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To teach integer addition and subtraction, a number line is often used. A typical positive/negative number line spans from −20 to 20. A typical positive/negative number line spans from −20 to 20. For a problem such as “−15 + 17”, students are told to “find −15 and count 17 spaces to the right”.
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.
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.
The Ubersketch is a moniker for a collection of sketches created in The Geometer's Sketchpad by the PRISM-NEO project which mimic manipulatives, such as the ones found at The National Library of Virtual Manipulatives.
Rather than adding the same number of tiles to both sides, the same number of tiles can be subtracted from both sides. For example, seven positive unit tiles can be removed from both sides. This leaves one positive x {\displaystyle x} tile on the left side and three positive unit tiles on the right side, so x = 3 {\displaystyle x=3} .
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