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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.
Base Ten blocks for math. Virtual manipulatives for mathematics are digital representations of physical mathematics manipulatives used in classrooms. [1] The goal of this technology is to allow learners to investigate, explore and derive mathematical concepts using concrete models. [2] [3]
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.
ThinkBlocks are also part of a class of educational tools called tactile manipulatives. Tactile manipulatives are popular in math subjects (especially in the elementary grades) and in Montessori education. ThinkBlocks were designed to be used in any grade and any topic thereby extending the range of use of tactile manipulatives.
Physically manipulating objects is an important technique used in learning basic mathematic principles, particularly at the early stages of cognitive development. Studies have shown that the use of base ten blocks, as with other mathematical manipulatives, decreases as students move into higher grades. [6]
Gestures constitute an integral aspect of knowing and learning. Arising from his studies of learning in high school science laboratories and hands-on elementary school activities, Roth showed how students' scientific knowledge arises from what initially are simply manipulative movements and hand movements to explore and learn about the natural ...
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