We explore some key constructs and research themes initiated by Jim Kaput, and attempt to illuminate them further with reference to our own research. These "design principles" focus on the evolution of digital representations since the early 1990s, and we attempt to take forward our collective understanding of the cognitive and cultural…

Described is the attempt to identify relationships between pedagogy and student behavior in a mathematical microworld. The patterns of teaching associated with LOGO-based computer activities involving ratio and proportion and the teachers role in helping students bridge the gap between LOGO- and school-mathematics practices are explored. (MDH)

Analyzes the notion of structuring resources and their role in shaping mathematical activity. Examines ways in which nurses conceptualize ratio and proportion problems and provides a case study of two nurses discussing conflicting strategies when monitoring the fluid balance of a patient. Draws out some implications for the design of viable…