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International Journal of Mathematical Education in Science and Technology Volume 21, 1990 - Issue 3
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Original Articles

Using geometric models and vector arithmetic to teach high‐school students basic notions in linear algebra

Guershon Harel Department of Curriculum and Instruction, Perdue University, West Lafayette, Indiana, 47907, U.S.A.
Pages 387-392 | Published online: 09 Jul 2006

Citations (14)

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Read on this site (3)

Günhan Caglayan. (2018) Linear Algebra Students' Understanding of Similar Matrices and Matrix Representations of Linear Transformations in a MATLAB-Assisted Learning Environment. Computers in the Schools 35:3, pages 204-225.
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Christine Andrews-Larson, Megan Wawro & Michelle Zandieh. (2017) A hypothetical learning trajectory for conceptualizing matrices as linear transformations. International Journal of Mathematical Education in Science and Technology 48:6, pages 809-829.
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Jean-Luc Dorier, Aline Robert, Jacqueline Robinet & Marc Rogalski. (2000) On a research programme concerning the teaching and learning of linear algebra in the first-year of a French science university. International Journal of Mathematical Education in Science and Technology 31:1, pages 27-35.
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Articles from other publishers (11)

Gökay AÇIKYILDIZ & Temel KÖSA. (2021) Creating Design Principles of a Learning Environment for Teaching Vector Spaces. Turkish Journal of Computer and Mathematics Education (TURCOMAT).
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DurgaPrasad Karnam, Harshit Agrawal, Pranay Parte, Saurabh Ranjan, Aniket Sule & Sanjay Chandrasekharan. (2019) Touchy Feely Affordances of Digital Technology for Embodied Interactions Can Enhance 'Epistemic Access'. Touchy Feely Affordances of Digital Technology for Embodied Interactions Can Enhance 'Epistemic Access'.
Günhan Caglayan. (2019) Is it a subspace or not? Making sense of subspaces of vector spaces in a technology-assisted learning environment. ZDM 51:7, pages 1215-1237.
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Guershon Harel. (2018) Varieties in the use of geometry in the teaching of linear algebra. ZDM 51:7, pages 1031-1042.
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Günhan Caglayan. (2018) Coordinating analytic and visual approaches: Math majors’ understanding of orthogonal Hermite polynomials in the inner product space in a technology-assisted learning environment . The Journal of Mathematical Behavior 52, pages 37-60.
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Günhan Caglayan. (2018) Coordinating representation registers: linear algebra students' understanding of orthogonal Legendre polynomials in the inner product space. Annales de didactique et de sciences cognitives:23, pages 137-178.
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Ivonne Sandoval & Edgar Possani. (2016) An analysis of different representations for vectors and planes in ℝ 3 $\mathbb {R}^{3}$. Educational Studies in Mathematics 92:1, pages 109-127.
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Günhan Caglayan. (2015) Making sense of eigenvalue–eigenvector relationships: Math majors’ linear algebra – Geometry connections in a dynamic environment. The Journal of Mathematical Behavior 40, pages 131-153.
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Guershon Harel. 2010. Theories of Mathematics Education. Theories of Mathematics Education 343 367 .
David Carlson. 2004. The Future of the Teaching and Learning of Algebra The 12th ICMI Study. The Future of the Teaching and Learning of Algebra The 12th ICMI Study 293 309 .
Michèle Artigue, Ghislaine Chartier & Jean-Luc Orier. 2002. On the Teaching of Linear Algebra. On the Teaching of Linear Algebra 247 271 .

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