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  2. Froebel gifts - Wikipedia

    en.wikipedia.org/wiki/Froebel_gifts

    The second gift was developed to enable a child to explore and enjoy the differences between shapes. By attaching a string or inserting a rod in a hole drilled through these wooden geometric shapes, they can be spun by a child. Although the sphere always appears the same, the spinning cube reveals many shapes when spun in different ways.

  3. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

  4. Manipulative (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Manipulative_(mathematics...

    To teach integer addition and subtraction, a number line is often used. A typical positive/negative number line spans from −20 to 20. A typical positive/negative number line spans from −20 to 20. For a problem such as “−15 + 17”, students are told to “find −15 and count 17 spaces to the right”.

  5. Preschool - Wikipedia

    en.wikipedia.org/wiki/Preschool

    Children who attend Preschool learn how the world around them works through play and communication. Pre-K (or Pre-Kindergarten) from 4 to 5 years old – held in Nursery School and is an initiative to improve access to pre-primary schools for children in the USA. There is much more than teaching a child colors, numbers, shapes and so on.

  6. 15 puzzle - Wikipedia

    en.wikipedia.org/wiki/15_puzzle

    The transformations of the 15 puzzle form a groupoid (not a group, as not all moves can be composed); [12] [13] [14] this groupoid acts on configurations.. Because the combinations of the 15 puzzle can be generated by 3-cycles, it can be proved that the 15 puzzle can be represented by the alternating group. [15]

  7. Centered square number - Wikipedia

    en.wikipedia.org/wiki/Centered_square_number

    Hence all centered square numbers and their divisors end with digit 1 or 5 in base 6, 8, and 12. Every centered square number except 1 is the hypotenuse of a Pythagorean triple (3-4-5, 5-12-13, 7-24-25, ...). This is exactly the sequence of Pythagorean triples where the two longest sides differ by 1. (Example: 5 2 + 12 2 = 13 2.)

  8. Sliding puzzle - Wikipedia

    en.wikipedia.org/wiki/Sliding_puzzle

    The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a larger picture (like a jigsaw puzzle), numbers, or letters. Sliding puzzles are essentially two-dimensional in nature, even if the sliding is facilitated by mechanically interlinked pieces (like partially encaged marbles) or three ...

  9. Square-1 (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Square-1_(puzzle)

    The Super Square One is a 4-layer version of the Square-1. Just like the Square-1, it can adopt non-cubic shapes as it is twisted. As of 2009, it is sold by Uwe Mèffert in his puzzle shop, Meffert's. It consists of 4 layers of 8 pieces, each surrounding a circular column which can be rotated along a perpendicular axis.