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Enseignement-apprentissage d’une discipline linguistique et non-linguistique à l’école primaire : analyse de l'action conjointe professeurs-élèves dans des classes primaires bilingues en Thaïlande / Teaching and learning linguistic and non-linguistic subjects in primary education : analysing teachers and students’ joint action in primary bilingual classes in ThailandKewara, Punwalai 04 December 2012 (has links)
Notre thèse vise à étudier et caractériser les situations didactiques mises en oeuvre pour l’enseignement de l’anglais, une discipline linguistique, et des sciences, une discipline non-linguistique, dans des classes primaires bilingues en Thaïlande. Pour ce faire, nous étudions l’action conjointe de trois professeurs étrangers et d’une professeure thaïlandaise et de leurs élèves dans deux classes bilingues de Grade 6 (6ème). Les analyses des situations décrites dans notre thèse s’appuient sur des transcriptions extraites de trois séquences, soit trente cinq séances filmées dans les deux classesobservées. Pour mener ces analyses, nous nous appuyons sur un cadre théorique qui s’articule autour de notions empruntées à la Théorie de l’Action conjointe en Didactique et à la didactique des langues étrangères. Dans nos analyses de la pratique effective, nous étudions les séquences mises en oeuvre par les quatre professeurs à différents niveaux de grain d’analyse. Pour l'analyse à grain fin, nous avons retenu des situations semblables dans les deux classes afin de pouvoir établir des constats croisés sur les différences et similarités entre ces situations. A ce niveau de nos analyses, nous étudions plus particulièrement la façon dont les jeux d’apprentissage et l’équilibration contrat-milieu sont mis enoeuvre afin de permettre la construction du savoir en jeu par les élèves. A la fin de notre thèse, nous exposons les points communs et différences entre les professeurs étudiés et émettons des propositions pour l’enseignement d’une langue étrangère et l’enseignement de matières par l’intégration d’une langue étrangère et pour la formation des professeurs thaïs et étrangers / Our research aims to study and characterize didactic situations implemented to teach and learn English, as a foreign language, and Science, a non-linguistic subject, in primary classes in a bilingual stream in Thailand. To do so, we study the joint action of three English native speaker teachers and a Thai teacher and their Grade 6 students. The analyses of the situations described in our research are based on transcriptions extracted from six teaching units or thirty-five sessions filmed in the two observed classes. To conduct our analyses, we use a theoretical framework that brings together notionscoming from the Joint Action Theory in Didactics and the didactics of foreign languages. In our empirical study, we examine the teaching units implemented by the four teachers in two classes at different levels of analyses. For our fine-grained study, we have chosen similar didactic situations from the two classes so as to bring to light the differences and similarities in these situations. In our analyses, we study more particularly how the learning games and the contract-milieu equilibration are implemented in order to develop the students’ knowledge. Then, we describe the commonalities and differences between the four teachers. At the end of our thesis, we make propositions for language teaching and the teaching of other subjects through English and for the training of both Thai and foreign teachers
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Situations d'apprentissage et activités de conception en baccalauréat technologique "Design et Arts appliqués" : représentations et instruments / Learning situations and design activities in French design and applied arts curriculum : representations and instrumentsMontiès-Farsy, Sophie 04 December 2018 (has links)
Dans la formation du baccalauréat STD2A, il n’est pas question d’enseigner à des élèves la profession de designer, contrairement aux formations supérieures, mais de les préparer à intégrer ces formations. Son objectif est de donner plus des éléments de compréhension des démarches de conception qu’une compétence professionnelle de designer. La finalité de ce travail est de regarder comment l’activité de conception est enseignée au lycée. Le cadre théorique interroge les articulations entre activité, instrument, milieu, tâche et compétences et activité de conception. Le cadre de l’étude a été circonscrit à l’épreuve certificative « Projet en Design et AA » . La méthodologie s’appuie (1) sur une analyse a priori de la tâche prescrite par l’institution et redéfinie par des enseignants travaillant dans trois lycées différents, et (2) sur une analyse de l’activité d’un échantillon de leurs élèves. Les activités sont regardées à travers des entretiens menés avec les enseignants sur le dispositif qu’ils conçoivent, à travers des entretiens menés avec les élèves sur les tâches qu’ils ont réellement effectuées, et à travers les signes produits par les uns et les autres. Les résultats montrent d’une part, que l’activité d’apprentissage est instrumentée plus par les représentations différentes que les enseignants ont de la situation de référence prescrite que par leur représentation d’un état prescrit de compétence de conception. D’autre part, bien que l’activité de l’élève soit motivée par l’obtention du baccalauréat et non par la conception d’artefacts, il élabore des instruments sémiotiques et matériels propres à l’activité des étudiants qui apprennent à devenir designers. / The secondary school leaving certificate in Science and Technology: Design and Applied Arts prepares pupils to integrate postsecondary design programmes.The purpose of this study was to investigate how design activity is taught in secondary school. In an attempt to highlight the impact of the environment on the learning activity, the theoretical framework questions the relationship between activity, instrument, environment, task and skills, design activity.The study favoured an exploratory analysis based on the observation of real situations in an unambiguous and operational way. The scope of the study was limited to the certification exam “Project in D and AA”. The research design was empirical and based on (1) a priori analysis of the task prescribed by the institution and redefined by teachers belonging to three different high schools, and (2) an analysis of the activity of a sample of their pupils. Observation tools were based on the abstention from direct observation. The activities were viewed: through interviews conducted with teachers; through interviews conducted with pupils on the tasks they have actually accomplished; through the signs produced by teachers and pupils. The results show that the learning activity is instrumented to a greater extent by the different representations teachers have of the prescribed reference situation than by their representation of a prescribed state of design skills. In addition, although the pupil’s activity was motivated by the obtention of a school leaving certificate and not by the design of artefacts, the pupil develops semiotic and material instruments specific to the activity of students who train to become designers.
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Relação espaço-plano: uma intervenção pedagógica para o desenvolvimento do pensamento geométricoOliveira, Elaine de Almeida [UNESP] 28 March 2008 (has links) (PDF)
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oliveira_ea_me_prud.pdf: 893117 bytes, checksum: ee6586d3fcb3b60d93e9f76d7f65e703 (MD5) / Secretaria Estadual de Educação / Este trabalho, de natureza qualitativa, vinculado à linha de pesquisa “Práticas Educativas na Formação de Professores”, do Programa de Pós-graduação em Educação, da Faculdade de Ciências e Tecnologia – FCT/Unesp, Campus de Presidente Prudente, tem por objetivo investigar as vantagens e limites de uma proposta didática baseada em uma seqüência múltipla de situações de aprendizagem e como ela pode favorecer a aprendizagem significativa de conceitos geométricos envolvidos na relação espaçoplano. Para tanto, elaboramos, aplicamos e analisamos uma seqüência didática de situações de aprendizagem, que utilizou metodologia e recursos diferenciados, junto a trinta e dois alunos de uma 5a série do ensino fundamental da escola pública “EMEF Marechal do Ar Márcio de Souza e Mello”, da cidade de Álvares Machado – SP. Os pressupostos teóricos de Ausubel, Parsysz, Van Hiele e Duval alicerçam a fundamentação e a análise do trabalho. Antes de iniciarmos a intervenção pedagógica, aplicamos uma avaliação diagnóstica para identificarmos os conhecimentos prévios e as dificuldades dos alunos. A partir desse diagnóstico, planejamos e desenvolvemos nove situações de aprendizagem, vivenciadas ao longo de seis meses do ano de 2007, as quais empregaram recursos didáticos diversificados, dentre eles, o computador. Ao final, aplicamos novamente a avaliação, com o intuito de identificarmos os avanços em relação à compreensão de conceitos. Para melhor analisarmos o material coletado, dividimos os alunos em três grupos. A análise dos dados revelou que um grupo não apresentou avanços expressivos em relação ao domínio dos conceitos envolvidos por não conseguir se desvincular das situações concretas para abstrair delas regularidades quanto aos elementos e conceitos em jogo... / This is a qualitative study linked to the research line “Educative Practice on Teachers’ Formation”, from the Post Graduation Program in Education, of Science and Technology College (Faculdade de Ciências e Tecnologia – FCT/Unesp), Campus of Presidente Prudente. The present study has the objective of investigating the advantages and the limits of a didactic proposal based on a multiple sequence of learning situations and how it can support the significative learning of geometric concepts involved in the plane-space relationship. To do so, we elaborated, applied and analyzed a didactic sequence of learning situations that used different resources and methodology, with thirty two students from the 5th grade from a public school “EMEF Marechal do Ar Márcio de Souza e Mello”, from Álvares Machado – SP. We used the theoretical presupposes from Ausubel, Parsysz, Van Hiele and Duval that contributed to the base and the analysis of this study. Before we initiate the pedagogic intervention, we applied a diagnostic evaluation to identify the students’ previous knowledge as well as their possible difficulties. From this diagnostic we planed and developed nine learning situations, experimented during six months in 2007 and for what we used different didactic resources, as the computer, for example. Finally we applied the evaluation again to verify the students’ improvement about the concepts comprehension. To best analyze the collected data, we divided the students in three groups...
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Investigação sobre as contribuições da matemática para o desenvolvimento da educação financeira na escolaRaschen, Samuel Ricardo January 2016 (has links)
Esta dissertação se propõe a averiguar que contribuições a matemática pode oferecer para o desenvolvimento da Educação Financeira Escolar. Detalha as origens da discussão do assunto e seus desdobramentos no Brasil, analisando os trabalhos acadêmicos e a criação da ENEF (Estratégia Nacional de Educação Financeira). Destaca a expansão do movimento na América Latina e faz críticas aos conceitos de letramento financeiro concebidos pelo PISA (Programme for International Student Assessment) e ao entendimento de Educação Financeira incorporado pela ENEF, apresentando novas definições. Aborda a relação entre a Matemática Crítica, pensada por Ole Skovsmose, e a Educação Financeira. Aplica duas atividades em uma turma com 32 alunos do 2º ano do ensino médio e conclui, amparada na Teoria das Situações Didáticas de Guy Brousseau, que, além da matemática financeira, do conhecimento do plano cartesiano, das funções lineares e exponenciais, da álgebra e da proporção (incluindo porcentagem), são fundamentais a utilização de habilidades como a interpretação de gráficos e de tabelas, o pensamento abstrato e algébrico, a capacidade de percepção de relações numéricas e/ou algébricas em diferentes situações do cotidiano e a capacidade de transformar em argumento um resultado ou uma fórmula. / This dissertation proposes to find out contributions mathematics can offer to the development of School Financial Education. It details the origin of the subject discussion and its consequences in Brazil, analyzing the academic work and the history of the creation of ENEF (Brazilian Strategy for Financial Education). It points out the expansion of the movement in Latin America and criticizes the concepts of financial literacy conceived by PISA (Programme for International Student Assessment) and the understanding of Financial Education incorporated by ENEF, presenting new definitions. It deals with the relation between the Critical Mathematics, thought by Ole Skovsmose, and the Financial Education. It puts two activities into practice in a class with 32 students 2nd year high school and concludes, supported on Guy Brousseau’s Theory of Didactic Situation, that be sides financial mathematics, the knowledge of Cartesian plane, linear and exponential functions, algebra and proportion (including percentage), the use of skills such as graphs and tables interpretation, abstract and algebraic thinking, the ability to realize numerical and/or algebraic relation in different everyday situations and the capacity to transform in arguments a result or a formula are fundamental.
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Investigação sobre as contribuições da matemática para o desenvolvimento da educação financeira na escolaRaschen, Samuel Ricardo January 2016 (has links)
Esta dissertação se propõe a averiguar que contribuições a matemática pode oferecer para o desenvolvimento da Educação Financeira Escolar. Detalha as origens da discussão do assunto e seus desdobramentos no Brasil, analisando os trabalhos acadêmicos e a criação da ENEF (Estratégia Nacional de Educação Financeira). Destaca a expansão do movimento na América Latina e faz críticas aos conceitos de letramento financeiro concebidos pelo PISA (Programme for International Student Assessment) e ao entendimento de Educação Financeira incorporado pela ENEF, apresentando novas definições. Aborda a relação entre a Matemática Crítica, pensada por Ole Skovsmose, e a Educação Financeira. Aplica duas atividades em uma turma com 32 alunos do 2º ano do ensino médio e conclui, amparada na Teoria das Situações Didáticas de Guy Brousseau, que, além da matemática financeira, do conhecimento do plano cartesiano, das funções lineares e exponenciais, da álgebra e da proporção (incluindo porcentagem), são fundamentais a utilização de habilidades como a interpretação de gráficos e de tabelas, o pensamento abstrato e algébrico, a capacidade de percepção de relações numéricas e/ou algébricas em diferentes situações do cotidiano e a capacidade de transformar em argumento um resultado ou uma fórmula. / This dissertation proposes to find out contributions mathematics can offer to the development of School Financial Education. It details the origin of the subject discussion and its consequences in Brazil, analyzing the academic work and the history of the creation of ENEF (Brazilian Strategy for Financial Education). It points out the expansion of the movement in Latin America and criticizes the concepts of financial literacy conceived by PISA (Programme for International Student Assessment) and the understanding of Financial Education incorporated by ENEF, presenting new definitions. It deals with the relation between the Critical Mathematics, thought by Ole Skovsmose, and the Financial Education. It puts two activities into practice in a class with 32 students 2nd year high school and concludes, supported on Guy Brousseau’s Theory of Didactic Situation, that be sides financial mathematics, the knowledge of Cartesian plane, linear and exponential functions, algebra and proportion (including percentage), the use of skills such as graphs and tables interpretation, abstract and algebraic thinking, the ability to realize numerical and/or algebraic relation in different everyday situations and the capacity to transform in arguments a result or a formula are fundamental.
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Relação espaço-plano : uma intervenção pedagógica para o desenvolvimento do pensamento geométrico /Oliveira, Elaine de Almeida. January 2008 (has links)
Orientador: Maria Raquel Miotto Morelatti / Banca: Leny Rodrigues Teixeira / Banca: Saddo Ag Almouloud / Resumo: Este trabalho, de natureza qualitativa, vinculado à linha de pesquisa "Práticas Educativas na Formação de Professores", do Programa de Pós-graduação em Educação, da Faculdade de Ciências e Tecnologia - FCT/Unesp, Campus de Presidente Prudente, tem por objetivo investigar as vantagens e limites de uma proposta didática baseada em uma seqüência múltipla de situações de aprendizagem e como ela pode favorecer a aprendizagem significativa de conceitos geométricos envolvidos na relação espaçoplano. Para tanto, elaboramos, aplicamos e analisamos uma seqüência didática de situações de aprendizagem, que utilizou metodologia e recursos diferenciados, junto a trinta e dois alunos de uma 5a série do ensino fundamental da escola pública "EMEF Marechal do Ar Márcio de Souza e Mello", da cidade de Álvares Machado - SP. Os pressupostos teóricos de Ausubel, Parsysz, Van Hiele e Duval alicerçam a fundamentação e a análise do trabalho. Antes de iniciarmos a intervenção pedagógica, aplicamos uma avaliação diagnóstica para identificarmos os conhecimentos prévios e as dificuldades dos alunos. A partir desse diagnóstico, planejamos e desenvolvemos nove situações de aprendizagem, vivenciadas ao longo de seis meses do ano de 2007, as quais empregaram recursos didáticos diversificados, dentre eles, o computador. Ao final, aplicamos novamente a avaliação, com o intuito de identificarmos os avanços em relação à compreensão de conceitos. Para melhor analisarmos o material coletado, dividimos os alunos em três grupos. A análise dos dados revelou que um grupo não apresentou avanços expressivos em relação ao domínio dos conceitos envolvidos por não conseguir se desvincular das situações concretas para abstrair delas regularidades quanto aos elementos e conceitos em jogo... / Abstract: This is a qualitative study linked to the research line "Educative Practice on Teachers' Formation", from the Post Graduation Program in Education, of Science and Technology College (Faculdade de Ciências e Tecnologia - FCT/Unesp), Campus of Presidente Prudente. The present study has the objective of investigating the advantages and the limits of a didactic proposal based on a multiple sequence of learning situations and how it can support the significative learning of geometric concepts involved in the plane-space relationship. To do so, we elaborated, applied and analyzed a didactic sequence of learning situations that used different resources and methodology, with thirty two students from the 5th grade from a public school "EMEF Marechal do Ar Márcio de Souza e Mello", from Álvares Machado - SP. We used the theoretical presupposes from Ausubel, Parsysz, Van Hiele and Duval that contributed to the base and the analysis of this study. Before we initiate the pedagogic intervention, we applied a diagnostic evaluation to identify the students' previous knowledge as well as their possible difficulties. From this diagnostic we planed and developed nine learning situations, experimented during six months in 2007 and for what we used different didactic resources, as the computer, for example. Finally we applied the evaluation again to verify the students' improvement about the concepts comprehension. To best analyze the collected data, we divided the students in three groups... / Mestre
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Investigação sobre as contribuições da matemática para o desenvolvimento da educação financeira na escolaRaschen, Samuel Ricardo January 2016 (has links)
Esta dissertação se propõe a averiguar que contribuições a matemática pode oferecer para o desenvolvimento da Educação Financeira Escolar. Detalha as origens da discussão do assunto e seus desdobramentos no Brasil, analisando os trabalhos acadêmicos e a criação da ENEF (Estratégia Nacional de Educação Financeira). Destaca a expansão do movimento na América Latina e faz críticas aos conceitos de letramento financeiro concebidos pelo PISA (Programme for International Student Assessment) e ao entendimento de Educação Financeira incorporado pela ENEF, apresentando novas definições. Aborda a relação entre a Matemática Crítica, pensada por Ole Skovsmose, e a Educação Financeira. Aplica duas atividades em uma turma com 32 alunos do 2º ano do ensino médio e conclui, amparada na Teoria das Situações Didáticas de Guy Brousseau, que, além da matemática financeira, do conhecimento do plano cartesiano, das funções lineares e exponenciais, da álgebra e da proporção (incluindo porcentagem), são fundamentais a utilização de habilidades como a interpretação de gráficos e de tabelas, o pensamento abstrato e algébrico, a capacidade de percepção de relações numéricas e/ou algébricas em diferentes situações do cotidiano e a capacidade de transformar em argumento um resultado ou uma fórmula. / This dissertation proposes to find out contributions mathematics can offer to the development of School Financial Education. It details the origin of the subject discussion and its consequences in Brazil, analyzing the academic work and the history of the creation of ENEF (Brazilian Strategy for Financial Education). It points out the expansion of the movement in Latin America and criticizes the concepts of financial literacy conceived by PISA (Programme for International Student Assessment) and the understanding of Financial Education incorporated by ENEF, presenting new definitions. It deals with the relation between the Critical Mathematics, thought by Ole Skovsmose, and the Financial Education. It puts two activities into practice in a class with 32 students 2nd year high school and concludes, supported on Guy Brousseau’s Theory of Didactic Situation, that be sides financial mathematics, the knowledge of Cartesian plane, linear and exponential functions, algebra and proportion (including percentage), the use of skills such as graphs and tables interpretation, abstract and algebraic thinking, the ability to realize numerical and/or algebraic relation in different everyday situations and the capacity to transform in arguments a result or a formula are fundamental.
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Étude comparative des représentations sociales de l’atome en milieu scolaire, en France et en Grèce, en corrélation avec sa transposition didactique de 1945 à 2014 / Comparative study of social représentations of the atom in schools, in France and Greece, correlated with its didactic transposition from 1945 to 2014Grivopoulos, Konstantinos 10 December 2014 (has links)
Connaître la représentation sociale (RS) d'un concept scientifique peut servir d'appui à l'enseignement - apprentissage. La problématique de ce travail de thèse, qui s'inscrit en didactique des sciences, interroge la RS de l'atome chez des élèves français et grecs, en collège et en lycée. En parallèle, est étudiée la transposition didactique de ce concept, dans l'enseignement général scientifique des deux pays, de 1945 à nos jours. La théorie des situations didactiques, la théorie anthropologique du didactique et la théorie du noyau central, quant au concept de RS, constituent nos appuis théoriques. Nous avons suivi une méthode triangulaire de récolte et de traitement de données, issues d'entretiens, de dessins d'élèves et de questionnaires types de détection des RS. En outre, nous avons élaboré une grille d'analyse didactique de manuels scolaires de physique-chimie. Les résultats ainsi obtenus ont été comparés avec ceux issus d'une analyse textuelle, menée sur Alceste. La confrontation des systèmes représentationnels a révélé des convergences, mais aussi quelques différences, dues aux particularités transpositives dans les deux systèmes d'enseignement. En effet, le modèle planétaire de l'atome et la notion du noyau atomique occupent le noyau central de la RS, alors que les notions d'électron et de proton se placent en périphérie proche. Part ailleurs, le « nucléaire » semble être un élément saillant pour les français, tandis que chez les grecs dominent des éléments relatifs à la modélisation d'atome. En conclusion, l'enseignement peut être entravé par l'activation d'un processus représentationnel, donnant naissance à des systèmes de représentations - connaissances. / Understanding the social representation of a scientific concept may be useful to the teaching and learning of it. The central question of this dissertation, that belongs to the didactic of the Sciences, is the social representation of the atom in French and Greek middle and high school students. Simultaneously, the didactic transposition of this concept in the general scientific education of these two countries is studied, from 1945 up to today. Our theoretical foundation with regard to social representations, is comprised of the theory of didactic situations, the anthropological theory of didactic, and the theory of the central core. We have collected, processed and combined data comprised of student interviews, drawings and answers to questionnaires to study the social representations. Furhermore, we have designed a technique of didactic analysis of Physics and Chemistry high school textbooks. The obtained results were compared with those of textual analysis using the Alceste software. The comparison of the representation systems revealed both similarities and differences, due to peculiarities in the didactic transposition, in the two educational systems. In both systems, it is the planetary model of the atom and the notion of the atomic nucleus that occupy the central core of the representation, while the notions of the electron and the proton are placed in the near periphery. On the other, the nuclear dimension of the atom is very important to the French, while to the Greeks it is elements related to the modelling of the atom that dominate. In conclusion, teaching may be hindered by the activation of a representation process giving rise to systems of representation.
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Émergence et évolution des objets mathématiques en Situation Didactique de Recherche de Problème : le cas des pavages archimédiens du plan / Emergence and evolution of mathematical objects, during a “ Didactical Situation of a Problem Solving ” : the Case of Archimedean tilings of the planeFront, Mathias 27 November 2015 (has links)
Étudier l'émergence de savoirs lors de situations didactiques non finalisées par un savoir préfabriqué et pré-pensé nécessite un bouleversement des points de vue, aussi bien épistémologique que didactique. C'est pourquoi, pour l'étude de situations didactiques pour lesquelles le problème est l'essence, nous développons une nouvelle approche historique et repensons des outils pour les analyses didactiques. Nous proposons alors, pour un problème particulier, l'exploration des pavages archimédiens du plan, une enquête historique centrée sur l'activité du savant cherchant et sur l'influence de la relation aux objets dans la recherche. De ce point de vue, l'étude des travaux de Johannes Kepler à la recherche d'une harmonie du monde est particulièrement instructive. Nous proposons également, pour l'analyse des savoirs émergents en situation didactique, une utilisation d'outils liés à la sémiotique qui permet de mettre en évidence la dynamique de l'évolution des objets mathématiques. Nous pouvons finalement conclure quant à la possibilité de construire et mettre en œuvre des ≪ Situations Didactiques de Recherche de Problème ≫ assurant l'engagement du sujet dans la recherche, l'émergence et le développement d'objets mathématiques, la genèse de savoirs. L'étude nous conforte dans la nécessité d'une approche pragmatique des situations et la pertinence d'un regard différent sur les savoirs à l'école / The study of the emergence of knowledges in teaching situations not finalized by a prefabricated and pre-thought knowledge requires an upheaval of point of view, epistemological as well as didactic. For the study of learning situations in which the problem is the essence, we develop a new historical approach and we rethink the tools for didactic analyzes. We propose, then, for a particular problem, exploration of Archimedean tilings of the plane, a historical inquiry centered on the activity of the scientist in the process of research and on the influence of the relationship with objects. From this perspective, the study of Johannes Kepler’s work in search of a world harmony is particularly instructive. We also propose, for the analysis of the emerging knowledge in teaching situations, to use tools related to semiotics, which allows to highlight the dynamic of evolution of mathematical objects. We can finally conclude on the opportunity to build and implement “Didactic Situations of Problem Solving”, which ensure the commitment of the subject in the research, the emergence and development of mathematical objects, the genesis of knowledges. The study reinforces the necessity of a pragmatic approach of situations and the relevance of a different look at the knowledge at school
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Duo d'artefacts numérique et matériel pour l'apprentissage de la géométrie au cycle 3 / Duo of digital and material artefacts dedicated to the learning of geometry at primary schoolVoltolini, Anne 30 August 2017 (has links)
L’objet de notre recherche en didactique des mathématiques est d’étudier l’introduction des technologies numériques comme environnement complémentaire à des manipulations concrètes. Nous définissons les duos d’artefacts comme l’articulation fructueuse entre un artefact numérique et un artefact matériel qui soit une plus-value pour les apprentissages. L’approche instrumentale de Rabardel nous permet d’établir les critères de cette articulation; chaque artefact du duo enrichit l’autre à travers les instruments construits. Un duo d’artefacts provoque des genèses instrumentales associées. Afin de fonder les conditions d’un apprentissage au sens de Brousseau, un duo n’existe que lorsqu’il est mobilisé dans une situation didactique. Notre enjeu est alors d’élaborer un duo d’artefacts incluant le compas matériel en vue de la conceptualisation du triangle à partir de sa construction à la règle et au compas. La composition du duo et son orchestration dans une situation ont pour intention de faire émerger une nouvelle genèse instrumentale du compas et, selon les travaux de Duval, une déconstruction dimensionnelle 1D du triangle. Des expérimentations en classe nous ont permis de valider l’hypothèse selon laquelle la situation et le duo provoquent l’élaboration d’un nouvel instrument compas pour faire pivoter un segment. Le modèle de conceptions de Balacheff nous a aussi permis d’identifier l’évolution des conceptions des élèves sur le triangle et le cercle au fil de la situation, en particulier l’apparition d’une vision 1D du triangle comme une ligne brisée fermée et d’une caractérisation du cercle comme la trajectoire d’une extrémité d’un segment pivoté. / Our research project in didactics of mathematics is to study the use of digital technologies as a complementary environment to concrete manipulations. We define a duo of artefacts as the fruitful link between a digital artefact and a material one in such a way that this linking is an added value for the learning process. The instrumental approach of Rabardel allows us to establish the requirements for this link, each artefact enriching the other through the constructed instruments. A duo of artefacts sets off associated instrumental geneses. In order to base the conditions of the learning process, in the sense of Brousseau, a duo exists only when it is mobilized in a didactic situation. Our issue is to develop a duo of artifacts including the pair of compasses for the conceptualization of the triangle in the teaching of its geometric construction. The composition of the duo and its orchestration in a didactic situation are intended to bring out a new instrumental genesis of the compasses and, according to Duval's work, a 1D dimensional deconstruction of the triangle. Experiments in classes have enabled us to validate the hypothesis that the situation and the duo cause the development of a new pair of compasses instrument to rotate a segment. Balacheff's model of conceptions also allowed us to identify the evolution of pupils' conceptions of the triangle and the circle as the situation progressed, specifically the improvement of a 1D vision of the triangle as a closed broken line and a characterization of the circle as the trajectory of one end of a pivoted segment.
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