In competency-based education, you develop carefully organized sets of competencies students should attain, organize them in prerequisite order, and plan a school program that helps students attain those competencies. In mathematics, they must be mathematics competencies-attainable and testable. The mathematics education program in a school district should be under the supervision of a capable mathematics coordinator. No person should be employed by a school district as mathematics coordinator unless he or she has a strong academic background in the study of mathematics. This means that the person fully and completely understands the following eight statements.
Space is an infinite set of points forming a mathematical model of the universe.
A point is a location in that space. Geometry is the study of the structure of space and the properties of its subsets. All of mathematics incorporates the language used to describe these subjects. Functions are relationships between specified sets of points in lines and curves of space and subsets of space. Arithmetic is the study of equally space points in a straight line.