There are three kinds of people in this word, it has been said. Those that think math is a waste of time beyond learning to count, add, subtract, multiply, and divide and thus is primarily useful for consumerism. Those that think that math is amazing because it is extremely useful for the construction of bridges, building, airplanes, cars, and more. These are the engineers. And, finally, those that think math is beautiful for its own sake. Each group is smaller than the previous.
A person's approach to teaching math will differ based on which group he is in.