学术论文

[1]

李善兰《方圆阐幽》研究(与骆祖英). 浙江师范大学学报(自然科学版)‚ 1991‚ 14 (2)

[2]

《九章算术》等差数列问题研究. 浙江师范大学学报(自然科学版)‚ 1995‚ 18 (1): 19-23

[3]

关于《数书九章》大衍类算题的若干注记.  浙江师范大学学报(自然科学版)‚ 1997‚ 20 (2): 13-18

[4]

伟烈亚力对中国数学的评介. 中国科技史料‚  1998‚ 19 (2): 10-23

[5]

《缀术》中的“刍甍方亭之问”. 自然科学史研究‚  1999‚ 18 (1): 20-27

[6]

大衍求一术在西方的历程. 自然科学史研究‚ 1999‚ 18 (3): 222-233

[7]

伟烈亚力的学术生涯. 中国科技史料‚ 1999‚ 20 (1): 17-34

[8]

伟烈亚力与中国数学史. 大自然探索‚ 1999‚ 18 (4): 113-117; 人大报刊复印资料《科学技术哲学》‚ 2000(1)

[9]

秦九韶. 载白寿彝主编. 中国通史‚ 第7卷第7章‚ 上海: 上海人民出版社‚ 1999: 1890-1899

[10]

祖冲之圆周率在西方的历史境遇. 自然杂志‚ 2000‚ 22(5): 300-304

[11]

关于阿基米德盒盖求积方法的注记. 曲阜师范大学学报(自然科学版)‚ 2000‚ 26 (4): 25-28

[12]

伟烈亚力所介绍的数学史知识. 中国科技史料‚ 2000‚ 21 (2): 158-167

[13]

西方学者对中国传统数学的怀疑和偏见. 自然辩证法研究‚ 2000‚ 16 (2): 68-71

[14]

微积分在中国的最初岁月——纪念《代微积拾级》出版140周年. 文献‚ 2000 (4): 219-229

[15]

石钟慈院士采访记. 中国科技史料‚ 2001‚ 22 (1): 45-52

[16]

德摩根: 杰出的数学家、数学史家和数学教育家. 自然辩证法通讯‚ 2001‚ 23 (1): 70-84

[17]

艾约瑟: 致力于中西科技家流的传教士和学者. 自然辩证法通讯‚ 2001‚ 23 (5): 74-83

[18]

关于《代微积拾级》的若干注记. 浙江大学学报 (理学版) ‚ 2001‚ 28 (4): 384-393

[19]

三次方程求根公式之诞生.  科学‚ 2001‚ 53 (2): 55-58

[20]

一种中世纪的数字棋. 科学‚ 2001‚ 53 (6): 57-59

[21]

Wang Xiaotong‚ Encyclopaedia Britannica‚ new edition (2001)

[22]

谁是幂和公式的开山祖? 科学‚ 2002‚ 54 (3): 53-54 

[23]

欧拉与自然数平方倒数和. 曲阜师范大学学报‚ 2002‚ 28 (4): 29-33

[24]

关于一个定积分的历史注记. 高等数学研究‚ 2002‚ 5 (4): 46-49 

[25]

泰尔凯: 19世纪前瞻的数学史家. 自然辩证法研究‚ 2002‚ 18 (8): 78-80 

[26]

A  History of Dayan Qiuyi Rule in the West. In A. K. L. Chan‚ G. K. Clancey & Hui- Chieh  Loy (Eds.). Historical Perspectives on East Asian Sience‚ Technology and Medicine. Singapore: Singapore Universwity Press & World Scientific‚ 2002

[27]

19世纪以前西方对中国传统数学的认识和了解. 清华学报‚ 2003‚ 33 (1): 73-97

[28]

HPM的历史渊源. 数学教育学报‚ 2003‚ 12 (3): 24-27

[29]

HPM视角下的高等数学教学. 高等理科教育‚ 2003 (5): 10-12

[30]

毕欧与中国数学史. 自然辩证法通讯‚ 2003‚ 25 (6): 67-72

[31]

17?19世纪法国数学家的圆周率的初等研究与刘徽割圆术. 浙江大学学报 (理学版)‚  2003‚ 30 (1): 1-6

[32]

柯尔莫戈洛夫: 为数学和教育贡献一生. 科学‚ 2003‚ 55 (6): 43-46

[33]

杰出的六朝数学成就‚载周翰光‚ 戴洪才主编‚  六朝科技‚ 南京: 南京出版社‚ 2003. 第二章.

[34]

M·克莱因的数学教育思想与高等数学教学. 曲阜师范大学学报‚ 2004‚ 30 (4): 106-110

[35]

19世纪上半叶无穷级数敛散性判别法. 大学数学‚ 2004‚ 20 (6): 125-134

[36]

美国学者眼中数学史的教育价值. 自然辩证法研究‚ 2004‚ 20 (6): 73-77

[37]

一卷永不过期的数学狂怪档案. 自然辩证法研究‚ 2004‚ 20 (9): 86-89

[38]

自然数幂和公式之矩阵算法. 高等数学研究‚ 2004‚ 7 (2): 35-37.

[39]

沙勒: 杰出的数学家和天真的收藏者. 自然辩证法通讯‚ 2005‚ 27 (2) : 99-106

[40]

斐波纳契是如何解方程的? 数学传播‚  2005‚ 29 (1): 51-63

[41]

从一次测试看关于学生认知的历史发生原理. 数学教育学报‚ 2005‚ 14 (3): 30-33

[42]

圆之吻: 阿波罗尼斯问题的历史(与张小明). 数学传播‚ 2006‚ 30 (2): 30-40

[43]

数学与诗歌：历史寻踪. 自然辩证法通讯‚ 2006: 28 (3): 16-21

[44]

高中生对实无穷的理解(与周保良). 数学教育学报‚ 2006‚ 15 (4): 90-93

[45]

HPM研究的内容与方法(与张小明). 数学教育学报‚ 2006‚ 15 (1): 16-18

[46]

高中生对函数概念的理解: 历史相似性初探(与任明俊). 数学教育学报‚ 2007‚ 16 (4): 84-87

[47]

邹腾: 19世纪数学史家、丹麦数学的先驱者(与赵瑶瑶). 自然辩证法通讯‚ 2007‚ 29 (3): 76-84

[48]

狄克逊: 多产的数学家、美国数学的先驱者(与柳笛). 自然辩证法通讯‚ 2007‚ 29 (1): 83-91

[49]

数学写作在美国.  数学教育学报‚ 2007‚ 16 (3): 75-78

[50]

数学与诗歌: 历史寻踪. 自然辩证法通讯‚ 2006‚ 28 (3): 16-21

[51]

平面三角公式的几何渊源. 数学传播‚ 2007‚ 31 (3): 53-69 

[52]

雷科德: 英国第一位数学教育家. 自然辩证法通讯‚ 2008‚ 30 (5): 92-101

[53]

使用否定属性策略的问题提出.  数学教育学报‚ 2008‚ 17 (4): 26-29

[54]

绝版议案. 科学‚ 2008‚ 60 (3): 1-2

[55]

数学史与高等数学教学. 高等理科教育‚  2009 (2): 20-24; 31

[56]

曲线的切线: 从历史到课堂(与吴甬翔).  高等理科教育‚  2009 (3): 38-43

[57]

历史发生原理及其教学启示. 载张奠宙‚ 何文忠主编‚ 《交流与合作》‚ 南宁: 广西 教育出版社‚ 2009. 288-322

[58]

中学数学教学中融入数学史的行动研究(与张小明). 数学教育学报‚ 2009‚ 18 (4): 89-92

[59]

国外数学教育的传入与影响 (与张英伯). 载王建磐主编‚ 《中国数学教育: 传统与现实》‚ 南京: 江苏教育出版社‚ 2009. 31-65 

[60]

希思: 一代科学史先驱(与柳笛). 自然辩证法通讯‚ 2009. 待发表 

[61]

史密斯: 杰出的数学史家、数学教育家与人文主义者. 自然辩证法通讯‚ 待发表

[62]

华里司: 自学成才的数学家、欧洲大陆微积分的早期传播者. 自然辩证法通讯‚ 待发表

[63]

通识限选课程《数学文化》的教学实践. 高等理科教育‚ 待发表

[64]

高中生对切线的理解(与张小明).  数学教育学报‚ 待发表

************

中学HPM

1992-2001

[1]

Historically speaking: The Nine Chapters on the Mathematical Art. High School Mathematics Teaching‚ 1992

[2]

B. Cavalieri and his theorem. High School Mathematics Teaching‚ 1995

[3]

Archimedes and the formula for the volume of the sphere‚ High School Mathematics Teaching‚ 1996(9)

[4]

Blaise Pascal and the mathematical induction. High School Mathematics Teaching‚ 1997(3)

[5]

Historical development of the formula for the sums of powers of natural numbers. Mathematics Teaching in Middle Schools‚ 1997(5)

[6]

In Memoriam—B. Cavalieri. Mathematics for High School Students‚ 1998(1)

[7]

De Moivre and his formula. Journal of High School Mathematics‚ 1998(1)

[8]

A brief history of the formulas for sine and cosine with multiple angles. High School Mathematics‚ 1998(1)

[9]

On the teaching of the concept of infinite series‚ Education in Teacher’s College‚ 1996(3)

[10]

Some reflections on the teaching of the history of mathematics. Higher Education of Adults‚ 1997(1)

[11]

0÷0: A bought rule. Science and Culture‚ 1998(2)

[12]

Feuerbach and his nine-point circle‚ Journal of High-School Mathema-tics‚ 1999(2)

[13]

The origin and development of the concept of the complex numbers. Higher Education of Adults‚ 1999(3)

[14]

A brief history of the binomial theorem. Journal of High-School Mathe-matics 1999(6)

[15]

Archytas’ solution of the duplication problem. High School Mathema-tics Teaching‚ 2000(3)

[16]

The birth of the formula for roots of the cubic equations. High School Mathematics Teaching‚ 2000(7)

[17]

The earliest textbook on calculus in the history. Higher Education of Adults‚ 2001(5)

[18]

On the geometric proofs of the trigonometric formulas. Newsletter of HPM‚ 1999‚3(6-7)

[19]

Eleven methods of finding the sum of the second powers of integrals. High School Mathematics Teaching‚ 2001(10)

2002

[20]

Kowa Seki´s calculation of the volume of a sphere. High School Mathematics Teaching‚ 2002(5)

[21]

Integration of figures and expositions in the history of mathematics. High School Mathematics Teaching‚ 2002(7)

[22]

Do you need the history of mathematics? Mathematics Teaching‚ 2002 (4)

[23]

From the nine-point circle to the twelve-point sphere. High School Mathematics Teaching‚ 2002(9)

2003

[24]

The Pythagorean theorem in Babylonian tablets. High School Mathematics Teaching‚ 2003(2)

[25]

An example of multiculture in mathematics teaching (with Q. F. Xu ). Mathematics Teaching‚ 2003(4)

[26]

The teaching of the concept of complex numbers from the viewpoint of HPM. Mathematics Teaching‚ 2003 (6)

[27]

Teaching of the concept of geometric series from the viewpoint of HPM. High School Mathematics Teaching‚ 2003 (7)

[28]

The Platonic solids. High School Mathematics Teaching‚ 2003 (8)

[29]

The poems in ancient mathematics texts.Mathematics Teaching‚ 2003 (9)

[30]

The Indiana Bill on Pi. Mathematics Teaching in Middle Schools‚ 2003 (9)

[31]

How may the history of mathematics be integrated in high school mathematics textbooks(with Z. H. Wang). Mathematics Bulletin‚ 2003(9)

[32]

Some mathematical anecdotes of celebrities in the history. High School Mathematics Teaching‚ 2003 (12)

2004

[33]

Archimedes and Pi. Mathematics Teaching‚ 2004(1): 39-41

[34]

Notes on mathematical problems in the history. High School Mathematics Teaching‚ 2004(2): 44-46

[35]

Mistakes made by mathematicians in the history. Mathematics Teaching in Middle Schools‚ 2004(3): 63-64

[36]

Literature and mathematics. High School Mathematics Teaching‚ 2004 (6): 1-3

[37]

Some geometric explanations of five means. Journal of High School Mathematics‚ 2004(5): 25-27

[38]

A brief history of symmetric functions (with X. M. Zhang). High School Mathematics Teaching‚ 2004(7): 45-47

[39]

Stories of choosing mathematics. Math. & Physics Weekly (Shuli Bao)‚ July 7 & 14‚ Sept.1‚ 2004

[40]

Some geometric derivations of the addition formulas. Journal of High School Mathematics‚ 2004(6): 25-27

[41]

Historical Notes on geometric proofs of the tangent theorem. High School Mathematics Teaching‚ 2004(11): 47-50

2005

[42]

The introduction of the operational rule “negative times negative is positive”(with W. Tong). Mathematics Teaching in Middle Schools‚ 2005 (1-2)

[43]

Teaching implications of Archimedes’ On the Method. Journal of High School Mathematics‚ 2005(3)

[44]

The search‚ transformation and exploration of the model of the sum of the second power (with C. Z. Zhang). Mathematics Teaching in  Middle Schools‚  2005(4)

[45]

Geometric solutions of the quadratic equations (with H. Y. Qiu). Journal of High School Mathematics‚ 2005(6)

[46]

Recreational problems in Fibonacci’ Liber Abaci. High School Mathematics Teaching‚ 2005(6)

[47]

Historical Notes on fractional equations (with X. M. Zhang). High School Mathematics Teaching‚ 2005(8)

[48]

The mathematical years of Thomas Carlyle (with H. X. Hu). Mathematics Teaching in Middle Schools‚  2005(8)

[49]

Archimedes and the formula for the sum of the second power. Journal of High School Mathematics‚ 2005(9)

[50]

Historical Notes on the mean inequality. High School Mathematics Teaching‚ 2005(10)

2006

[51]

 Practice of HPM and some implications (with X. M. Zhang). Mathematics Teaching in Middle Schools‚ 2006(1)

[52]

The formula for the sum of the geometric series: a geometric approach. Mathematics Teaching in Middle Schools‚ 2006(3): 12-13

[53]

The Greek theory of polygonal numbers. High School Mathematics Teaching‚ 2006 (4)

[54]

Incommensurables and the origin of the proof by contradiction. High School Mathematics Teaching‚ 2006 (6)

[55]

Pappus’ geometric propositions and trigonometric formulas. Mathematics Teaching in Middle Schools‚ 2006 (6): 54-55

[56]

François Viète and trigonometric formulas. Hunan Education (Mathematics Teacher)‚ 2006 (7): 43-44

[57]

G. W. Leibniz and imaginary numbers (with Y. Y. Zhao). Hunan Education (Mathematics Teacher)‚ 2006 (8): 42-43‚ 37

[58]

Piero della Francesca’s mathematical achievements (with D. Liu). High School Mathematics Teaching‚ 2006 (9)

[59]

Notes on Christoph Clavius’ geometric proof of the product formulas. Mathematics Teaching‚ 2006 (11): 41-43

[60]

Teaching design of the concept of quadratic equation in one unknown from the viewpoint of HPM. Mathematics Teaching in Middle Schools‚ 2006 (12): 50-52

2007

[61]

Teaching design of the solutions to quadratic equations in one unknown from the viewpoint of HPM. Mathematics Teaching in Middle Schools‚  2007(1-2): 114-116

[62]

Teaching design of the concept of a system of linear equations in two unknowns from the viewpoint of HPM. Mathematics Teaching in Middle Schools‚ 2007(5): 48-51

[63]

Teaching design of the elimination method from the viewpoint of HPM. Mathematics Teaching in Middle Schools‚ 2007(6): 52-54

[64]

Teaching design of complex numbers (with X. M. Zhang). Mathematics Teaching in Middle Schools‚ 2007(6): 4-7

[65]

Application of similar triangles: from history to the classroom. Mathematics Teaching in Middle Schools‚ 2007(9): 54-55

[66]

Locus problems in ancient Greek mathematics. Mathematics Teaching in Middle Schools‚ 2007 (9): 58-59

[67]

The first theorem proved with mathematical induction (with L. L. Gao). Hunan Education (Mathematics Teacher)‚ 2007(7): 41-42

[68]

Fibonacci’s legacy problem. Hunan Education (Mathematics Teacher)‚ 2007(10): 41-43

[69]

Historical problems of linear equations (I). Mathematics Teaching in Middle Schools‚ 2007 (11): 51-53

[70]

Historical problems of linear equations (II). Mathematics Teaching in Middle Schools‚ 2007 (12): 54-56

[71]

The quadratic equation in one unknown: from history to the classroom (with H. Huangfu). Hunan Education (Mathematics Teacher)‚ 2007(12): 42-44

2008

[72]

Origin and evolution of the cooperation problems. Hunan Education (Mathematics Teacher)‚ 2008(1): 42-44

[73]

Fermat and analytic geometry. Mathematics Teaching in Middle Schools‚ 2008 (1-2): 122-123

[74]

Descartes and analytic geometry. Mathematics Teaching in Middle Schools‚ 2008 (5): 61-62

[75]

Teaching design of the topic “Origin of the analytic geometry”: Mathematics Teaching in Middle Schools‚ 2008 (6): 57-59

[76]

Teaching design of the concept of linear equation in one unknown (with Huangfu Hua). Mathematics Teaching in Middle Schools‚ 2008 (3): 55-57 

[77]

Application of congruent triangles: from history to the classroom. Mathematics Teaching in Middle Schools‚ 2008 (10): 55-57

2009

[78]

From Babylonian scribes to Da Vinci. Mathematics Teaching in Middle Schools‚ 2009 (1-2):  131-133

[79]

Architecture and mathematics.  Mathematics Teaching in Middle Schools‚ 2009 (7): 68-70

[80]

Problems of number sequences in mathematical cuneiform texts. Mathematics Teaching. 2009 (12)

2010

[81]

Problems of number sequences in Egyptian mathematical papyrus. Mathematics Teaching.  2010 (1)

[82]

From the law of exponents to logarithms. Mathematics Teaching. to appear

[83]

Problems of number sequences in Fibonacci´s Liber Abaci. Mathematics Teaching. to appear

[84]

Problems of number sequences in the history of  Islamic mathematics (with S. P. Pu). Mathematics Teaching. to appear

[85]

Problems of number sequences in Hebrew mathematical literature (with S. P. Pu). Mathematics Teaching. to appear

[86]

A brief history of the equation of an ellipse. Mathematics Teaching in Middle Schools‚ to appear

******************

著作

[1]

Alexander Wylie and the Scientific Exchange between China and the West. Beijing: Science Press‚ 2000

[2]

Historical Topics in High School Mathematics (with X. L Han). Beijing: Science Press‚ 2002

[3]

Cultural Tradition and modernization of Mathematics Education (with W. Z. Zhang et al). Beijing: Beijing University Press‚ 2006

*****************

译著

[1]

卡尔·萨巴. 黎曼博士的零点. 上海: 上海教育出版社‚ 2006. (与张琰、徐晓君)

[2]

斐波纳契. 计算之书(斯蒂格勒英译). 北京: 科学出版社‚ 2008 (与纪志刚、马丁玲、郑方磊)

[3]

斯图尔特. 如何切蛋糕. 上海: 上海辞书出版社‚ 2009. (与邹佳晨、陈慧)