*I am a lazy blogger. Mind you I have been blogging off and on since 1999. Why yes, I had a blog on the original “Blogger”. I remember vividly making one, being so excited (I had a new baby and was one of the early “mom bloggers”), and then Blogger reset everything after a crash and I lost my blog. We all had to start over. Sigh. Anyway, point is nowadays I seldom have time to blog, what with working full time, having 3 teenagers, running the Christian Unschooling facebook group (nearly 2000 members now), and well, life. So you mostly get posts that are reposts of things I have written elsewhere, because, posts.
The following is in response to a new to unschooling mom asking how to make sure her passionate about art daughter was learning math. Obviously my post here is proof read, formatted properly, etc unlike the original post which I wrote on the fly. 😀
With art, math is more of a natural thing that happens and less of a “this is math” thing. If I try thinking of math while I draw/paint my brain actually stops doing the type of art I want to do and I get too analytical to do the more organic work I prefer. (I play a lot of logic/puzzle video games which use the math part of the brain when doing programming and very architectural drawings and tend to spend more time watching vibrant/visually stunning animes and movies and listening to music when painting- helps my brain get into the right mode to work). That said you do use math naturally as an artist and it develops as you develop. So this is more for the mom and whoever else is worried about the child learning math than for her.
You use a lot of math think to do perspective, scaling things for drawings- whether up or down, composition, layout, proportions, as well as anytime you work on a realistic drawing it is all in your head visual math. The only art I can think of that does not use math as a default would be doing complete abstract (and many abstract pieces are full of math). Anytime you are taking something real world and putting it on paper (including fantasy and manga style, but I am saying, anything you could build and see rather than abstract concepts) you are using an organic math in your head to decide where things go and how they fit and where the lines should go. Mostly it is because when God created the world He filled it with patterns and lines and you can’t draw without replicating those at least in part, and the more you do it and the better you get the more math you are actually using, whether you recognize it or not.
Nowadays I can actually see myself doing it, and my art is much better because of it, though when I was young, math made me panic and I had to “ignore” the fact that I was using it and rather intuit it to get it figured right. I still intuit it, but I also intuit most math in other things- if I think about numbers my brain switches them around (there is a name for it- it is called “dyscalculia”- makes doing bills extra interesting), but if I let myself not think about them and intuit the answer it is almost always right.
There is a big difference between conceptual math and arithmetic- arithmetic is 1+1 and people naturally get that stuff because we use clocks and money, bake and play games, and everything else in the real world that uses arithmetic every day. Art, on the other hand, uses a lot of conceptual math- the scientist/mathematician stuff that most people don’t think of as “math”, it is just another form of that. Seeing patterns and using them to know where to put lines and color and shape is much more conceptual than it is arithmetic . That said artists do also use basic arithmetic for figuring proportions and things in more complicated drawings and layout- think M.C. Escher type stuff.
More on the difference between conceptual math and arithmetic here: http://www.christianunschooling.com/math-think/
Also, is you want to see where I am actually posting my art nowadays on a semi-regular basis you can visit my tumblr here: Pocket Lint of the Soul