Cmap
An Undergraduate Student's Understanding of Differential Equations through Concept Maps and Vee Diagrams

Afamasaga-Fuata’i, Karoline (2004) An Undergraduate Student's Understanding of Differential Equations through Concept Maps and Vee Diagrams. In: Concept Maps: Theory, Methodology, Technology. Proc. of the First Int. Conference on Concept Mapping. Universidad Pública de Navarra, Pamplona, Spain, pp. 21-30. ISBN 84-9769-064-8

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Abstract

The paper presents the case of a student (Nat) who participated in a semester long study which investigated the impact of using concept maps and vee diagrams on students’ understanding of advanced mathematics topics. Through the construction of concept maps and vee diagrams, Nat realized that there was a need for him to deeply reflect on what he really knows, determine how to use what he knows, identify when to use which knowledge, and be able to justify why using valid mathematical arguments. He found that simply knowing formal definitions and mathematical principles verbatim did not necessarily guarantee an in-depth understanding of the complexity of inter-connections and inter-linkages between mathematical concepts and procedures. During seminar presentations and one-on-one consultations, Nat found that using the constructed concept maps and vee diagrams greatly facilitated discussions, critiques, dialogues and communication. The paper discusses the results from this case study and some implications for teaching mathematics.

Item Type: Book Section
Uncontrolled Keywords: Paper, CMC2004, Concept Maps in Math Education,
Subjects: L Education > L Education (General)
L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools
Q Science > QA Mathematics
Divisions: UNSPECIFIED
Depositing User: Mr. Ernest Prats
Date Deposited: 17 Aug 2012 21:21
Last Modified: 29 Sep 2014 20:45
URI: http://eprint.ihmc.us/id/eprint/90

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