Not cheating, which is where "dirty trick" comes in. The shift is we've decided to provide support for anything he wants to learn at home but not to formalize it.

Yea, ultramarina, it is about encouraging the shift in strategy for us too. Any push tends to break things; if I had told him he should try to memorize them, nothing resembling that would happen and he may never look through the cards again. Since we are finally getting multiplication sent home after our PT conference, he also understands that doing good work on those can lead to more complexity.