Search results for author:"Debasree Raychaudhuri"
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A Framework to Categorize Students as Learners Based on their Cognitive Practices while Learning Differential Equations and Related Concepts
Debasree Raychaudhuri
International Journal of Mathematical Education in Science and Technology Vol. 44, No. 8 (2013) pp. 1239–1256
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 ...
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Adaptation and Extension of the Framework of Reducing Abstraction in the Case of Differential Equations
Debasree Raychaudhuri
International Journal of Mathematical Education in Science and Technology Vol. 45, No. 1 (2014) pp. 35–57
Although there is no consensus in regard to a unique meaning for abstraction, there is a recognition of the existence of several theories of abstraction, and that the ability to abstract is imperative to learning and doing meaningful mathematics....
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Dynamics of a Definition: A Framework to Analyse Student Construction of the Concept of Solution to a Differential Equation
Debasree Raychaudhuri
International Journal of Mathematical Education in Science and Technology Vol. 39, No. 2 (March 2008) pp. 161–177
In this note we develop a framework that makes explicit the inherent dynamic structure of certain mathematical definitions by means of the four facets of context-entity-process-object. These facets and their interrelations are then used to capture...