There was a fantastic Hacker News discussion about Sold a Story a few months ago: https://news.ycombinator.com/item?id=35599181

Apparently the same sort of analysis with math isn't quite as straightforward. There is some evidence that pure constructivism is not successful with struggling math students. But unlike reading instruction where skilled readers never use the strategies taught in things like three-cueing (for "decoding", anyway), skilled mathematicians do approach novel problems in an exploratory manner.