How should students come to see the value of systematized ways of thinking and approaching problems? I’m not exactly sure, but I’d prefer it look more like this:

As soon as I saw it disappearing from the bottom I thought, “Why didn’t I draw the light rays in my initial sketch?” In fact, I wrote that in my journal, if I would have drawn the light rays, how I have been drawing them, with the “cross action”, I would have made a more accurate prediction. Because I didn’t draw the rays as we discussed in class, I went back to basic thinking–like shining a flashlight on a wall and covering it with my hand. I didn’t really take into account the path the light takes when it passes through a small opening.

Then any of this:

this

or this

or this

or this

or this

or this