Readings & Meanings:
to break, to fold
I went out carrying a compact (folded-up) umbrella.
Origami is even popular among adults.
At the next light, make a left.
He is a polite, straight-laced person, even in his daily life.
Hand radical 手 on the left.
斤 on the right, which is a pictograph of an axe approaching an object. We've seen 斤 before.
Seems pretty straightforward.
Actually, the original kanji (1000 BC or so) had two trees on the left, emphasizing cutting wood into two even pieces. Later this kanji became "to fold."
There are many videos on incredibly detailed origami and the masters who can create such things. Here's a Japan Probe post on one such video: http://www.japanprobe.com/?p=1116.
But I had to actually embed this one; it's hilarious.