A method for adaptively teaching content to a user comprises providing a plurality of teaching topics. The method includes sequentially associating a lead problem and a plurality of secondary problems with each of the plurality of teaching topics. Each of the lead problems and the plurality of secondary problems is an open-ended puzzle having a range of solutions and a difficulty rank. The range of solutions for each of the lead problems and the plurality of secondary problems has an optimal solution and a plurality of secondary solutions. A teaching topic is selected and a corresponding lead problem is presented to a user. User provides answer data via a physical input device having enmeshed gears. The user is provided another secondary problem in the selected teaching topic if the answer data matches one of the secondary solutions. The user is provided another lead problem if the answer data matches the optimal solution.

A multi-layer toy having at least one outer layer adjacent a planar layer or a ball where both the outer layer and the adjacent planar layer or ball each contain related information such that, in play, the information on the outer layer is made to align with the related information on the adjacent planar layer or ball. The information can comprise depictions of objects, things, characters, animals, or words, for a matching game, or the information can comprise numbers for a counting or mental math game. The toy is preferably sized to be hand-held.

A multi-layer toy having at least one outer layer adjacent a planar layer or a ball where both the outer layer and the adjacent planar layer or ball each contain related information such that, in play, the information on the outer layer is made to align with the related information on the adjacent planar layer or ball. The information can comprise depictions of objects, things, characters, animals, or words, for a matching game, or the information can comprise numbers for a counting or mental math game. The toy is preferably sized to be hand-held.