There are numerous theories that offer cognitive processes of students of mathematics, all documenting various ways to describe knowledge acquisition leading to successful transitions from one stage to another, be it characterized by Dubinsky's encapsulation, Sfard's reification or Piaget's equilibration. We however are interested in the following…

This article examines arts participation as a context for youth to develop purpose. Two analyses were conducted of interviews with arts-involved youth to explore the relationship between their arts participation and purpose, which was defined as an "intention to accomplish something that is both meaningful to the self and contributes to the…

Radical constructivists advocate discovery-based pedagogical regimes that enable students to incrementally and continuously adapt their cognitive structures to the instrumented cultural environment. Some sociocultural theorists, however, maintain that learning implies discontinuity in conceptual development, because novices must appropriate expert…