全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

秦九韶正负开方术在中学数学教学中的应用研究
Application and Enlightenment of Qin Jiushao’s Positive and Negative Square Root Method in Mathematics Teaching of Middle School

DOI: 10.12677/ASS.2024.132148, PP. 1100-1108

Keywords: 秦九韶,正负开方术,中学数学教学
Qin Jiushao
, Positive and Negative Square Root Method, Mathematics Teaching of Middle School

Full-Text   Cite this paper   Add to My Lib

Abstract:

本文旨在介绍秦九韶正负开方术在中学数学中的应用。通过对中国古代数学家对正负开方术的研究历史进行梳理,展示了该算法的重要性。详细介绍了秦九韶正负开方术的算理和运算程序,并结合案例研究了其在中学数学教学中的实际应用。强调了秦九韶正负开方术对于培养学生数学思维和提升数学素养的重要性。通过本文的阐述,读者可以更全面地了解秦九韶正负开方术在中学数学教学中的价值和意义。
This article aims to introduce the application of Qin Jiushao’s positive and negative square open-ing technique in middle school mathematics. By sorting out the research history of ancient Chinese mathematicians on positive and negative square opening, the importance of this algorithm was demonstrated. This article provides a detailed introduction to the calculation theory and program of Qin Jiushao’s positive and negative square opening technique, and combines it with case studies to study its practical application in middle school mathematics teaching. Emphasis was placed on the importance of Qin Jiushao’s positive and negative square opening techniques in cultivating students’ mathematical thinking and enhancing their mathematical literacy. Through the explanation in this article, readers can have a more comprehensive understanding of the value and significance of Qin Jiushao’s positive and negative square opening techniques in mathematics teaching of middle school.

References

[1]  九章算术[M]. 刘徽, 注. 李淳风, 注释. 北京: 中华书局, 1985.
[2]  陈敏, 陶会强. 宋元时期高次方程的发展[J]. 科协论坛(下半月), 2010(1): 94-95.
[3]  魏思玫, 胡砾艺, 李娜. 秦九韶算法与牛顿迭代法的比较[J]. 高等数学研究, 2022, 25(4): 28-32.
[4]  付春娟. 南宋秦九韶的数学成就[J]. 兰台世界: 上旬, 2012(19): 68-69.
[5]  汤慧龙. 试论秦九韶《数书九章》的数学教育价值[J]. 绍兴文理学院学报(自然科学), 2004(9): 96-98.
[6]  杨合俊. 秦九韶“正负开方术”是二阶收敛的[J]. 数学的实践与认识, 2011, 41(1): 229-236.
[7]  王荣彬. 对刘益正负开方术的新研究[J]. 自然科学史研究, 1999(1): 28-35.
[8]  海红. 增乘开方算法的由来[J]. 武警学院学报, 2006(2): 92-94.
[9]  秦九韶与《数书九章》[J]. 语数外学习(高中版下旬), 2020(2): 62-63.
[10]  钱宝琮. 秦九韶与高次方程的数值解法[J]. 语数外学习(高中版下旬), 2022(4): 57-59.
[11]  中华人民共和国教育部. 普通高中数学课程标准(2017年版) [M]. 北京: 人民教育出版社, 2018.
[12]  晁丰成. 立足数学文化 生长学科素养——以海伦-秦九韶公式教学为例[J]. 中国数学教育, 2021(22): 51-54.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133