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A layer framework to investigate student understanding and application of the existence and uniqueness theorems of differential equations.
- Source :
- International Journal of Mathematical Education in Science & Technology; 2007, Vol. 38 Issue 3, p367-381, 15p
- Publication Year :
- 2007
-
Abstract
- The focus of this paper is on student interpretation and usage of the existence and uniqueness theorems for first-order ordinary differential equations. The inherent structure of the theorems is made explicit by the introduction of a framework of layers concepts-conditions-connectives-conclusions, and we discuss the manners in which students' understanding of these layers construct their perception of the theorems as a whole. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0020739X
- Volume :
- 38
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- International Journal of Mathematical Education in Science & Technology
- Publication Type :
- Academic Journal
- Accession number :
- 24504902
- Full Text :
- https://doi.org/10.1080/00207390601002898