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  2. Multiple representations (mathematics education) - Wikipedia

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

    Carnegie Learning curriculum is an example of emphasis on multiple representations and use of computer tools. [16] More specifically, Carnegie learning focuses the student not only on solving the real life scenarios presented in the text, but also promotes literacy through sentence writing and explanations of student thinking.

  3. Manipulative (mathematics education) - Wikipedia

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

    For example, three green triangles make a red trapezoid; two red trapezoids make up a yellow hexagon; a blue rhombus is made up of two green triangles; three blue rhombi make a yellow hexagon, etc. Playing with the shapes in these ways help children develop a spatial understanding of how shapes are composed and decomposed, an essential ...

  4. 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 with disabilities are often able to still participate in activities using virtual manipulatives even if they are unable to engage in physical activity.

  5. Mathematical visualization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_visualization

    The Mandelbrot set, one of the most famous examples of mathematical visualization. Mathematical phenomena can be understood and explored via visualization. Classically, this consisted of two-dimensional drawings or building three-dimensional models (particularly plaster models in the 19th and early 20th century).

  6. FOIL method - Wikipedia

    en.wikipedia.org/wiki/FOIL_method

    William Betz was active in the movement to reform mathematics in the United States at that time, had written many texts on elementary mathematics topics and had "devoted his life to the improvement of mathematics education". [3] Many students and educators in the US now use the word "FOIL" as a verb meaning "to expand the product of two ...

  7. Mathematical beauty - Wikipedia

    en.wikipedia.org/wiki/Mathematical_beauty

    For example, Math Circles are after-school enrichment programs where students engage with mathematics through lectures and activities; there are also some teachers who encourage student engagement by teaching mathematics in kinesthetic learning. In a general Math Circle lesson, students use pattern finding, observation, and exploration to make ...

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