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The study is a theoretical proposition that aimed to categorize, in degrees of nonsemantic congruence, the conversions between two-dimensional geometric registers and the fractional symbolic of rational numbers, being a clipping of the doctoral thesis of [17]. For this we adopt as categories of analysis a classification of the semiotic representations belonging to the two-dimensional geometric register; the figurative units, which were defined from the variables, visual, dimensional and qualitative; the types of geometric seizures required by the geometric figures at the time of conversion; the symbolic units of the arrival register and the criteria of semantic congruence. The proposed categorization relies on six degrees of non-semantic congruence in the conversions between two-dimensional and symbolic fractional symbolic registers of rational numbers.

intermaths

Proposição de graus de não congruência semântica nas conversões entre os registros geométrico bidimensional e o simbólico fracionário dos números racionais