How to Become Mathematically Proficient

Whether you’re in grade school or pursuing higher learning, there’s always time to boost your mathematical prowess. The National Research Council defines mathematical proficiency as one’s ability to excel in five aspects of mathematics – conceptual understanding, procedural fluency, strategic competence, adaptive reasoning and productive disposition. The path to improving on these areas involves careful study, consistent practice and practical application.
  1. Learn Mathematical Terms

    • Every field of study employs specific terms to describe its methodology. Learn the mathematical terms, their definitions and any related concepts before diving into the problems. For example, when working with fractions, you'll need to understand the difference between a numerator and a denominator. Write each word on one side of a note card. On the back, write the corresponding definition. Practice with these cards until you've expanded your vocabulary.

    Find Practical Applications

    • Along with the new terms, you should learn the practical reasoning behind each mathematical method. For example, if you can’t list practical applications of multiplication skills, you may feel as if you’re memorizing multiplication tables for no reason. Try to put your skills to practical use as often as possible. For example, you can attempt to find your grade average for a class or estimate your taxes for the next year. In addition, practice solving word problems, which typically ask you to apply skills to realistic situations.

    Write Out Problems

    • Calculators are excellent tools for when you need you need quick and accurate answers. However, as you aim for mathematics proficiency, set the calculator aside. Practice solving problems on paper or in your head. Use the calculator to check your work and confirm answers. Eventually, you’ll gain confidence in your ability to work without a calculator.

    Consult a Tutor

    • Seek out a tutor to help you boost your math skills. A tutor can assign problems for you to work on or guide you through the steps of a current homework assignment. If you need to sharpen skills that you previously learned, some community colleges offer refresher courses that cover the basics. The Internet also offers an abundance of resources. You will find practice problems and detailed answers to support your lessons.

    Write Neatly

    • Improve your handwriting. Your writing should be neat enough for others to follow your work. A tutor can only provide feedback if your work is legible. It’s also important for you to understand your own writing. If you arrive at the end of a problem and discover you’ve made a mistake along the way, you must be able to retrace your steps.

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