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Awesome! Really liked the way you proved (-1)(-1)=1.

What I am doing is trying to relate every single new thing I am learning with real life examples, only to make sure that I have learned* that thing. Most of the times I fail at that. But I guess it's not always possible.

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That may not always be possible (or even necessary) to relate to a real-life example, but as long as you develop some sort of intuition, of "feeling" about what you learned, you did not fail at learning that.

For example (taken from the article I mentioned on the other topic), when you think of a derivative, what is the first thing that comes to your mind?

The equation that defines it? (http://calnewport.com/blog/wp-content/uploads/2008/11/deriva...)

Or this intuitive image? http://calnewport.com/blog/wp-content/uploads/2008/11/tangen...

I am yet to tackle Calculus, so nothing comes to mind. But I am agree with you that, relating all of math concepts to real life won't be necessary as long as I truly understand it.

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