Coordinates are used to describe the position of points on a grid. The main horizontal line on the grid is known as the x-axis and the main vertical line is the y-axis. Both axes are number lines with ...

This paper reports on a project to improve Beginning Algebra students' understanding of basic algebraic concepts through fully integrated use of the TI-83 graphing calculator. The methodology ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

If an equation can be rearranged into the form \(y = mx + c\), then its graph will be a straight line. In the above: \(x + y = 3\) can be rearranged as \(y = 3 - x\) (which can be re-written as \(y = ...

Algebra has long been a fundamental part of any high school math curriculum. In many places it's become a fundamental part of the middle school math curriculum, too. In recent years, more students ...

In 1980 Lusztig proved a stabilisation property of the affine Kazhdan-Lusztig polynomials. In this paper we give a categorical version of such a result using the theory of sheaves on moment graphs.