Ask HN: Learn math faster w/ computers

I've learned a fair bit of python, c, and elisp. I don't know as much math as I'd like to. It's been my experience learning math in school that a lot of the time is occupied by paper and pencil. To avoid wasting time writing stuff out I'd like to use a computer to learn math. So here's my question: 1. Is it feasible; am I likely to learn faster by using a computer to try and explore the problem domains without having to use a pencil? 2. If it'll work, how should I go about it? Latex, mathematica, any textbooks oriented towards working with math w/o pencil & paper, anybody who's learned math in the way I suggest?