Wangxiaoqin

PUBLICATIONS

 BOOKS

[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

 HISTORY OF MATHEMATICS

[1] A study on Li shanlan’s Fangyuan Chanyou. Journal of Zhejiang Normal University‚ 1991(2)

[2] A Study on the problems of arithmetic series in the Nine Chapters on the Mathematical Art. Journal of Zhejiang Normal University‚ 1995(2)

[3] Some remarks on the indeterminate problems in the Shushu Jiuzhang. Journal of Zhejiang Normal University‚ 1997(2)

[4] Alexander Wylie’s evaluation of Chinese mathematics. China Historical Materials of Science and Technology‚ 1998‚ 19(2)

[5] A biography of Tsin Jiushao. In Bai Shouyi ed.‚ A General History of China‚ Vol.7‚ Ch.7‚ Shanghai: Shanghai People Press‚ 1999: 1890-1899

[6] The academic career of Alexander Wylie. China Historical Materials of Science and Technology‚ 1999‚ 20(1)

[7] Reflections on Chumeng and Fangting problems in Zhuishu‚ Studies in the History of Natural Sciences‚ 1999‚18(1)

[8] A history of Dayan qiuyi Rule in the West. Studies in the History of Natural Sciences‚ 1999‚ 18(3)

[9] Alexander Wylie and the history of Chinese mathematics. Exploration of Nature‚ 1999‚ 19(4); Philosophy of Science and Technology‚ 2000(1)

[10] Suspicion and prejudice against Chinese mathematics by western scholars. Studies in Dialectics of Nature‚ 2000‚ 16(2):68-71

[11] Historical knowledge of mathematics introduced by Alexander Wylie‚ China Historical Materials of Science and Technology‚ 2000‚ 21(2)

[12] Early days of calculus in China‚ Wen Xian (Bibliography)‚ 2000(4)

[13] Notes on Archimedes’ proofs of the volume of the joined umbrellas. Journal of the Qufu Normal University‚ 2000(4)

[14] Zu Chongzhi’s fractional value of Pi viewed by Western scholars: A brief history. Journal of Nature‚ 2000(5)

[15] Archimedes’ cubature of a typical solid--the joint umbrellas. Studies in College Mathematics‚ 2000

[16] The birth of the root formula of the cubic equations. Science‚ 2001(2)

[17] Augustus de Morgan: a famous mathematics teacher‚ mathematician and historian of mathematics in the 19^th century. Journal of Dialectics of Nature‚ 2001(1)

[18] Notices on the Daiweiji Shiji‚ the first calculus textbook in Chinese. Journal of the Zhejiang University‚ 2001 (4)

[19] Interview with the academician Z. C. Shi. China Historical Materials of Science and Technology‚ 2001‚ 22(1)

[20] A review on the English version of the Nine Chapters of the Mathema-tical Art‚ Companion & Commentary (with X. L. Han). China Historical Materials of Science and Technology‚ 2001 (2)

[21] A biography of Wang Xiaotong‚ Encyclopaedia Britannica‚ new edition.

[22] Joseph Edkins and the scientific exchange between China and the West‚ Journal of Dialectics of Nature‚ 2001(5)

[23] Rythmonmachie: a medieval mathematical game. Science‚ 2001(5)

[24] Who was the inventor of the formula for the sum of powers of natural numbers? Science‚ 2002(3)

[25] Olry Terquem: A foresighted historian of mathematics in the 19th century. Studies in Dialectics of Nature‚ 2002(8)

[26] Euler and the sum of squares of reciprocals of natural numbers. Journal of Qufu Normal University. 2002(4)

[27] Historical Notice on a definite integral. Studies in College Mathematics‚ 2002(4)

[28] A history of Dayan qiuyi Rule in the West (in English). In A.K.L. Chan‚ G. K. Clancey & Hui-Chieh Loy (eds.). Historical Perspectives on East Asian Science‚ Technology and Medicine. Singapore: Singapore Univer- sity Press & World Scientific‚ 2002

[29] É. Biot and the history of Chinese mathematics. Journal of Dialectics of Nature‚ 2003(6)

[30] The elementary study on Pi in France in the 17th –19th century and Liu Hui’s cyclotomic rule. Journal of the Zhejiang University‚ 2004(1)

[31] The life and labour of A. N. Kolmogorov. Science‚ 2003(6)

[32] The prominent achievements in mathematics‚ in Zhou Hanguang & Dai Hongcai (Eds.)‚ Science and Technology in the Six Dynasties‚ Nanjing: Nanjing Press‚ 2003. Chapter 2.

[33] The sums of powers of natural numbers: a matrix approach. Studies in  College Mathematics‚ 2004‚ 7(2): 35-37.

[34] Transmission of traditional Chinese mathematics in the Western world in the 19^th century. Tsing Hua Journal of Chinese Studies‚ 2003‚ 33(1): 73-97

[35] Documents on mathematical cranks which will never be out of time. Studies in Dialectics of Nature‚ 2004‚ 20(9): 86-89.

[36] Criteria for the convergence and divergence of infinite series in the first half of 19^th century‚ College Mathematics‚ 2004(6)

[37] How did Leonardo Fibonacci solve equations? Mathemedia‚ 2005(1)

[38] Michael Chasles: a prominent mathematician and naïve collector of old manuscripts. Journal of Dialectics of Nature‚ 2005(2)

[39] A history of Apollonius’ problem(with X.M.Zhang). Mathemedia‚ 2005(2)

[40] A historical overview on mathematics and poetry. Journal of Dialectics of Nature‚ 2006(3)

[41] L. E. Dickson: the pioneer of modern American mathematics (with D. Liu). Journal of Dialectics of Nature‚ 2007‚ 29(1): 83-91

[42] H. G. Zeuthen: the pioneer of modern Danish mathematics and famous historian of mathematics in the 19^th century (with Y. Y. Zhao). Journal of Dialectics of Nature‚ 2007‚ 29(3): 76-84

[43] Geometric origin of trigonometric formulas. Mathemedia‚ 2007‚ 31(3): 53-69

[44] Robert Recorde: the first British mathematics educator. Journal of Dialectics of Nature‚ 2008‚ 30(5): 92-101

 

HISTORICAL TOPICS IN HIGH SCHOOL MATHEMATICS

[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)

[20] Kowa Seki’s calculation of the volume of the 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 Mathema-tics 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 Mathema-tics 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 Mathe-matics 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(2)

[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. Mathema-tics Teaching in Middle Schools‚ 2006(5)

[56] François Viète and trigonometric formulas. Hunan Education (Mathematics Teacher)‚ 2006(7)

[57] G. W. Lebniz and imaginary numbers (with Y. Y. Zhao). Hunan Education (Mathematics Teacher)‚ 2006(10)

[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(10).

[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):

[75] Teaching design of the topic “Origin of the analytic geometry”: Mathematics Teaching in Middle Schools‚ 2008(6):

[76] Teaching design of the concept of linear equation in one unknown (with Huangfu Hua). Mathematics Teaching in Middle Schools‚ 2008(6):

[77] Application of congruent triangles: from history to the classroom. Mathematics Teaching in Middle Schools‚ 2008(11)

2009

[78] From Babylonian scribes to Da Vinci. Mathematics Teaching in Middle Schools‚ 2009(1-2)

 

 

MATHEMATICS EDUCATION

[1] College mathematics teaching from the viewpoint of HPM. Higher Education of Science‚ 2003(5)

[2] Historical notice on HPM. Journal of Mathematics Education‚ 2003(3)

[3] Educational values of the history of mathematics viewed by American scholars (with Y. W. Lin). Studies in Dialectics of Nature‚ 2004‚ 20(6): 73-77

[4] Morris Kline and the teaching of higher mathematics. Journal of Qufu Normal University‚ 2004‚ 30(4):106-110

[5] Justification of the historical-genetic-principle in mathematics teaching from a test. Journal of Mathematics Education‚ 2005‚ 14(3): 30-33

[6] The HPM research: contents and methods (with X. M. Zhang). Journal of Mathematics Education‚ 2006‚ 15(1): 16-18

[7] High school students’ understanding about actual infinity (with B. L. Zhou). Journal of Mathematics Education‚ 2006‚ 15(4): 90-93

[8] Mathematical writing in the United States. Journal of Mathematics Education‚ 2007‚ 16(3): 75-78

[9] Senior high school students’ conception of mathematical functions: an empirical study of historical parallelism (with M. J. Ren). Journal of Mathematics Education‚ 2007‚ 16(4): 84-87

[10] The what-if-not strategy of problem posing viewed from a test. Journal of Mathematics Education‚ 2008‚ 17(4): 26-29

[11] Factors affecting senior high school students’ combinatorial reasoning (with H. X. Hu). Journal of Mathematics Education‚ 2008. to appear

[12] Integrating history into high school mathematics teaching: an action research (with X. M. Zhang). Journal of Mathematics Education. to appear

[13] Senior high school students’ conception of the tangent of a curve: an empirical study of historical parallelism (with X. M. Zhang). Journal of Mathematics Education‚ to appear

[14] Historical problems in the teaching of higher mathematics. Higher Science Education‚ to appear

 

 

TRANSLATIONS (IN CHINESE)

[1] Sabbagh‚ K. Dr. Riemann´s Zeros: The Search for the $1 Million Solution to the Greatest Problem in Mathematics. Shanghai Education Press‚ 2006. (with Y. Zhang & X. J. Xu)

[2] Reflections on the transmission of the excess and deficit rule (by Chem-la)‚ in Liu Dun ed.‚ Keshi Xinchuan. Shenyang: Liaoning Education Press‚ 1996

[3] Elzinga. Revisiting the Needham’s Paradox. In D. Liu & Y. Z. Wang (eds.)‚ Chinese Science and the Scientific Revolution‚ Shenyang: Liaoning Education Press‚ 2002. 560-598

[4] L. E. Siegler. Fibonacci’s Liber Abaci: A translation into modern English of Leonardo Pisano’s Book of Calculation. Beijing: Science Press‚ 2006 (With Z. G. Ji et al)