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Probably the most important fundamental branch of mathematics is algebra. No matter what anyone tells you folks, if your kid is not good at algebra, there is no shot he will excel in any of the above sectors. In fact, the famous calculus is actually a form of “glorified” algebra and this is what I used to tell my college students all the time. Therefore, if you want your kids to have the opportunity to learn and enter the beautiful intellectual domain calculus, then be sure they have the tools to learn algebra.
Algebra is a branch of mathematics that deals with solving equations with letters to represent unknown quantities. The difficulty with algebra is that for most students in the many letters and symbols created abstract that it is difficult to see through clearly. After all, when you see a bunch of X and Y and other expression that includes a number of mathematical symbols, footing can quickly be lost and your head might start reeling off track. To fend off this experience, which I call “algebra syndrome,” students being taught algebra in a way that removes unnecessary abstraction and paves a clear-cut way through the fog of confusion.
If students are shown ways to deal with the inevitable abstraction in algebra, you learn quickly to correct them, and are not intimidated when they encounter expression or problems they have never seen before. By learning some tricks or short cuts, students gain confidence and are better equipped to take on the challenges that algebra will always be present. In one of my ebooks, I talk about some new ways of handling and solving equations with “light switch property.” Another shortcut I teach to solve equations is called “bridge toll process.” By giving meaningful names to abstract methods, the teacher lets students visualize the procedure and think about it in a way that makes it more concrete. After a lot of abstraction is removed, students get algebra skills in a short span of time.
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