[pt] Este estudo visa contribuir para as reflexões sobre a constituição do conhecimento escolar, com base em uma pesquisa bibliográfica que buscou identificar e discutir a aplicação dos conceitos de transposição didática, de Yves Chevallard, e de recontextualização discursiva, de Basil Bernstein. Pretendeu proporcionar, desta forma, uma visão geral das diversas leituras possíveis das proposições desses autores, no recorte acima definido. Para tanto, foram analisadas as publicações de Bernstein e Chevallard que se relacionam mais diretamente com a temática em discussão nesta pesquisa, teses brasileiras recentes que operaram com esses conceitos, além dos trabalhos apresentados a partir de 1998 nas reuniões anuais da Associação Nacional de Pós- Graduação e Pesquisa em Educação (Anped), nos Encontros Nacionais de Didática e Prática de Ensino (Endipe), e nas três revistas categorizadas pelo sistema Qualis como de nível internacional A - Cadernos de Pesquisa, Educação e Sociedade e Revista Brasileira de Educação. No decorrer deste processo de pesquisa e reflexão, colocaram-se ainda, como questões paralelas, a discussão das fronteiras dos campos disciplinares do Currículo e da Didática, e a problemática da interpretação de textos teóricos. Conclui-se o estudo, apontando potencialidades e especificidades dos conceitos de transposição didática e de recontextualização discursiva, bem como a importância da incorporação da discussão de tais conceitos na formação de professores. / [en] The objective of this study is to contribute towards reflections regarding school knowledge constitution based upon bibliographical research, aimed at the identification and application of the following concepts: instructional transposition developed by Yves Chevallard and discourse recontextualization by Basil Bernstein. With the intent to provide an overview of several possible interpretations of these authors theoretical proposals within the above-mentioned approach, an analysis was conducted of the following: publications by Bernstein and Chevallard directly related to the subject discussed in this research, recent Brazilian thesis that applied these concepts and, starting in 1998, articles presented during annual meetings of the Associação Nacional de Pós-Graduação e Pesquisa em Educação (Anped), and during the Encontros Nacionais de Didática e Prática de Ensino (Endipe), as well as published in the three magazines categorized by the Qualis system as international A level (Cadernos de Pesquisa, Educação e Sociedade and Revista Brasileira de Educação). In the course of this reflection and research process, parallel issues were raised, such as the Curriculum and Instruction disciplinary fields boundaries and the interpretation of theoretical writings. In the conclusion of this dissertation, potentialities and specific features of instructional transposition and discourse recontextualization were underscored, as well as the importance of incorporating the discussion of these concepts to the teachers education curriculum.

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