Art and Science - Not so different?

Personally I'm on neither end of the spectrum of Art, or Science. Granted, I enjoy and appreciate various pieces of art and like to understand the meaning behind them, as well as learning various scientific facts about next to anything, but I would have never considered them as even remotely similar. My reasons are due to mostly stereotypical views of the both, as on one end there lies those driven by logic and data, and the other by the artists' feelings or emotions, all placed purposefully on a canvas. But what if I were to consider that the purpose of Art & Science are very similar?
The purpose of art is to provoke thoughts, ask questions and reason its answers, yet similarly science does the same, as well as applying knowledge for a use that we could transcribe to others in a thought provoking and open-mindedness method, and as Mae Johnson quoted in the 2002 TEDtalk (seen in the video below), “The arts and sciences are avatars of human creativity and are our attempt as humans to build an understanding of the world around us."

The talk also point out that scientists and artists all use the same level of creativity in their work, and given that they are both two separate ways of expressing information, shouldn't we include and implement ways of teaching the arts as well as science in school today? Not everyone is born to be a thinker, but maybe a doer, and teaching critical thinking/creativity could allow children to express themselves in ways that we didn't think they could.

It is easy to see how Science is creative in the way of asking questions, finding solutions and to have an inquiring mind, but a until a few years ago I wondered how art used the mind in the same way by just using a picture, until I came across a piece named 'Breaking Home Ties'.
It was through this picture I was able to understand that one picture can tell a story, and the artist is trying to explain something through this picture, and this wasn't just simply a painting. It's description can be found here.
http://en.wikipedia.org/wiki/Breaking_Home_Ties