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Virtual manipulatives for mathematics are digital representations of mathematics manipulatives based on the physical manipulatives used in classrooms. [1] They are generally used to introduce mathematical concepts using visuals and are used for teaching students new topics that may be more difficult to explain in other ways.
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 use of manipulatives in mathematics classrooms ...
Pattern Blocks are a set of mathematical manipulatives developed in the 1960s. The six shapes are both a play resource and a tool for learning in mathematics, which serve to develop spatial reasoning skills that are fundamental to the learning of mathematics. Among other things, they allow children to see how shapes can be composed and ...
Dienes blocks in use. Base ten blocks, also known as Dienes blocks after popularizer Zoltán Dienes (Hungarian: [ˈdijɛnɛʃ]), are a mathematical manipulative used by students to practice counting and elementary arithmetic and develop number sense in the context of the decimal place-value system as a more concrete and direct representation than written Hindu–Arabic numerals.
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 created ...
Traditional manipulatives are now available on computers as virtual manipulatives, with many offering options not available in the physical world, such as zoom or cross-section of geometric shapes. Embodied mathematics, such as studies of numerical cognition or gestures in learning, are growing research topics in mathematics education.
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