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The Concept of Chance in Everyday Teaching: Aspects of a Social Epistemology of Mathematical Knowledge.
Peer reviewed Peer reviewed
Steinbring, Heinz – Educational Studies in Mathematics, 1991
An attempt is made to elaborate on the connections and differences between the objective and subjective elements of mathematical knowledge using case study analysis relative to how an epistemological perspective about probability and randomness impacts upon a short classroom teaching episode. (19 references) (Author/JJK)
Descriptors: Aptitude Treatment Interaction, Case Studies, Classroom Environment, Classroom Techniques
On the Dual Nature of Mathematical Conceptions: Reflections on Processes and Objects as Different Sides of the Same Coin.
Peer reviewed Peer reviewed
Sfard, Anna – Educational Studies in Mathematics, 1991
This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…
Descriptors: Algorithms, Cognitive Development, Cognitive Structures, Concept Formation