Author(s)

Rongbing Yue ¹

Affiliation(s)

¹ Nantong University, Nantong City, Jiangsu Province, China

Corresponding Author

Rongbing Yue

ABSTRACT

From the point of view of the history of mathematics, this paper discusses the development of the method and its application in various fields. First, this paper goes back to ancient times and summarizes the early application of the algorithm in ancient Greece, China, India and other civilizations, thus revealing the deep historical background of the algorithm. Then, the paper analyzes the basic theory and definition of the method in number theory in detail, and systematically combs the relationship between it and prime number, the greatest common divisor and other important mathematical concepts. In particular, this paper focuses on the introduction of Euclidean algorithm, and emphasizes its core position and key role in the field of number theory. Finally, this paper further discusses the wide application of the method in modern science, including the practical application and significance in many fields such as computer science, cryptography and communication. Through the comprehensive analysis of its historical origin and modern application, this paper fully demonstrates its significant position and far-reaching influence in the history of mathematics and modern science.

KEYWORDS

Division algorithm; mathematical history; ancient algorithm; Euclidean algorithm

CITE THIS PAPER

Rongbing Yue, History of primary school mathematics—Take the history of division algorithm an example. Curriculum and Teaching Methodology (2024) Vol. 7: 151-155. DOI: http://dx.doi.org/10.23977/curtm.2024.070422.

REFERENCES

[1] Yan Jiali. Tracing the origin of "shifting the division algorithm" and "Changing phase Reduction" - How do teachers interpret textbooks [J]. Middle School Mathematics Journal, 2012, (11): 8-11.
[2] Yan Jiajia'. The different presentation of the division method in history [D]. Shanxi Normal University, 2012.
[3] Duan Qing. The "more impairment" technique is not the "tossing and turning" method [J]. Guizhou Education, 1998, (09): 37.
[4] Wang Yuxin. Practical application of division algorithm method in computer programming [J]. Digital Technology and Application, 2016, (03): 116. DOI:10.19695/j.cnki.cn12-1369.2016.03.079.
[5] Chen Zhantie. A matrix expression calculated by tossing and turn division [J]. Journal of Liaoning Provincial College of Communications, 2015, 17 (05): 32-33 + 39.

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