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.
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.