# 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

### DIGMath SOFTWARE PACKAGES

- Dynamic Investigatory Graphical Displays of Math: DIGMath Graphical Simulations for Statistics and Probability in Excel
- Dynamic Investigatory Graphical Displays of Math: DIGMath Graphical Investigations for College Algebra and Precalculus in Excel
- Dynamic Investigatory Graphical Displays of Math: DIGMath Graphical Investigations for Calculus in Excel
- Dynamic Investigatory Graphical Displays of Math: DIGMath Graphical Investigations for Numerical Analysis in Excel

### BOOKS

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

### RECENT (and not so recent) ARTICLES

- Visualizing and Understanding Sampling Distributions Using Dynamic Simulations, (with Florence Gordon).
- Using Secant Parabolas for Root Finding, (with Yajun Yang), The Mathematics Teacher, 2018, (to appear).
- Visualizing and Understanding Regression and Correlation using Dynamic Software, (with Florence Gordon), Int'l J. of Technology in Mathematics Education, 2018.
- Approximating Sinusoidal Functions Using Lagrange Interpolation, (with Yajun Yang), The MathAMATYC Educator, 2018.
- Visualizing and Understanding Hypothesis Testing, (with Florence Gordon), PRIMUS, 2018, (to appear).
- Visualizing and Understanding l'Hopital's Rule, Int'l J of Math Education in Science and Technology, 2017.
- Approximating Exponential and Logarithmic Functions with Lagrange Interpolating Polynomials, (with Yajun Yang), Int'l J of Math Education in Science and Technology, 2017.
- Using Secant Parabolas to Find Roots, (with Yajun Yang) (to appear).
- Visualizing and Understanding Confidence Intervals using Dynamic Software, (with Florence Gordon), Math and Computer Education, 2016.
- Taking Your Chances on Excel.
- Taking Control of Excel, Math and Computer Education, 2016.
- Visualizing the Components of Lagrange and Newton Interpolation (with Yajun Yang), PRIMUS, 2015.
- Curve Fitting and Lagrange Interpolation, (with Yajun Yang).
- Deriving Simpson's Rule Using Newton Interpolation, (with Yajun Yang), Math and Computer Education, (to appear).
- Functioning in Excel, Math and Computer Education, 2016.
- The Flavor of a Modeling Based College Algebra or Precalculus Course, UMAP Journal, 2016.
- Finding the Complex Roots of Polynomials, The MathAMATYC Educator, 2016.
- Visualizing Techniques of Integration, Math and Computer Education, 2015.
- Numerical Integration - One Step at a Time, (with Yajun Yang), PRIMUS, 2016.
- How Rational is the Tangent Function, The MathAMATYC Educator, 2015.
- Using Quartile-Quartile Lines as Linear Models, PRIMUS, 2015.
- Approximating Sinusoidal Functions with Interpolating Polynomials, (with Yajun Yang).
- Finding Polynomial Patterns and Newton Interpolation, (with Yajun Yang), Math and Computer Education, 2014.
- Developing a Mathematics Curriculum for the Biosciences, (with Matthew Bahamonde, Sarah Gross, Carlos Marques, Irina Neymotin, Jack Winn), (to appear).
- How Rational is a Logarithmic Function, Math and Computer Education, 2014.
- Subdivisions for Definite Integrals with Uniform Spacing, Math and Computer Education, 2014.
- Interpolation and Polynomial Curve Fitting (with Yajun Yang), The Mathematics Teacher, 2014.
- The Geology of Mathematics, Guest Editorial, UMAP Journal, 2014.
- 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. - Investigating Convergence Patterns for Numerical Methods Using Data Analysis, PRIMUS 2013.
- Adding A New Dimension to Mathematics, The Mathematics Teacher, 2013.
- Mathematics Education Must Evolve, Math and Computer Education, 2013.
- Fitting Tangent Functions to Data, Math and Computer Education, 2013.
- Time, Tides, and Temps Wait for All Students The MathAMATYC Educator, 2013.
- Some Surprising Errors in Numerical Differentiation, PRIMUS, 2012.
- Algebra Must Evolve, Vision - Potential: College Algebra Newsletter, 2012.
- Building on Errors in Numerical Integration, Math & Computer Education, 2011.
- Introducing Functions of Several Variables in Lower Division Courses, MathAMATYC Educator, 2011.
- Placement Testing: The Great Abyss, Vision -- Potential, 2011.
- Errors in Mathematics are Not Always Bad, The Mathematics Teacher, 2011.
- Finding the Best Quadratic Fit to a Function (with Yajun Yang), Int'l J. of Mathematics Education in Science and Technology, 2011.
- Exposing the Mathematical Wizard: Approximating Trigonometric and Other Transcendental Functions, The Mathematics Teacher, 2011.
- Intermediate Algebra in High School vs. College, Vision - Potential: College Algebra Newsletter, 2011.
- The Average Distance in an Ellipse, Math and Computer Education, 2010.
- The State of Mathematics Education Today: What Happens in the Classroom, J of Economics and Finance, 2010.
- What the Partner Disciplines Want from College Algebra, Vision - Potential: College Algebra Newsletter, 2010.
- The Status and Purpose of College Algebra, Vision - Potential: College Algebra Newsletter, 2010.
- The Statistics of a Function (with Florence Gordon), International J. of Mathematics Education in Science and Technology, 2010.
- Mathematics for the Laboratory Sciences, MathAMATYC Educator (premier issue), 2009.
- Visualizing and Understanding Probability and Statistics: Graphical Simulations Using Excel, (with Florence Gordon), PRIMUS, 2009.
- Doubling Time for Non-Exponential Families of Functions The Mathematics Teacher, 2009.
- Modeling Population Growth and Extinction PRIMUS, 2009.
- The Curriculum Foundations Project in Mathematics and Economics, (with Richard Vogel), MAA Focus, 2009.
- What's Wrong with College Algebra?, PRIMUS, 2008.
- A Tale of Two Students, PRIMUS, 2008.
- Taylor Approximations and Definite Integrals, PRIMUS, 2007.
- Using the Sum of the Squares, (with Florence Gordon), Mathematics and Computer Education, 2008.
- Finding the Best Linear Approximation to a Function (with Yajun Yang), Mathematics and Computer Education, 2008.
- Comparing the Continuous and Discrete Logistic Models, PRIMUS, 2008.
- College Algebra: Today's Students, Tomorrow's Courses, MAA Focus, 2008.
- Discovering the Fundamental Theorem of Calculus using Data Analysis, (with Florence Gordon),
*The Mathematics Teacher,*2007. - Placement: The Shaky Bridge between School and College Mathematics, (college version),
*Placement and Assessment Newsletter,*AMATYC, 2006 - Fitting Surge Functions to Data, PRIMUS, 2007.
- When Does a Curve Bend Most Rapidly: The Curvature Function of a Function (with Loucas Chrysafi),
*Mathematics and Computer Education*, 2006. - Placement: The Shaky Bridge between School and College Mathematics,
*The Mathematics Teacher*, 2006. - What Does Conceptual Understanding Mean?
*The AMATYC Review*, 2006. - Interconnected Quantitative Learning at Farmingdale State University, (with Jack Winn), in
*Models of Quantitative Literacy*, Rick Gillman, ed, MAA Notes, 2006. - Approximating Functions with Exponential Functions, PRIMUS, 2006.
- Rethinking Placement in Mathematics, AMATYC Committee on Articulation and Placement Newsletter, 2006.
- 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. - 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. - 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. - 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. - Discovering the Chain Rule Graphically, Mathematics and Computer Education, 2005.
- Developing a 2020 Vision for Mathematics Education, in
*Generating a Vision for Undergraduate Mathematics,*Gary Krahn, Ed., West Point, 2005. - What’s Wrong with College Algebra? SUNY/UUP Working Papers Discussion series.
- Deriving the Linear Regression Equations Using Algebra, Mathematics and Computer Education, 2004.
- Deriving the Quadratic Regression Equations Using Algebra, Mathematics and Computer Education, 2004.
- Taylor's Theorem and the Derivative Tests for Optima and Inflection Points, PRIMUS, 2004.
- Algebra for the New Millennium, Int'l J. of Computer Algebra in Math Education, 2004.
- An Individualized Term Project for Multivariate Calculus, PRIMUS, 2004.
- Mathematics for the New Millennium, in
*Proc, International Conference on Mathematics Education*, Copenhagen, 2004. - Grant Writing to Enhance Teaching and Learning, Teaching-Talk, 2002.
- Using Data Analysis to Motivate Derivative Formulas, Mathematics and Computer Education, 2002.
- Using Data Analysis to Discover the Fundamental Theorem of Calculus, PRIMUS, 2003.
- Refocusing the Courses Below Calculus, in
*Proc 13th Intl Conf on Tech in Collegiate Math*, Addison-Wesley, 2003. - Discovering New Trig Identities, The Mathematics Teacher, 2003.
- Rethinking the Preparation for Calculus (co-author), MAA FOCUS, 2002.
- The Implications of Hand-Held Computer Algebra System Calculators Throughout the Mathematics Curriculum (with Arlene Kleinstein), AMATYC Review, 2002.
- A Spoonful of Medicine Makes the Mathematics Go Down, The AMATYC Review, 2001.
- 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. - Mathematical Articulation in New York State: Smoothing the Mathematical Transitions of Students, MetroMath, 2000.
- Preparing Students Mathematically for the Twenty First Century, in
*Proc, Int' Conf. on Mathematics Education*, Tokyo, 2000. - Mathematics Education at Farmingdale State College (with Arlene Kleinstein, Jack Winn).
in
*Proc Int'l Conf on Mathematics Education*, 2000. - Preparing Students Mathematically for the Twenty First Century, in
*Proc Int'l Conf on Mathematics Education*, 2000. - What Does Being a Good Math Student Mean?, in
*Technology in Mathematics Education*, AMATYC, 2000. - Revisiting Lanchester's Square Law for Military Stalemates, Math & Computer Education, 2000.

### Recent Talks & Presentations

- AMATYC - 2012: Mathematical Modeling: The Right Courses for the Right Students for the Right Reasons
- Math for America workshop -- August, 2012: Creating Mathematical Models from Real-World Data
- AMATYC - 2010: Integrating Statistics into a Modeling-Based College Algebra Course
- The Mathematics the Partner Disciplines Want and Our Students Need
- Mathematics for the Lab Sciences
- Rethinking the Courses Below Calculus
- What's Wrong with College Algebra?
- Placement Tests: The Shaky Bridge Connecting School and College Mathematics
- MAA - 2007: Mathematics for Biology
- AMATYC: What Does Conceptual Understanding Mean?
- ICTCM - 2006: Leaks in the Pipeline: Where Our Students Go and Where they Don't Go
- ICTCM 2007 conference: A Fresh Start to Collegiate Mathematics: Rethinking the Courses Below Calculus
- Voices of the Partner Disciplines: CRAFTY's Curriculum Foundations Project