34 documents found, page 1 of 4
Identifying mathematical reasoning levels in initial teacher training: a GeoGeb...
Sousa, Renata Teófilo de; Alves, Francisco Régis Vieira; Aires, Ana Paula FlorêncioThis work aims to identify different levels of construction of mathematical reasoning in students of initial formation, in the resolution of a didactic situation about the study of the parabola with the support of GeoGebra. The theoretical support was the Theory of Didactic Situations, considering the levels of mathematical reasoning related to its dialectical movement, together with Didactic Engineering, as a ...
The teaching of conic parabola: an approach via Intuitive Categories and Theory...
Sousa, Renata Teófilo de; Alves, Francisco Régis Vieira; Aires, Ana Paula; Catarino, Paula Maria Machado CruzThis work is the result of an experiment carried out during a master’s course in Brazil, which discusses the teaching of the parable and its particularities in the initial training of undergraduate students in Mathematics. With regard to the teaching of conics and, in particular, the parable from the perspective of Analytical Geometry, there are few applications seen in the classroom, both in Basic Education an...
Recurrence and linear sequences: a three-dimensional visualization with support...
Alves, Francisco Régis Vieira; Pinheiro, Carla Patrícia Souza Rodrigues; De Sousa, Renata Teófilo; Catarino, Paula Maria Machado CruzThis article is an excerpt from a master's thesis developed in Brazil, in which we approach recurrent and linear sequences, given some intriguing particularities in their definitions and the scarcity of discussion of this topic in the literature of the History of Mathematics, especially with regard to its geometric representation. Thus, we aim to present the identities of Fibonacci, Lucas, Jacobsthal and Padova...
O ensino da cônica parábola: uma abordagem via categorias intuitivas e teoria d...
de Sousa, Renata Teófilo; Alves, Francisco Régis Vieira; Aires, Ana Paula; Catarino, Paula Maria Machado CruzEste trabalho resulta de um experimento realizado no decorrer de um curso de mestrado no Brasil que discute o ensino da parábola e suas particularidades na formação inicial de licenciandos em Matemática. Com relação ao ensino das cônicas e, em particular, a parábola pelo viés da Geometria Analítica, poucas são as aplicações vistas em sala de aula, tanto na Educação Básica quanto no Ensino Superior no contexto b...
Categories of intuitive reasoning in the teaching of parabolas: a structured pr...
de Sousa, Renata Teófilo; Alves, Francisco Régis Vieira; Aires, Ana PaulaThis work is the result of a pre-experiment carried out as part of a master’s course, dealing with the study of the parabola through different mathematical views. It aims to recognize possible didactic obstacles in its teaching, based on intuitive manifestations in the resolution of a didactic situation based on GeoGebra software. The methodology adopted was didactic engineering in its four phases, experimented...
Didactic Engineering for the relationship between the area of plane figures (po...
da Silva, José Gleison Alves; Menezes, Daniel Brandão; Alves, Francisco Régis VieiraThe present study presents a proposal for the teaching of geometry aiming at a defragmentation of the relationship between areas of plane figures (polygonal bases) and the volume of geometric solids (prisms). In this sense, the objective of this article is to develop a study based on Didactic Engineering (DE), aiming at the construction of didactic sequence supported by the assumptions of the Theory of Didactic...
Situação Didática Olímpica sob a perspectiva da Teoria das Situações Didáticas:...
SIlva, José Gleison Alves da; Alves, Francisco Régis Vieira; Menezes, Daniel BrandãoEste artículo tiene como objetivo presentar una Situación Didáctica Olímpica desde la perspectiva de la Teoría de Situaciones Didácticas a los profesores que enseñan matemáticas. Estructuramos nuestra investigación en base a las etapas de la Ingeniería Didáctica, sin embargo, debido a que tiene un enfoque en la formación inicial del docente de Matemáticas, usamos la terminología Ingeniería Didáctica de la Forma...
UMA EXPERIÊNCIA DA ENGENHARIA DIDÁTICA NO PROCESSO DE HIBRIDIZAÇÃO DA SEQUÊNCIA...
Mangueira, Milena; Vieira, Renata Passos Machado; Alves, Francisco Régis Vieira; Catarino, Paula Maria Machado CruzFrente a las investigaciones relacionadas con la enseñanza de secuencias numéricas, existe interés en acercarse a la secuencia de Leonardo aplicada a números híbridos, notando que hay poco abordaje en la literatura matemática y en el área de la enseñanza. El estudio se basó en la enseñanza sistemática del proceso de hibridación de la secuencia Leonardo, con base en la Ingeniería Didáctica y la Teoría de Situaci...
Professional didactics and mathematics teacher training: a systematic review of...
Fontenele, Francisca Cláudia Fernandes; Alves, Francisco Régis VieiraThis study presents Professional Didactics as a theoretical subsidy to the analysis of teaching work, with a view to improving the professional training of teachers. It brings reflections on its contribution to teacher education, with the general objective of knowing the research on professional didactics linked to teacher education in mathematics developed in Brazil. To this end, a study was initially carried ...
Approach to Professional Competence From a Professional Learning Perspective: A...
Cidrão, Georgyana Gomes; Alves, Francisco Régis Vieira; Acioly-Régnier, Nadja MariaThis work is a survey of scientific articles produced in Brazil from 2009 to 2019. It aims to present an overview of articles that address the notion of competence based on the assumptions of Professional Didactics in teacher education. The methodological process was about a bibliographic research of the state of the art type. The criteria established during the choice of the five articles were in the respectiv...