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2. Manipulative (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Manipulative_(mathematics...

   Improvised teacher-made manipulatives used in teaching place value include beans and bean sticks, or single popsicle sticks and bundles of ten popsicle sticks. Virtual manipulatives for mathematics are computer models of these objects. Notable collections of virtual manipulatives include The National Library of Virtual Manipulatives and the ...

3. Virtual manipulatives for mathematics - Wikipedia

   en.wikipedia.org/wiki/Virtual_manipulatives_for...

   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.

4. Geoboard - Wikipedia

   en.wikipedia.org/wiki/Geoboard

   A wooden 3 × 3 geoboard A plastic 5 × 5 geoboard. 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.

5. Algebra tile - Wikipedia

   en.wikipedia.org/wiki/Algebra_tile

   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.

6. Base ten blocks - Wikipedia

   en.wikipedia.org/wiki/Base_ten_blocks

   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]

7. Multiple representations (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Multiple_representations...

   The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.