Author(s)

Min Zhang ¹

Affiliation(s)

¹ School of Science, Hunan Institution of Technology, Hengyang, 421002, China

Corresponding Author

Min Zhang

ABSTRACT

This study aims to explore the application and effectiveness of a geometric perspective in teaching linear algebra. Traditional linear algebra education often emphasizes algebraic calculations and symbolic derivations, while neglecting the important geometric applications of linear algebra. It is crucial to integrate the idea of connecting numbers and shapes in linear algebra education, combining concepts such as matrices, vectors, with geometric concepts such as planes, lines, and spaces, to help students better understand and apply their knowledge of linear algebra. Using a geometric perspective in teaching linear algebra can enhance students' learning interest and effectiveness, strengthen their spatial imagination and creativity, and assist them in mastering and applying their knowledge of linear algebra. This research has certain guiding significance and practical value for improving the teaching of linear algebra courses.

KEYWORDS

Linear algebra, geometric intuition, connecting numbers and shapes, teaching methods, analytic geometry

CITE THIS PAPER

Min Zhang, Illustrated Difficulties in Teaching Linear Algebra. Curriculum and Teaching Methodology (2024) Vol. 7: 184-189. DOI: http://dx.doi.org/10.23977/curtm.2024.070127.

REFERENCES

[1] Hu Jinyan, Zeng Zhaoying, Song Guoliang. Linear Algebra [M]. Beijing: Beijing University of Posts and Telecommunications Press, 2012.
[2] Mathematics Department of Tongji University. Linear Algebra (6th Edition) [M]. Beijing: Higher Education Press, 2014. 
[3] Liu Jinwang. Linear Algebra [M]. Shanghai: Fudan University Press, 2007.

Sponsors, Associates, and Links

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• Advances in Educational Technology and Psychology
  
  
• Transactions on Comparative Education
  
  
• Applied & Educational Psychology
  
  
• Advances in Vocational and Technical Education
  
  
• Adult and Higher Education