Its laws were invented to help make sense of the universe, and are descriptive, not prescriptive. Reasoning and thinking are imaginative in that those concepts which are not directly grounded in experience employ metaphor and mental imagery. Thought and concepts have gestalt properties. They have structures that go beyond putting together building blocks. It is logical, consistent and beautiful.
Mathematical laws govern the universe.
Mathematics is inherently sequential and most of the fundamentally important discoveries have already been made. Though Pure Mathematics has led to useful discoveries, much of the impetus has come from the physical sciences. In the last couple of decades there has been an explosion in new mathematical knowledge. One learns mathematics by practicing logical reasoning on traditional problems. The essentials of a mathematics curriculum is pre-defined.