The study of mathematics has a bad reputation. How many times have you heard someone say, “I hate math,” or “I’m no good at math”? Maybe you’ve even said it yourself.
If you are a lover of numbers, equations, and statistical data, you are in the minority. Many employers today are looking for employees who don’t shy away from the realm of mathematical thinking. Even if you despise your algebra homework, you can still learn to think like a mathematician. Here’s how.
Be specific
In order to find a logical solution to your problem, both in the study of mathematics, or in real life, it is helpful to redefine your problem into the most precise terms possible. In order to be more specific, try asking yourself detailed questions about the problem you are trying to solve. What is the result you are looking for? Can you form an equation? For example, instead of willing yourself to study for an exam in order to receive a good grade, ask yourself, “How long will I have to study each night to get an A on my dual credit history exam?” Once you have framed your question in specific terms, the answer becomes more logical.
Be hypothetical
Mathematicians love that there is no ambiguity when it comes to solving mathematical problems. More often than not, the answer is right or it is wrong. Even problems with many answers must be solved logically. In real life situations, you can easily solve problems hypothetically in order to predict outcomes. Do the equations you have formed make sense to you? Try making the question in the above example into a statement, “If I study for 15 minutes each night, will I get an A on the dual credit exam?” "What if I study for two hours each night?" This problem will be answered differently for each person, but by forming a statement with hypothetical answers, you will have a better understanding of the direction you are heading.
Communicate
Like speaking and writing, mathematics is a form of communication. Learning to explain your reasoning fosters collaboration and forces you to think clearly. This allows you to understand your subject matter more deeply and to test out your theories with others. As you become better at communicating more specific ideas, your ability to find mistakes in your thinking will also improve. Communication is the real-world manifestation of “showing your work” on an exam. Don’t just give the answer; tell us how you got there.
Mathematical thinking takes practice, but it enables you to articulate your ideas, draw conclusions, and expand on previously learned knowledge. Who knows, maybe you’ll even learn to love algebra in the process.
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