I first saw this game on the Ben's blog and was immediately amazed by its simplicity. I don't think our education system really focuses on teaching us to think multiple levels deep when solving a problem. There's a reason why people who are trained in chess are good at evaluating various future outcomes and making good moves based on their expectation of how their opponent will play.
When Memorization Gets in the Way of Learningby Ben Orlin
Cheat sheets aim to substitute for memorization, and I hate it when my students memorize things. I define memorization as learning an isolated fact through deliberate effort. Memorization is a frontage road: It runs parallel to the best parts of learning, never intersecting...Overreliance on memorization is like most problems in education: systemic. One teacher can't topple the tyrant's statue alone. But she can begin to chip away at the base.
What are your thoughts on the role of memorization in education?