Applied Mathematics—A Journal of Chinese Universities(Appl.Math.J.Chinese Univ.) started its publication in 1986 based on the decision of Academic and Working Conference on Applied Mathematics of directly affiliated ...Applied Mathematics—A Journal of Chinese Universities(Appl.Math.J.Chinese Univ.) started its publication in 1986 based on the decision of Academic and Working Conference on Applied Mathematics of directly affiliated universities in China.Since 2002 it has become one of展开更多
This article expounds the important role of the science of mathematics in making China prosperous and strong and puts suggestions on how to develop the science in China.
Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of dou...Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.展开更多
As part of a large reciprocal learning partnership project between Canada and China,this study explored Canadian teachers’perceptions of mathematics teaching in elementary schools in China.Using reciprocal learning a...As part of a large reciprocal learning partnership project between Canada and China,this study explored Canadian teachers’perceptions of mathematics teaching in elementary schools in China.Using reciprocal learning and Activity Theory as the theoretical lens,we collected data,i.e.,classroom observations,group discussion,and informal exchanges from teachers in a pair of research sister-schools in Canada and China.Qualitative data analyses revealed four themes in Canadian teachers’perceptions of the characteristics of Chinese mathematics teaching:an active teacher-student interaction model of questioning-responding,a mathematical knowledge-package summary at the end of each lesson,integration of the history of mathematics into teaching,and the development and implementation of well-structured lessons.Contributions,implications,and limitations of the study in mathematics education and research are discussed.展开更多
This present paper deals with the main methematical achievements of Dai Xu,a famous mathematician of the Qing Dynasty:Dai Shi Series Numbers, Dai Shi lterative Method,Kai Ji Duo Wei Jiu-Cheng-Fang Method and the Relat...This present paper deals with the main methematical achievements of Dai Xu,a famous mathematician of the Qing Dynasty:Dai Shi Series Numbers, Dai Shi lterative Method,Kai Ji Duo Wei Jiu-Cheng-Fang Method and the Relationship between Exponents and Logarithms etc.,which have been ignored by former research workers.The paper also puts forward different understandings from the past research at the following points:the Artificial Logarithm, the Formula for Changing Base, the Binomial Theorem and so on.展开更多
文摘Applied Mathematics—A Journal of Chinese Universities(Appl.Math.J.Chinese Univ.) started its publication in 1986 based on the decision of Academic and Working Conference on Applied Mathematics of directly affiliated universities in China.Since 2002 it has become one of
文摘This article expounds the important role of the science of mathematics in making China prosperous and strong and puts suggestions on how to develop the science in China.
文摘Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.
基金grant from the National Social Science Foundation of China(No.17XMZ032)Chongqing Association of Higher Education(No.CQGJ19A02)+1 种基金Ideological and Political Course at Southwest University(No.20190711)for providing funds to the study.We greatly appreciate the Social Sciences and Humanities Research Council(SSHRC)of Canada which funds the larger Reciprocal Learning Canada-China Partnership Project(898-2021-1011).
文摘As part of a large reciprocal learning partnership project between Canada and China,this study explored Canadian teachers’perceptions of mathematics teaching in elementary schools in China.Using reciprocal learning and Activity Theory as the theoretical lens,we collected data,i.e.,classroom observations,group discussion,and informal exchanges from teachers in a pair of research sister-schools in Canada and China.Qualitative data analyses revealed four themes in Canadian teachers’perceptions of the characteristics of Chinese mathematics teaching:an active teacher-student interaction model of questioning-responding,a mathematical knowledge-package summary at the end of each lesson,integration of the history of mathematics into teaching,and the development and implementation of well-structured lessons.Contributions,implications,and limitations of the study in mathematics education and research are discussed.
文摘This present paper deals with the main methematical achievements of Dai Xu,a famous mathematician of the Qing Dynasty:Dai Shi Series Numbers, Dai Shi lterative Method,Kai Ji Duo Wei Jiu-Cheng-Fang Method and the Relationship between Exponents and Logarithms etc.,which have been ignored by former research workers.The paper also puts forward different understandings from the past research at the following points:the Artificial Logarithm, the Formula for Changing Base, the Binomial Theorem and so on.
