Does mathematics give us a true reflection of reality?

It is known that humans and many animals have a fast-acting sense of number, called "Subitizing".

See:

https://en.wikipedia.org/wiki/SubitizingIt is not a "True" reflection of reality, as it only has an accuracy of about 10%. But it is close enough for a bird to tell if an egg has fallen out of the nest (or a Cuckoo has added an egg to the nest).

https://en.wikipedia.org/wiki/Number_sense_in_animalsIn their natural habitats, humans and animals deal with a large number of complex mathematical problems that require differential equations to solve accurately, including catching a ball, swinging from branch to branch, and walking.

The folding of proteins is a complex, multi-dimensional problem which is really hard to solve on a computer (but your cells do it every second). A citizen science project has allowed members of the public to discover the structure of important proteins, by turning it into a game (and competition).

See:

http://fold.it/portal/A more recent citizen science project examining a problem in quantum physics used a game on a smartphone. Despite the fact that the problem is extremely hard to solve on a computer, they found that some people quickly developed a sense of how this quantum system worked, and demonstrated methods that were far more effective than the researchers had been able to develop on their own.

...so our brains can do complex mathematics unconsciously!

Perhaps the mathematics we teach in high school seems irrelevant because it is too

*simple* to deal with practical problems like catching a ball or catching a bus?