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Retrieved from Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal -- Volume 1. pdf: Ortiz, Enrique, Eisenreich, Heidi & Tapp, Laura (2019). Physical and virtual manipulative framework conceptions of undergraduate pre-service teachers. International Journal for Mathematics Teaching and Learning, 20(1), 62-84.
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.
Some representations, such as pictures, videos and manipulatives, can motivate because of their richness, possibilities of play, use of technologies, or connections with interesting areas of life. [4] Tasks that involve multiple representations can sustain intrinsic motivation in mathematics, by supporting higher-order thinking and problem solving.
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Wooden Dienes blocks in units of 1, 10, 100 and 1000 Plastic 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 ...
ThinkBlocks can be used in multiple ways. Children can play with them as with other blocks, attaching and detaching different blocks with one another and nesting smaller blocks within larger blocks. They are also designed to be used in conjunction with the Patterns of Thinking method, as a so-called "tactile manipulative" used to model ideas. [7]
Disentanglement puzzles (also called entanglement puzzles, tanglement puzzles, tavern puzzles or topological puzzles) [1] are a type or group of mechanical puzzle that involves disentangling one piece or set of pieces from another piece or set of pieces.
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.