My experience around the same age (well, maybe more like 6) was with early BASIC home computers circa 1980, and once I learned "FOR loops" and "print" and saw all these weird "function" things in the manual complete with handy example code, I started randomly seeing what happened when I used functions and got all wound up that sqr() crashed on negative numbers and almost never was a "even round result" except for certain numbers and another thing I found hilarious at the time was repeatedly taking the square root of ANY postive number the computer would accept, would eventually, sooner or later, round to exactly "1". Playing with log and antilog was another weird experience, as was early probing of the boundaries of the scalability of factorials (so, why does it crash on any factorial bigger than 70 or so?) I also learned that trig is hard. I learned more about math from a TRS-80 model3 at age 6, than until I went to university.