Pavimentações do plano: um estudo com professores de matemática e arte

Pós-graduação em Educação Matemática - IGCE

Matemática e Arte: interdisciplinaridade

The objective of this study is to perform a theoretical study of the possible relationship between mathematics and art. For some people, the association between these fields of knowledge may simply seem absurd, possibly because they do not know what is in common between an area considered rigorous, rational, objective, and a more emotional, intuitive, subjective. In this context, interdisciplinarity has an important role, in proposing the contextual integration between the subject content, such as projective geometry and the renaissance. Are also presented as examples of this union, the technique of Moses and the geometric patterns of indigenous crafts, as well as the work of artist Maurits Cornelis Escher, a legitimate representative of the relationship between art and mathematics

Matemática e arte: incursões na interdisciplinaridade

The complex analysis is, in actuality, a fundamental mathematical object, given its applicability to various areas of science. This paper proposes a more interesting intertwining of mathematical content to the Visual Arts, through computer graphics. The presentation of aesthetic standards, using the “domain coloring” for viewing a complex function, shows that algebraic and geometric properties can be “colored” which makes its study more human, contextualized, pleasant and dynamic, leading to greater ability to understand, to absorb and to create concepts. This work shows the contribution to the interdisciplinarity to study of mathematics.

A lógica matemática da arte ornamental: uma relação de equivalência a partir da estrutura atômica dos cristais

Based in aesthetic relationship between concepts of content and form intends to establish an relationship of analogy between ornaments and crystals. With the objective of building an theoretical investigation of relating the dynamics that happens in the crystals´ atoms to the symmetrical intervals of the ornamental patterns, it tries to draw a reasoning line that is going from the ‘Idea’ of Plato and ‘poiésis’ of Aristotle, until Hegel's philosophical enlargement, that admits the aesthetics as a science of the art integrated in a metaphysical process. Inherent to this question intends, in interrelation terms between aesthetics and metaphysics, content as being intelligent beginning, energy, and form as primitive element, matter, in order to evidence the possibility to calculate the same present symmetries in the ornamental arts like in the nature.

Origami e kirigami: arte e cultura como recurso lúdico e educativo

We can know a people through their cultural and artistic assets. One of the many aspects of Japanese culture is origami, a fusion of the verb “oru”, which means folding, with the word “kami” meaning paper. In this communication, we describe the course “Origami and Kirigami: art and culture as a recreational and educational resource”. The course aimed to present these two oriental techniques based on paper and its potential as a source of entertainment and education, at the same time seeking to introduce cultural aspects of these arts of folding and/or cutting paper. This practice is more common than we realize, and is present in our day-to-day life when we perform actions such as folding clothes and papers, and making packages, amongst others. However, few are aware of the benefits that this folding brings to the fields of Arts, Mathematics, and Science, besides its recreational characteristics. Kirigami is a mixed technique that in addition to using folds in the paper (as in origami) also uses cuts (“kiru” – meaning, “cut”). It can be performed with heavier paper than origami, and by introducing some cuts, the paper can be folded to form the desired shape. It is a simple technique, with impressive results. We conducted eight weekly meetings, each lasting four hours, totaling 32 hours of coursework. In addition to the classes, a visit was made to the Okinawa Club in Bauru (São Paulo), where it was possible for the students of the course and the elderly group (fujinkai) of origamists of the club to exchange experiences. Finally, an exhibition was organized to display the artifacts produced by the course participants and disseminate the work of the students.

Arte e educação: um estudo sobre as contribuições de Bertolt Brecht

O presente trabalho tem por objetivo apresentar um estudo documental concernente às relações existentes entre Arte a Educação; partimos da hipótese de que a primeira consagra-se enquanto objeto de pesquisa concomitantemente a sua legitimação enquanto fonte meritória de conhecimento, principalmente no que se refere à produção material da existência humana e as intrínsecas relações político-sociais engendradas por princípios e valores econômicos. Logo, este ensaio foi edificado sobre o alicerce do legado literário de um dos maiores intelectuais do século XX reconhecido na contemporaneidade: o dramaturgo alemão Bertolt Brecht – cuja significância da produção artística se manifesta no exercício da compreensão e análise crítico-reflexiva da função social e educacional da Arte no âmago da sociedade de classes.

El crescimiento poblacional: una propuesta pedagógica para abordar biologia, matemáticas y TICs

In this paper we propose the achievement of an interdisciplinary activity evolving biology and mathematics knowledge with students of the third grade of high school about the population growth theme. The goal of this activity is to offer to the students a wider perception about the ways of population growth of different organisms from their home region, helping them to represent it through mathematics models. The formulation of the research problem is done from the theoretical and empirical data and the student is encouraged to behave in a participative and dialogic way in all stages of the activity. The mathematical modeling and the graphic representation of the population growth are made through the mathematical software Geogebra and we emphasize the qualitative analysis of the data from the biological and environmental education point of view.

Movimentos que permeiam o devir professor de matemática de alguns licenciandos

Pós-graduação em Educação Matemática - IGCE

Alunos precoces com indicadores de altas habilidades/superdotação no Ensino Fundamental I: identificação e situações (des)favorecedoras em sala de aula

Pós-graduação em Educação - FFC

A Family of Stationary Solutions to the Euler Equations and Generalized Solutions

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estratos

This paper presents a diagram that was produced in the dissertation “Vibrations: Art/Education in Practice and Discourse within Mental Health” which was developed within the Arts Graduate Program at Unesp. From the archaeological perspective proposed by Foucault, it was sought to excavate strata or layers of knowledge built around the concepts of madness, subjectivity and art, in order to emphasize the historical transformations that these conceptions have undergone over time, through words and images.

Lewis Carroll, a educação e o ensino de geometria na Inglaterra vitoriana

Research partly motivated by Lewis Carroll's Euclid and his modern rivals (1879) portuguese translation, this paper presents some hermeneutical remarks taken as necessary to understand the context in which such book was produced. The paper focuses particularly on education, in general, and on the teaching of mathematics and Geometry in victorian England.

Un uso de la historia en la enseñanza de la didáctica de la Física

It is shown the result of design, implement and analyze an exercise for teaching of Didactics of Physics, based on the use of History of Science as an information resource and point of discussion. We start with two assumptions: (1) currently, in the international level there is a research field that studies the use of History, Philosophy and Epistemology of sciences on education of teachers, which present that this field allows to treat contents of Physics in nontraditional ways, that is to say, beyond to the mathematician vision; (2) one of the dimensions that should be worked on education of teachers, specifically in education for teaching, must be, the (re) connaissance of their disciplinary knowledge, through metacognitive exercises, for which History provides appropriate resources. In order to involve the future teacher in a metacognitive activity that would allow (re) visit some of their knowledge of Physics, we developed an exercise based on research results about the history of the light concept. We analyzed the potentialities of this exercise to educate for teaching.