This paper examines the extent to which mathematical knowledge, and its related pedagogy, is inextricably linked to the tools--physical, virtual, cultural--in which it is expressed. Our goal is to focus on a few exemplars of computational tools, and to describe with some illustrative examples, how mathematical meanings are shaped by their use. We…

Notes contemporary models of human development have expanded to address a wider set of issues underlying personal change. Discusses the social cognitive model of self-regulatory development. Emphasizes the crucial development of self-regulatory competence: the point at which the processes of development become fully and reciprocally interactive…

Reviews Karmiloff-Smith's "Beyond Modularity," suggesting that her work highlights phenomena that seem counter intuitive when regarded from current developmental frameworks, and advocates that understanding them requires more complex perspectives than can be supported by either extreme nativist or domain-general models of cognitive…

Delineates the continuing controversy between development and learning, and notes the evidence accumulating for some type of continuum in the processes. Introduces 10 research papers on reconceptualizing the intersection of the two processes and states the arguments for debate and presentation. (ET)

Sees learning as a component of development. Explains how cognitive growth can result from dialectical interactions among modes of learning and attentional mental capacity, and that these modes and components of attention relate to contextual function areas which, being neuropsychological units, can be clarified as to function by connectionist…

Draws on recent work leading to new conceptions of learning, induction, transfer, and strategy acquisition. Contends learning is no longer simply the acquisition of behaviors, but also includes storing knowledge about relations in the world, and acquiring structural representations and mental models. Sees learning and the growth of processing…