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2. Free algebra - Wikipedia

   en.wikipedia.org/wiki/Free_algebra

   For example, X 1 X 2 does not equal X 2 X 1. More generally, one can construct the free algebra R E on any set E of generators. Since rings may be regarded as Z-algebras, a free ring on E can be defined as the free algebra Z E . Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional ...

3. 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.

4. Algebra tile - Wikipedia

   en.wikipedia.org/wiki/Algebra_tile

   An example of multiplying binomials is (2x+1)×(x+2) and the first step the student would take is set up two positive x tiles and one positive unit tile to represent the length of a rectangle and then one would take one positive x tile and two positive unit tiles to represent the width. These two lines of tiles would create a space that looks ...

5. Russian School of Mathematics - Wikipedia

   en.wikipedia.org/wiki/Russian_School_of_Mathematics

   Together, they created a math education program based on quality and depth. [7] According to the website, they "Sparked a Movement." In 1997, the first class was held at Ms. Rifkin's kitchen table, also said to be in her living room, [8] outside of Boston, Massachusetts. In October 1999, their first dedicated school building was established in ...

6. 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.

7. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   [1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed values).