Algebra is more than rote memorization, but having the rules memorized does help a lot in getting to the stage where you truly understand it.
I disagree. I think that memorizing the rules first, without understanding where they come from, discourages the student from attempting to understand anything to begin with. After all, his goal is to balance an equation, and look, he just balanced it... so what else is there to know ? Thus, the memorization approach creates the impression that math (or whatever subject you're studying) is all about arbitrary rules that make no sense; it's all about "guessing the teacher's password", and that's boring.
Contrast this with the approach of treating an equation like a puzzle. If "2x - 3 = 5", and we want to know what x is, there are many ways to approach the solution. We could ask, "someone did a bunch of stuff to x to get 5, how can we undo it ?", or we could say, "the equation is like a pair of scales that are balanced, so what can we do to get x by itself without unbalancing the scales ?", etc. Some possible partial answers are, "someone took away 3, so let's add it back", or "if we add 3 to both sides, the scales will still be balanced but we'll be one step closer to a solution". But "add 3 to both sides because that's how the game is programmed and you won't get the high score otherwise" isn't much of an answer. High scores don't mean anything, algebra does.
Well, I can't speak for others, but my personal experience with math tends to be that I only start properly learning why something works once I have the rules pretty well memorized. Before that, my working memory is so occupied with trying to just remember how to apply the rules that I don't have the space to remember why they work. Or alternatively, I can learn why the rules work - but in that case I don't have the memory capacity left for remembering how to apply them.
Of course, this is complicated by the fact that during the process of trying to memoriz...
Last month, mobile gaming superstar Angry Birds was out-sold in some countries by DragonBox, a kids game in which players solve alegbra equations.
How does the game work? Jonathan Liu explains:
The key to DragonBox's success is not that it's the best algebra tutorial available, but rather that it's actually fun for its target audience to play.
Others have noticed the potential of "computer-assisted education" before. Aubrey Daniels writes:
Remember what works in reinforcement: Small reinforcements are fine, but the reinforcer should immediately follow the target behavior, and it should be conditional on the specific behavior you want to strengthen.
Video games are perfect for that! Little hits of reinforcement can be given many times a minute, conditional on exactly the kind of behavior your want to reinforce, and conditional on exactly the behavior you want to reinforce.
DragonBox is just a particularly successful implementation of this insight.
One of the goals for the Center for Applied Rationality is to develop rationality games and apps. But it's tricky to think of how to make addictive games that actually teach rationality skills. So I'd like to provide a place for people to brainstorm ideas about what would make an addictive and instructive rationality game.
See also: Rationality and Video Games, Gamification and Rationality Training, Raytheon to Develop Rationality-Training Games.