7 documents found, page 1 of 1
On the Leonardo quaternions sequence
Beites, Patrícia Damas; Catarino, Paula Maria Machado CruzIn the present work, a new sequence of quaternions related to the Leonardo numbers – named the Leonardo quaternions sequence – is defined and studied. Binet’s formula and certain sum and binomial-sum identities, some of which derived from the mentioned formula, are established. Tagiuri-Vajda’s identity and, as consequences, Catalan’s identity, d’Ocagne’s identity and Cassini’s identity are presented. Furthermor...
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...
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...
Hybridization of triangular numbers: a preliminary and a priori analysis on vis...
Barros, Francisco Evamar; Alves, Francisco Regis Vieira; Mangueira, Milena Carolina dos Santos; Vieira, Renata Passos MachadoThis paper discusses the first two phases of Didactic Engineering, supported by the teaching theory, Theory of Didactic Situations, with the aim of developing a study about the hybridization process of triangular numbers, through teaching didactic situations based on the first two Didactic Engineering phases. Considered absent in many contents explored in the area of teaching and in the History of Mathematics, ...
Professional Didactic Situation: an example of application of the Professional ...
Alves, Francisco Regis Vieira; Catarino, Paula Maria Machado CruzThe Professional Didactics, originated in France in the 1990s, has its foundations and original interests addressed to the phenomena of adult learning, with a special and nuanced look at the work scenario, developed in and from work. The Professional Didactics has a different perspective for the understanding of cognitive phenomena and their evolution through a professional situation. On the other hand, the Did...
An Exploration of the Padovan Sequence in a Mathematics Degree Course
Vieira, Renata Passos Machado; Alves, Francisco Regis Vieira; Catarino, Paula Maria Machado CruzThe article reports a teaching experience using the Didactic Engineering (DE) methodology applied to the teaching and exploration of the Padovan Sequence. This experiment was conducted in a Mathematics undergraduate class in Ceará-Brazil and has the participation of five students. A questionnaire containing three problem situations was elaborated, from which the resolutions of these teachers information were an...
Modeling and Simulation of filling containers using modellus
Soares, Armando da Assunção; Catarino, Paula Maria Machado CruzThe modeling of filling containers with different shapes is a very interesting problem, both from the point of view of physics and mathematics, which can be exploited both in areas of formal and non-formal education. The analysis of the graphs that represent the evolution of the height of the free surface of a liquid versus time is presented as a challenge not very easy for most students who enter the universit...