Ensino de matemática, história da matemática e artefatos: Possibilidade de interligar saberes em cursos de formação de professores da Educação Infantil e anos iniciais do Ensino Fundamental.

This work is located at the shield of research that defends the use of Mathematics History, based on the utilization of historical artifacts at teaching activities, at Mathematics classrooms, and at graduation courses for teachers of Elementary School and of the first grades of High School. The general objective is to examine the possibility of the use of historical artifacts, at teaching activities, at graduation courses for teachers of Elementary School and of the first grades of High School. Artifact, at this work, is comprehended as objects, documents, monuments, images and other kinds of materials that make sense to the Human actions at the past and that represent what have been said and done at the Human history. At the construction of the theoretical-methodological way of the research we have based ourselves upon the ideas of the authors that are engaged at the teachers formation; at researchers adherents to the use of Mathematics History (MH) as a methodological resource, and at studies accomplished that elucidate the role of the artifacts at the history and as a mediatory element of learning. We defend the thesis that the utilization of historical artifacts at teaching activities enables the increasing of the knowledge, the development of competencies and essential abilities to the teacher acting, as well as interact at different areas of the knowledge, that provides a conception of formation where the teacher improves his learning, learning-doing and learning-being. We have adopted a qualitative research approach with a theoretical and pratic study disposition about the elements that contribute to the teachers works at the classroom, emphasizing the role of the Mathematics history at the teacher s formation and as a pedagogical resource at the mathematics classroom; the knowledge, the competencies and abilities of the historical artifacts as an integrative link between the different areas of the knowledge. As result, we emphasize that the proposition of using the MH, through learning activities, at the course of teacher graduation is relevant, because it allows the investigation of ideas that originate the knowledge generated at every social context, considering the contribution of the social and cultural, political and economical aspects at this construction, making easy the dialog among the areas and inside of each one The historical artifact represents a research source that can be deciphered, comprehended, questioned, extracting from it information about knowledge of the past, trace and vestiges of the culture when it was created, consisting of a testimony of a period. These aspects grant to it consideration to be explored as a mediatory element of the learning. The artifacts incorporated at teaching activities of the graduation courses for teachers promote changes on the view about the Mathematics teaching, in view of to privilege the active participation of the student at the construction of his knowledge, at the reflection about the action that has been accomplished, promoting stimulus so the teachers can create their own artifacts, and offer, either, traces linking the Mathematics with others knowledge areas.

Formação de educadores de jovens e adultos no Programa Geração Cidadã: relação entre saberes na proposição curricular

This paper deals with the fundamental elements of a curricular proposal aiming at the formation of alphabetizers of young and adults, as long as it concerns the relation between the academic knowledge and that one arising from the classroom experience. The empirical field of the research comes from the work of the teachers responsible for the formation of the alphabetizers of the GerAção Cidadã Program (2004-2005) linked, as an Extension Program, to Federal University of Rio Grande do Norte. Indeed, it tries to understand how these young and adult educators makers figure out the link between the experienced knowledge, which their lives give testimony of, with the scientific knowledge, which they are entitled to mediate in class. This work is funded in the principles of the Collaborative Research, which constitutes a kind of qualitative research. It makes use of procedures supported by qualitative research, especially those ones related to reflexive sessions, as well as to documental researches and semi-structured interviews. These spaces have afforded the group of alphabetizers the opportunity to talk over their practice, not only individually but also collectively, in order to work out contributive proposals having in view changes in the educative actions. As elaborated contributions, we present a discussion about the specificities in the making of educators to EJA, in their differentiated social roles. Reflecting on the experiences of the educators makers, we highlight those elements we regard as essential to the constitution of a formation proposal, like formative times and spaces, dialogue and social memory. The curricular organization is compreneded as part of an enlarged dimension that does not restraint itself to school; rather, it is visualized as a structuring instance that connects different knowledge surpassing community and university. Under this optics, we come to the conclusion that the connection the scientific knowledge establishes with the experienced one, which is immersed in the cultural practices of those who are involved in the formative process, is the basement to a curricular proposal of a formation course destined to educators committed with the need of changing society

A colocação de pronomes clíticos em sentenças infinitivas preposicionadas na escrita brasileira dos séculos XIX e XX

In this work we present the description and analysis of the clitics collocation patterns in prepositional infinitive sentences within the Brazilian writing in the centuries XIX and XX. The corpus in analysis is comprised of letters of newspaper readers and newspaper writers, as well as of advertisements (ads) taken from Brazilian newspapers from different regions / states – Rio de Janeiro, Bahia, Ceará and Pernambuco – and written in the Centuries XIX and XX. They belong to the common minimum corpus of the project named Projeto para a História do Português Brasileiro (PHPB or Project to the History of the Brazilian Portuguese, in English). Its analysis is based on theoreticalmethodological postulates of the Theory of Variation and Change (WEINREICH; LABOV; HERZOG, 1968[2006]; LABOV, 1972[2008]); on the Theory of Principles and Parameters (CHOMSKY, 1981, 1986) and on the model of Grammar Competition (KROCH, 1989; 2001). By trying to articulate those presuppositions from both the theories we present a proposition of theoretical interface between the Variation Theory and the Grammar one. Concerning the empirical results achieved by means of this research, we could figure that, in the context in which there were prepositional infinitive sentences, the most significant independent variable to the occurrence of the proclisis is the type of preposition that comes before the verb in the infinitive. Before that, we found out that there are prepositions which strongly direct the proclisis, as it is the case of the prepositions in Portuguese sem, por, de and para, with all of them presenting Relative Weights over 0,52. Another important result is the one attested in the data referring the state of Rio de Janeiro (RJ). This state is the only one of the sample which is located in the Southeastern region and also presents itself as the main proclisis conditioner amongst the localities pertaining to the sample. In order to explain those results, we raised the hypothesis that the proclisis implementation may be more advanced in the Southeastern than in the Northeastern Brazil, however that hypothesis must be confirmed or refuted in future works. We also present, in this work, a theoretical explanation about the clitics colocation in prepositional infinitive sentences within the Brazilian writing in the XIX and XX centuries. The theoretical explanation we found to interpret the achieved results associates Magro’s proposition (2005), regarding the existence of prepositions occupying the nucleus PP and the existence of prepositions which can play the role of a completer and occupy the nucleus CP, according to Galves (2000; 2001), regarding the existent relation between the clitic colocation and the association of traits-phi to the functional categories COMP, Tense and Person. Our proposition is that the occurrence of prepositions which occupy the nucleus CP causes changes in the values attributed to the traits-phi and to the strong Vtraits in the functional categories COMP, Tense and Person. Thus, we defend that proclisis in Brazilian Portuguese (BP) is derived from the movement of the verb to the functional category tense in which there is the association of traits +V and traits +AGR, what legitimates the proclisis according to Galves´s proposition (2000; 2001).