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  2. 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”.

  3. Gnomon (figure) - Wikipedia

    en.wikipedia.org/wiki/Gnomon_(figure)

    For example, when transforming the 7-square to the 8-square, we add 15 elements; these adjunctions are the 8s in the above figure. This gnomonic technique also provides a proof that the sum of the first n odd numbers is n 2; the figure illustrates 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 = 8 2. First five terms of Nichomachus's theorem

  4. Betsy's Kindergarten Adventures - Wikipedia

    en.wikipedia.org/wiki/Betsy's_Kindergarten...

    Betsy's Kindergarten Adventures is an American animated television series intended for young children. [1] The show aired from January 12, 2008 to September 27, 2008 on PBS Kids . Premise

  5. Kindergarten - Wikipedia

    en.wikipedia.org/wiki/Kindergarten

    Education officially started at the elementary level, and placing children into early childhood education through kindergarten was optional until June 6, 2011, when Kindergarten became compulsory which served as a requirement for the implementation of the K–12 curriculum and process of phasing out the 1945–2017 K–10 educational system on ...

  6. 15 puzzle - Wikipedia

    en.wikipedia.org/wiki/15_puzzle

    The number of possible positions of the 24 puzzle is ⁠ 25! / 2 ⁠ ≈ 7.76 × 10 24, which is too many to calculate God's number feasibly using brute-force methods. In 2011, lower bounds of 152 single-tile moves or 41 multi-tile moves had been established, as well as upper bounds of 208 single-tile moves or 109 multi-tile moves.

  7. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.

  8. Sliding puzzle - Wikipedia

    en.wikipedia.org/wiki/Sliding_puzzle

    As a famous example of the sliding puzzle, it can be proved that the 15 puzzle can be represented by the alternating group, [2] because the combinations of the 15 puzzle can be generated by 3-cycles. In fact, any n × m {\displaystyle n\times m} sliding puzzle with square tiles of equal size can be represented by A n m − 1 {\displaystyle A ...

  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.