Abstract

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 and interpret specific aspects of student constructions of the concept of solution to first order differential equations. (Contains 1 figure.)

Citation

Raychaudhuri, D. (2008). Dynamics of a Definition: A Framework to Analyse Student Construction of the Concept of Solution to a Differential Equation. International Journal of Mathematical Education in Science and Technology, 39(2), 161-177. Retrieved August 9, 2024 from https://www.learntechlib.org/p/166559/.

This record was imported from ERIC on December 3, 2015. [Original Record]

ERIC is sponsored by the Institute of Education Sciences (IES) of the U.S. Department of Education.

Copyright for this record is held by the content creator. For more details see ERIC's copyright policy.

Keywords

• Calculus
• Cognitive Processes
• Computation
• Cues
• Data Interpretation
• Definitions
• Discovery Processes
• Feedback (Response)
• Interviews
• mathematics education
• models
• problem solving
• student attitudes
• undergraduate students