Surprisingly enough, the math professors--people who come up with equations for determining the gait of a horse, or how much fuel NASA will need for its latest rocket---are the most tech illiterate people on the planet.
Most mathematicians dislike computers. Part of that may be Luddite, but there's also some valid points:
Mathematicians like elegant proofs because they provide patterns and templates that can be abstracted into other theories, so providing greater understanding. But computers tend to do case by case "brute force" proofs, which don't provide any understanding.
The famous example is the Four Colour Theorem. It's a very important theory, because it tells us something about the topology of 2 dimensional space. But the proof of the theory was done by a computer program, so nobody really understands
why the theory is true, only that it is. And now, because it's proven, nobody (in their professional role) looks at the problem anymore, so its likely to remain in this unsatisfying state.
Also, if you rely on a computer to solve a problem, you have to trust that the computer has been programmed correctly.
Finally, computation isn't always the most efficient way of solving a problem. Many problems can be solved with a computer program, but the most efficient method is typically not suited to implement on a computer. For example, some problems can be solved in
polynomial time, but the best you can manage on a computer is a method with
exponential time. So mathematicians see that computers are not the holy grail for problem solving.