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Multiplication and Calculus

Through the placement of the single digit multiplication facts within the first quadrant of the Cartesian coordinate system connections between arithmetic and calculus become visible. Consider the similarities between the product as the area of a 5 by 6 rectangle and the area under the curve of the constant function, f(x) = 6, over the […]

Geometry and Algebra

“Cogito ergo sum” is the phrase that so many  associate with Descartes. His work on the development of the coordinate system, however, deserves even more attention. Where would math be without it? The more I consider the usefulness of the coordinate system, the more valuable it appears.