Metodologia de ensino do conceito de função exponencial à luz da teoria das situações didáticas

This essay presents a proposal on methodology over the mathematical object Exponential Function which enables the development of interpretative and creative skills with potential meaning to the students starting from a didactic sequence structured on the light of The Theory of Didactic Situations from Guy Brousseau and, from the Records of Semiotic Representation of Duval, providing interactions among the students, the teacher and the environment of cooperative learning where the students feel free to express their own ideas as well as to suggest their own approaches. The methodology presented has been developed according to the students first knowledge, valuing their different ways of registering, which have such an important role during the teaching and learning processes. The proposal has been applied to the students from the first year of high school of Colégio Estadual José de Anchieta Ensino Fundamental e Médio, located in a town called Dois Vizinhos –Paraná. In order to the development of the research the methodological tool Didactic Engineering Artigue which consists in a methodology developed only to the research with didactic situations. The main goal has been reached at first, which was to work on the conceptual part of the Exponential Function, the relation of dependence and its main characteristic so that the variable part is in the exponent. Moreover with no imposition but starting from suitable didactic situations, the students were able to realize that they could solve the problems which involve the exponential function and furthermore create new problems (according to their universe) modeled by this kind of function. Its believed that the methodology based on the theory of didactic situations, analysis of students registers, observation on mistakes and obstacles as well as reflections over the aspects of the didactic contract are of fundamental importance to the teaching practice and determinant during the teaching-learning process.

Aspectos do desenvolvimento da experiência docente na educação superior: um estudo sob a ótica da teoria dos gêneros de atividade

This analysis introduces results related to development of teaching experience from two professors of one Federal University who have taken part of one action of continued teacher training. We consider that the interplay among the individual, the language and the world cannot function straightly. It occurs through utterances, defined like real unit discursive communication, and genres of discourse (BAKHTIN, 1979/2011). Along the same line, the relation between the employee and his employment do not occur in a direct manner. This relationship takes place through genres of activity (CLOT, 2008/2010). As well as, a domain of speech genres has given possibility to individual an interaction with several discursive fields, a domain of activity genre allows the professional protruding in difficult situations traced in his employment. We know that the drafting for wield the teaching in the Tertiary Education is recommended by LDBEN (9394/96), which suggests that should be done in postgraduate program. In the mean time, what frequently happens an educational background based in a survey and not in the teaching. Thereby, several times we have observed difficulties in the accomplishment of teaching practice. Considering such aspects, this study seeks to comprehend the manner how the lecturers deal with the difficulties encountered in the classroom and how the years of experience have contributed or not for a domain of activity genre. In this regard, we have propped up in the development approach, introduced by Vigotsky, who asserts that the learning suitably organized results in development (VIGOTSKY, 1984/2007) and still explains the development of individual on the basis of relationship that it has with another, the social (VIGOTSKY, 1996b). For this purpose, were accomplished, by means of a snipped filmed lesson from each teacher, four sessions of self-confrontation (FAÏTA, 1996; CLOT, 2008/2010), two Simple and two Crusade, recorded in a visual format. This material was transcribed in accordance with standards from project NURC-SP (PRETI, 1999). For the analysis, we used three mains theories: of Linguistic, is mobilized the concept of speech genres (BAKHTIN) and all discursive topics (JUBRAN; FÁVERO); from Occupational Psychology, is utilized the activity genres (CLOT); from Psychology Historical-Cultural, is adopted the concept from Zone of Proximal Development and another/social in the development of individual (VIGOTSKY). In compliance with the study achieved, was possible to identify the aspects related to development of teaching experience of Tertiary Education. During the classes and reports of self-confrontation, we identify that both the professors, in the beginning of the career, they got more difficulties to deal with hindrances, and which now, with some years of experience, they get to domain better the difficult situations which they come across. They built up, for example, a greater facility in improvise examples in face of students’ difficulties in the comprehension of concepts. These aspects show that the professors have evolved the higher domain of genre, which allow them getting, in addition to turn the unexpected situation around that spring up in the professional context, as well know how to taking action in similar situation, which they have already run into in another moments. This domain enabled and enables the developing of the lecturers over the course of their professional performance.