This paper describes an approach for pre-service or in-service mathematics education that teaches sophisticated mathematics using only the tools of high school mathematics. The idea is to start with a standard problem from high school mathematics and let the solution to this problem serve as a platform for asking good mathematical questions and…

Advocates the Ausubelian approach to preschool education, as it combines traditional child-centered and teacher-centered preschool settings, and influences of Bruner and Piaget. Focuses on the use of the advance organizer lesson to assist students in making basic concept connections. Notes positive effects on student stimulation, interaction, and…

Defines inquiry, a student-centered discovery process, and introduces Pathways to Knowledge(TM), an information process model that provides stages and strategies for anyone interested in gathering, using, and evaluating information. Describes the six stages of Pathways: Appreciation, Presearch; Search; Interpretation; Communication; and…

Discussed is the classroom suitability of an open learning computer microworld centered around families of quadratic equations that provides a framework for exploring questions about parabolas to establish the link between the graphical and the algebraic representations of quadratic equations. (JJK)

The availability of user-friendly tools for designing learning environments resulted in an innovative shift of design focus. This shift has been noticed from a user-centred, although passive and reactive, design approach to a participatory, at responsibility and self-directedness directed, design approach. This latter innovative and promising…

Explored learning and instruction within a technology-rich, collaborative, participatory learning environment by tracking the emergence of shared understanding and products through student and teacher practices. Found that becoming knowledgeably skillful with respect to a particular practice or concept is a multigenerational process, evolving in…

A central premise of the discovery-learning and progressive education movements was that the child's own questions are the most appropriate starting point for instruction. Recent advances present new opportunities for discovery-oriented learning. This project has been attempting to create a classroom environment which affords students the…