Just because something doesn't teach everything about a subject doesn't make it a poor instructional aid. 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. Even if you do understand it and could in principle recreate the rules from scratch, recalling them from memory is faster than deriving them each time you need them - and since algebra is pretty much the foundation of all advanced math, you'll be needing them a lot if you want to study math at all. (Though if you end up struggling with the harder topics because you didn't have the rules of algebra appropriately memorized, you might never want to study more of it...)
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...
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.