BIOGRAPHICAL DATADecember, 2013

SWETZ, Frank Joseph

Present Address: 616 Sandra Avenue

Harrisburg, PA 17109 -5816 (Tel: 717-564-4983)

fswetz@yahoo.com

EducationCity University of New York, Major: Mechanical Engineering, 1955-60 (part-time)

Marist College Major: MathematicsPoughkeepsie, New York Minors: Physics and Education

Graduated: B.S., 1962

Fordham University Major: MathematicsNew York, New York Graduated: M.A., 1963

Teachers College Major: Mathematics EducationColumbia University Professional Diploma (Supervision): 1969New York, New York D.Ed., 1972

Additional StudiesNorthern Illinois University Peace Corps TrainingDeKalb, Illinois Area Studies: Southeast Asia

Summer, 1964

Teachers College N.S.F. Institute: "The Use of Laboratory New York, New York Methods in the Training of Primary

School Teachers." Summer, 1969 Nat’l Council of Teachers Study Tour: "Mathematics Education in the PRC Of Mathematics and Japan" (Oct. 21-Nov. 6, 1977).

University of Toronto International Commission on the History of Mathematics "History of MathematicsWorkshop." Summer, 1983.

Northeastern University Consortium for Mathematics and N.S.F. Institute:Boston, Mass. “Euclidean Geometry: its Applications” Summer, 1990.

Honors Received

Teaching Fellow - Fordham UniversityListed in Outstanding Young Americans, 1964Marist College Faculty Study Fellowship, 1967Research Assistant, Teachers College

Phi Delta KappaEdpress Award for Educational Journalism, 1971 (2), 1984Directory of Historians of Mathematics, 1973, 1975Outstanding Alumni, Marist College, 1978Fulbright ASEAN Research Fellow, Summer 1985Outstanding Research Award, Capital College, 1986, 1988Fulbright Subsahara Research Fellow, Summer 1989Invited Member, 1989 Problems Committee, Australian Mathematics Competition, Canberra, Australia, May, 1988. Who's Who in American Education, 1989-90Who's Who in the East (24th ed.)Fulbright Teaching Fellow, Malaysia, 1995Fulbright Teaching Fellow, Philippines, 1998-99

Memberships in Learned and Professional SocietiesMathematical Association of AmericaNational Council of Teachers of MathematicsPennsylvania Council of Teachers of Mathematics

Research GrantsContemporary China Committee, East Asian Institute, Columbia University, 1970Capital College Faculty Research Grant: 1970, 1971, 1972, 1973, 1975, 1978, 1988Penn State, Presidential Research Grant: 1990, 1993

Visiting ProfessorshipsUniversiti Kebangsaan Malaysia, Summer, 1976Universiti Kebangsaan Malaysia, Faculty of Education, 1980-81Marian Negoubi University, Republic of the Congo, Fall 1985Universiti Malaya, Summer, 1985; 1995Universiti Kebangsaan Malaysia, November, 1995Ateneo de Manila University, Philippines 1999Washington College,Chestertown,Md.,2000

PublicationsNumerous articles on mathematics and education in national and international journals (300+); scholarly and academic books (21); reports and reviews. (List available upon request.)

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Employment1957-58 Daystrom Electric Company, Poughkeepsie, New York

Electro Mechanical Designer

1958-60 Ford Instrument Company, New York, New YorkElectronic Test Engineer

1962-63 Fordham University, New York, New YorkGraduate Fellow

1963-64 Marist College, Poughkeepsie, New YorkInstructor of Mathematics

1964-67 United States Peace CorpsGovernment High School, Muar, Johore, MalaysiaSenior Mathematics MasterMalayan Teachers College, Penang, MalaysiaMathematics Lecturer

1967-69 Teachers College, Columbia UniversityAssistant, Mathematics Department

1969-1997 Pennsylvania State University at HarrisburgCapital College, Middletown, PennsylvaniaAssistant Professor of Mathematics and Education (1972)Associate Member, Graduate Faculty (1974)Professor of Mathematics and Education (1979)Senior Member, Graduate FacultyProfessor Emeritus (1997)

The above experience includes the teaching of undergraduate mathematics courses both for majors and non-majors in analysis, algebra, set theory and foundations, the history of mathematics and methods of teaching mathematics. Graduate teaching has focused on theory of mathematics teaching strategies and research methods in mathematics education. Work in educational evaluation and curriculum development has been undertaken at local, regional and international levels. Throughout the years responsibilities have been assumed on numerous academic committees. An ongoing major responsibility is the coordination of the secondary mathematics education program.

Administrative ExperiencesSenior Mathematics Master. (Department Chairman)

Department of Mathematics, High School, Muar, Malaysia, 1964-65

Coordinator. U.S. Peace Corps Mathematics Inservice Training, Malaysia, 1965-67

Team Leader. Developmental Assessment, Universiti Teknoloji, Malaysia, December, 1975

Director of International Activities, Capital College, The Pennsylvania State University, 1972-76; 1985-88.

Secretary, Pennsylvania Council for International Education, 1974-75.

Secretary, Faculty Council, Capital College, The Pennsylvania State University, 1973.

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Coordinator of Mathematics and Education, Capital College, 1970- 1997.

Coordinator and Supervisor of Secondary Mathematics Teacher Training, 1972- 1997.

Chairman, Library Tenure and Sabbatical Committee, 1973-75

Director, N.S.F. Honor Teachers Workshop "Mathematical Modeling in the School Curriculum," 1986-87

Director, Kolej Damansara Malaysia/Penn State Harrisburg Linkage and Faculty Exchange, 1986-88

Chairman, Penn State-Malaysia Liaison Committee, 1985-1990

Chairman, Penn State Harrisburg Promotion and Tenure Committee, 1990-91.

Service on number of department, campus and university-wide committees.

Chairman, Mathematical and Computer Sciences Program, 1993-97

Other ExperienceEditor: Supplement, a journal-digest for teachers, Malaysia, 1966-67

Surveyor: Federal Land Development Authority, Malaysia, 1966

Consultant: District of Bau, Sarawak (Bridge Construction), 1967

Organized and conducted numerous inservice workshops for mathematics teachers

Research Assistant in the "Training of Mathematics Supervisors Program" at Teachers College, 1968-69.

Languages: German, Malay

Travel: Asia, Northeast Africa, Europe

Consultant: Harrisburg City School District, Pennsylvania (mathematics education, teacher training), 1974-75

Evaluator: Federally funded educational projects in the state of Pennsylvania; teacher training programs in the state of Pennsylvania, 1970-75.

Editorial Referee: The Mathematics Teacher, The National Council of Teachers of Mathematics

The Mathematics MagazineJournal of Developing AreasJournal for Research in Mathematics EducationThe Arithmetic TeacherHistoria Mathematica

Book Reviewer: What's New in Scholarly Books (1975-78)Consultant: Universiti Teknoloji Malaysia, Kuala Lumpur, Malaysia (curriculum & academic program development), September, 1975

Consultant: U.S. Office of Education (university entrance examinations in the PRC), 19794

External Examiner: Universiti Teknoloji Malaysia (Mathematics), 1981, Universiti of Malaya, Graduate Faculty of Education

Consultant: Establishment of a Regional Computer Mediated Instructional Media Development Center (instructional design in math ed) 1993-94.

Consultant: Portland Public Schools Multicultural/Multiethnic Education Project, 1994-96.

Consultant: WQED, Boston "Math and Numbers" series for public television 1993.

Consultant: National Curriculum Development Center, Malaysia, 1995.

Consultant: Regional Centre for Education in Science and Mathematics, Southeast Asian Ministries of Education Organization, 1995.

Consultant: Philippine Academy of Development, 1999.

Editor: Convergence: an e-magazine of the Mathematical Association of America, 2002 – 2009(http://convergence.mathdl.org) with Victor Katz

Consultant: Pacific Resources for Education and Learning, 2010-

Assessment and Evaluation Experience

Relevant courses taught:1. Methods of Teaching Mathematics, component on classroom assessment2. Issues in Mathematics Education, reviews research literature3. Educational Research, taught at Universiti Malaya 1995

Assessment experiences:Leader: Development Assessment, Universiti Teknoloji Malaysia

(December, 1975)Evaluator: U. S. Office of Education, Title II Projects, State of Pennsylvania

(1970-1980)Evaluator: Pennsylvania Department of Education, Teacher Training

Programs (1985)Assessment Consultant: U. S. Office of Education (university entrance

examinations PRC, 1979)External Examiner: Universiti Technoloji Malaysia (Math) 1981; Universiti

Malaya, Graduate Faculty; University Kebangsaan Malaysia,Faculty of Education, 1980-1995

Evaluator: Maktab Sains MARA, Program development(August 1990)

Member: Problems Committee, Australian Mathematics Competition,Australia, 1989

Survey research undertaken in Malaysia, results published 1979, 1982,1983 and 1989

Research Interests1. The history of mathematics and its place in teaching.

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2. Mathematics and science education in developing nations.3. The development of mathematics teaching strategies.4. Societal impact on the learning and teaching of mathematics.

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PROFESSIONAL PUBLICATIONS AND PRESENTATIONS

A. Books:

Mathematics Education in China: Its Growth and Development (Cambridge, Mass.: MIT Press, 1974) p. 364. (Reviews in ten national and international journals. Reviews available upon request.) A survey and analysis of the historical development of mathematics education in China from 1865-1966.

Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China, The Pennsylvania State University Studies No. 4. (University Park: The Penn State Press, 1977) p. 76. (Received National Council of Teachers of Mathematics Award of Merit, 1977. Five reviews available.) A translation and discussion of the "kou ku" [right triangle] chapter of the Chinese mathematical classic, Chiu Chang Suan Shu.

Popular Science Readers: An Aid for Achieving Scientific Literacy in the People's Republic of China [Chinese Education (Spring, 1978)] (White Plains, N.Y.: Asian Studies Books and Journals) p. 106. A survey of the contents of Chinese science materials intended for self-study. Selections from six series of Popular Science readers are translated.

Socialist Mathematics Education (Southampton, Pa.: Burgundy Press, 1979) p. 400. An investigation of mathematics teaching and learning as a societal phenomenon. This work focuses on mathematics education efforts in a socialist country. Case studies for seven countries are considered. (Four reviews available).

The Mathematics Laboratory in the Elementary School. What? Why? and How? (Westmont, N.J.: Intergalactic Publishing Co., 1980) p. 128. A handbook/in-service text for elementary school teachers.

Pengajaran Matematik di Sekolah Menengah Malaysia (Kuala Lumpur, Penerbit Fajar Bakti Sdn. Bhd., 1982) with Liew Su Tim, p. 356. A methods text designed for the training of Malaysian mathematics teachers. The book uses a module approach of presenting material and can be adapted to other developing countries.

Capitalism & Arithmetic: The 'The New Math' of the Fifteenth Century (LaSalle, Ill.: Open Court Publishing Co., 1987), p. 345. An annotated translation and discussion of the first printed arithmetic book, "The Treviso Arithmetic" 1478 and its contents. The work examines the social, cultural, economic and technological forces that assisted in the development of a new mathematics during the early European Renaissance. (Twenty reviews available).

Zi Ben Yi Yu Suan Shu-shi Ji de Xin Shu Xue, Chinese edition. Taiwan:Transoxania Int. , 2003

Pengajaran Matematik KBSR (Kuala Lumpur, Penerbit Fajar Bakti Sdn. Bhd., 1988) with Liew Su Tim, p. 207. A method text designed for primary mathematics teacher training. Strong emphasis on discovery teaching strategies employing concrete based activities.

Mathematical Modeling in the School Curriculum (Middletown, PA.: The Pennsylvania State University, 1988) Editor. p. 240. A resource guide on mathematical modeling for secondary school teachers. Work sponsored by the National Science Foundation.

Mathematical Modeling in the Secondary School Curriculum (Reston, Va.: National Council of Teachers of Mathematics, 1991) with J. S. Hartzler, p. 136. Expanded and revised version of 1988 edition. Introduction to mathematical modeling and twenty-two self contained classroom exercises.

The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China(University Park, Pa.: Penn State Press 1992). pp. 80. An annotated translation and analysis of the mathematical problems contained in the Chinese classic The Sea Island Mathematical Manual (263AD). Early Chinese techniques of mathematical proof are examined and discussed.

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From Five Fingers to Infinity: A Journey Through the History of Mathematics(LaSalle, Ill. Open Court Publishing Co., 1994) pp 770. A collection of readings on the history of mathematics including accomplishments of non-western peoples.

Learning Activities from the History of Mathematics(Portland, ME.: J. Weston Walch, Publisher, 1994) pp 269. A manual of specific resources and advice on using the history of mathematics to enrich secondary school teaching.

Learn from the Masters (Harrisburg, Pa.: Pennsylvania State University, 1992) senior editor with O. Bekken, J. Fauvel and B. Johansson. Proceedings of the Kristiansand Conference on the History of Mathematics and its Place in Teaching. Kristiansand, Norway August 1988 pp. 337. (Published by the Mathematical Association of America, Fall, 1995).

The History of Mathematics: A Study Guide(Manila: Ateneo de Manila University, Office of Research and Publications, 2000) withCatherine Vestro-Yu.

Legacy of the Luoshu:The 4000 Year Search for the Meaning of the Magic Square of Order Three (Chicago: Open Court, 2002) pp.214..An historical study of the mathematical and cultural

significance of the magic square of order three; reprint A.K.Peters, 2008.

Teaching Mathematics to Children(Manila: Ateneo de Manila University, 2003) pp.256. A methods text and resource for parents on the teaching of mathematics to young children.

Shu Xue You Ji , [The History of Mathematics: A Study Guide] Chinese version. Taiwan: Transoxania Int. ,2006

Mathematical Expeditions: Exploring Word Problems across the Ages( Baltimore, MD: Johns Hopkins University Press, 2012) pp.192. A teaching resource promoting the use of historical problems in classroom teaching.

The Search for Certainty: A Journey Through the History of Mathematics, 1800-1900.(Mineola, NY: Dover Publications, 2012) pp.224. A survey of mathematics history from 1800 to 1900.

The European Mathematical Awakening: A Journey Through the History of Mathematics from 1000 to 1800. ( Dover Publications, 2013) pp.249

B. Articles in Professional Publications:

1. "A Brief Examination of 'Modern Maths'," Journal. Federal Inspectorate of Schools, Kuala Lumpur, Malaysia (April, 1966), pp. 13-18.

2. "The Introduction of Modern Mathematics into Malaysian Schools, " Journal (August, 1966), pp. 23-29.

3. "Tinijauan Rengkas Mengenai Ilmu Hisab Moden," Journal (December, 1966), pp. 34-39.

4. "Memperkenalkan Ilmu Hisab Moden Ka-Dalam Sekolah2 Malaysia," Journal (April, 1967), pp. 27-33.

5. "Primary Modern Maths?" Journal (August, 1967), pp. 62-72.

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6. "The Role of the History of Mathematics in its Teaching," Journal (April, 1969), pp. 21-27.

7. "Mathematics Education in Malaysia," The Mathematics Teacher (May, 1969), pp. 410-417.

8. "An Examination of One Theory of Teaching by Discovery with Implications for Mathematics Instruction," Journal (August, 1969).

9. "The Training of Mathematics Teachers in the People's Republic of China," American Mathematical Monthly (December, 1970), 77:1097-1103.

10. "The Place of Experimentation in Geometry Teaching," Journal (August, 1971).

11. "Chinese Mathematics Revision in Accordance with the Teachings of Mao-Tse-tung," The Mathematics Teacher (November, 1971), pp. 615-619. (Received 1971 Edpress Award for educational journalism.)

12. "Children's Picture Books in the People's Republic of China: An Informal Method of Science Instruction," Science and Children (December, 1971), pp. 11-13. (Received 1971 Edpress Award for educational journalism.

13. "The Amazing Chiu Chang Suan Shu," The Mathematics Teacher (May, 1972), pp. 423-430.

14. "The Set-Theoretic Approach to Logic Instruction," Frostburg State College Journal of Mathematics Education (May, 1972), pp. 41-46.

15. "Mathematical Olympiads in the People's Republic of China: A Case Study," American Mathematical Monthly (October, 1972), 79:899-904.

16. "Field Survey: An Aid to Geometry Instruction in the People's Republic of China," School Science and Mathematics 73:335-343.

17. "Chinese Education and the Great Cultural Revolution: A Search for Relevance," Contemporary Education 44:155-160. (Included in Harold Collins' Introduction to the Foundations American Education: Readings (Boston: Allyn and Bacon, 1975).)

18. "Mathematics Education: The People's Republic of China," The Mathematics Teacher 66:113-120.

19. "Revolutionary Mathematics: An Agent of Chinese Communist Indoctrination," Intellect 101:451-453.

20. "Mao Tse-tung, Chairman Educator," International Education 3:5-13.

21. "The Introduction of Mathematics in Higher Education in China, 1865-1887," Historia Mathematica 1:167-179.

22. "The Educational Crisis in Developing Nations: Alternatives," The Journal of Developing Areas (January, 1974), 8:173-180.

23. "The Mathematics Laboratory," Journal. Federal Inspectorate of Schools, Kuala Lumpur, Malaysia (April, 1974), 19:10-13.

24. "The 'Piling Up of Squares' in Ancient China," The Mathematics Teacher (January, 1977), 70:72-79.

25. "Mathematics Curricula Reform in Less Developed Nations: An Issue of Concern," The Journal of Developing Areas (October, 1975), 10:3-14.

26. "Curriculum Development: Cultural, Social, Economic and Philosophical Considerations," Journal Pendidikan (Malaysia) (October, 1976), pp. 36-42.

27. "Mathematics Examinations in the Soviet Union," (with J. Goldberg) The Mathematics Teacher (March, 1977), 70:210-218.

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28. "Mysticism and Magic in the Number Squares of Old China," The Mathematics Teacher (January, 1978), 71:50-56. (Included in Calculators: Readings from the Arithmetic Teacher and the Mathematics Teacher (Washington, D.C.: NCTM, 1979).)

29. "The 'Open-Door' Policy and the Reform of Mathematics Education in the People's Republic of China," Educational Studies in Mathematics (1977), 8:461-478.

30. "A Glimpse of Mathematics Education Reforms in the People's Republic of China," International Journal of Mathematical Education in Science and Technology (1978), 9:193-206.

31. "Revision China de las Matematicas de acuerdo can las ensenanzas de Mao Tse Tung," Boletin de Matematicas (1975), 9:193-206.

32. "The Evolution of Mathematics in Ancient China," The Mathematics Magazine (January, 1979) 52:10-19. (Included in Douglas Campbell and John Higgins' Mathematics, People, Problems, Results, vol. 1 (Belmont, Ca.: Wadsworth International, 1984).)

33. "If the Squares Don't Get You -- The Circles Will," The Mathematics Teacher (January, 1980), 73:67-72.

34. "Science Education in the People's Republic of China: Observations and Impressions," Science Education (1979), 63:119-129.

35. "A Mathematical Sciences Program at an Upper Division Campus," The American Mathematical Monthly (December, 1978), 85:819-822.

36. "Postscript on a Visit to the People's Republic of China," The Mathematics Teacher (December, 1979), 72:648-707.

37. "The Current Status of Chemical Education in the People's Republic of China," with R. Blatt, School Science and Mathematics (March, 1980), 80:183-186.

38. "Science Education in the People's Republic of China: A New Emphasis," with Y. K. Yu, The Science Teacher (February, 1979), 46:22-25.

39. "A Glimpse at Mathematical Standards in the People's Republic of China," with Y. K. Yu, the American Mathematical Monthly, 86:447-449.

40. "Mathematical Olympiads in the People' Republic of China," with Y. K. Yu, Educational Studies in Mathematics (1979), 10:435-449.

41. "Attitudes Towards Mathematics and Their Influencing Factors: A Cross-Cultural and Socioeconomic Comparison," with staff of Universiti Kebangsaan, Malaysia, International Education (Fall, 1979), 9:39-48.

42. "Mathematics, A Vehicle for Increasing Global Awareness," Curriculum Dimensions of Global Education (Harrisburg, Pa: The Pennsylvania Department of Education, 1980).

43. "Mathematics," The 1978 National College Entrance Examination for the People's Republic of China, Robert Barendsen ed. (Washington, D.C.: Office of Education, HEW, 1979), p. 92-97.

44. "A Perspective of Mathematics in the PRC," Chapter I, Chinese Mathematical Education, Jerry Becker, ed. (Salem, Oregon: The Math Learning Center, 1979), p. 6-15.

45. "What Ever Happened to the Peace Corps?," USA Today (1979), 108:8-12.

46. "The 'Four Modernizations' Movement and the Teaching of Physics in China," The Physics Teacher (1980), 18:362-366.

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47. "Determinants, Diagonals and Discovery," with V. N. Murty, The Mathematics Teacher (November, 1982) 75:682-685.

48. "Some Thoughts on Teaching the History of Mathematics," PCTM Journal (1982) 6:9-15.

49. "Some Thoughts on Teaching the History of Mathematics," Proceedings of the Second Southeast Asian Conference on Mathematics Education (Kuala Lumpur, University of Malaya Press, 1981) p. 103.

50. "Pennsylvania's Mathematically Talented Students: A Resource or a Liability?" with Ellen Shatto, PCTM Journal (Fall, 1981) 5:2-8.

51. "University Entrance Examinations in the People's Republic of China and the Rise of the New Mandarins," International Education (Fall, 1980) 10:7-14.

52. "The Mathematics Laboratory," Journal [Malaysia] (April, 1974) 19:5-10.

53. "Modern Mathematics - 'What Happened?' or Rather, 'What Didn't Happen?" Suara Pendidik [Malaysia] (December, 1980) 6:2-6.

54. "Teaching the History of Mathematics," Journal of Science and Mathematics Teaching in Southeast Asia (June, 1981) 4:34-39.

55. "The Reform of Physics Teaching in Malaysian Schools: A Case Study of Curriculum Adaptation," with Tamby Subahan, Science Education (1982) 66:171-180.

56. "Mathematics Entrance Examinations in Chinese Institutions of Higher Education," with Albert Chi, Educational Studies in Mathematics (1983) 14:39-53.

57. "The Use of Projects in Teaching the History of Mathematics," Historia Mathematica (1982) 9:201-205.

58. "What Ever Happened to the History of Mathematics?" The American Mathematical Monthly (1982) 89:695-97.

59. "The Australian Mathematics Competition for the Wales Awards," The Mathematics Teacher (May, 1983) 76:355-59.

60. "Attitudes Towards Mathematics and School Learning in Malaysia and Indonesia: Urban-Rural and Male-Female Dichotomies," with Hassan Langgulung and Abdul Rasid Johar, Universitie Kebangsaan Malaysia, Comparative Education Review (1983); reprinted: Akademia [Journal of Humanities and Social Sciences] (Malaysia) July, 1984. pp. 87-99;

(Psychology and Socio-Economic Development Abdul Othman and Wan Rahman (eds). (National University of Malaysia Press, 1990) pp.218 - 227.

61. "Seeking Relevance? Try the History of Mathematics," The Mathematics Teacher (January, 1984) 77:54-62. (Received 1984 Edpress Award for Educational Journalism.)

62. "A Brief Chronological and Bibliographic Guide to the History of Chinese Mathematics," with Ang Tian Se, University of Malaya, Historia Mathematica (1984) 11:39-56.

63. "Mathematics: A Vehicle for Better Global Understanding," The Mathematics Teacher (March, 1985) 78:207-215; Reprint, World Studies Journal (1985) 5:5-9.

64. "Cross Cultural Insights into the Question of Male Superiority in Mathematics: Some Malaysian Findings," Journal of Mathematical Behavior.

65. "A Mathematical Classic of Ancient China, The Sea-Island Mathematical Manual," with Ang Tian Se, Historia Mathematica (1986) 13:99-17.

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66. "The History of Mathematics as a Source of Classroom Problems," School Science and Mathematics (January, 1986) 86:33-38.

67. "Some Malay Systems of Measurement," Multicultural Teaching (Summer, 1983) 3:25-35.

68. "Measurement: A Malaysian Journey," New York State Mathematics Teachers Journal (1985) 35:147-154.

69. Mathematics: A Window on the World," Curriculum Review (November/December, 1985) 25:61-63.

70. "Peking Man to Socialist Man: The Teaching of Human Evolution in China," Science Education (July, 1986) 70:401-411.

71. "Rounding Out the Trigonometric Functions," The Mathematics Teacher (September, 1987) 80:472-474.

72. "An Historical Example of Mathematical Modeling: The Trajectory of a Cannonball," International Journal of Mathematical Education in Science and Technology (1989) 20:731-741.

73. "Using Problems from the History of Mathematics in Classroom Instruction," The Mathematics Teacher (May, 1989) 82:370-377.

74. "When and How Can We Use Modeling," The Mathematics Teacher (December, 1989) 82:722-726. (Included in Joe D. Austin, Applications of Secondary School Mathematics: Readings from the Mathematics Teacher NCTM, 1991).

75. "Numerals from Ancient China," Nämnaren (Sweden). 16:42-44 (1989).

76. "Proving the Pythagorean Theorem," Nämnaren (Sweden). 17:31-33 (1990).

77. "Cross-Cultural Insights into the Question of Male Superiority in Mathematics: Some Malaysian Findings," Mathematics, Education and Society [Science and Technology Education] Paris: UNESCO (1989) 35:139-40.

78. "Incorporating Mathematical Modeling into the Curriculum," The Mathematics Teacher (May, 1991) 84:358 365.

79. "Back to the Present: Ruminations on an Old Arithmetic Test: The Mathematics Teacher (Sept. 1993) 86:491-

496.

80. "Why Study the History of Mathematics:" Journal of the Cultural History of Mathematics (1992) 2:11-17.

81. "Fifteenth and Sixteenth European Arithmetic Texts: What Can We Learn From Them?" Science and

Education (1992) 1:365-378.

82. "The Incredible Shrinking Can or the Mathematics of Diminishing Returns Revealed," The Mathematics Teacher (Nov. 1993) 86:642-644.

83. "Right Triangle Concepts in Ancient China From Applications to Theory," History of Science (1993) 31:421-439.

84. "Evolution in Secondary School Biology Textbooks of the PRC, the USA and the Latter Stages of the USSR," with Frederick Swarts and Roger Anderson, Journal of Research in Science Teaching.

85. "The Search for the Perfect Letter," Connections (Fall, 1993) 2:40-51.

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86. "The Volume of a Sphere: A Chinese Derivation", The Mathematics Teacher. (Feb. 1995)88: 142-145.

87. "To Know and To Teach: Mathematical Pedagogy From an Historical Context," Educational Studies in Mathematics. (1995) 29:73-88.

88. "Some Not so Random Thoughts about the History of Mathematics", Primus (June, 1995) 5:97-107.

89. “Arcs and Circles: Some Problems from the History of Mathematics” SME (Science and MathematicsEducation). (1996) 8:4-9.

90. “Mathematical Modelling: A New Outlook for Mathematics Teaching” Journal of Scienceand Mathematics Teaching in Southeast Asia. (December 1995) 18:24-32.

91. “Ethnomathematics in Malaysia: Prospects and Challenges”, Menemui Matematik. [Discovering

Mathematics] (1995) 17:31-40.

92. “The Mathematical Quest for the Perfect Letter”, Humanistic Mathematics Network Journal. (1996) 13:1-8.

93. “Enigmas of Chinese Mathematics”, Vita Mathematica: Historical Research and Intergration With Teaching.

Ronald Calinger (ed), Washington, D.C.: Mathematical Association of America, (1996) pp. 87-97.

94. “Multiplication by the Cross , the Bell, or Cup or…?” SME (Science and Mathematics Education) 10:34-35.

95. “The History of Mathematics: A Journey of Diversity,” Multicultural and Gender Equality in the Mathematics Classroom: The Gift of Diversity. (1997 Yearbook) Janet Trentacosta (ed) (Washington, DC: NCTM, 1997) pp 121-130.

96. “Mathematics for Social Change: United States Experience in the Philippines, 1898-1925, “ Bulletin of the American Historical Collection Foundation (January-March, 1999) 27: 61-

80.

97. “Humanizing the Teaching of Mathematics” Pantas: A Journal for Higher Education (November, 1999) 10: 14-15.

98. Musings on the History of Mathematics,” Matimyas Matematika (1999) 22:39-45; SMTE (Science, Mathematics & Technical Education) [Brunei] (April, 2001) 94: 330 – 332.

99. “Mathematical Pedagogy: An Historical Perspective,” Using History to Teach Mathematics: An International Perspective. Victor Katz, (ed), Washington, DC: Mathematical Association of America (2000) pp 11 – 17.

100. “Problem Solving From the History of Mathematics,” Katz, pp 59 – 69.

101. “History of Mathematics, Overview,” Encyclopedia of Mathematics Education. Louise Grenstein and Sally Lapsey (eds) . (New York: Routledge Falmer, 2001) pp 316 – 323.

102. “The Most Magical of All Magical Squares,” Mathematics Teacher (Sept. 2001) 94:458 – 463.

103. “Figura Mercantesco: Merchants and the Evolution of a Number Concept in the Latter Middle Ages,” Word, Image, Number: Communication in the Middle Ages. John Contreni and Santa Casciani (eds), (Florence: SISMEL, 2001) pp 391 – 412.

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104. Teaching the History of Mathematics, Choosing a Text “Whither Thou Goest?”PRIMUS, (2003) 13: 165-173.

105. “David Eugene Smith: Mathematics Educator Extraordinaire,” New England Mathematics Journal. (May, 2004) 36: 14-21.

106. “Leibniz, the Yijing, and the Religious Conversion of the Chinese,” Mathematics Magazine (2003) 76: 276-291.

107. “The Way of the Luoshu: An Examination of the Magic Square of Order Three as a Mathematical and Cultural Artifact,” Proceedings, HPM 2004: History and Pedagogy of Mathematics. Uppsal,Sweden July 12 – 17, 2004. pp. 385-392.

108. “Using Problems From the History of Mathematics,” Convergence (http://convergence.mathdl.org) MAA, Spring, 2004.

109. “The Mystery of Robert Adrain,” Mathematics Magazine (2008) 81:332-344.

110. “Culture and the Development of Mathematics: An Historical Perspective,”Culturally Responsive

Mathematics Education. Brain Greer et.al. (eds), Routledge (2009 ). pp11-43.

111. “Word Problems: Footprints From the History of Mathematics,” Words and Worlds :Modelling Verbal Descriptions of Situations. Lieven Verschaffel et.al. (eds) Rotterdam: Sense Publishers (2009 ) pp.73-93.

C. Miscellaneous Publications: Informational material, reports to sponsors, major media interviews and citations, nonrefereed articles.

"Selected Aspects of Mathematics Education in the People's Republic of China," Mimeo Series No. 5, Department of Mathematics, Capitol Campus, The Pennsylvania State University (January, 1972), pp. 29.

Developmental Assessment Universiti Teknoloji Malaysia, Kuala Lumpur, Malaysia (December, 1975), pp. 47.

Assessment Report on Mathematics Education Programs, Jabatan Pendidikan, Universiti Kebangsaan Malaysia (July, 1976), mimeographed, pp. 25.

Article: "Inside the People's Republic," The Harrisburg Monthly Magazine, (May, 1978), pp. 27-28.

Interview: "China's College-Bound Youths Trail America's in Science" Washington Post (Nov. 29, 1979).

Citation: "China's Students Not as Well Prepared as Americans in Sciences, Test Indicates" Chronicle of Higher Education (Jan. 21, 1980).

Citation: "Schools in China Still Lag" New York Times (Feb. 17, 1980).

Citation: "How College-Bound Chinese, U.S. Students Compare" Philadelphia Inquirer (Mar. 2, 1980).

Interview: "The Chinese: A Way with Mathematics," New York Times (Nov., 82).

Article: "The Computerizing of America - Boon or Bust?" PTA Today (February, 1984) pp. 9-11.

Interview: "Genes, Math Link Challenged" The Washington Times (April 23, 1984).

Interview: NPR All Things Considered "Mathematics in the Time of Columbus," (Oct. 12, 1987).

Interview: CBS Nightline "The Mathematics in the Time of Columbus," (Oct. 12, 1987).

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Interview: ABC (Australian Broadcasting Co.), Canberra, "Mathematics in Australia: Impressions" (May, 1988); Sidney, "Mathematics Education in the U.S." (May, 1988).

"Mathematical Modeling in the School Curriculum" The Mathematics Teacher (Nov. 1988) 81:695.

Article: The Nine Chapters of the Mathematical Art: An Amazing Book," Consortium 33:4-6 (1989).

Article: "A Mathematical Retrospection" Pennsylvania State Mathematics Association of Two-Year Colleges Newsletter, Fall, 1990.

Feasibility Study: Academic Linkage, The Pennsylvania State University and Maktab Sains MARA, Malaysia" Office of International Programs, Penn State U., (May, 1990) pp. 6.

"Report of Evaluation Visit to Maktab Sains MARA (MSM) Kuantan, Malaysia," Office of International Programs, PSU. (September, 1990) pp. 14.

Article: "Shadow Reckoning: A Multicultural Ancestor of Trigonometry" Consortium. (Winter, 1993) pp 6-7.

Editorial: "More can be less, for non-math shoppers," The Patriot News Harrisburg, Pa, Oct. 12, 1992.

Book Chapters: "Geometry in Non-Western Cultures" pp 12; "Surveying in Non-Western Cultures" pp 8. Encyclopedia of Science, Technology, and Medicine in Non-Western Cultures

Helaine Seline (ed), (New York; Kluwer Academic Publishers,2000).

Editorial: "Math Team Shows Strength", The Patriot News, Harrisburg, PA, August 23, 1994, p. 7

Editorial: “Humanize the Teaching of Mathematics” New Straits Times (Malaysia) August 5, 1995, p 13.

Interview: “Maths not in Keeping with Progress” The Star (Malaysia) August 20, 1995, p. 27.

Mathematicians and Mathematics History (poster set) Portland, Me: J. Weston Walch Publishers, 1996.

Comment: “Popularizing Mathematics”, Mathematics Teacher (October 1995) 88:540.

Editorial: “Humanizing the Teaching of Mathematics”, Philippine Daily Inquirer (April 18, 1999) p6.

Interview: “How to Popularize Math for the Millenium,” Ann Stewart, Harrisburg Magazine (August 1999)

pp 30-32.

Contribution: “A Letter from Manila,” A Book of Blessings, Quenna Lee-Chua (ed) (Manila: Anvil Press, 1999) pp102-104.

Editorial: “Still the Best – American Education Has its Problems But Also Capacity For Creative Solution,” The Patriot News (Harrisburg, PA) August 19, 2001.

Editorial: “ Constituency Must Sustain Democracy”, The Patriot News, May 8, 2005 FO1.

Contribution; “Commerical Arithmetic” Medieval Science, Technology, Medicine: An Encyclopedia, Thomas Glick and Steven Livesey (eds). Milton Park,UK: Francis & Taylor, 2005,pp135-137.

Editorial: “The Truth is Anything We Can’t Believe”, The Patriot News Jan. 2007, FO1.

D. Reviews:

Zaslavsky, Claudia. Africa Counts (Prindle, Weber and Schmidt Inc., 1973) African Studies Review (Fall, 1973).

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Hawkins, John N. Mao Tse-Tung and Education: His Thoughts and His Teachings (The Show String Press, 1974) in Science and Society (Fall, 1975), 39:361-364.

Moffatt, Michael et al. The Ages of Mathematics (Doubleday and Company, Inc., 1977) in The Two-Year College Mathematics Journal (September 1978), 9:222-224.

Wilson, Bryan. Cultural Contexts of Science and Mathematics Education: A Bibliographic Guide (Centre

for Studies in Science Education, University of Leeds, 1981) in Educational Studies in Mathematics(1982).

Lancy, David F. Cross-Cultural Studies in Cognition and Mathematics (Academic Press, 1983) in Comparative Education Review, vol. 28 (Nov. 1984), pp. 666-667.

Steen, Lynn Arthur (ed.) Undergraduate Mathematics Education in the People's Republic of China, Report of a 1983 North American Delegation (Mathematical Association of America, 1984) The Mathematics Teacher (October 1984 77:573.

van der Waerden, B. L. Geometry and Algebra in Ancient Civilizations (Springer-Verlag, 1983) Historia Mathematica (1986) 13:83-85.

Parker, Franklin and Parker, Betty June. Education in the People's Republic of China, Past and Present: An Annotated Bibliography (Garland Publishing Co., 1986) in Comparative Education Review (May, 1987) 31:310-312.

Ifrah, Georges. From One to Zero: A Universal History of Numbers (Viking Penguin Inc., 1987) The American Mathematical Monthly. (March, 1989) 96:273-274.

Closs, Michael (ed). Native American Mathematics (University of Austin Press, 1987). Historia Mathematica (1988) 15:384-386.

Li Yan and Du Shiran. Chinese Mathematics: A Concise History (Oxford, Clarendon Press, 1987) Historia Matematica. (May, 1989) 16:191-93.

Tignol, Jean-Pierre. Galois Theory of Algebraic Equations (New York: John Wiley & Sons) The Mathematics Teacher. (Jan. 1989) 82:70.

Howson, A. G. and Kahane, J. P. (ed.) The Popularization of Mathematics (New York: Cambridge University Press, 1990) The Mathematics Teacher. (Feb. 1992) 85:154.

Joseph, George G. The Crest of the Peacock: Non-European Roots of Mathematics(London: I.B. Tarus, 1991) The American Mathematical Monthly 99 (Aug-Sept, 1992) pp. 692-694.

Ascher, Marcia. Ethnomathematics: A Multicultural View of Mathematical Ideas (Pacific Grove, CA.: Brooks/Cole Publishing, 1991). The College Mathematics Journal (Sept. 1992) 23:353-355

O'Halloran, Peter et. al. More of All the Best From the Australian Mathematics Competition (Canberra: Australian International Centre for Mathematics Enrichment, 1992) Mathematics Teacher (Sept. 1993) 86:503.

Pacioli Society. Luca Paciolo, Unsung Hero of the Renaissance (video) (South-Western Publishing Co., 1990). Newsletter Study Group for History and Pedagogy of Mathematics. (Winter, 1992).

Mathematical Association of America. Journey Through Genius: The Video (Carbondale, IL: Universal Video, 1992). Newsletter SGHPM. (Winter, 1992).

Schmandt-Besserat, Denise. Before Writing, vol I: From Counting to Cuneiform (Austin, TX: University of Texas Press, 1992) Historia Mathematica. (1993) 20:220-222.

Lam Lay Yong and Ang Tian Se. Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China (Singapore: World Scientific Publishing Co., 1992) American Mathematical Monthly. (Nov. 1994) pp 921-23.

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Albers, Donald et al. More Mathematical People (New York: Harcourt Brace, 1990). Mathematics Teacher (Dec. 1994) 87:723.

Clawson, Calvin. The Mathematical Traveler: Exploring the Grand History of Numbers (New York; Plenum, 1994)

The College Mathematics Journal (Nov. 1995).

Hadden, Richard W. On the Shoulders of Merchants: Exchange and the Mathematical Conception of Nature in Early Modern Europe (Albany, NY: State Univ. of New York Press, 1994) Historia Mathematica (1995) 22: 446-448.

Pappas, Theoni, Mathematical Scandals (Wide World Publications, 1997) Mathematics Teacher (April, 1998) 91: 356, 358.

Morrow, Lorna and Kenney, Margaret (eds). The Teaching and Learning of Algorithms in School Mathematics, 1998 Yearbook. (Washington, DC: National Council of Teachers of Mathematics) Mathematics Teacher (February, 1999) 92: 175 – 6.

Crosby, Alfred. The Measure of Reality: Quantification and Western Society, 1250-1600 (New York: Cambridge University Press, 1997) Historia Mathematica (May, 2000) 27: 303 – 305.

Casti, John and Werner DePauli. G ö del: A Life of Logic (Cambridge, MA: Perseus Publications, 2000) Mathematics Teacher (April, 2001) 94: 330 – 332.

Shen Kang-shen, et. Al. The Nine Chapters of the Mathematical Art: Companion and Commentary (Oxford: Oxford University Press, 1999) American Mathematical Monthly (Aug, 2001) 108: 673 – 675.

Herz-Fischler, Roger. The Shape of the Great Pyramid (Waterloo: Wilfrid Laurier Univeristy Press, 2000) The College Mathematics Journal (Jan, 2002) 33: 69 – 70.

Apostol, Tom. Project MATHEMATICS! The Tunnel of Samos; The Early History of Mathematics (California Institute of Technology, 1995, 2000) Mathematics Teacher (February,2000) 95:158-59.

Mankiewicy, Richard. The Story of Mathematics, (Princeton University Press, 2000) Mathematics Teacher(March, 2002) 95: 236.

Omnes, Roland. Quantum Philosophy: Understanding and Interpreting Contemporary Science, (Princeton University Press, 2002) Mathematics Teacher (January, 2003) 96:78.

Berlinghoff, William and Gouvea, Fernando. Math Through the Ages: A Gentle History for Teachers and Others. (Farmington, ME: Oxton House Publishers, 2002) College Mathematics Journal (July, 2003) 34:424.

Stanic, George and Kilpatrick, Jeremy (eds). A History of School Mathematics 2 vols. (Washington, D.C.: National Council of Teachers of Mathematics, 2003) Mathematics Teacher (December, 2004) 98: 359-360.

E. Lectures and Professional Presentations (1980-present)

"Concrete Operational Teaching in Mathematics," Conference on Piagetian Research and Teaching, Regional Educational Centre for Science and Mathematics; Penang, Malaysia (September, 1980).

"Using the History of Mathematics in Teaching," Second Southeast Asian Conference on Mathematical Education; Kuala Lumpur, Malaysia (April 21-24, 1981).

"University Study in the United States," USIS lecture, Kuala Lumpur, Malaysia (May, 1981).

"Seeking Relevance? Try the History of Mathematics," Pennsylvania Council of Teachers of Mathematics [PCTM] Annual Meeting; Valley Forge, Pa. (March 19, 1982).

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"Trends in Chinese Mathematics Education," Graduate Research Seminar, University of Maryland (April 8, 1983).

"In the Beginning - the 'New Math' of the 15th Century," PCTM Annual Meeting; Pittsburgh, Pa. (March 17, 1983).

"Teaching Mathematics with Global Perspectives," National Council of Teachers of Mathematics [NCTM] Regional Meeting; Philadelphia, Pa. (Nov. 9-11, 1984).

"Problem Solving with Historical Perspectives," PCTM Annual Meeting; Harrisburg, Pa. (March 16, 1984).

"Teaching Elementary School Mathematics," Teacher Training Institute, Petaling Jaya, Malaysia (June, 1985).

"Techniques of Research in Mathematics Education," Graduate Seminar, Faculty of Education, Universiti Malaya (July, 1985).

"Developing a Mathematical Science Program," USIS Lecture, University of Singapore (August, 1985).

"The Training of Elementary Mathematics Teachers," USIS Lecture, University of Brunei (August, 1985).

"Mathematics and Culture: the Missing Link" PCTM Annual Meeting; Pittsburgh, Pa. (March 13-15, 1986).

"Using the History of Mathematics in Its Teaching," Teacher's Conference, Harrisburg Area Community College (October, 1987).

"Problem from the History of Mathematics: A Source of Information," International Study Group on the Relations Between History and Pedagogy of Mathematics; Anaheim, Cal. (April, 1987).

"Problem Solving Performances of Malaysian Students - Are There Sexual Differences?" International Study Group on Ethnomathematics; Chicago (April, 1988).

"Ethnomathematics, What is it?" Australian College of Education, Canberra. (May 10, 1988).

"Teacher Training and Classroom Practice in Socialist Countries with Particular Emphasis on China" Sydney Institute of Education, Sydney College of Advanced Education (May 12, 1988).

"Using Problems from the History of Mathematics in Its Instruction," Central Pennsylvania Mathematics Consortium, Shippensburg University (Spring, 1988).

"Cross-Cultural Insights into the Question of Male Superiority in Mathematics: Some Malaysian Findings," Sixth International Congress on Mathematical Education; Budapest, Hungary (July 27-Aug. 3, 1988).

"Trigonometry Comes Out of the Shadows," "Using Problems from the History of Mathematics in Classroom Instruction," Kristiansand Conference on the History of Mathematics; Kristiansand, Norway (Aug. 8-11, 1988).

"From Mysticism to Utility: the Foundations of Mathematics in Ancient China," "Learning to Count Again: European Experiences of the Late Middle Ages," National Teachers Workshop on the History of Mathematics; Gotenburg University, Gotenburg, Sweden (Jan. 13-14, 1989).

"Using the History of Mathematics in the Classroom," NCTM Regional Meeting; Chattanooga, TN (March 15-17, 1989).

"The History of Mathematics in Elementary Education," PCTM Annual Meeting; Harrisburg, Pa. (March 17, 1990).

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"Using the History of Mathematics in Teaching," NCTM Annual Meeting, New Orleans, LA. (April 20, 1991).

"The Sea Island Mathematical Manual," International Study Group on the Relations Between History and Pedagogy of Mathematics, New Orleans, La. (April 22, 1991).

"Textbooks in the Middle Ages and Today: Thoughts on the Function of the Textbook in Mathematics Education," Faculty Seminar, Centre for Mathematics Education, The Open University, Milton Keynes, U.K., (May 20, 1991).

"Why Research the History of Mathematics?" Plenary address, The International Conference on the History of Mathematics and the Education of History of Mathematics: Baotou, China (August 9-14, 1991); Research presentation "On the Content and Form of 15-16th Century, European Arithmetic Books."

"What's New in the History of Mathematics?" Annual Meeting American Mathematical Society and the Mathematical Association of American Baltimore, Md. (January 8-11, 1992).

"The Enigmas of Chinese Mathematics" Plenary address, History and Pedagogy of Mathematics Study Group Quadrennial Meeting, Toronto, Canada (August 12-14, 1992).

"The Volume of a Sphere in Ancient China" Invited address, American Mathematical Association Annual Meeting, Washington, DC (April 17-18, 1992).

"The Chinese Derivation for the Volume of a Sphere: Mathematical and Pedagogical Implications" Plenary lecture, History of Mathematics and Education conference, British Society for the History of Mathematics, Winchester, England (March 28-31, 1994).

"Mathematical Pedagogy from an Historical Perspective" History and Pedagogy of Mathematics Study Group Annual Meeting, Indianapolis, IN (April 13-16, 1994).

"Mathematics and Culture" Conference, Multiculturalism in Basic and Higher Education Concepts, Curricula and Practices, University Park, PA. (May 6-7, 1994).

“Mathematical Modeling in the Secondary School Curriculum” Plenary address MATHED 95, Strengthening Collaboration in Mathematics Education, Manila (April 19-20, 1995)

“Mathematics Reforms in the United States: Teaching and Content”, Faculty Seminar, National University of Malaysia (April 28, 1995)

“Mathematical Pedagogy from an Historical Perspective” Institute of Education, University of Brunei (May 2, 1995)

“Societal Impact on Mathematics Teaching and Learning” Institute of Technology, Bandung, Indonesia (May 8, 1995)

“Mathematical Modeling in School Classrooms” and “Using History in Mathematics Teaching” Workshop at Institute of Teaching and Pedagogy, Bandung, Indonesia (May 11, 1995)

“Activities for Teaching Primary School Mathematics” Workshop for National Curriculum Development Center, Malaysia (June 19-24, 1995)

“Mathematical Problem Solving” Workshop for ASEAN teachers, RECSAM Center, Penang, Malaysia (August 14-18, 1995)

“Let Us Humanize Mathematics Instruction” Curriculum Development Center, Malaysia (September 4-6, 1995)

“A Journey Through the History of Mathematics” Children’s Workshop, National Library of Malaysia (September 9, 1995)

“Using Resources in Mathematics Teaching” Workshop, RECSAM, Penang, Malaysia (October 24-27, 1995)

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“Problem Solving from the History of Mathematics,” “Mathematics Pedagogy: An Historical Perspective.” Historia e Educacao Matematica, Braga, Portugal (July 24-30, 1996).

“Figura Mercantesco: Merchants and the Evolution of a Number Concept in the Middle Ages” Word, Image, Number: Communications in the Middle Ages Conference, University Park, PA. (April 4-5, 1997)

“What’s New in the History of Mathematics?” Honors Lecture, Harrisburg Area Community College, (February, 18 1998)

“The Yin and the Yang of Chinese Mathematics” History and Pedagogy of Mathematics Study Group Annual Meeting, Washington, D.C. (April 4, 1998)

“Humanizing the Teaching of Mathematics” University of the Philippines, Manila (March 3, 1999)

“Let Us Humanize Mathematics Teaching.” SEACME8, Ateneo de Manila University, Manila (May 30-June 4, 1999)

“The History of Mathematics and the Teaching of Mathematics.” NCTM Regional Meeting, Halifax, NS (July 20, 2000)

“Using the History of Mathematics in Teaching”, NCTM National Meeting, San Antonio,TX (April,2003)

“What You Always Wanted to Know about the History of Mathematics” NCTM Regional Meeting, Baltimore, MD (October,2004)

“ Culture and Mathematics: An Historical Perspective” Conference on Culturally Responsive Mathematics, National Science Foundation, Wash. D.C. (November 6-9, 2004).

“The Way Of the Luoshu; An Examination of the Magic Square of Order Three …”, 4th European Summer University, History and Epistemology in Mathematics Education, Uppsala, Sweden (July 12-17, 2004).

“To Know How to See: The Realities of Teaching and Learning”, Alternate Forms of Knowledge Construction,

Research Seminar, Portland State University, 9 May 18-19, 2006). See video http://www.media.pdx.edu/Mukhopadhayay/Swetz051806asx

“Mathematics in Ancient China” PREP Workshop, “Mathematics in Asia’s Past”, Mathematical Association of America, Wash. D.C. (June 10-15, 2007).

“Using Historical Problems to Enrich Mathematics Teaching”, 5th EDU, Prague, Czech Republic, (19- 24, July 2007).

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