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  2. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    Pattern blocks were developed, along with a Teacher's Guide to their use, [1] at the Education Development Center in Newton, Massachusetts as part of the Elementary Science Study (ESS) project. [5] The first Trial Edition of the Teacher's Guide states: "Work on Pattern Blocks was begun by Edward Prenowitz in 1963.

  3. Shape grammar - Wikipedia

    en.wikipedia.org/wiki/Shape_grammar

    Shape grammars in computation are a specific class of production systems that generate geometric shapes. Typically, shapes are 2- or 3-dimensional, thus shape grammars are a way to study 2- and 3-dimensional languages. Shape grammars were first introduced in a seminal article by George Stiny and James Gips in 1971. [1]

  4. Van Hiele model - Wikipedia

    en.wikipedia.org/wiki/Van_Hiele_model

    The van Hiele levels have five properties: 1. Fixed sequence: the levels are hierarchical.Students cannot "skip" a level. [5] The van Hieles claim that much of the difficulty experienced by geometry students is due to being taught at the Deduction level when they have not yet achieved the Abstraction level.

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The apparent plural form in English goes back to the Latin neuter plural mathematica , based on the Greek plural ta mathēmatiká (τὰ μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after the pattern of ...

  6. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with a common ratio of 1/2. Examples of a geometric sequence are powers r k of a fixed non-zero number r, such as 2 k and 3 k. The general form of a geometric sequence is , , , , , … where r is the common ratio and a is the initial value. The sum of a geometric progression's terms is ...

  7. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    The coordinates for the vertices of a square with vertical and horizontal sides, centered at the origin and with side length 2 are (±1, ±1), while the interior of this square consists of all points (x i, y i) with −1 < x i < 1 and −1 < y i < 1. The equation (,) = specifies the boundary of this square.