The theory of learning concerns the reception and understanding of a large, logically structured body of mathematical knowledge, and the modes of thought associated with it. The successful learner internalizes the pure conceptual structure of mathematics : a hierarchical network of concepts and propositions interconnected by logical links, mathematical relationships and fundamental ideas, mirroring the organization of mathematics. Properly learned, mathematical knowledge allows the learner to solve mathematical problems and puzzles. Students are expected to come up with different approaches and methods, in applying this knowledge, according to their talents and ingenuity.