As i don’t no any average person, it is difficult to explain dis-/agreement here.
I think, with math it is like with many important issues in the modern world: Actually math makes the world go round, but in normal life you often choose to ignore that – an you get away with that, normally.
No computer-graphic is working without algebra, projective geometry and stuff,
no highway-exit can be build without using tons of calculus,
no complex business will get away without lots of algebra of matrices, cost calculation etc.
So, you normally don’t have to be able to understand the technology beneath the surface of your car – but in case of a breakdown in the northern territories you better do!
On a deeper level we can start to differ between math (the stuff you missed to learn at school) and mathematics, which is quite another story: While math being a bunch of tools to deal with the outer world, mathematics, abstract mathematics is THE structured way of thinking – the ultimate way of brain-jogging. You want to learn to think? Train your brain with mathematics! You want to find the flaws in your opposites thoughts? Train your brain with logic and analytic thinking as the old mathematicians did!
As mentioned above – you can live a rich live without ever hearing about math – but why, when doing math can be the ultimate fun and a wonderful straightforward approach to understand the world and its innermost connections?
But maybe this only a German approach:
“So that no more with bitter sweat
I need to talk of what I don’t know yet,
So that I may perceive whatever holds
The world together in its inmost folds,
See all its seeds, its working power,
And cease word-threshing from this hour.”
(Goethe, Faust)