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Cuisenaire rods illustrating the factors of ten A demonstration the first pair of amicable numbers, (220,284). 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.
Cuisenaire rods in a staircase arrangement Interlocking "multilink" linking cubes A Polydron icosahedron. 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 ...
Georges Cuisenaire (1891–1975), also known as Emile-Georges Cuisenaire, [1] was a Belgian teacher who invented Cuisenaire rods, a mathematics teaching aid. Life [ edit ]
Sums of the divisors, in Cuisenaire rods, of the first six highly abundant numbers (1, 2, 3, 4, 6, 8). In number theory, a highly abundant number is a natural number ...
Demonstration, with Cuisenaire rods, of the first four highly composite numbers: 1, 2, 4, 6. A highly composite number is a positive integer that has more divisors than all smaller positive integers. A related concept is that of a largely composite number, a positive integer that has at least as many divisors as all smaller positive integers.
Examples of a manipulative include algebra tiles, cuisenaire rods, and pattern blocks. For example, one can teach the method of completing the square by using algebra tiles. Cuisenaire rods can be used to teach fractions, and pattern blocks can be used to teach geometry.
Every multiple of a semiperfect number is semiperfect. [1] A semiperfect number that is not divisible by any smaller semiperfect number is called primitive.; Every number of the form 2 m p for a natural number m and an odd prime number p such that p < 2 m+1 is also semiperfect.
Demonstration, with Cuisenaire rods, that 1, 2, 8, 9, and 12 are refactorable. A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that (). The first few refactorable numbers are listed in (sequence A033950 in the OEIS) as
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