Author(s)

Shuxia Wang ¹

Affiliation(s)

¹ Beijing Institute of Petrochemical Technology, Beijing, 102617, China

Corresponding Author

Shuxia Wang

ABSTRACT

Against the backdrop of the deep integration of artificial intelligence (AI) technology into education, the problem of students' mental inertia caused by over-reliance on AI tools has become a core challenge in the teaching reform of university mathematics courses. Focusing on Linear Algebra, this paper designs teaching cases of "AI reverse tasks" targeting core knowledge points such as determinants, matrix inverses, and linear equations. By guiding students to criticize logical flaws, methodological defects, and scenario adaptation issues in AI's problem-solving processes, it explores effective paths for cultivating critical thinking. Practical results show that this teaching model can significantly improve students' ability of active thinking and knowledge application, providing practical references for the teaching reform of mathematics courses in the AI era.

KEYWORDS

AI Reverse Tasks; University Mathematics; Linear Algebra; Critical Thinking; Teaching Reform

CITE THIS PAPER

Shuxia Wang, Exploration of the Cultivation Path of Critical Thinking in University Mathematics Courses in the Artificial Intelligence Era——Taking Linear Algebra as an Example. Curriculum and Teaching Methodology (2026) Vol. 9: 1-6. DOI: http://dx.doi.org/10.23977/curtm.2026.090101.

REFERENCES

[1] Wang, J. R. Research on the reform path of Linear Algebra course under the background of integration of industry and education and digital intelligence empowerment [J]. University Education, 2025, (18): 10-16.
[2] Liu, B., Zhang, X., Jiang, Y. J. Value, dilemmas and breakthroughs in cultivating college students' innovative thinking in the era of artificial intelligence [J]. Journal of Jinggangshan University (Social Sciences Edition), 2025, 46(03): 115-122.
[3] Wu, D. J. Intelligent presence and subject dilemma: The crisis of human subjectivity and its solution in the era of artificial intelligence [J]. Theoretical Guide, 2024, (03): 74-81.
[4] Wang, Z. D., Ma, S. J. Opportunities, challenges and countermeasures of Linear Algebra teaching in the era of artificial intelligence [J]. China Journal of Multimedia & Network Teaching (First Half), 2025, (05): 182-185.
[5] Ministry of Education. Action Plan for Innovation in Artificial Intelligence in Colleges and Universities [Z]. 2018.

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