Uma visita ao universo matemático de Lewis Carrol e o (re)encontro com sua lógica do nonsense

Notable mathematics teacher, Lewis Carroll, pseudonym of Charles Lutwidge Dodgson (1832-1898), made the mixture of mathematics with literature a ludic environment for learning that discipline. Author of Alice s Adventures In Wonderland and its sequel Alice Through The Looking Glass, he eventually created a real and complex universe which uses what we call the logic of the nonsense as an element to motivate the development of mathematical thinking of the reader, taking it as well, learn by establishing a link between the concrete (mathematics) and the imaginary (their universe). In order to investigate and discuss the educational potential of their works and state some elements that can contribute to a decentralized math education from the traditional method of following the models and decorate formulas, we visited his works based on the studies of archeology of knowledge (FOUCAULT, 2007), the rational thought and symbolic thinking (VERGANI, 2003) and about the importance of stories and narratives to the development of human cognition (FARIAS, 2006). Through a descriptive, analytical study, we used the literary construction and presented part of our study in form of a mathematical novel, to give the mathematical school a particular charm, without depriving it of its basics properties as discipline and content. Our study showed how the works of Carroll have a strong didactic element that can deploy in various activities of study and teaching for mathematics classes

Mala na mão, pé na estrada: à procura de uma pedagogia das singularidades

We make many journeys during our lifetime. In each of them we accumulate experiences that result in an amount of knowledge that constitutes our history. The dissertation presents one of these journeys: that one I took along with students of Pedagogia da Terra project from Universidade do Estado do Rio Grande do Norte UERN to think about the knowledge within their memories in their way from countryside to city seeking for education. I used as main references to this task the ideas of Edgar Morin about Method as Strategy, implication of the subject in knowledge, pertinent knowledge, and knowledge reconnection. And from Paulo Freire I used the concepts of cultural identity assumption and dialog. I built as resource of method the metaphor of the suitcase, called by me the trunk of memory treasures . The use of this cognitive operator makes possible for those students bring their memories to the surface and share them collectively, by the process I name as auto-social- biographical narratives. The explicitness of the memories they choose to reveal by means of these narratives permitted me to understand the metamorphosis of these knowledge since their childhood to nowadays. In order to present an archeology of knowledge within these life histories I chose a narrative writing style concerned with simplicity and lightness, where I use the description of facts and discussions occurred during this journey. My main arguments in systematizing this experience are: scientific production can and should be grounded on knowledge diversity and on a more sensible approach to phenomena; education and pedagogy need to take as starting point and fuel for their practices the singularities of the subjects, their life history, educational background and knowledge resulting from both. Teacher s formation programs which students have mixed, rural and urban, background should value cognitive experiences built in the interaction with that knowledge closer of a sensible logic, deeper grounded in land and nature. Doing so, education can contribute to join diverse knowledge against monocutural forms of thinking and educational practices