This course is designed to explain and connect the major concepts, procedures, and reasoning processes of mathematics. Current standards and practices in math education will be discussed to outline a teaching methodology that is conceptual, contextual, and constructive. Activities are presented to explain underlying concepts, and illustrate constructive teaching. The course has been divided into four chapters covering four math topics, i.e. integers, fractions, factoring, and functions. Emphasis is on exploring how to develop mathematical understanding in learners.