13/08/2017
"True mathematics is not a process of memorizing formulas
and applying them to problems tailor-made for those formulas. Instead, the successful mathematician
possesses fewer tools, but knows how to apply them to a much broader range of problems. We
use the term “problem solving” to distinguish this approach to mathematics from the ‘memorizeuse-forget’
approach.
We use math to teach problem solving because it is the most fundamental logical discipline. Not
only is it the foundation upon which sciences are built, it is the clearest way to learn and understand
how to develop a rigorous logical argument.
Problem solving is crucial in mathematics education because it transcends mathematics. By
developing problem solving skills, we learn not only how to tackle math problems, but also how to
logically work our way through any problems we may face. The memorizer can only solve problems
he has encountered already, but the problem solver can solve problems she’s never seen before. The
problem solver is flexible; she can diversify. Above all, she can create."
- Richard Rusczyk (Art of Problem Solving)
