Emphasizing visualization and physical applications in the study of eigenvectors and eigenvalues

[1]  Günhan Caglayan.  Making sense of eigenvalue–eigenvector relationships: Math majors’ linear algebra – Geometry connections in a dynamic environment , 2015 .

[2]  R. Osborne,et al.  Learning in science : the implications of children's science , 1985 .

[3]  Anna Sierpinska,et al.  Evaluation of a teaching design in linear algebra : The case of linear transformations , 1999 .

[4]  Barbara J. Dougherty,et al.  Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education , 2020 .

[5]  Nathalie Sinclair,et al.  Using Dynamic Geometry Software to Explore Eigenvectors: The Emergence of Dynamic-Synthetic-Geometric Thinking , 2013, Technology, Knowledge and Learning.

[6]  S. Schonefeld.  Eigenpictures: Picturing the Eigenvector Problem , 1995 .

[7]  David Tall,et al.  Building Theories: The Three Worlds of Mathematics. , 2004 .

[8]  Neil Mercer,et al.  Common Knowledge: The Development of Understanding in the Classroom , 1987 .

[9]  David Tall,et al.  The transition to formal thinking in mathematics , 2008 .

[10]  Sepideh Stewart,et al.  Eigenvalues and eigenvectors: embodied, symbolic and formal thinking , 2011 .

[11]  Mike Thomas,et al.  Developing conceptual understanding and definitional clarity in linear algebra through the three worlds of mathematical thinking , 2016 .

[12]  F. Uhlig.  The Role of Proof in Comprehending and Teaching Elementary Linear Algebra , 2002 .

[13]  R. Hibbeler.  Engineering Mechanics: Dynamics , 1986 .

[14]  Anna Sierpinska,et al.  Research into the Teaching and Learning of Linear Algebra , 2001 .

[15]  Sepideh Stewart,et al.  Emphasizing language and visualization in teaching linear algebra , 2013 .

[16]  W. F. Riley,et al.  Engineering Mechanics: Statics , 1993 .