It is very common to observe in teaching materials and even in teachers´ discourse the use of negation as an essential element in the teaching of mathematics. Negation is present, for example, in counter-positive propositions, in non-examples, in counterexamples and in complementarity. This article discusses the possible uses of negation and how these forms of negation can be not only be supported by Duval´s registers of semiotic representations, but also find paths to the learning of mathematics.
Negation; Counterpositive; Counterexample; Non-example; Complementarity; Registers of semiotic representations; Learning mathematics