Finding the Tools to Solve Problems

Match the math problem to the tools

When I first launched into my career as a mathematician, I was driven by love of the subject. I found math to be fun, exciting, and challenging. I was able to solve problems without consciously thinking about what was involved.

But not everyone shared my passion. As I acquired life experience I began to learn about myself and why others had a different experience. I dissected my experience and took it apart to understand the components.

Every system of mathematics is based upon 4-5 assumptions. If one of the assumptions turns out to be false, the entire system collapses. So it's important to understand what the assumptions are.

Tools are important. They're known as the Principles of Mathematics. They define the rules-of-the-road to solve problems. For example, using the Associative Law for Multiplication:  ab = ba. Wow. Now the Times Table becomes much less challenging. There's less to learn!

Patterns are important too. In a word problem, the first thing we do is ask: "What's the question? What do we need to provide in the answer?". Then we identify a pattern or type of problem. Next we ask: "What are the constants? What are the variables?". That's where patterns and our tools converge. We begin to recognize the tools we need to solve this type of problem! Contact us!