Unless I’ve misunderstood how the cardsort problems work, I think if a student wants to solve them “one item at a time” then showing them which ones are wrong, regardless of whether we require them to put them all in place or not, isn’t going to help, the student can simply start by putting them all in one place then moving one particular item one place at a time until that is correct, then moving to the next item and so on. If they want to do a search like that then any version of showing them which items are wrong will not prevent it. Even telling them only how many they have wrong won’t affect that, and even just telling them if the whole thing is right or wrong will at best slow down the exhaustive search, from n*k to n^k or something the sort, someone with better combinatorics skills can probably get a better answer.
My thought would be (all of the following):
1. default behavior as we have it now
2. allow a number of attempts as an optional setting the author can set (though admittedly it feels more of an instructor setting so I’m a bit torn)
3. have a setting to specify between two forms of feedback: by-item vs only-holistic. Again this feels more of an instructor setting than an author setting.
I think allowing an instructor to limit the number of attempts is something that should be an option at the runestone level at least. I feel it is a pedagogical choice that I would want to leave to the instructor. Similarly for the kind of feedback provided. Not sure how easy it is to do this just at the runestone level though.
Charilaos Skiadas
Department of Mathematics
Hanover College