Mostly I teach here. I want to encourage beginning students to think for themselves, so I use a lot of hints and comments. More advanced questions I often just answer.
Relevant personal history:
PhD from Notre Dame in '90.
Drifted from representation theory of algebraic groups to applications of algebra into telecommunications, mostly coding theory, and lately mostly teaching at college level.
3 graduate students with awarded PhDs. Technically it's now 4, but my previous students did most of the work with the latest one, so I should not include him.
I have mostly worked at our local University at Turku, Finland. At one point I tried working for Nokia Research Center. It was ok, but an old dog didn't learn all the tricks, and then they downsized, so I returned to the Uni as a tenured lecturer.
Q&A for people studying math at any level and professionals in related fields
Q&A for professional mathematicians
Q&A for those involved in the field of teaching mathematics
Q&A for academics and those enrolled in higher education
Q&A for users of TeX, LaTeX, ConTeXt, and related typesetting systems
Q&A for users of Mathematica
Stack Exchange Network staging zone, where users come together to build new Q&A sites
Q&A for speakers of other languages learning English
Q&A for people who build and repair bicycles, people who train cycling, or commute on bicycles
Q&A for software developers, mathematicians and others interested in cryptography
Q&A for linguists, etymologists, and serious English language enthusiasts
Q&A for theoretical computer scientists and researchers in related fields
Q&A for active researchers, academics and students of physics
Q&A for meta-discussion of the Stack Exchange family of Q&A websites
Q&A for professional and enthusiast programmers
Q&A for spacecraft operators, scientists, engineers, and enthusiasts
Q&A for students, researchers and practitioners of computer science
Q&A for practitioners of the art and science of signal, image and video processing
Q&A for astronomers and astrophysicists
Q&A for those who create, solve, and study puzzles