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Dr. Sheldon Gordon

Distinguished Teaching Professor
Mathematics
 gordonsp@farmingdale.edu

Research/Publications

  • Changes in the mathematics curriculum
  • Implementation of technology throughout the mathematics curriculum
  • Mathematical needs of the partner disciplines

Recent Talks & Presentations

DIGMath SOFTWARE PACKAGES

BOOKS

  1. Functions, Data, and Models: An Applied Approach to College Algebra (co-author), MAA Textbooks, Mathematical Association of America, 2010.
  2. A Fresh Start for Collegiate Mathematics: Rethinking the Courses Below Calculus, (co-editor), Nancy Baxter Hastings, et al., Eds., MAA Notes #69, Mathematical Association of America, 2006.
  3. Functioning in the Real World: A PreCalculus Experience, (principal author), Math Modeling/ PreCalculus Reform Project, Addison-Wesley, 2004.
  4. Contemporary Statistics: A Computer Approach, textbook and software package (co-author), McGraw- Hill, 1994.
  5. Calculus, The Harvard Core Calculus Consortium (co-author), Wiley, 1998.
  6. Calculus: Single and Multivariable, The Harvard Core Calculus Consortium (co-author), Wiley, 1998.
  7. Multivariable Calculus, The Harvard Core Calculus Consortium (co-author), Wiley, 1997.
  8. Calculo, Spanish translation of Calculus, 1st Edition, by Hughes Hallett, Gleason, Gordon, et al., Mexico City, Mexico, 1996.
  9. Calculo, Portuguese translation of Calculus, 1st Edition, by Hughes Hallett, Gleason, Gordon, et al., Sao Paulo, Brazil.
  10. Calculo de Varias Variaveis, Portuguese translation of Multivariable Calculus, 1st Edition, by McCallum, Hughes Hallett, Gleason, Gordon, et al., Sao Paulo, Brazil.
  11. Applied Calculus for Business, Economics and Biology, The Harvard Core Calculus Consortium (co-author), Wiley, 1996.
  12. Brief Calculus for Business, Economics and Biology, The Harvard Core Calculus Consortium (co-author), Wiley, 1997.
  13. Statistics for the Twenty First Century, MAA Notes #26, 1992.
  14. Calculus: The Dynamics of Change, (co-editor), Wayne Roberts, et al., Eds., MAA Notes, 1996.
  15. Calculus and the Computer, Prindle, Weber & Schmidt, 1986.

RECENT (and not so recent) ARTICLES

  1. Visualizing and Understanding l'Hopital's Rule,  Int'l J of Math Education in Science and Technology, 2017.
  2. Approximating Exponential and Logarithmic Functions with Lagrange Interpolating Polynomials, (with Yajun Yang), Int'l J of Math Education in Science and Technology, 2017.
  3. Using Secant Parabolas to Find Roots, (with Yajun Yang).
  4. Visualizing and Understanding Confidence Intervals using Dynamic Software, (with Florence Gordon), Math and Computer Education, 2016.
  5. Taking Your Chances on Excel.
  6. Taking Control of Excel, Math and Computer Education, 2016. 
  7. Visualizing the Components of Lagrange and Newton Interpolation (with Yajun Yang), PRIMUS, 2015.
  8. Curve Fitting and Lagrange Interpolation, (with Yajun Yang).
  9. Deriving Simpson's Rule Using Newton Interpolation, (with Yajun Yang), Math and Computer Education, (to appear).
  10. Functioning in Excel, Math and Computer Education, 2016.
  11. The Flavor of a Modeling Based College Algebra or Precalculus Course, UMAP Journal, 2016.
  12. Finding the Complex Roots of Polynomials, The MathAMATYC Educator, 2016.
  13. Visualizing Techniques of Integration, Math and Computer Education, 2015.
  14. Numerical Integration - One Step at a Time, (with Yajun Yang), PRIMUS, 2016.
  15. How Rational is the Tangent Function, The MathAMATYC Educator, 2015.
  16. Using Quartile-Quartile Lines as Linear Models, PRIMUS, 2015.
  17. Approximating Sinusoidal Functions with Interpolating Polynomials, (with Yajun Yang).
  18. Finding Polynomial Patterns and Newton Interpolation, (with Yajun Yang), Math and Computer Education, 2014.
  19. Developing a Mathematics Curriculum for the Biosciences, (with Matthew Bahamonde, Sarah Gross, Carlos Marques, Irina Neymotin, Jack Winn), (to appear).
  20. How Rational is a Logarithmic Function, Math and Computer Education, 2014.
  21. Subdivisions for Definite Integrals with Uniform Spacing, Math and Computer Education, 2014.
  22. Interpolation and Polynomial Curve Fitting (with Yajun Yang), The Mathematics Teacher, 2014. 
  23. The Geology of Mathematics, Guest Editorial, UMAP Journal, 2014.
  24. Integrating Statistics into College Algebra to Meet the Needs of Biology Students, (with Florence Gordon), in Undergraduate Mathematics for the Life Sciences: Processes, Models, Assessment, and Directions, MAA Notes, 2013.
  25. Investigating Convergence Patterns for Numerical Methods Using Data Analysis, PRIMUS 2013.
  26. Adding A New Dimension to Mathematics, The Mathematics Teacher, 2013.
  27. Mathematics Education Must Evolve, Math and Computer Education, 2013.
  28. Fitting Tangent Functions to Data, Math and Computer Education, 2013.
  29. Time, Tides, and Temps Wait for All Students The MathAMATYC Educator, 2013.
  30. Some Surprising Errors in Numerical Differentiation, PRIMUS, 2012.
  31. Algebra Must Evolve,  Vision - Potential: College Algebra Newsletter, 2012. 
  32. Building on Errors in Numerical Integration, Math & Computer Education, 2011.
  33. Introducing Functions of Several Variables in Lower Division Courses, MathAMATYC Educator, 2011.
  34. Placement Testing: The Great Abyss, Vision -- Potential, 2011.
  35. Errors in Mathematics are Not Always Bad, The Mathematics Teacher, 2011.
  36. Finding the Best Quadratic Fit to a Function (with Yajun Yang), Int'l J. of Mathematics Education in Science and Technology, 2011.
  37. Exposing the Mathematical Wizard: Approximating Trigonometric and Other Transcendental Functions, The Mathematics Teacher, 2011.
  38. Intermediate Algebra in High School vs. College, Vision - Potential: College Algebra Newsletter, 2011.
  39. The Average Distance in an Ellipse, Math and Computer Education, 2010.
  40. The State of Mathematics Education Today:  What Happens in the Classroom, J of Economics and Finance, 2010.
  41. What the Partner Disciplines Want from College Algebra, Vision - Potential: College Algebra Newsletter, 2010.
  42. The Status and Purpose of College Algebra, Vision - Potential: College Algebra Newsletter, 2010.
  43. The Statistics of a Function (with Florence Gordon), International J. of Mathematics Education in Science and Technology, 2010.
  44. Mathematics for the Laboratory Sciences, MathAMATYC Educator (premier issue), 2009.
  45. Visualizing and Understanding Probability and Statistics: Graphical Simulations Using Excel, (with Florence Gordon), PRIMUS, 2009.
  46. Doubling Time for Non-Exponential Families of Functions The Mathematics Teacher, 2009.
  47. Modeling Population Growth and Extinction PRIMUS, 2009.
  48. The Curriculum Foundations Project in Mathematics and Economics, (with Richard Vogel), MAA Focus, 2009.
  49. What's Wrong with College Algebra?, PRIMUS, 2008.
  50. A Tale of Two Students, PRIMUS, 2008.
  51. Taylor Approximations and Definite Integrals, PRIMUS, 2007.
  52. Using the Sum of the Squares, (with Florence Gordon), Mathematics and Computer Education, 2008.
  53. Finding the Best Linear Approximation to a Function (with Yajun Yang), Mathematics and Computer Education, 2008.
  54. Comparing the Continuous and Discrete Logistic Models, PRIMUS, 2008.
  55. College Algebra:  Today's Students, Tomorrow's Courses,  MAA Focus, 2008.
  56. Discovering the Fundamental Theorem of Calculus using Data Analysis, (with Florence Gordon), The Mathematics Teacher, 2007.
  57. Placement: The Shaky Bridge between School and College Mathematics, (college version), Placement and Assessment Newsletter, AMATYC, 2006
  58. Fitting Surge Functions to Data, PRIMUS, 2007.
  59. When Does a Curve Bend Most Rapidly: The Curvature Function of a Function (with Loucas Chrysafi), Mathematics and Computer Education, 2006.
  60. Placement: The Shaky Bridge between School and College Mathematics, The Mathematics Teacher, 2006.
  61. What Does Conceptual Understanding Mean?  The AMATYC Review, 2006.
  62. Interconnected Quantitative Learning at Farmingdale State University, (with Jack Winn), in Models of Quantitative Literacy, Rick Gillman, ed, MAA Notes, 2006.
  63. Approximating Functions with Exponential Functions, PRIMUS, 2006.
  64. Rethinking Placement in Mathematics, AMATYC Committee on Articulation and Placement Newsletter, 2006.
  65. Preparing Students for Calculus in the Twenty First Century, in A Fresh Start for Collegiate Mathematics: Rethinking the Road Toward Calculus, Nancy Baxter Hastings, Ed., MAA Notes, 2006.
  66. The Need to Rethink Placement in Mathematics, in A Fresh Start for Collegiate Mathematics: Rethinking the Road Toward Calculus, Nancy Baxter Hastings, Ed., MAA Notes, 2006.
  67. Where Do We Go From Here: Forging a National Initiative to Refocus the Courses Below Calculus, in A Fresh Start for Collegiate Mathematics: Rethinking the Road Toward Calculus, Nancy Baxter Hastings, Ed., MAA Notes, 2006.
  68. The Functioning in the Real World Project, in A Fresh Start for Collegiate Mathematics: Rethinking the Preparation for Calculus, Nancy Baxter Hastings, Ed., MAA Notes, 2006.
  69. Discovering the Chain Rule Graphically,  Mathematics and Computer Education, 2005.
  70. Developing a 2020 Vision for Mathematics Education, in Generating a Vision for Undergraduate Mathematics, Gary Krahn, Ed., West Point, 2005.
  71. What’s Wrong with College Algebra?  SUNY/UUP Working Papers Discussion series.
  72. Deriving the Linear Regression Equations Using Algebra, Mathematics and Computer Education, 2004.
  73. Deriving the Quadratic Regression Equations Using Algebra, Mathematics and Computer Education, 2004.
  74. Taylor's Theorem and the Derivative Tests for Optima and Inflection Points, PRIMUS, 2004.
  75. Algebra for the New Millennium, Int'l J. of Computer Algebra in Math Education, 2004.
  76. An Individualized Term Project for Multivariate Calculus, PRIMUS, 2004.
  77. Mathematics for the New Millennium, in Proc, International Conference on Mathematics Education, Copenhagen, 2004. 
  78. Grant Writing to Enhance Teaching and Learning, Teaching-Talk, 2002.
  79. Using Data Analysis to Motivate Derivative Formulas, Mathematics and Computer Education, 2002.
  80. Using Data Analysis to Discover the Fundamental Theorem of Calculus, PRIMUS, 2003.
  81. Refocusing the Courses Below Calculus, in Proc 13th Intl Conf on Tech in Collegiate Math, Addison-Wesley, 2003.
  82. Discovering New Trig Identities, The Mathematics Teacher, 2003.
  83. Rethinking the Preparation for Calculus (co-author), MAA FOCUS, 2002.
  84. The Implications of Hand-Held Computer Algebra System Calculators Throughout the Mathematics Curriculum (with Arlene Kleinstein), AMATYC Review, 2002.
  85. A Spoonful of Medicine Makes the Mathematics Go Down, The AMATYC Review, 2001.
  86. Renewing the Precursor Courses: New Challenges, Opportunities, and Connections, in Calculus Renewal:  Issues for Undergraduate Mathematics Education in the Next Decade, Susan Ganter, Ed., Plenum Publishing, 2000.
  87. Mathematical Articulation in New York State: Smoothing the Mathematical Transitions of Students,  MetroMath, 2000.
  88. Preparing Students Mathematically for the Twenty First Century, in Proc, Int' Conf. on Mathematics Education, Tokyo, 2000.
  89. Mathematics Education at SUNY Farmingdale (with Arlene Kleinstein, Jack Winn).  in Proc Int'l Conf on Mathematics Education, 2000.
  90. Preparing Students Mathematically for the Twenty First Century, in Proc Int'l Conf on Mathematics Education, 2000. 
  91. What Does Being a Good Math Student Mean?, in Technology in Mathematics Education, AMATYC, 2000.
  92.  Revisiting Lanchester's Square Law for Military Stalemates, Math & Computer Education, 2000.
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