Today we all know that benefits of math are considerable. Math is not a subject one learns by reading the problems and solutions. American children have very little practice with multi_step problems, and very few opportunities to think their way in to and through problems that don't look like 'all the others'. With a packed curriculum and the increased emphasis on testing, our children are taught tons of procedures _ but procedures disconnected from when to use them, and why. Sustained thinking _ the key ingredient to math success _ is painfully absent in too many math classes.
The Effect _ Most of even beginning algebra depends on being able to do two things__one, doing multiplication quickly and accurately in your head, two, knowing how to add, subtract, multiply, and divide fractions. You might remember a concept in algebra called "factoring." Factoring means breaking up into parts that are multiplied together to give you the whole. You can factor numbers. For instance, 6 factors into 2 and 3_θx3 =6. In elementary algebra we learn to factor expressions such as x^2ƲxƲ. This particular expression is easily factorable into (xư)^2. If this doesn't make any sense to you, don't worry about it. Just trust me, if you don't know your multiplication tables, you can't factor. If you can't factor, you won't do well at all in algebra, geometry, or trigonometry.