Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra. Algebra tiles are good manipulatives to give students a hands-on approach to be used in addition to the normal way it's taught in the classroom. Using Algebra Tiles You Can “Feel” the Mathematics.
- Pictures of Algebra Tiles
The algebra tiles are made up of small squares, large squares, and rectangles. The number one is represented by the small square, which is also known as the unit tile. The rectangle represents the variable x and the large square represents x2. The length of the side of the large square is equal to the length of the rectangle, also known as the x tile. When visualizing these tiles it is important to remember that the area of a square is s2, which is the length of the sides squared. So if the length of the sides of the large square is x then it is understandable that the large square represents x2. The width of the x tile is the same length as the side length of the unit tile. The reason that the algebra tiles are made this way will become clear through understanding their use in factoring and multiplying polynomials.
These
tiles have proven to provide concrete models for elementary
school, middle school, high
school, and college-level introductory algebra students. T Algebra tiles allow both an
algebraic and geometric approach to algebraic concepts. They give students
another way to solve algebraic problems other than just abstract manipulation.[2] The National Council of
Teachers of Mathematics (NCTM) recommends a decreased emphasis on the memorization of the
rules of algebra
and the symbol manipulation of algebra in their Curriculum and Evaluation Standards for
Mathematics. According to the NCTM standards relating models to one another
builds a better understanding of
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