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A Structural Analysis of Students' Epistemic Views.
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Ruthven, Kenneth; Coe, Robert – Educational Studies in Mathematics, 1994
Views of (n=70) 16- and 17-year olds on mathematical knowledge, activity, and learning were analyzed using factorial techniques. Findings suggest there was no simple systematic relationship between beliefs about the nature of mathematical knowledge and the teaching and learning of mathematics. (19 references) (Author/MKR)
Descriptors: Beliefs, Cognitive Structures, Learning Processes, Mathematics Education
On the Dual Nature of Mathematical Conceptions: Reflections on Processes and Objects as Different Sides of the Same Coin.
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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
The Arithmetic Connection.
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Lee, Lesley; Wheeler, David – Educational Studies in Mathematics, 1989
Used are test and interview data to extract evidence as to what level tenth graders have coordinated the worlds of arithmetic and algebra and can move freely between them. More dissociation is shown than was expected. (Author/MVL)
Descriptors: Algebra, Arithmetic, Cognitive Structures, Concept Formation