Encouraging students to reason with quantitative relationships can help them develop, understand, and explore mathematical models of real-world phenomena. Through two examples--modeling the motion of a speeding car and the growth of a Jactus plant--this article describes how teachers can use six practical tips to help students develop quantitative…

Discusses the link between the theoretical principles of constructivism, the practice of instructional design, and the practice of teaching. Defines constructivism, lists three primary principles of learning and understanding, identifies eight instructional principles needed for the design of constructivist learning environments, and presents a…

Discusses an approach to learning that uses well-selected problems to capture student interest and challenge their intellect. Presents an example of the problem-centered approach and discusses ways in which it helps all students learn important mathematical concepts and skills. (KHR)

Observes that most educators agree that an essential goal of education is the development of students who are effective problem solvers. Describes Problem Based Learning (PBL) environments where students act as professionals and confront problems as they occur. Outlines the stages of PBL and provides a bibliography for further reading. (DSK)