### Do I have to be good at Spatial Reasoning to be good at Math?

“There is much, much more to mathematics than “*spatial reasoning*“: I am a research mathematician with some kind of international reputation, but my inherent spatial reasoning abilities are no better than average.

I bought a bookcase a few months ago, but delayed assembling it and seem to have lost the instructions: without them, I think I would rather buy a new bookcase than worry about how to assemble the one I already have! When it comes to applying spatial reasoning *to mathematics*, I can see that I have to work harder than many of my peers but I can still do it: for instance, when I discuss finding volumes of revolution in calculus I can always identify a few students who can visualize the regions more easily than I can…but overall I am still better at these problems than almost any calculus student I have ever taught because (i) I have so much more experience with these problems than they do and (ii) there are aspects of solving these problems other than spatial reasoning. I think that if you want to work in certain aspects of low-dimensional topology then it is important to have strong spatial reasoning skills — sometimes I have seen talks or read papers in which proofs in these areas are done with the aid of pictures that look very confusing to me — but even here I think that other skills are just as important or more as naked spatial reasoning.” (read full discussion onĀ math.stackexchange.com)