How did you get your start in pursuing mathematics (at least in a recreational sense), and as a followup how did you then develop your mathematical skills and knowledge?
In my case I was initially interested in physics (specifically Astronomy) at a young age, I was fascinated with knowing how things worked, but could only grasp the conceptual aspects of it due to my lack of the mathematical knowledge. It was in my time studying introductory calculus that I began to develop an appreciation for mathematics, however something always bothered me, textbooks always showed me how to do something, like finding the curvature of a function on some interval, but never showed me why the formulas and theorems worked, or how I could apply them outside of the given examples. The deeper I looked into Calculus the more I found connections between it and other branches of mathematics. I actually tried making a tree diagram of mathematical concepts to try and see if I could get a grasp of how the various fields worked together. Although I failed in my endeavor I became very interested in Mathematics and decided to ask my aunt, (who had a doctorate in pure mathematics) what was really going on with mathematics, why do these things work, and how could I use them. She then introduced me to Galois Theory and taught me a trick one of her colleagues showed her, as set of a equations you can derive from Galois Theory to solve a Rubik cube. At first I couldn't believe my eyes, how could a string of numbers and letters do what took me half an hour to accomplish? I tried for hours on end to stump the equations, surely at some point they wouldn't work, but they always did. From that point on I was hooked on mathematics, still interested in physics as well, and have spent most of my free time learning new things about mathematics and physics.
Problem solving was something I wasn't interested in until I found this website over a year ago, the site was barely two months old, however when I tried solving a few problems I found it to be fun, very much so, even when I got a problem wrong it was exciting, it gave me the chance to learn something new. It was unexpected but problem solving became almost a hobby of mine, I'd buy books by Martin Gardner and see what I could do, it kinda made me feel like a detective, using pieces of information to draw a valid conclusion. Most of the time it was a challenge, but if it wasn't, there wouldn't be much point in doing it.