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Levando em conta a teoria dos registros de representacoes semioticas de Raymond Duval, sobretudo em relacao a abordagem de interpretacao global de propriedades figurais, as funcoes discursivas da linguagem e a operacao semiotica e cognitiva de conversao, neste trabalho, proporemos analisar os registros em lingua natural das superficies quadricas (nao cilindricas e nao degeneradas) presentes em livros do Ensino Superior. Tais analises evidenciaram que esses registros pesquisados recorrem, mesmo que nem sempre de forma explicita, a variaveis visuais e a propriedades globais das figuras e que apresentam potencial para contemplar diversas funcoes discursivas, tais como, a apofântica que reflete a capacidade de designacao de algo sob a forma de uma proposicao matematica, a expansao discursiva que permite ligacoes entre proposicoes matematicas de forma coerente alem da operacao de conversao. Ao adicionarmos a essa discussao o Principio de Extensao de Bento de Jesus Caraca, indicaremos possibilidades do uso de novos registros para as conicas. Taking into consideration Raymond Duval's theory of the records of semiotic representations, especially in relation to the global interpretation approach of figurative properties, the discursive functions of language and the semiotic and cognitive operation of conversion, we propose to analyze the records in natural language of the quadric (non-cylindrical and non-degenerated) surfaces present in Higher Education books. Such analyzes have evidenced that these researched records recur, although not always explicitly, to visual variables and to the global properties of the figures and that present the potential to contemplate several discursive functions, such as the apophantic, which reflects the capacity to designate something under the form of a mathematical proposition, the discursive expansion that allows connections between mathematical propositions in a coherent way, in addition to the conversion operation. When we add to this discussion Bento de Jesus Caraca’s Principle of Extension, we indicate possibilities of using new records for the conics.

educação matemática pesquisa

Registros em língua natural das superfícies quádricas: análise semiótica e possibilidades de uso de novos registros&lt;br&gt;Records in natural language of quadric surfaces: semiotic analysis and possibilities of using new records