Izmirli

Ilhan M. Izmirli, Ph.D.
Department of Statistics
Volgenau School of Engineering
George Mason University
Engineering Building Room 1723

4400 University Drive, MS 4A7
Fairfax, VA 22030 - 4444

Phone: (703) 993 - 5168
Fax: (703) 993 - 1700

See also
Mathematics Education International Directory,
United States of America
http://www.directorymathsed.net/?c=usa

Presentations:

  1. A Markov Chain Approach to Coupon Collector’s Problem. Contributed paper presented in the 2021 Joint Statistical Meeting held in Washington Convention Center, Seattle, WA. August 7-12, 2021 (August 11, virtual presentation).
  2. An Elementary Proof of the Hexachord Theorem. Contributed paper presented in the Spring Meeting of The Mathematical Association of America, MD-DC-VA Section (virtual), April 23-24, 2021.
  3. STEM vs. STEAM: A Discord Debunked. Discipline Based Education Research Conference held in Center for Science, Mathematics, and Computer Education, University of Nebraska, Lincoln (online). March 1 – 3, 2021.
  4. On the Applications of Ricatti Differential Equations to Some Special Cases of the Two-Body Problem with Variable Masses. Paper presented in the SIMIODE EXPO 2021 and Modeling Based Differential Equations Conference. February 12 – 13, 2021.
  5. On Pedagogy of Mathematics: A Social Constructivist Proposal. 2020 International Conference of The Korean Society of Mathematics Education to be held in Sogang University, Seoul, Korea (online). December 11 – 12, 2020.
  6. On Some Special Cases of the Two-Body Problem with Variable Masses. The Fourth International Conference on Applied Mathematics and Computational Science held in Venice, Italy (online), October 26 – 28, 2020.
  7. Group Theoretic Representation of Just Intonation. Contributed paper presented in the Fall Meeting of The Mathematical Association of America, MD-DC-VA Section (virtual), Nov 7, 2020.
  8. Harmonic Numbers as Expected Values: Some Interesting Problems in Probability and Their Pedagogical Implications. Contributed paper presented in the Activity 79 session of the 2020 Joint Statistical Meeting held in Philadelphia, PA. August 1 – August 6, 2020 (virtual).
  9. Wittgenstein and Social Constructivism. Contributed paper presented at the Joint Meeting of AMS/MAA held in Baltimore January 16 – 19, 2019.
  10. Group Theory and Atonal Music. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at University of Mary Washington, Fredericksburg, VA. November 2-3, 2018.
  11. What is Statistics? A talk given in the STEM Engineering Youth Week at George Mason University, Fairfax, VA. February 17, 2018.
  12. Bernoulli’s Ars Conjectandi and Its Pedagogical Implications. Contributed paper presented in the “Useful Classroom Activities” session of the 2016 Joint Statistical Meeting held in McCormick Place, Chicago. July 29 – August 4, 2016.
  13. A Passage through Brobdingnag: René Descartes and the Differential Calculus. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at St. Mary’s College of Maryland, St. Mary’s City, MD, November 6 - 7, 2015
  14. From Measurement Errors to Normal Distributions: A Brief History and Its Pedagogical Implications. Contributed paper presented in the “Strategies, Issues, and Examples for Teaching Statistics in Health Sciences — Contributed Papers” session of the 2015 Joint Statistical Meetings held in the Washington State Convention Center, Seattle, Washington. August 08 –13, 2015.
  15. An Old Problem Meets Modern Day Sudoku. Contributed paper presented in the Meeting of History and Pedagogy of Mathematics – Americas Section held at American University, Washington, D.C., March 13 – 15, 2015.
  16. Interval Vectors. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at James Madison University, Harrisonburg, VA. April 25-26, 2014.
  17. A Case Study on the Use of History in Statistics Classes: The Fisher-Neyman Dispute. Contributed paper presented in the "Teaching outside the Box, Ever So Slightly" session of the 2013 Joint Statistical Meetings held in Palais des congrès de Montréal, Montréal, Canada. August 3 – 8, 2013.
  18. Wittgenstein Was a Social Constructivist. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at Salisbury University, Salisbury MD. April 12-13, 2013.
  19. An Elementary Proof of Mean Inequalities. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Virginia Military Institute, Lexington, VA. October 26-27, 2012.
  20. Izmirli, I. and S. Surina-Chimiak. Bloom’s Taxonomy and the Teaching of Introductory Statistics Classes. Contributed paper presented in The Joint Statistical Meetings of the American Statistical Society held in San Diego Convention Center July 28 - August 2, 2012.
  21. Mathematics and Music. Invited Colloquium Talk given at Montgomery College, Germantown, MD. April 26, 2012.
  22. Wittgenstein Was a Social Constructivist. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at Salisbury University, Salisbury MD. April 12-13, 2013.
  23. Radical Constructivism and Pedagogy of Mathematics. Talk given at American Mathematical Society Eastern Section-HPM Americas Meeting. March 17-18, 2012, George Washington University, Washington D.C.
  24. Experimental Mathematics as a Pedagogical Tool. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Christopher Newport University, Newport News, VA, November 4 – 5, 2011.
  25. The Role of Philosophy of Mathematics Education in Developmental Mathematics. Colloquium paper presented at the DEAM (Developmental Education Association of Maryland) 2011 Conference held in Annapolis MD, May 5 – 6 2011.
  26. Egyptian Unit Fractions. Invited Colloquium Talk at the Mathematics Department, George Mason University, Fairfax, VA, April 22, 2011. http://math.gmu.edu/colloquium.htm
  27. Does The Term “Dark Ages” Reflect Eurocentricism in Mathematics? Contributed paper presented in the Meeting of History and Philosophy of Mathematics held in American University, Washington, D.C., March 12 - 13, 2011.
  28. Categorizing Musical Pieces by Their Correlation Coefficients. Contributed paper presented in MathFest 2010, Pittsburgh, PA, August 5-7, 2010.
  29. On The Ethnomathematics – Epistemology Nexus: Ethnomathematics and the Nature of Mathematical Knowledge. Paper presented at The Fourth International Conference on Ethnomathematics. Towson State University, Towson, MD, July 25 – 30, 2010.
  30. Egyptian Unit Fractions. Contributed paper presented in the Meeting of History and Pedagogy of Mathematics held in the MAA Carriage House, Washington, D.C., March 13 – 14, 2010.
  31. Directional Pitch Spaces. Invited paper presented at the Third Mathematics and Its Connections to Arts and Sciences Symposium that was held in Université de Moncton, New Brunswick, Canada, May 21 – 23, 2009.
  32. Does a Postmodernist Philosophy of Mathematics Make Sense? Is “2 = 2 = 5” Correct as Long as One’s Personal Situation or Perspective Requires It? Contributed paper presented in the Meeting of History and Pedagogy of Mathematics held in the MAA Carriage House, Washington, D.C., March 14 – 15, 2009.
  33. What Exactly Is Halley’s Contribution to Newton’s Method? Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Hood College, Frederick, MD, November 7 – 8, 2008.
  34. How Necessary Are Proofs in Mathematics? A Brief History. Contributed paper presented in the Meeting of History and Pedagogy of Mathematics held in the Carriage House, Washington, D.C., April 19 – 20, 2008.
  35. Euler’s Theory of Harmony as Developed in “Tentamen novae theoria musicae.” Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Anne Arundel Community College, Arnold, MD, November 9 – 10, 2007.
  36. The Contributions of Hamit Dilgan to Mathematics Education in Turkey. Invited lecture presented at the Technical University of Istanbul, Istanbul, Turkey, December 19, 2006.
  37. Who Really Discovered E = mc2? Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Longwood University, Farmville, VA, November 3 – 4, 2006.
  38. An Elementary Proof of the Singularity of Generalized Lucas Matrices. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Montgomery College, Germantown, MD, November 4 – 5, 2005.
  39. Does Teaching Introductory Mathematics through Musical Concepts Improve Students’ Comprehension of the Subject? Contributed paper presented in MathFest 2005, University of New Mexico, Albuquerque, N.M., August 6, 2005.
  40. A Generalization of Pascal and Fibonacci Triangles. Contributed paper presented in MathFest 2004, Providence Rhode Island August 12 – 14, 2004.
  41. A Precalculus Approach to Elliptic Integrals. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at Salisbury University, Salisbury MD, April 23 – 24, 2004.
  42. A Geometric Proof of Landen Transform. Invited paper presented in Bosphorus University, Istanbul, Turkey, December 24, 2003.
  43. On the Arithmetic-Geometric Mean of Gauss. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Johns Hopkins University, Baltimore, MD, November 7 – 8, 2003.
  44. Some Problems on Magic Squares, Difference Triangles, and Permutations. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at University of Maryland, College Park, MD, November 1 – 2, 2002.
  45. Some Recreational Problems in the Theory of Equations and Number Theory. Contributed paper presented in Mathfest 2002, Burlington, VT, August 1-3, 2002.
  46. Dissipative Systems in Physical and Biological Sciences. Invited paper for Sixth World Multiconference on Systemics, Cybernetics, and Informatics held in Orlando, July 14 - 18, 2002.
  47. Two-Dimensional Arrays of Pitch Classes. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at St. Mary’s College of Maryland, St. Mary’s MD, April 12 – 13, 2002.
  48. Invariance Vectors in Music. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Virginia Tech, Blacksburg, VA, October 18 - 19, 2001.
  49. A Finite Difference Method Approach to the Solution of a Nonlinear Schrödinger Equation. Invited lecture presented in the Twelfth International Colloquium on Differential Equations held August 18 - 23 2001 in Plovdiv, Bulgaria.
  50. On an Indeterminate Problem of Ibn Hamza. Contributed paper presented in the Summer Meeting of the Canadian Mathematical Society held at University of Saskatchewan, Saskatoon, Saskatchewan, Canada, June 2 – 4, 2001.
  51. On Some Contributions of Nasiredin Tusi to Geometry, Trigonometry, and Astronomy. A preliminary report presented in the American Mathematical Society 2001 Joint Mathematics Meeting held on January 10-13, 2001 in New Orleans, LA.
  52. Fractals and Music. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at American University, Washington, D.C., November 18, 2000.
  53. A survey of chaos theory and its impact on social sciences. Invited lecture presented in the Eleventh International Colloquium on Differential Equations held August 18 - 23 2000 in Plovdiv, Bulgaria.
  54. Mathematics of C-spaces. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at Bowie State University, Bowie, MD, April 29, 2000.
  55. The Role of Chaos Theory in Social Sciences. Contributed paper presented in the Hudson River Undergraduate Conference held in Vassar College, Poughkeepsie, New York, April 8, 2000.
  56. Sets and Ordering Procedures in Post Tonal Music. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Loyola College, Baltimore, MD. November, 1999.
  57. Mathematics and Atonal Music. Invited paper presented in the ACODI conference at Howard University, Washington, D.C., October 2, 1999.
  58. Mathematical Aspects of Music, part I. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at James Madison University, Harrisonburg, VA, April 10, 1999.
  59. Mathematical Sciences during the Byzantine Empire. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Towson State University, in Towson MD, November 14, 1998.
  60. On Some Mathematical Properties of the Pyramid of Cheops. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at Virginia State University in Petersburg, VA, April 18, 1998.
  61. An Uncommon Interpretation of Euclid’s Fifth Postulate and the Curvature of a Space. Contributed paper presented in the Joint Meeting of The American Mathematical Society and The Mathematical Association of America, Baltimore, MD, January 10, 1998.
  62. Pythagorean Synthesis and Irrational Numbers. Contributed paper presented in the Fall Meeting of The Mathematical Association of America held at Mount St. Mary’s College, Emmittsburg, MD, November 22, 1997.
  63. A Dialectical Approach to the Concept of Number - Foundations of Mathematics. Contributed paper presented in the Spring Meeting of The Mathematical Association of America held at College of William and Mary, Williamsburg, VA, April 19, 1997.
  64. In What Way Are Numbers Real? Was Pythagoras Completely Crazy? Televised on WNVT (Channel 53, Fairfax, VA) and via satellite in PBS nationwide, October 1994.
  65. What Should We Mean By “Reality?” (A Moral Inquiry) Invited talk delivered at the Lubber Run Park Amphitheater, Arlington, VA, August 28, 1994.
  66. Mathematics in the Arts. Invited lecture at The Yeshiva School, Silver Spring, MD. December 1990.
  67. How Are Philosophy and Mathematics Related? Invited lecture at Thomas Jefferson High School of Science and Technology, Alexandria, VA, April 1989.
  68. Spline Functions in Approximation Theory. Seminar given at George Mason University Mathematics Department, Fairfax, VA, Fall Semester, 1988.
  69. On Finite Element Methods. Seminar given at George Mason University Mathematics Department, Fairfax, VA, Spring Semester, 1988.
  70. Convexity of Biquadratic Interpolants. Contributed paper presented at the Joint conference of Virginia Tech/ICAM, Blacksburg VA, October 1987.
  71. Shape Preserving Interpolation. Seminar given at George Mason University Mathematics Department, Fairfax, VA, Fall Semester, 1987.