If anything, programming helps someone appreciate math more, which in turn gives additional motivation to learn. For some people, it's not fun to learn math and only be able to apply it on paper. Some of my earliest Visual Basic programs were a quadratic equation solver, a Fahrenheit/Celsius converter, and something that drew a guitar fretboard.
Another benefit is that getting programs to work made me more systematic with my math and pay attention to all the variables/equations required to solve something. I've had colleagues who would derive something and share their formulas, not realizing there are missing things, because they haven't tested it in code.
I found programming to be exceptionally helpful when learning trig. I was able to not just understand a few examples, but really generalize the concepts and relate them.
That was an experience that really stuck with me, and I must say I'm kind of surprised at many of the naysayer opinions in this thread.
To this day I'll fire up a REPL to explore some math ideas. Maybe I'm weird and am just more programming minded than most, or my prior programming helped.
Another benefit is that getting programs to work made me more systematic with my math and pay attention to all the variables/equations required to solve something. I've had colleagues who would derive something and share their formulas, not realizing there are missing things, because they haven't tested it in code.