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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 ]
Here, Cuisenaire rods are used, particularly with beginners, to create visible and tangible situations from which the students can induce the structures of the language. The silence of the teacher both gives the students room to explore the language and frees the teacher to observe the students.
English: Cuisenaire rod diagram of common ratios produced by five-limit tuning and their assigned notes, with C as base note. Blue captions indicate building blocks: octave in white, perfect fifth in light blue and major third in dark blue.
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.
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. If d(n) denotes the number of divisors of a positive integer n, then a positive integer N is highly composite if d(N) > d(n) for all n < N.
Demonstration, with Cuisenaire rods, of the 2-almost prime nature of the number 6. In number theory, a natural number is called k-almost prime if it has k prime factors. [1] [2] [3] More formally, a number n is k-almost prime if and only if Ω(n) = k, where Ω(n) is the total number of primes in the prime factorization of n (can be also seen as the sum of all the primes' exponents):
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