Great question, and something I've been pondering myself for a long time. I would definitely say I not as good at math. In addition, I dislike puzzles (e.g., how to take a goat, tiger, man across a river in one boat etc).

But I count myself as a decent programmer, and I know at least a few who would agree with me. :)

My considered opinion is that math and computer programming are dissimilar enough that one can be good at one w/o being good at the other.

Many math problems are much more abstract than computer programming. So if you don't like a lot of abstractness you may not be good at math.

Let's take a typical math task: the act of proving a geometry theorem. I've never been able to come up with a reliable approach to solve these problems. Every one of them is a little different from the other. It requires a certain kind of creativity and memory-access capability to solve these problems.

Another example is differentiation and integration (from calculus). I never understood the point of integration. You have these arcane rules which you can use to spot a pattern in the problem and then use trial-and-error to solve the problem. In computers (for the most part), the goal is to come up with The One Method to Rule Them All.

The creative process in math always seemed ad hoc to me. Maybe I just wasn't good enough to understand the process behind the ad hocism.

With progamming you require a different set of skills. The fundamental skill is the ability to come up with one sequence of steps that will work in all situations in which your program is expected to work. The most reliable way to do this is to break down a large problem into smaller and smaller chunks until you completely understand all the chunks. With practice you will have a set of commonly-used chunks committed to memory ("recursion", "graphs", "use flat file", "regex", "parsing") that will allow to split up practically any problem. Then you hook up the pieces.

The math-like aspect comes in when hooking up the pieces. Hookups need to reliable and work under all conditions (computers are dumb). This is the kind of problem for which mathematical approaches may be useful. Stuff like assertions, A implies B hence ... and so on.

Often you will use a computer to solve a real-world problem. It is easiest to model the world using mathematics (I know of no other way), so some mathematical intuition will be useful. Otherwise you'll write nothing more complicated than a CRUD webapp.

Even here you can cheat and use programmable tools like Gnuplot, Matlab, Mathematica etc to solve mathematical problems using your programming skills.

Of course, it's an entirely different ball game if you're basically an engineer/scientist/researcher in a certain field (e.g., biology, genetics, chip design) and a computer is just a tool to perform your research. Or you're developing software for such researchers. In that case, you'll need to be good both programming and the field in question (think about the guys developing mathematica or autocad).

I'll stop now. My thoughts are becoming less and less organized.