Although hypothetical learning trajectories (HLTs) are often viewed as a valuable instructional tool, little research has directly evaluated their value. A basic assumption of HLTs is that ordering instructional activities by developmental difficulty enhances learning. A randomized control trial (RCT) served to evaluate this assumption with a…

It might be said that for most occupations there is now less of a need for mathematics than there was say fifty years ago. But, the author argues, geometry, probability, and statistics constitute essential knowledge for everyone. Maybe not the geometry of Euclid, but certainly geometrical ways of thinking that might enable us to describe the world…

Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that…

This article describes an approach whereby patterns are used to describe management issues and solutions to be used during the project management of team-based software development. The work describes how web 2.0 technologies have been employed to support the use and development of such patterns. To evaluate the success of patterns and the…

Matisse's use of bright colors and strong pattern is an instant motivator for elementary students. He effectively balances colors and simple shapes. This lesson, designed for 3rd graders, is an example of how art studio experiences for young students can draw upon art history. Sections include: (1) Discovering Patterns; (2) Planning Special…

Describes apparatus and procedures to design and construct a "printing box" as a graphic arts project to make color prints on T-shirts using photography, indirect and direct photo screen methods, and other types of stencils. Step-by-step photographs illustrate the process. (MF)