A Method for Using Adjacency Matrices to Analyze the Connections Students Make Within and Between Concepts: The Case of Linear Algebra

A Method for Using Adjacency Matrices to Analyze the Connections Students Make Within and Between Concepts: The Case of Linear Algebra

The central goals of most introductory linear algebra courses are to develop students' proficiency with matrix techniques, to promote their understanding of key concepts, and to increase their ability to make connections between concepts. The authors present an innovative method using adjacency...

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Veröffentlicht in:Journal for research in mathematics education 2014-11, Vol.45 (5), p.550-583
Hauptverfasser: Selinski, Natalie E, Rasmussen, Chris, Wawro, Megan, Zandieh, Michelle
Format: Artikel
Sprache:eng
Schlagworte:
Adjacency matrix
Algebra
College Mathematics
Concept Formation
Determinants
Interviews
Introductory Courses
Linear algebra
Mathematical Concepts
Mathematical Logic
Mathematical vectors
Mathematics education
Mathematics Instruction
Mathematics Skills
Matrices
Teaching Methods
United States (Southwest)
Vertices
Video Technology
Zero vectors
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Zusammenfassung:The central goals of most introductory linear algebra courses are to develop students' proficiency with matrix techniques, to promote their understanding of key concepts, and to increase their ability to make connections between concepts. The authors present an innovative method using adjacency matrices to analyze students' interpretation of and connections between concepts.
ISSN:0021-8251
1945-2306
DOI:10.5951/jresematheduc.45.5.0550