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van de Sande, Carla C.; Greeno, James G. – Journal of the Learning Sciences, 2012
We use a concept of framing to explain 3 cases in which participants initially lacked mutual understanding but then achieved significant mutual understanding. The cases were all consistent with a pattern of "positional framing" that includes a human participant who is inquiring, which we call a "listener", and a "source", which may be another…
Descriptors: Cognitive Structures, Algebra, Group Dynamics, Interaction
Samson, Duncan – Mathematics Education Research Group of Australasia, 2010
This paper seeks to establish a research framework for an investigation into the extent to which pupils are able to visualise figural cues in multiple ways within the context of pattern generalisation. Enactivism, along with the constructs of knowledge objectification and figural apprehension, are identified as forming an ideal theoretical…
Descriptors: Foreign Countries, Mathematics Instruction, Visual Aids, Cues