The first category of math topics I would call fundamental to abstraction and modeling. The second category I would call domain math, that is the application of

The first category of math topics I would call fundamental to abstraction and modeling. The second category I would call domain math, that is the application of math to a given problem that requires it. As being merely a programmer myself I would say both are important. The first as a fundamental thinking tool and the second depending on a project. But that’s only one part. In some of Alan Kay’s recent talks he emphasized the importance of combining math, science, engineering, art and something he calles tinkering. I think craftsmanship ought to be in there too, or maybe that is between tinkering, engineering and art? In any case I’m not sure, whether he addresses mere programmers with these. But thinking about the possible application of these concepts to any given project or creative activity really helps. So yes, I think mathematics is important, but it’s also just beautiful and fun. There are also many ways to learn it, from historical to visual and practical.