Vectors, change of basis and matrix representation: onto-semiotic approach in the analysis of creating meaning

In a previous study, the onto-semiotic approach was employed to analyse the mathematical notion of different coordinate systems, as well as some situations and university students' actions related to these coordinate systems in the context of multivariate calculus. This study approaches differe...

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Bibliographic Details
Published in:International journal of mathematical education in science and technology 2012-01, Vol.43 (1), p.11-32
Main Authors: Montiel, Mariana, Wilhelmi, Miguel R., Vidakovic, Draga, Elstak, Iwan
Format: Article
Language:English
Subjects:
Algebra
Calculus
change of basis
College Mathematics
College Students
Geometric Concepts
Geometry
Linear algebra
Linguistic Theory
Mathematical Concepts
mathematical language
Mathematics Education
Matrices
onto-semiotic approach
semiotic systems and registers
Semiotics
similar matrices
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Summary:In a previous study, the onto-semiotic approach was employed to analyse the mathematical notion of different coordinate systems, as well as some situations and university students' actions related to these coordinate systems in the context of multivariate calculus. This study approaches different coordinate systems through the process of change of basis, as developed in the context of linear algebra, as well as the similarity relationship between the matrices that represent the same linear transformation with respect to different bases.
ISSN:0020-739X
1464-5211
DOI:10.1080/0020739X.2011.582173