Math has always been a part of technical design. I think "programming" is starting to become a field where the actual authoring of code and the design of logic fuse completely. So the future of programming combines the design (engineering, mathematics, etc.) with writing code.

From my somewhat inexperienced standpoint, I think programming has gone from instructing the computer to complete a task, to telling the computer to create a logic and handle events based on a complex set of conditions. The former was simple - 1, 2, 3, done - while the latter requires you to design a system, then make that system function through code.

I see old-style programming as following a map: go straight, turn right, turn left, and then stop at the destination. Modern programming is more like telling the computer to use this logic to find its own way on the map, then follow through.

Basically, I see programming slowly morphing into the creation of artificial intelligence.