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

O ensino de matemática no Rio Grande do Norte: trajetória de uma Modernização (1950-1980)

This work aims to describe and analyze the process of the mathematics teacher modernizing in Rio Grande do Norte, in the period from 1950 to 1980. For that, we use as theoretical foundation assumptions of Cultural History and memories of the researchers Maurice Halbwach, Ecléa Bosi and Paul Thompson. As methodological tools, we used bibliographical resources and semi-structured interviews, in order to do a historical reconstruct of the mathematics educational scene of institutions and people who taught mathematics in Rio Grande do Norte, or those who participated in the modernization of the teaching of this subject, recovering their training and its practices in teaching. For the analysis of the bibliographical resources, initially we organized in a systematic way the transcripts of the interviews and documents, which were accumulated during the research, so long our thoughts, returning to the theoretical basis of this research, through questioning of knowledge acquired and that guided the problem of our study. The analysis showed that, important moments to modernize the teaching of mathematics in Rio Grande do Norte happened such: (1) Training Course of Lay Teachers in Rio Grande do Norte, in 1965, (2) Course for Teachers in Normal Schools, in 1971 (3) Satelite Project on Interdisciplinary Advanced Communications (SPIAC) in 1973; (4) Lectures of the teacher Malba Tahan, at Natal, from the end of the 50 s, that could be analyzed through the lessons notes of the teacher Maria Nalva Xavier de Albuquerque and the narrative of teacher Evaldo Rodrigues de Carvalho and (5) Courses of the Campaign for Improvement of Secondary Education and Broadcasting (CISEB). Thereby, the modernization of the school s mathematics teaching in Rio Grande do Norte, in the period from 1950 to 1980, was given mainly by disclosure of the Discovery Method and by the Set Theory contents in Teacher Training Courses

Dimensões e universo das representações sociais de educação ambiental por discentes em Garanhuns-PE

The research aimed at investigating the dimensions and the universe of social representations of environmental education, as well as identifying the senses and meanings Environmental Education. This study admitted as presumption the education and environment dimensions. In this investigation was adopted as reference the dimension or representation scope of Moscovici. One hundred and twenty (120) students from Public Schools of Basic Education participated of this study and moreover three hundred and twenty-three (323) from Higher Education in the area of the UPE-FACETEG. The following questions were admitted: 1) What are the dimensions/categories that exist in the semantic scope of social representations of the environmental education? 2) What are the senses and meanings of environmental education? 3) The student s representations of Basic Education are similar or different from the Higher Education? The software EVOC helped in the organization of semantic scope for construction of the categories, with support of the contents analysis. The justifications are sorted on lexical classes using the software ALCESTE, through of the speech analyses. The free association of words answered the question dimension/categories and its semantic scope, being: a) Nature/Environment; b) values; c) Attitudes; d) Actions; e) Implications; f) Mediation. Six lexical classes were found with its meanings enumerated in this way: 1.Awareness, as a factor of belief for the preservation of nature and society. The students are clamoring for environmental education in the school, emphasizing the importance of awareness in the development of the respect to the environment linking the education and family; 2. The consciousness-knowledge relationship for the environment-nature preservation. 3. The environment and human interventions, in search of indicators of solutions. 4. Nature /background/ environment and its constituting elements, a thinking of values and an acting for mediation. 5. The human-nature interaction in social representations of environmental education and the symbolic-life size. 6. Nature / environment /, values, attitudes, actions, implications, and mediation in nature-man relationships. The groups more representatives according to these lexical classes were, the Basic Education in the class-4, represented exclusively by the Primary and Secondary Education and the class-6 represented by both two the Basic Education (47,37%) and the Higher Education (52,63%) - History, Pedagogy, Psychology, Mathematics, Language and Literature. The classes 4 and 6 are related to the class-3 which in turn is formed by students of Higher Education (Mathematics, Biology, Pedagogy, Psychology, Language and Literature) and Basic Education (Primary and Secondary Education). The Higher Education is most represented by the lexical classes (1, 2 and 5). The class 2 corresponded to 80% of the researched groups. In the class-1 the biggest representation was concerning to the Psychology, Geography, Biology and Language and Literature courses, whereas the class-5 was best represented by Psychology, Biology, Pedagogy, Language and Literature, Geography and History. From the results, one may conclude that the imagery is nature/environment; that life is the symbolic dimension that permeates the whole imaginary, and that preservation, awareness and respect are inserted in the speech that circulate to protect life

Utilizando processos geométricos da história da matemática para o ensino de equações do 2º grau

The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2° degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School José Martins de Vasconcelos, located in the municipal district of Mossoró, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal