The Joy of x starts simple and takes nothing for granted. An example from Sesame Street calling for "fish fish fish" begins the introduction into numbers and counting. Subtraction begat the need for negative numbers. Square roots gave us the need for imaginary and complex numbers. Parabolas and other conic shapes have the ability to concentrate and amplify due to their structure. Geometry, calculus and algebra all help us explain real world phenomena.
"School math" often focuses on isolated equations or contrived story problem. Connecting it to the real world does a good job of making things alive. There are always the assumptions in word problems that we are asked to take to solve them. In high school, wind resistance always drove me crazy. Riding my bicycle, I knew that the wind and hills made a huge difference in speed and effort. Yet, all word problems seems to assume that all travel was done in a flat vacuum. The math to account for those details was "too complex" for the moment, but important for the real world. Even acknowledging those factors helps increase the "joy" in math.
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