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Teaching Math

Three Necessary Elements

When you are teaching math, no matter what the level - addition or calculus, there are three different aspects that should all be included. Make sure your math lesson plans cover each of these. You can think of them as the “what to teach."


MEMORIZATION of arithmetic and geometric facts, rules, formulas, and procedures. For example, you learn how to multiply fractions. Children must memorize the basics before advancing to higher level skills. You don't want them spending time figuring out simple operations when they should be focusing on the higher level analysis. Make sure your homeschool math program provides plenty of practice on "the facts." Find out why educational math games are a great way to provide extra practice on the facts.

Cuisinaire, math

UNDERSTANDING of facts, rules, formulas, and procedures. For example, you learn why you invert and multiply when dividing fractions. This should be taught as the student is ready. Manipulatives (blocks, Cheerios, poker chips) are often effective in explaining the “whys” of fundamental skills. They provide a concrete model for an abstract idea which is great especially for young learners.

math, application, homeschool

APPLICATION of facts, rules, formulas, and procedures in practical ways, sometimes this is called problem solving. A homeschool math program should provide plenty of opportunites for application. For example, you learn that to figure out how much sugar to use in a halved recipe that originally calls for 3/4 cup of sugar. Problems should be challenging and level appropriate.

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