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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To make mathematics more significant for the beneficiaries, the problem studied in this thesis is to investigate how to connect mathematical daily practices with educational contexts. The overarching aim is to investigate how to contextualise school mathematics within Rwandan cultural mathematics practices. The content of the thesis reports on the characteristics of mathematical organisations in three workplace settings (taxi driving, house construction and restaurant management) which in turn serve as source for the design of contextualised mathematical activities for student teachers in a teacher education programme. Three levels of mathematical practices are described: (1) mathematical practices that are performed by workers within their respective workplaces, (2) mathematical practices that are performed by student teachers while solving and posing contextualised mathematical tasks for secondary school students, (3) mathematical practices that are carried out by secondary school students. Data gathered from individual and group interviews, transcripts of group discussions and students’ written reports of mathematical work were analysed from the perspective of both activity theory and anthropological theory of didactics. Findings from workplace settings revealed that mathematical organisations performed by workers are characterised by techniques which are functional to the problem at hand, the cultural constraints and the educational background of the workers. As long as they are pragmatic towards the goals of the activity no further justification of the techniques used is needed, resulting in a mathematical organisation with undeveloped know-why (logos). On the contrary, at university and secondary school settings, students justified the used techniques throughout the related taught content of the subject mathematics. Also from each category of mathematical practice, it is shown that while connecting workplaces and educational settings the didactic transposition process was much influenced by the institutional conditions and constraints. / För att göra matematiken betydelsefull för avnämarna är problemområdet som studeras i denna avhandling hur den matematik som finns i samhället kan överbryggas till en undervisningskontext. Syftet med avhandlingen är att undersöka hur man kan kontextualisera skolmatematik i kulturella praktiker i Rwanda. I avhandlingen belyses först matematisk organisation på tre arbetsplatser – i en taxiverksamhet, hos en byggmästare och hos en restaurangägare. Matematik i dessa verksamheter utgör underlag för att konstruera uppgifter för lärarstudenter inom ämnet matematik som först löser uppgifterna och sedan i sin tur konstruerar uppgifter för elever motsvarande årskurs nio i grundskolan. Uppgifterna konstrueras med utgångspunkt i den information studenterna fått om de tre verksamheterna. Datainsamlingen skedde med hjälp av individuella intervjuer, gruppintervjuer och bandinspelade gruppdiskussioner samt studenters och elevers nedtecknade lösningar på respektive uppgifter. Data analyserades med hjälp av aktivitetsteori och antropologisk didaktisk teori. Resultaten från arbetsplatserna visade att matematisk organisation kännetecknades av tekniker som är funktionella för de problem som behövde lösas, de kulturella villkor som förelåg och deltagarnas utbildningsbakgrund. Så länge som teknikerna ledde till önskade mål för verksamheten fanns inga behov att utveckla tekniken som kännetecknades av en matematisk organisation med outvecklad logos. I kontrast till denna strategi sågs studenter och elever i respektive miljöer redovisa de tekniker som användes och motivera dem i enlighet med vad som krävs inom matematikämnet. Den matematiska transpositionsprocessen som utfördes av deltagarna i de olika miljöerna influerades i hög grad av rådande institutionella villkor och begränsningar.

Nos connaissances scientifiques sur la reproduction humaine et l’éducation à la sexualité se renouvellent très rapidement. Leur transposition didactique également, en fonction de l’évolution de pratiques sociales liées à la santé sexuelle, à des comportements sociaux, mais aussi en interaction avec des représentations sociales et des valeurs. L’objectif de notre recherche est donc de clarifier ces interactions et d'identifier ce qui empêche ou retarde l'introduction, dans l'enseignement d'un pays, des dernières connaissances scientifiques sur la reproduction humaine et l’éducation sexuelle. Une première approche historique et épistémologique est relative à l’influence des facteurs culturels sur l’éducation à la sexualité dans le cadre de la culture arabo-islamique, sans oublier pour autant le cadre culturel occidental. Par ailleurs, une deuxième approche didactique porte sur l’analyse d’une part des programmes et manuels scolaires tunisiens (depuis 2004 jusqu’à nos jours), et d’autre part sur une analyse comparative des conceptions des enseignants en Tunisie et dans six pays francophones (Maroc, Algérie, Liban, Burkina Faso, Sénégal et la France). Afin de permettre un choix raisonné des contenus d’enseignement, nous avons trouvé utile l’approche suivante : l’étude de l’interaction entre les programmes, les manuels et les attentes des futurs enseignants. C’est dans cette perspective que nous avons tenté d’identifier les attentes et les interrogations des futurs enseignants tunisiens sur l’enseignement de l’éducation à la sexualité. Le dernier chapitre de cette thèse analyse les conceptions d'enseignants dans sept pays francophones (Algérie, Burkina Faso, France, Liban, Maroc, Sénégal, Tunisie) sur la reproduction humaine et l’éducation à la sexualité. Notre contribution se veut une porte d'entrée à ce vaste domaine toujours en évolution, qu'est la sexualité dans une perspective éducative et citoyenne ; elle veut poser la question du statut moral et culturel de la sexualité dans notre société. En effet, l'analyse des conceptions des enseignants nous a conduits à caractériser la notion de « rapport à la culture » qui se rapproche du concept de « rapport au savoir ». La mise en évidence de l’incidence de la culture musulmane sur le sujet traité nous a permis de tirer des conclusions quant au lien entre la culture et les conceptions / Our scientific knowledge about Human Reproduction and Sex Education is constantly changing. Its didactic transposition is also changing according to the evolution of social practices linked to reproductive health, social behaviours, and in its interaction with values. The aim of our research is therefore to clarify these interactions and to identify the factors that prevent or promote the introduction of the lastest scientific knowledge on Human Reproduction and Sex Education into a country’s teaching syllabus. Firstly, a historical and epistemological approach was used to study the influence of cultural factors on sex education in the Arabic-Muslim culture, without neglecting the Western culture. Secondly, a didactic approach was used to critically analyse Tunisian school textbooks on Human Reproduction and Sex Education (from 2004 to 2011), and equally to carry out a comparative analysis of teachers' conceptions in Tunisia and in six francophone countries (Morocco, Algeria, Lebanon, Burkina Faso, Senegal and France). In order to choose an appropriate teaching content, we thought it wise to use the approach of studying the interaction between the syllabus, the textbooks and the student teachers’ expectations on the teaching of human reproduction and sexuality. It is in this perspective that we attempted to identify the expectations and worries of student teachers on issues related to the teaching of sex education. The last chapter of this work analyses the conceptions of teachers in seven francophones countries (Algeria, Burkina Faso, France, Lebanon, Morocco, Senegal, Tunisia) on Human Reproduction and Sex Education. This work intends to make its contribution to the vast and constantly evolving domain of Human sexuality, especially in the perspective of citizenship education. It intends to discuss the question of culture and moral status of sexuality in our society. In fact, the analysis of teachers' conceptions about sex education led us to characterize the notion of "relation to culture" which approaches the concept of "relation to knowledge". Highlighting the impact of Muslim culture on the topic has permitted us to draw conclusions about the link between culture and conceptions

Made available in DSpace on 2016-04-28T19:33:55Z (GMT). No. of bitstreams: 1 Catia Luciana Pereira.pdf: 17253259 bytes, checksum: 3081d3348b4705e00ed28b5ae73794e2 (MD5) Previous issue date: 2015-03-06 / Colégio Bandeirantes / The present thesis has as objective the investigation of the link between Portuguese Language and new technologies in classroom theory and practical exercises, due to the concern regarding Portuguese Language teaching in High School and its relation to technology and to the necessity to provide theoretical and methodological aid to support pedagogic practices that integrate these fields. For such, we surveyed official documents in this area, we sought to understand scientific knowledge related to both fields, we have analyzed a textbook chapter, we have verified if, in this chapter, such relations become effective considering the treatment given to the blog, and we propose a didactic sequence to complement the textbook approach. The student s communicative competence is a necessary condition to citizenship practice, as it allows the individuals to become critical readers that will know how to express themselves in both oral and written modalities of the language, adapting to the most diverse communicative situations. As the objective of Portuguese Language discipline at school today is to enable such communicative competence, it is nonsensical to keep separated, as it is traditionally done, the exercises of reading, interpreting, producing texts and analyzing grammar, as well as the exercises of digital technologies. This reality, which should connect the school role, the Portuguese Language teaching and technologies, leads us to formulate two research questions: 1 - What are the assumptions needed to conceive new technologies as Digital Pedagogy components? 2 - How does a High School textbook propose the articulation of the six Pedagogies of Linguistic Education? The Linguistic Education is the theoretical foundation of this study, especially when it comes to the integration of pedagogies of orality, writing, reading, lexicon-grammar and literature to which we add what we have denominated as digital pedagogy. This is proposed because digital competence is today one of the composing elements of communicative competence to be passed onto our students and, as we see it, just as important as the other types of competence / A presente dissertação objetiva investigar as relações entre Língua Portuguesa e as novas tecnologias na teoria e na prática de sala de aula, o que se justifica pela preocupação com o ensino de Língua Portuguesa no Ensino Médio e suas relações com a tecnologia e pela necessidade de fornecer subsídios teóricos e metodológicos para auxiliar a prática pedagógica que integre esses campos. Para tanto, fazemos um levantamento dos documentos oficiais sobre a área, buscamos compreender os saberes científicos relativos aos dois campos, analisamos o capítulo de um livro didático, verificando se nele tais relações se efetivam no tratamento dado ao blog, e propomos uma sequência didática que complemente a abordagem do livro didático. Como o objetivo da disciplina na escola hoje é o desenvolvimento da competência comunicativa do estudante, condição necessária para o exercício da cidadania, de modo a que se torne um leitor crítico e saiba se expressar nas modalidades oral ou escrita da língua, adequando-se às mais diversas situações de comunicação, não faz sentido manter separadas, como tradicionalmente se faz, as práticas de leitura, interpretação, produção textual e gramática, muito menos as tecnologias digitais. Essa realidade, na qual deve haver relação entre a função da escola, o ensino de Língua Portuguesa e as tecnologias, leva-nos a formular duas perguntas de pesquisa: 1 - Quais os pressupostos para se conceberem as novas tecnologias como constituintes de uma Pedagogia do Digital? 2 - Como o livro didático do Ensino Médio propõe a articulação das seis Pedagogias da Educação Linguística? A Educação Linguística é a fundamentação teórica adotada neste trabalho, especialmente no tocante à integração das pedagogias da oralidade, da escrita, da leitura, léxico-gramatical e da literatura às quais acrescentamos o que denominamos de pedagogia do digital, já que a competência digital atualmente é também um dos elementos que compõem a competência comunicativa a ser desenvolvida em nossos estudantes e, a nosso ver, tão importante quanto as demais

Made available in DSpace on 2016-04-27T16:59:04Z (GMT). No. of bitstreams: 1 Talita Carvalho Silva de Almeida.pdf: 3837664 bytes, checksum: 6aa928cfc78fbe58633dd69e12c49ccc (MD5) Previous issue date: 2010-04-26 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This research aims to revisit the mathematical object Archimedean Solids through their constructions on the environment of Dynamic Geometry Cabri 3D. Thus, the research question was: Can the mathematical object Solids Archimedean be rescued as the object of education for the Basic School using the environment as habitat Dynamic Geometry Cabri 3D? To investigate processes of construction for these solid, we resort to a bibliographic developed based on material already prepared, consisting of books and scientific articles. The theoretical framework was based on the Theory of Didactic Transposition to promote the relationship between the epistemological analysis and didactic analysis, while identifying characteristics that determine the survival of the Archimedean Solids mathematical object as the object of education, and the theory of Register of Representation Semiotics of Duval (1995), to identify and analyze the register mobilized for the construction of solid as well as highlight treatments and conversions made. The methodological choice for literature contributed to the achievement of the desired goal, since it allowed us to find a mathematical procedure performed by Renaissance to obtain Archimedean from cut edges of Platonic solids. The analysis of the constructions helped us realize that the only figural treatments are not sufficient for the construction of the Archimedean solids in Cabri 3D, it is necessary to mobilize a record discursive support for the cut-off points on Platonic solids can be found. Accordingly, we find that Cabri 3D was confirmed as a habitat for the study of Archimedean Solids, because recognized as an object all the knowledge that determine the existence of mathematical object as an object of education / O presente trabalho tem como objetivo revisitar o objeto matemático Sólidos Arquimedianos por meio de suas construções no ambiente de Geometria Dinâmica Cabri 3D. Assim, a pergunta de pesquisa foi: o objeto matemático Sólidos Arquimedianos pode ser resgatado como objeto de ensino para a Escola Básica, utilizando como habitat o ambiente de Geometria Dinâmica Cabri 3D? Para investigar processos de construção para esses sólidos, recorremos a um estudo bibliográfico desenvolvido com base em material já elaborado, constituídos principalmente de livros e artigos científicos. O referencial teórico baseou-se na Transposição Didática e na Problemática Ecológica de Yves Chevallard (1991), para promover a articulação entre a análise epistemológica e a análise didática, além de apontar características outras que determinam a sobrevivência do objeto matemático Sólidos Arquimedianos enquanto objeto de ensino, e na teoria dos Registros de Representação Semiótica de Duval (1995), para identificar e analisar quais os registros mobilizados para a construção desses sólidos, bem como evidenciar os tratamentos e conversões efetuados. A escolha metodológica pela pesquisa bibliográfica contribuiu para o alcance do objetivo desejado, visto que nos permitiu encontrar um procedimento matemático realizado por renascentistas para a obtenção de arquimedianos a partir de cortes nas arestas de sólidos platônicos. As análises das construções realizadas ajudaram a perceber que os tratamentos apenas figurais não são suficientes para a construção dos Sólidos Arquimedianos no Cabri 3D, faz-se necessário mobilizar um registro discursivo suporte para que os pontos de corte em sólidos platônicos possam ser encontrados. Nesse sentido, constatamos que o Cabri 3D se confirmou como um habitat para o estudo dos Sólidos Arquimedianos, na medida em reconheceu como objeto todos os saberes que determinam a existência desse objeto matemático enquanto objeto de ensino

En voulant revoir le concept de transposition didactique (TD) dans un milieu professionnel, nous avons étudié le travail des vulgarisatrices agricoles féminines en Tunisie. Deux thèses sont soutenues simultanément : a/ La limite du concept de transposition didactique dans la lecture d’un espace de travail et l’intérêt du concept d’activité. b/ Contrairement à la représentation répandue, à savoir d’être des agents d’exécution, les vulgarisatrices sont plutôt des travailleuses créatives et créatrices de possibles. La combinaison d’approches sociologiques, psychologique historico-culturelles, didactique disciplinaire et didactique professionnelle, a permis, par des observations directes, des analyses d’entretiens et de documents, de suivre le processus de TD du début jusqu’à la fin avec des vulgarisatrices sur le terrain. Nous découvrons alors que le processus de TD ne rend compte que d’une partie de la réalité professionnelle qui est complétée par l’analyse de l’activité des vulgarisatrices. La transposition n’est pas uniquement didactique mais elle est avant tout professionnelle pragmatique. Tout en constituant un référent à la transposition, le cadre prescriptif influence et contraint les vulgarisatrices prises dans son mécanisme, mais la transposition est également le produit de leur activité socialement, culturellement et émotionnellement située. Nous comprenons mieux ainsi la diversité des activités de transposition situées et individuelles. / While re-examining the concept of didactic transposition (DT) in a professional environment, we studied the work of female agricultural advisors in Tunisia. Two arguments are simultaneously defended. A) The limits of the concept of “didactic transposition” in analysing a work environment and the interest of the concept of “activity”. B) Women who act as agricultural advisors are creative workers rather than simple executants. We combined sociological, psychological, historical and cultural approaches, academic and vocational didactics, directly observing women in charge of agricultural extension, analysing interviews and documents, following the process of DT from the beginning to the end. We thus discovered that the process of DT only partly accounts for the reality of these women’s work, the analysis of their activity supplementing it. Transposition is not only didactic; it is also vocational and pragmatic. The prescriptive framework constitutes a referent for transposition; it also influences and constrains the women who are involved in agricultural extension. Transposition is the result of their activity which is socially, culturally and emotionally situated. We are thus better able to understand the diversity of the activities of transposition once they have been situated in a context and recognized in their individuality.

Cette recherche a pour objet d’étudier la conception qu’ont les élèves du cycle de vie des plantes à fleurs, en Alsace et au Baden-Württemberg, dans des établissements du primaire et du secondaire, de rechercher les facteurs d’influence potentiels et de dégager les principaux obstacles aux apprentissages. Trois éléments structurent cette thèse : 1) une enquête exploratoire par entretiens (n=49) ; 2) une analyse contextuelle des références en sciences naturelles et dans le champ socio- culturel, des “curricula à enseigner”, à travers les programmes et manuels scolaires, et des “curricula enseignés” ; 3) une enquête principale par questionnaires (n=1388). Les outils de recueil interrogent les concepts-clés (graine, fleur, fruit) et les processus-clés (pollinisation, fécondation, fructification, formation des graines, dissémination) qui caractérisent le cycle de vie des plantes à fleurs. Les élèves ont été priés d’ordonner différents stades de développement des plantes et d’expliquer ce placement. Différents modèles mentaux ont été élaborés à partir des résultats. D’autre part, les résultats sont mis en lien avec ceux de l’analyse contextuelle. La conceptualisation du cycle de vie végétal dépend, entre autres, de celle de la reproduction sexuée et ainsi du type de plante (fleur, au sens commun, ou d’un arbre fruitier). Des différences culturelles ont également pu être relevées. / This research aims to investigate students’ conceptions about the life cycle of flowering plants in both Alsace and Baden-Württemberg, in primary and secondary schools, to detect potential factors influencing student’s conceptions and to identify main learning obstacles. Three elements structured this PhD-thesis: 1) an exploratory investigation with the help of interviews (n=49) ; 2) a context analysis of references in natural sciences and in the socio-cultural domain, of “curricula to teach” through school programmes and manuals, and of “taught curricula” ; 3) a main investigation using questionnaires (n=1388). The instruments included questions to key concepts (seed, flower, fruit) and processes (pollination, fecundation, fructification, formation of seeds, dissemination), which characterize the life cycle of flowering plants. Students were especially asked to order different development stages of plants and to explain their ordering. Different mental models could be derived from the results. Moreover, results were related to those of the context analysis. Conceptualizations of the life cycle of plants depend, amongst others, on those of the sexual reproduction and thus the type of plant (flower, fruit tree). Cultural differences were also identified.

À partir de quarante-huit extraits empruntés à dix-huit manuels de Portugais Langue Étrangère (PLE) publiés au Brésil et aux États-Unis entre 1954 et 2008, s’effectuera une analyse de la représentation de la brésilianité – traduction du mot « brasilidade » en portugais, un concept qui condense les principales caractéristiques de la culture et de l’histoire brésiliennes – depuis sa construction à l’époque du Brésil colonial (1500-1815), jusqu’à son utilisation à l’ère de la mondialisation (période considérée à partir des années 1950). En me basant sur le système de conception des auteurs, j’observe que la manuélisation ne se limite pas à rendre compte des ruptures et des continuités qui s’établissent entre le savoir savant et le savoir réellement enseigné, ce qui équivaudrait à un cas spécifique de transposition didactique (Verret 1975). Bien davantage, ces extraits corroborent l’idée selon laquelle les manuels dont ils sont issus expriment un ensemble d’idéologies, en particulier l’idéologie du bonheur (Ellul, 1998), caractéristique fréquemment attribuée aux images d’un certain Brésil ainsi réduit à n’être perçu que comme un lieu de joie, dansant et chantant (Almeida Filho, 2005). / This analysis of the representations of Brazilianness (translation of the word « brasilidade » in Portuguese, a concept that embodies the main features of Brazilian culture and history) – from its construction in colonial Brazil (1500-1815) through to its use in the era of globalization (starting in the 1950s) – is based on forty-eight excerpts taken from eighteen Portuguese as a Foreign Language textbooks published in Brazil and the United States from 1954 to 2008: considering the authors’ process of conception, it can be noted that manualization is not only satisfied by the interruptions and continuities established between scholarly knowledge and knowledge to be taught, which would be classed as a specific case of didactic transposition (Verret 1975). These excerpts confirm the idea that their respective textbooks express certain ideologies, which include the ideology of happiness (Ellul, 1998), a characteristic frequently attributed to images of Brazil as a joyful place where singing and dancing abound (Almeida Filho, 2005). / Por intermédio de quarenta e oito excertos provenientes de dezoito manuais de Português Língua Estrangeira (PLE) publicados no Brasil e nos Estados Unidos entre 1954 e 2008, são analisadas as representações da brasilidade (conceito que concentra as principais características da cultura e da história nacionais) – desde sua construção no período do Brasil colonial (1500-1815) até seu uso na era da globalização (a partir da década de 1950): partindo do sistema de concepções dos autores percebe-se que a manualização não se satisfaz apenas com as rupturas e continuidades estabelecidas entre o saber sábio e o saber a ser ensinado; o que seria um caso específico de transposição didática (Verret 1975). Tais extratos validam a idea de que seus respectivos manuais expressam certas ideologias; dentre elas, a ideologia da felicidade (Ellul, 1998), característica frequentemente atribuída às imagens do Brasil enquanto lugar de alegria cantante e dançante (Ameida Filho, 2005).

Cette recherche se situe dans le cadre de la théorie anthropologique du didactique (TAD) dont elle utilise la notion de parcours d’étude et de recherche (PER) ainsi que le modèle des praxéologies. La problématique étudiée est celle de la détermination d’éléments de l’équipement praxéologique d’un enseignant, utiles pour la réalisation du projet de mise en œuvre d’un PER monodisciplinaire et finalisé par l’étude des programmes de mathématiques français en vigueur durant la période 2013-2015. Nous étudions les conditions et contraintes influant sur le processus de transposition didactique interne que conduisent deux enseignants, depuis l’appropriation d’un document qui leur est fourni, et dans lequel sont décrites les organisations mathématiques et didactiques visées, jusqu’à la réalisation didactique dans la classe. Cette enquête développe une étude clinique, permettant l’analyse des dimensions des praxéologies didactiques que ces enseignants activent, dans lesquelles apparaissent leurs rapports personnels aux mathématiques, à leur enseignement et leur apprentissage et au métier d’enseignant. Celles-ci, confrontées à l’étude de l’équipement praxéologique d’un troisième enseignant offrant des conditions favorables à la réalisation d’un PER, mettent en évidence un modèle épistémologique dominant et révèlent des besoins infrastructurels mathématiques et didactiques. / The framework of this research is the anthropological theory of the didactic (ATD), from which it uses the notion of a study and research path (SRP) as well as the model of praxeology. It studies the determination of the elements of a teacher’s a praxeological equipment which is considered useful in the implémentation of a monodisciplinary SRP, for the French mathematics programs’ teaching beetween 2013-2015. The study is divided into two related questions. Firstly, which didactic praxeologies could be regarded as useful to achieve the objectives of the project under consideration ? Secondly, what is likely to explain the difficulties encountered in the diffusion and reception of such didactic praxeologies with teachers ? We study the conditions and constraints on the internal didactic transposition’s process that two teachers undertook starting from the appropriation of a provided document, describing the targeted mathematical and didactic organizations, up to its implementation in the classroom. This inquiry develops a clinical study, allowing to analyze the dimensions of the didactic praxeologies activated by teachers, in which their personal relations to mathematics, and to mathematics teaching and learning and to the teaching profession arise. These didactic praxeologies, when confronted with the study of the third teacher’s appropriate praxeological equipment, highligth a dominant epistemological model and reveal needs for the development of mathematical and didactic infrastructures.