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  2. Principles and Standards for School Mathematics - Wikipedia

    en.wikipedia.org/wiki/Principles_and_Standards...

    The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]

  3. National Council of Teachers of Mathematics - Wikipedia

    en.wikipedia.org/wiki/National_Council_of...

    In 1944, NCTM created a postwar plan to help World War II have a lasting effect on math education. Grades 1-6 were considered crucial years to build the foundations of math concepts with the main focus on algebra. In the war years, algebra had one understood purpose: to help the military and industries with the war effort.

  4. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [3] while many complete high school without passing Calculus or Statistics.

  5. Univalent function - Wikipedia

    en.wikipedia.org/wiki/Univalent_function

    One can prove that if and are two open connected sets in the complex plane, and : is a univalent function such that () = (that is, is surjective), then the derivative of is never zero, is invertible, and its inverse is also holomorphic.

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  7. Bilinear form - Wikipedia

    en.wikipedia.org/wiki/Bilinear_form

    The dot product on is an example of a bilinear form which is also an inner product. [1] An example of a bilinear form that is not an inner product would be the four-vector product. The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms.

  8. Square packing - Wikipedia

    en.wikipedia.org/wiki/Square_packing

    [1] Some numbers of unit squares are never the optimal number in a packing. In particular, if a square of size a × a {\displaystyle a\times a} allows the packing of n 2 − 2 {\displaystyle n^{2}-2} unit squares, then it must be the case that a ≥ n {\displaystyle a\geq n} and that a packing of n 2 {\displaystyle n^{2}} unit squares is also ...

  9. Module (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Module_(mathematics)

    A module is called flat if taking the tensor product of it with any exact sequence of R-modules preserves exactness. Torsionless A module is called torsionless if it embeds into its algebraic dual. Simple A simple module S is a module that is not {0} and whose only submodules are {0} and S. Simple modules are sometimes called irreducible. [5 ...