A Layer Framework to Investigate Student Understanding and Application of the Existence and Uniqueness Theorems of Differential Equations

Autor/in	Raychaudhuri, D.
Titel	A Layer Framework to Investigate Student Understanding and Application of the Existence and Uniqueness Theorems of Differential Equations
Quelle	In: International Journal of Mathematical Education in Science and Technology, 38 (2007) 3, S.367-381 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Equations (Mathematics); Calculus; Mathematical Formulas; Mathematical Concepts; Phenomenology; Hermeneutics; Student Attitudes; Concept Mapping; Demonstrations (Educational); Background + Suchen Sie Ihr Suchwort? Equations; Mathematics; Gleichungslehre; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematische Formel; Phenomenological psychology; Phänomenologie; Psychologie; Hermeneutik; Schülerverhalten; Concept Map; Demonstrationsexperiment; Demonstrationsmodell; Demonstrationsunterricht; Hintergrundinformation
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. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10