Thesis (Ph. D.)--New York University, 1910. / "Bibliography of the chief works consulted": p. IX.

Thesis (Ph. D.)--Johns Hopkins University, 1916. / "This monograph comprises chapters one, two, and three of a study to be published in Hesperia, Supplementary Series, no. 6."

Thesis (Ph. D.)--Johns Hopkins University, 1916. / "This monograph comprises chapters one, two, and three of a study to be published in Hesperia, Supplementary Series, no. 6."

Inaug.-diss.--Erlangen. / Lebenslauf. "Verzeichnis der zu rate gezogenen literatur": p. [5-6].

Thesis (Ph. D.)--New York University, 1910. / "Bibliography of the chief works consulted": p. IX.

Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references.

No description available.

No description available.

Cette recherche s’inscrit, à la fois, dans le champ des recherches portant sur l’organisation du temps scolaire et dans celui traitant de l’articulation des enseignements mathématiques entre école et collège. Il s’agit d’une approche transversale, visant à tisser des liens entre temps d’enseignement, culture des professeurs et mémoire didactique. La thèse montre en quoi la possibilité ou non de mobiliser des situations mathématiques nécessitant des recherches longues et des débats, exerce une influence sur les formes prises par l’institutionnalisation des connaissances et, au-delà, sur le rapport aux mathématiques des enseignants. Dans le courant de l’année scolaire 2006-2007, quatre classes de sixième et quatre classes de CM2 ont été observées. La production d’un nombre important d’énonciations différentes de connaissances différentes, a été mise en évidence, entraînant une régulation, sous la forme d’un nombre restreint de connaissances rappelées et/ou institutionnalisées par écrit. On peut qualifier ce double processus, d’extension et de réduction didactique. La réduction didactique assure aux connaissances visées par l’étude une visibilité élective, tout au long du processus d’institutionnalisation. Cette mise en avant de certaines connaissances, liée à un traitement discursif et sémiotique spécifique, a été qualifiée de « visibilité institutionnelle ». L’aptitude de la mémoire didactique à se projeter dans l’avenir comme dans le passé confirme sa dimension prospective et sa capacité à organiser un récit susceptible d’emporter l’adhésion des élèves. / This research is two-fold, taking place in the field of research on the organization of school time and the one focusing on Mathematics teaching organization, both in primary school and middle school. The approach exposed is transversal, forging links between instructional time, teacher culture and didactic memory. The thesis demonstrates how the possibility or not to mobilize mathematical situations, requiring long research and discussions, affects the institutionalization of knowledge shapes and, beyond, teachers’ feeling about Mathematics. In the course of the 2006-2007 school year, four classes of fifth grade and four classes of sixth grade were observed. The production of a large number of different enunciations of various knowledge was highligthed, resulting in a regulation with a limited number of knowledge recalled and / or institutionalized in writing. We can describe this dual process as didactic extension and reduction.Didactic reduction ensures targeted knowledge elective visibility, all along the institutionalization process. Highlighting a specific knowledge is called “institutional visibility”. The ability of didactic memory to project into the future as into the past confirms its prospective dimension and its ability to organize a story that could win students’ support.

Submitted by (lucia.rodrigues@ufrpe.br) on 2016-11-22T13:31:10Z No. of bitstreams: 1 Marilene Rosa dos Santos.pdf: 3007504 bytes, checksum: a1c28662bf3ebb99e5a4e88731999f45 (MD5) / Made available in DSpace on 2016-11-22T13:31:10Z (GMT). No. of bitstreams: 1 Marilene Rosa dos Santos.pdf: 3007504 bytes, checksum: a1c28662bf3ebb99e5a4e88731999f45 (MD5) Previous issue date: 2005-08-01 / This research had the objective to investigate the possible relation between the concept of parallelogram area in a didactic book collection for the last grades of elementary school and the procedures used by students of an 8th grade class in the solutions to the problems related to this theme. The theoretical fundation is based on the model of area as magnitude, as it is in the works of Douady & Perrin-Glorian and Bellemain & Lima and in Theory of didactic situations developed by Brousseau and his disciple, particulary by the notions of didactic contract and didactic variables. The methodological procedures inspired by Bessot & Le Thi Hoai, consisted on the analysis of a collection of didactic Mathematics books, followed by the application of a test with students, users of the books. Twenty-one students of an 8th grade class of a federal public elementary school took part in this research in the city of Recife. The activities proposed were made in order to look alike on the books, but breaking with some rules of the didactic contract suppose standing the value of the didactic variables identified it was, in the time predominant in the didactic book collection, in the time value not used. The analysis of results indicated convergence and divergence among the abordage of the books and procedures by the students about the parallelogram area. For example, in the collection like in the procedures of the students, the side like base is generally the horizontal side (also when it´s not aborded the greatest side). The didactic book analyzed for beginning the measure of area only in a posterior moment worked the constancy of the area for decomposition and composition. This choice is against that one indicated in literature revision by the premature association of the surface to a number help the confusion between the magnitude length and area. Contrary to our expectation, on the activities proposed to great part of the students showed to discolour area and perimeter. / Esta pesquisa teve por objetivo investigar as possíveis relações entre a abordagem da área do paralelogramo em uma coleção de livros didáticos para as séries finais do ensino fundamental e os procedimentos utilizados pelos alunos de uma 8ª série na resolução de problemas relativos a esse tema. A fundamentação teórica está alicerçada no modelo de área como grandeza, proposto nos trabalhos de Douady & Perrin-Glorian e Bellemain & Lima e na Teoria das Situações Didáticas desenvolvida por Brousseau e seus seguidores, particularmente nas noções de contrato didático e variável didática. Os procedimentos metodológicos inspirados em Bessot & Le Thi Hoai, consistiram na análise de uma coleção de livros didáticos de Matemática, seguida da aplicação de um teste com alunos, usuários dos livros. Participaram desta pesquisa 21 alunos da 8ª série de uma escola pública da cidade do Recife. As atividades do teste foram elaboradas de forma que rompessem com algumas regras de contrato didático supostamente vigente e os valores das variáveis didáticas identificadas fossem ora aqueles predominantes na coleção de livros didáticos, ora valores não habituais. As análises dos resultados indicaram convergências e divergências, entre a abordagem dos livros e os procedimentos dos alunos referentes à área do paralelogramo. Por exemplo, tanto na coleção como nos procedimentos dos alunos, o lado tomado como base é geralmente o horizontal (mesmo quando não se trata do lado de maior comprimento). Os livros didáticos analisados focalizam inicialmente a medida de área e apenas em um momento posterior trabalham a invariância da área por decomposição e recomposição. Esta escolha diverge daquela indicada na revisão de literatura segundo a qual a associação precoce da superfície a um número favorece a confusão entre as grandezas comprimento e área. Contrariamente à nossa expectativa, nas atividades propostas a maioria dos alunos mostrou distinguir área e perímetro.