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Mathematical tile. Mathematical tiles nailed to wooden planks, overlapped and mortared to give the appearance of a brick surface. Mathematical tiles are tiles which were used extensively as a building material in the southeastern counties of England—especially East Sussex and Kent —in the 18th and early 19th centuries. [1]
Cuisenaire rods are mathematics learning aids for pupils that provide an interactive, hands-on [ 1] way to explore mathematics and learn mathematical concepts, such as the four basic arithmetical operations, working with fractions and finding divisors. [ 2][ 3] In the early 1950s, Caleb Gattegno popularised this set of coloured number rods ...
Manipulative (mathematics education) In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appropriate hands-on experience.
The study of polyomino tilings largely concerns two classes of problems: to tile a rectangle with congruent tiles, and to pack one of each n-omino into a rectangle. A classic puzzle of the second kind is to arrange all twelve pentominoes into rectangles sized 3×20, 4×15, 5×12 or 6×10.
In all of these arrangements each sphere touches 12 neighboring spheres, [2] and the average density is π 3 2 ≃ 0.74048. {\displaystyle {\frac {\pi }{3{\sqrt {2}}}}\simeq 0.74048.} In 1611, Johannes Kepler conjectured that this is the maximum possible density amongst both regular and irregular arrangements—this became known as the Kepler ...
Greatest common divisor. In mathematics, the greatest common divisor ( GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted . For example, the GCD of 8 and 12 is 4, that is, gcd (8, 12) = 4. [ 1][ 2]
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