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A investigacao contou com um instrumento de coleta de dados subsidiadas pelas ideias de Raymond Duval relacionadas a aprendizagem da algebra, aplicado a 115 alunos do 7o e 8o anos de escolas do estado do Parana no Brasil. Foi analisada uma das questoes do instrumento relacionada a ideia de que nao sao as letras que sao importantes, mas as operacoes discursivas de designacao dos objetos feitas por meio da lingua natural ou formal. Os resultados encontrados revelaram formas de designacao e redesignacao diretas e verbais em linguagem natural, numerica ou algebrica ou indiretas e descritivas que implicaram na utilizacao de letras com utilizacao de lexicos associativos e, dessa forma, a identificacao da atribuicao de significacao a essas letras pelos alunos.  The present research used a data collection instrument subsidized by some of Raymond Duval's ideas related to learning algebra. The instrument was applied to 115 students from the 7th and 8th years in the state of Parana, in Brazil. One of the questions of the instrument was analyzed in relation to the idea that it is not the letters that are important, but the discursive operations of designating objects, which are made through natural or formal languages. The results revealed specific forms of direct and verbal designation and reassignment in natural, numerical or algebraic language or, indirect and descriptive that implied the use of letters through a process of associative lexicons and, therefore, the assignment of meaning to such letters by students.

educação matemática pesquisa

A importância da função discursiva de designações de relações algébricas para o desenvolvimento do pensamento algébrico&lt;br&gt;The importance of the discursive function of algebraic relations designations for the development of algebraic thought