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Virtual math manipulatives are sometimes included in the general academic curriculum as assistive technology for students with physical or mental disabilities. [4] Students can still participate in activities using virtual manipulatives if they are unable to engage in physical activity.
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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.
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Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra.These tiles have proven to provide concrete models for elementary school, middle school, high school, and college-level introductory algebra students.
A geoboard is a mathematical manipulative used to explore basic concepts in plane geometry such as perimeter, area and the characteristics of triangles and other polygons. It consists of a physical board with a certain number of nails half driven in, around which are wrapped geo bands that are made of rubber. Normal rubber bands can also be used.
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Visual representations, manipulatives, gestures, and to some degree grids, can support qualitative reasoning about mathematics. Instead of only emphasizing computational skills, multiple representations can help students make the conceptual shift to the meaning and use of, and to develop algebraic thinking.
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