Few mathematical knowledge is necessary in order to play Shifting puzzle. On the contrary, you can take a look on the exercise-game Q-Puzzle to see how a jigsaw puzzle can require fairly deep mathematical concepts.
The most recent version
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Description: recover a jigsaw puzzle by shifting rows or columns. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, algebra, permutation, jigsaw, puzzle