A system and method for teaching and learning mathematics. The system includes a plurality of modules including a first module having blocks for assembling into different configurations, a second module having a plurality of sheets of predetermined mathematical equations, a third module having a plurality of dice having numbers and mathematical operation symbols, and a fourth module having a deck of playing cards. At least one of the modules is implemented with augmented or virtual reality. The blocks of the first module comprise blocks of differing geometric shapes. The sheets of the second module comprise at least addition, subtraction, multiplication, and division operations. The third module includes dice having a plurality of sides, with two dice having a number on each side and one dice having a different mathematical operation symbol on each side. The deck of the fourth module contains playing cards with numbers on both sides.

A puzzle includes a cube-shaped box having a cavity therein, a plurality of rhombus-shaped members detachably engaged to each other, and a plurality of pyramid-shaped members detachably engaged to the rhombus-shaped members. The rhombus-shaped members are intercalated between the pyramid-shaped members such that a combination of the rhombus-shaped members and the pyramid-shaped members collectively have a cube-shaped arrangement removably fitted inside the cavity of the cube-shaped box. At least two of the pyramid-shaped members are situated at a top-most region of the cavity of the cube-shaped box

A disposal box for used playing cards has a cuboid shape provided with six surfaces, namely, front and back surfaces, left and right surfaces, and upper and lower surfaces in an assembled state. The disposal box includes a slit that is provided in at least one of the six surfaces and enables the used playing cards to be inserted into the disposal box. The disposal box further includes viewing windows that are provided with a plurality of holes having a size at which the playing card cannot be taken out, and can allow the used playing cards contained in the disposal box to be visually recognized. The disposal box is formed of a paper or plastic material, and can be discarded in a state in which the used playing cards are contained in the disposal box.

A reconfigurable boardgame system herein comprises a reconfigurable boardgame board (e.g., four panel tri-fold) with a plurality of page-retaining corner members in corners of board panels, allowing interchanging customized boardgame pages. In one embodiment, only those corners of each panel that are exteriorly located on the board have corresponding corner members (leaving the center unobstructed). In another embodiment, the boardgame board is contained within a reconfigurable boardgame kit, which may comprise reusable (e.g., generic and shared) game pieces (dice, timers, pawns, etc.) for use by many games. In still another embodiment, the boardgame kit comprises blank and/or templated items to be filled in, such as boardgame panels, cards, customized dice, game pawn blanks, rules templates, etc. Envelopes may store the game panel pages, rules, and custom pieces of each individual boardgame, to be stored in the kit and used with the reconfigurable boardgame board and the generic reusable game pieces.