Comment Re:Missing the point of math... (Score 4, Insightful) 636
It's never about critical thinking. It's never about solving real life problems. It's always about passing the next test or quiz.
And, again, you miss the point. I apologize if I didn't make that clear. It's not about directly solving real life problems. It's about learning the STYLE AND WAY OF THINKING LOGICALLY in order to solve real life problems.
The way math classes make you do this is by doing math problems, because math problems can only be solved by logical thinking and a logical application of mathematical properties. Doing this again and again, building in complexity over the years, doesn't just teach you to solve math problems, it teaches you HOW TO THINK about any problem. Just like muscular exercise builds up muscles that are used repetitively for some task that you want to be stronger at doing, the kinds of problems you do in math are brain exercises that build up, through repetitive use, the pathways that are useful for logical thinking.
I'm sorry if your teachers didn't make this explicitly clear to you. A lot of teachers don't. I, for one, do explain this to my students, because I understand very well that the level of math we are doing is not very interesting, the types of problems we solve with it are very contrived and not realistic (because the math required to solve "real" problems is way beyond these basics, but you must master the basics if you want to learn to do the advanced stuff), and a lot of the actual things we do in class are not very applicable themselves in real life. For most people, math is not exciting or interesting. But learning it gives the gifts of clear and logical thinking and the ability for sustained chains of reasoning.
I'm sure not many of my students get this, even though I have explained it to them, but that's simply a product of them being young and inexperienced with the world. If even a few of them come out of this class as clearer, more rational thinkers, then I've done my job well.