Constructive mathematics is a branch of mathematics that emphasizes the construction of mathematical objects and the explicit methods used to prove their existence. Unlike classical mathematics, which often relies on non-constructive proofs, constructive mathematics requires that one can provide a method to actually construct an example when claiming that something exists. In constructive mathematics, the focus is on algorithms and computability, aligning closely with the principles of intuitionism and computability theory. This approach has implications in areas such as type theory and constructive analysis, where the validity of mathematical statements is tied to their ability to be effectively demonstrated.