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ERIC Number: EJ1021760
Record Type: Journal
Publication Date: 2013
Pages: 11
Abstractor: As Provided
ISSN: ISSN-0020-739X
The Use of Graphs in Specific Situations of the Initial Conditions of Linear Differential Equations
Buendía, Gabriela; Cordero, Francisco
International Journal of Mathematical Education in Science and Technology, v44 n6 p927-937 2013
In this article, we present a discussion on the role of graphs and its significance in the relation between the number of initial conditions and the order of a linear differential equation, which is known as the initial value problem. We propose to make a functional framework for the use of graphs that intends to broaden the explanations of the traditional analytical frames that are widely favoured in school mathematics. As a result, the different forms and functions of graphs support their redefinition in a specific situation of the initial conditions. To that end, graphs are presented as a means to explore the nature of differential equations; thus, considering an epistemology based on the uses of graphs to explain the construction of mathematical knowledge.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A