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...e some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appro ...thematical manipulatives are frequently used in the first step of teaching mathematical concepts, that of concrete representation. The second and third steps are r ...

...rithmetic With Letters: A Definition of Prealgebra|url=|journal=Journal of Mathematical Behavior|volume=14|pages=113–120|doi=10.1016/0732-3123(95)90026-8}}</ref> ...e-Algebra and Algebra Concepts to Community College Students Using Virtual Manipulatives|url=|journal=The Electronic Journal of Mathematics and Technology|volume=8| ...

...d in favor of [[invented arithmetic]] methods, and methods using coloring, manipulatives, and charts. Such omissions were criticized by such groups as [[Mathematica ...r one-dependent determinantal processes) |journal=Bulletin of the American Mathematical Society |volume=47 |issue=4 |pages=639–670 |doi=10.1090/S0273-0979-2010-013 ...

...aught until children have had an opportunity to explore and understand how mathematical principles work, usually by first inventing their own methods for solving p ...zed. The 1989 standards encouraged writing in order to learn expression of mathematical ideas. All students were expected to master enough mathematics to succeed i ...

....jsp |archivedate=2013-01-23 }}</ref> way to explore mathematics and learn mathematical concepts, such as the four basic [[arithmetic]]al operations, working with ...zing them. Seeing that the rods allowed pupils "to expand on their latent mathematical abilities in a creative and enjoyable fashion", Gattegno's pedagogy shifted ...

{{About|the mathematical concept|the typesetting practice|Printer's key}} ...to {{math|'''R'''}}. This statement has been shown to be [[independence (mathematical logic)|independent]] of the standard axiomatic system of [[set theory]] kno ...

...date=November 1942 |title=A Theorem on the Tangram |journal=[[The American Mathematical Monthly]] |volume=49 |issue=9 |pages=596–599 |jstor=2303340|doi=10.2307/230 *[[Mathematical puzzle]] ...

...of twenty key images|title-link= Icons of Mathematics |date=2011|publisher=Mathematical Association of America|location=[Washington, D.C.]|isbn=978-0883853528|page ...h he popularised, are part of a way of systematically developing students' mathematical thinking through the exploration of clear and tangible problems. ...

[[Category:Mathematical manipulatives]] ...

...i=10.1093/OED/1127700997 |quote=A relation between two quantities or other mathematical expressions stating that the two are the same; (also) an expression of such ...or through [[set theory]]. In logic, equality is a primitive [[Predicate (mathematical logic)|predicate]] (a [[Statement (logic)|statement]] that may have [[free ...

...s. They should be encouraged to use [[Manipulative (mathematics education)|manipulatives]] and to think through the whys and wherefores of solving word problems—in ...

...f binary arithmetic on [[computer]]s. Some arithmetic systems operate on [[mathematical object]]s other than numbers, such as [[interval arithmetic]] and [[Matrix ...d a more abstract study of numbers and introduced the method of rigorous [[mathematical proof]]s. The [[ancient India]]ns developed the concept of [[zero]] and the ...