

Mathematics is one of those human endeavors that mainly requires brain power,
and a little time. It can be entertaining, frustrating, satisfying, relaxing,
very easy and very complicated. Sometimes it is possible to do a lot with
a little effort. Sometimes a lot of effort is rewarded with no results. As
in so many other areas, mathematics is subject to the universal law of
achievement:
Unfortunately, it usually takes a long time before mathematics can be enjoyable, and even more time before it can be done in a leisurely manner. There are, however, elements of mathematics that can be entertaining from the very beginning. For some it is observing the behavior of a live mathematician. The study of mathematics can be made less frustrating by an appropriate choice of textbooks. There is no "one size fits all" approach. Some prefer to begin with a lot of examples and no theory, yet others begin by learning the concepts. Here, the preference is on concepts. This approach is described by the first law of learning:
Mathematics requires and improves, problemsolving skills. Fairly often, a student faced with finding a solution to an exercise will begin by looking for an example that is just like the exercise. The solution is then found by mimicking the procedures described in the example. It works; for a while. Yet, this does not lead to understanding. The recommended approach can be described by what we call the second law of learning:
The following may help with the classroom instruction:

"I have never let my schooling interfere with my education." Mark Twain. 