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THEORETICAL AND PRACTICAL FOUNDATIONS OF THE FORMATION OF MATHEMATICAL THINKING IN STUDENTS

Authors

  • Abdusharipov Aslbek Azamatovich Urgench city specialized boarding school No. 1

Keywords:

mathematical thinking, logical reasoning, problem-solving, cognitive development, teaching methodology, student motivation, analytical skills.

Abstract

This article explores the theoretical and practical foundations of the formation of mathematical thinking in students. The study emphasizes the role of logical reasoning, problem-solving skills, and abstract thinking in developing mathematical competence. It discusses pedagogical approaches, interactive teaching methods, and modern technologies that enhance students’ ability to understand mathematical concepts deeply. The research highlights how mathematical thinking contributes to intellectual development, analytical ability, and creativity, forming the basis for effective decision-making in academic and real-life contexts. Moreover, practical recommendations are provided for teachers to foster students’ motivation, cognitive activity, and independent learning through mathematical tasks and experiments.

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References

Polya, G. (1957). How to Solve It: A New Aspect of Mathematical Method. Princeton University Press.

Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.

Piaget, J. (1972). The Psychology of the Child. Basic Books.

Skemp, R. R. (1976). Relational Understanding and Instrumental Understanding. Mathematics Teaching, 77, 20–26.

Bruner, J. S. (1966). Toward a Theory of Instruction. Harvard University Press.

Mason, J., Burton, L., & Stacey, K. (2010). Thinking Mathematically. Pearson Education.

Tall, D. (2013). How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics. Cambridge University Press.

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Published

2025-12-30

Versions

How to Cite

Abdusharipov Aslbek Azamatovich. (2025). THEORETICAL AND PRACTICAL FOUNDATIONS OF THE FORMATION OF MATHEMATICAL THINKING IN STUDENTS. Journal of Applied Science and Social Science, 16(01), 176–177. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/2935