My task is to reflect on the papers in the two Special Issues on "Representations and the Psychology of Mathematics Education," Journal of Mathematical Behavior Vol. 17, Numbers 1 and 2, especially… (More)

This paper suggests that from a cognitive-evolutionary perspective, computational media are qualitatively different from many of the technologies that have promised educational change in the past and… (More)

The biggest advantage of the World Wide Web (WWW) is seemingly effortless integration among educational content across different sites. We need the same integration to occur in all educational… (More)

New theoretical, methodological, and design frameworks for engaging classroom learning are provoked and supported by the highly interactive and group-centered capabilities of a new generation of… (More)

S IMCALC'S mission is to enable all children to learn the mathematics of change, beginning in the early grades. This mathematics is conventionally sequestered in elite calculus courses after many… (More)

We examine the long term history of the development of fundamental representational infrastructures such as writing and algebra, and how they were physically implemented via such devices as the… (More)

This article explores how elementary teachers can use functional thinking to build algebraic reasoning into curriculum and instruction. In particular, we examine how children think about functions… (More)

Recent work by the evolutionary psychologist Merlin Donald (1991) argues that human cognition has developed across evolutionary time through a series of four distinct stages, each growing out of its… (More)

Jim Kaput lived a full life in mathematics education and we have many reasons to be grateful to him, not only for his vision of the use of technology in mathematics, but also for his fundamental… (More)

This article reports on a study aiming to design learning systems in which students' knowledge of reflection is brought closer to institutional knowledge of this isometry and to compare how their… (More)