A great math activity shouldn't be too easy. If a problem is too easy it holds no interest to us. This is a claim that's all over the comments of Dan's recent post.
But, why not? I mean, we do easy things all the time. Why would a math problem become less interesting if it's too easy.
"Because people have an intrinsic love of challenges."Really? Is our perception that something would be challenging (but doable) sufficient to get us interested in an activity? Aren't most of our worksheets doable but challenging? And why would some sort of activities be more interesting than others? Do they appear more challenging? More doable? What's the theory?
Drop a comment, and we'll hash this out.