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4$\begingroup$ One idea is the "sum to fifteen" game which is isomorphic to tic-tac-toe, but recruits arithmetic knowledge rather than spatial knowledge. $\endgroup$– Steven GubkinCommented Feb 2, 2022 at 17:38
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3$\begingroup$ This may be helpful: mathwithbaddrawings.com/2022/01/19/… (or maybe not---it isn't out yet, so I have no idea what's in it). $\endgroup$– Xander Henderson ♦Commented Feb 2, 2022 at 18:14
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4$\begingroup$ Have you considered posting this also to Boardgames Stack Exchange? $\endgroup$– Nick CCommented Feb 2, 2022 at 21:25
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2$\begingroup$ There are some good variations on tic-tac-toe. One is to put a small ttt board inside each square of a big ttt board. $\endgroup$– Sue VanHattum ♦Commented Feb 2, 2022 at 21:43
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2$\begingroup$ In terms of board games, Connect 4 is great for this. (I have no source for this statement other than having been a kid once.) $\endgroup$– N. VirgoCommented Feb 3, 2022 at 6:25
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