Conrad Wolframis a British technologist and businessman known for his work in information technology and its application... (wikipedia)
One thing is for sure: most of the people admitting candidates to universities for technical subjects are pretty dissatisfied with the level of math education.
Maths should be more practical and more conceptual, but less mechanical.
Maths is fundamentally a different process in education than it is in the real world. There is an insistence that we do maths by hand when most of it is done by computers. The idea that you have to do everything by hand before you can operate a computer is nonsense.
Computers do the calculating to allow people to transform the world.
Answers are what we are trying to get at; search is a process by which you may be able to get answers, but it's not the end goal. It's a mechanism.
Calculating does not equal mathematics. It's a subsection of it. In years gone by it was the limiting factor, but computers now allow you to make the whole of mathematics more intellectual.
I couldn't tell you in any detail how my computer works. I use it with a layer of automation.