the nature of numbers? I am currently relearning basic math - including; fractions, decimals and percentages. I am learning from various different sources, and what gets me is that they only teach math in forms of methods. This bugs me because they teach you the 'how' and not the 'why'. There maybe a good method to divide two fractions with uncommon denominators, but there is no explanation of why the method works. I want to understand the process, not just learn it.
Question - are there any reliable educational sources that explain the logic behind the methods? Or in other words, is there a way to understand the nature of numbers and how they are calculated? In this way I can understand math, rather than just learning the methods to calculate numbers.
 A: Well -if- you are in America then I can understand why. Personally I hated the way math was taught in high school. Just like you said, method are taught, with no explanations. For example, the quadratic formula was given, and asked to be memorized. In the test, students scream when variations of problems of occur because they forbid direct application of memorized formulas. I believe this is caused by the fact that students want to spend very little time on the math, and learn quick ways to beat the test. For an educator to write books that care to explain the thoughts behind the methods, the writer must appreciate the beauty of mathematical structures. In addition, for the book to be sold well, students must be have enough curiosity about math. Unfortunately, what I saw was a trend of desire to stay away from math. People like you, are becoming less common. I blame the educators. 
Try to take some elementary math class at a good universality. Most of the classes are big so you can just walk in and listen. You will find lots of crazy math professors and may be you will love it.
