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.
As a math tutor for 15 years, I have tutored hundreds of students from all the grade levels. I found most of the students were not comfortable with mathematics. More than 80% of them said, "the mathematics is very hard." Why do most of the students find mathematics a hard subject and try to avoid it? The answer for the above question is hidden in a simple example. I always give the example of stairs to my students, and giving the same example in this article. I compare the steps of a staircase to the concepts in mathematics. As this is very hard to reach higher floors of a building without stairs (or elevators these days), same way learn higher concepts in mathematics without learning basic concepts is very hard.