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

Publications:

  1. On the Applications of Ricatti Differential Equations to Some Special Cases of the Two Body Problem with Variable Masses. The American Journal of Applied Mathematics and Statistics, Vol 9, Issue 2, 53-56. May, 2021. http://www.sciepub.com/ajams/content/9/2
  2. A Modification of the Formula for the Average Velocity of a Planet. The American Journal of Applied Mathematics and Statistics, Vol. 9, No. 1, February, 2021.
  3. Izmirli, Ilhan M. 2020. Harmonic Numbers as Expected Values: Some Interesting Problems in Probability and Their Pedagogical Implications. In JSM Proceedings, Section on Statistical Education. Alexandria, VA: American Statistical Association.
  4. Some Reflections on the Philosophy of Mathematics Education: A Denunciation of the Time and Content Arguments. Pedagogical Research. February 15, 2020.
  5. Magribȋ’nin Mekke Problemi Sudoku ile Buluşuyor. 2019. Matematik Dünyası. Vol. 26, No. 107, pp 39-43.
  6. Izmirli, Ilhan M. 2016. Bernoulli’s Ars Conjectandi and Its Pedagogical Implications. In JSM Proceedings, Section on Statistical Education. Alexandria, VA: American Statistical Association. 318-327.
  7. Al-Maghribi’s Mecca Problem Meets Sudoku. In Mathematical Association of America, Convergence, August 2016: https://www.maa.org/press/periodicals/convergence/al-maghrib-s-mecca-problem-meets-sudoku
  8. Izmirli, Ilhan M. 2015. From Measurement Errors to Normal Distributions: A Brief History and Its Pedagogical Implications. In JSM Proceedings, Section on Teaching of Statistics in the Health Sciences. Alexandria, VA: American Statistical Association. 1487-1496.
  9. A Passage through Brobdingnag: René Descartes and the Differential Calculus, November 2015. http://sections.maa.org/mddcva/Fall2015MeetingSlides.php
  10. An Algorithm to Generalize the Pascal and Fibonacci Matrices. In Journal of Applied Mathematics. Vol. 6, No. 6, June, 2015. See also http://dx.doi.org/10.4236/am.2015.66101
  11. Al-Maghribî’s Mecca Problem Meets Sudoku. http://www.hpm-americas.org/meetings/2015-east-coast/​ March, 2015.
  12. On Some Properties of Digital Roots. In Advances in Pure Mathematics. Vol. 4, No. 6, June 2014. See also http://www.scirp.org/journal/APM/.
  13. On the Insolvability of the Demarcation Problem. In International Journal of Academic Research in Education and Review, May 2014. See also http://www.academicresearchjournals.org/IJARER/All%20Articles.htm
  14. Wittengstein’s Language Games and Forms of Life from a Social Constructivist Point of View. In American Journal of Educational Research. Volume 2, Number 4, 2014
  15. Interval Vectors. http://sections.maa.org/mddcva/Spring2014MeetingSlides.php. May 2014.
  16. Wittgenstein Was a Social Constructivist. http://sections.maa.org/mddcva/Spring2013Meeting.php, May 2013.
  17. The Basic Process of Data Analysis: Theory and Practice. 2013. ISBN: 978-1-61549-573-3
  18. On the Significance of History-Based Research Projects in Undergraduate Mathematics. 2013. In Open Mathematics Education Notes (OMEN), vol. 3, May 2013. See also http://www.imvibl.org.
  19. An Elementary Proof of Mean Inequalities. In Advances in Pure Mathematics, Volume 3, Number 3, May 2013, 331 – 339. See also http://www.scrip.org/journal/apm.
  20. Wittgenstein as a Social Constructivist. In Philosophy of Mathematics Education Journal, Number 27, April, 2013. See also http://www.people.exeter.ac.uk/PErnest.
  21. Izmirli, I. and S. Surina-Chimiak. 2012. Bloom’s Taxonomy and the Teaching of Introductory Statistics Classes. In JSM Proceedings. 2646 – 2662.
  22. Categorizing Musical Pieces by Their Correlation Coefficients. In Journal of Interdisciplinary Mathematics, Vol.14, Issue 4, August 2011 pp.
  23. Pedagogy on the Ethnomathematics-Epistemology Nexus: A Manifesto. In The Journal of Humanistic Mathematics, 1 (2): 27 – 50. July, 2011. Also available at http://scholarship.claremont.edu/jhm/vol1/iss2/4.
  24. Does a Postmodernist Philosophy of Mathematics Make Sense? Is “2 + 2 = 5” Correct as Long as One's Personal Situation or Perspective Requires It? in Philosophy of Mathematics Education Journal Issue 26, 2011.
  25. Izmirli, I. (2011). Directional Pitch Spaces. In B. Sriraman & V. Freiman (Eds), Interdisciplinarity for the 21st Century: Proceedings of the 3rd International Symposium on Mathematics and its Connections to Arts and Sciences, Moncton 2009. Monograph 11 in The Montana Mathematics Enthusiast Monographs in Mathematics Education, Information Age Publishing, Charlotte, NC, pp. 327-346.
  26. Some Examples of Dissipative Systems in Physical and Biological Sciences in Advances and Applications in Mathematical Sciences, Volume 3, Issue 2, April 2010, p. 189 – 214.
  27. Study of Instantaneous Rate of Change in a Historical Context. 2010. Saarbrücken, Germany: VDM Verlag. ISBN 978-3-639-09358-2
  28. An Elementary Approach to Elliptic Integrals: Gaussian Averages and the Landen Transform. International Journal of Applied Mathematics and Statistics, vol. 18, No. S10, September 2010, p. 49 - 68.
  29. Examples of Gonseth’s Idonéisme in Pedagogy of Mathematics: Time Dependence of Mathematical Concepts and Their Proofs. Epistemologia, XXXII (2009), pp. 209 – 218.
  30. On The Contributions of Middle Eastern Mathematicians to Arithmetic, Algebra, Trigonometry, and Astronomy during the Middle Ages. Submitted for publication to AMS on-line journal CONVERGENCE.
  31. Math, Naturally. Interview by Jen Waters published in Washington Times, August 11, 2005.
  32. A Finite Difference Method Approach to the Solution of a Nonlinear Schrödinger Equation in International Journal of Differential Equations and Applications, Vol 6, No 2, 2002.
  33. On the Applications of Chaos and Catastrophe Theories to Social Sciences in International Journal of Differential Equations and Applications, Vol 2, No 4, 2001.
  34. An Introduction to Topics in Discrete Mathematics. Pearson Custom Publishing, 2001. ISBN 0-536-67201-6
  35. Einstein: A life in Contradictions in Strayer University Faculty Senate Newsletter, Vol 4, Issue 1, April 2000.
  36. Mathematics and Atonal Music in Proceedings of ACODI Conference, 1999.
  37. The Mathematical Side of Music in Strayer University Faculty Senate Newsletter, Vol II, Issue 1, December 1998.
  38. Solutions Manual for Topics in Discrete Mathematics. Prentice-Hall, 1998.
  39. On Approximation of Functions of Several Variables in DOGA, Istanbul, Turkey, January 1991.
  40. On Bounding a Spline Operator In Terms of Certain Selection of Interpolation Points in DOGA Istanbul, Turkey, January 1991.
  41. On The Lq - Norm Estimates of the Error of Approximation of Spline Functions by B-polygons Via an Adaptive Scheme, submitted for publication in The Czechoslovakian Journal of Mathematics, December 1990.
  42. Waring - Hilbert Teoremi Üzerine (On Waring-Hilbert Theorem) M.S. Thesis, published by the University of Istanbul, 1978.

Web Publications:

  1. Wittgenstein Was a Social Constructivist. http://sections.maa.org/mddcva/Spring2013Meeting.php, May 2013.
  2. Does The Term “Dark ages” Reflect Eurocentricism in Mathematics?
    http://www.hpm-americas.org/wp-content/uploads/2011/05/Nasial-Dinal-Tusi.pdf, March 2011.
  3. On The Ethnomathematics – Epistemology Nexus: Ethnomathematics and the Nature of Mathematical Knowledge. http://www.slideshare.net/ICEM4 July 2010.
  4. Egyptian Unit Fractions. www.HPM-Americas.org March 2010.