawing upon authors such as Mendes (2006), Miguel (1993), Gutierre (2010), Desgrandes (2011), Cabral (2012). Regarding the methodological procedures used qualitative research because it responds to particular issues, analyzing and interpreting the data generated in the research field. As methodological tools we have used participant observation, the questionnaire given to the students, field diary and dissertativos texts produced by students. The processing and analysis of data collected through the questionnaires were organized, classified and quantified in tables and graphs for easy viewing, interpretation, understanding and analysis of data. Data analysis corroborated our hypothesis and contributed to improving the use and display of the play as a motivating activity in mathematics classrooms. Thus, we consider that the script developed, ie the educational product proposed will bring significant contributions to the teaching of Mathematics in Primary Education

Da arenga ao debate: o aprimoramento da competência argumentativa por estudantes do ensino médio

In order to understand the factors involved in the improvement process of argumentative competence by students of 2nd year of high school, we undertook a qualitative approach research and interventional nature, during which we adopted the conduct of participant observation in a school belonging to the state schools of Rio Grande do Norte, located on the outskirts of the city of Natal. The analyzed corpus consisted in the interim intervention and entails the answers to a semi-structured questionnaire, fourteen opinion articles and three regrados debates, produced by the students, in addition to video recordings of ten sessions and personal notes pertaining to another six, totaling sixteen sessions observed during the school year 2014. As the most important bibliographical references we study skills and reasoning from the perspective of discursive social interactionism. Analyzing the data we loan the principle of categorization, opting for critical-descriptive presentation and were revealed to us, via the classified evidences, that among the factors involved in the study process, it appears with more relevance to set up an effective intellectual community, which meets in constant interaction subjects, which alternate assuming the conditions of speakers and audience. The constitution of this community depends largely on the teaching mediation and is indispensable to the (re)design of the studied competence, in interactions with her the subjects afforded learn and develop their competence, reshaping the limits of their zone of proximal development.

Da arenga ao debate: o aprimoramento da competência argumentativa por estudantes do ensino médio

In order to understand the factors involved in the improvement process of argumentative competence by students of 2nd year of high school, we undertook a qualitative approach research and interventional nature, during which we adopted the conduct of participant observation in a school belonging to the state schools of Rio Grande do Norte, located on the outskirts of the city of Natal. The analyzed corpus consisted in the interim intervention and entails the answers to a semi-structured questionnaire, fourteen opinion articles and three regrados debates, produced by the students, in addition to video recordings of ten sessions and personal notes pertaining to another six, totaling sixteen sessions observed during the school year 2014. As the most important bibliographical references we study skills and reasoning from the perspective of discursive social interactionism. Analyzing the data we loan the principle of categorization, opting for critical-descriptive presentation and were revealed to us, via the classified evidences, that among the factors involved in the study process, it appears with more relevance to set up an effective intellectual community, which meets in constant interaction subjects, which alternate assuming the conditions of speakers and audience. The constitution of this community depends largely on the teaching mediation and is indispensable to the (re)design of the studied competence, in interactions with her the subjects afforded learn and develop their competence, reshaping the limits of their zone of proximal development.