Martin Flashman, Professor of Mathematics, HSU

Professor Emeritus of Mathematics

Fall, 2017: Visitor to University of Arizona, Tucson, AZ.

Find out about the Sensible Calculus Program (Older Version.)

Mapping Diagrams from A(lgebra) B(asics) to C(alculus) and D(ifferential) E(quation)s. A Reference and Resource Book on Function Visualizations Using Mapping Diagrams (In Development-Draft Version 12-2013)

Recent (and not so Recent - back to 2011) Stuff [Papers/Presentations/etc.]

Links to Presentation "Making Sense of Functions with Mapping Diagrams:
From Algebra Basics to Calculus" ATM 2017 Conference, April 12, 2017, Stratford-on-Avon, England.
"Complex Variables: Mapping Diagrams for Visualizing Complex Arithmetic and Functions Dynamically with GeoGebra", ATM 2017 Conference, April 11, 2017, Stratford-on-Avon, England.
Links to Presentation, "Making sense of solving equations visually using functions and mapping diagrams" Culture, Pedagogy and Identity Interest Group, Mathematics Education Centre, Loughborouogh University, March 29, 2017.
Links to Sept./Oct. 2016 Presentations: Lecture Tour of Oregon, Washington, & Idaho
Links to Presentations"Using Mapping Diagrams to Make Sense of Functions and Equations" ATM 2016 Conference, March 31, 2016,Warwick, England.
"Mapping Diagrams for Complex Variable Functions Visualized Dynamically with GeoGebra" ICTCM 2016 March 12, 2016, Atlanta, GA.
"Complex Variables: Mapping Diagrams for Visualizing Complex Arithmetic and Functions Dynamically with GeoGebra" HSU Mathematics Department Colloquium, March 3, 2016
"Visualizing Complex Variable Functions with Mapping Diagrams: Linear Fractional Transformations." MAA Contributed Paper Session on Revitalizing Complex Analysis, Jan.9, 2016.
What Place Does Philosophy Have in Teaching Mathematics? Preliminary report (pdf). POMSIGMAA Contributed Paper Session on Using Philosophy to Teach Mathematics, Jan. 7, 2016.
"Making Sense of Calculus with Mapping Diagrams", JMM, MAA Minicourse #7 Jan 7 and 9, 2016, (LINKS)
"Making Sense of Solving Linear and Quadratic Equations with Mapping Diagrams",CMC³ Conference, Monterey, CA, December 12, 2015 (Links)
"Equations, Functions, and Mapping Diagrams in Common Core" , CMC North Conference, Pacific Grove, CA, December 12, 2015 (Links)
"Mapping Diagrams Take on Calculus and Complex Variables" HSU Mathematics Department Colloquium, Feb. 5, 2015
"Using Mapping Diagrams to Understand Linear Functions",UC Davis Math Project Saturday Series 2014-15,November 1, 2014 (Links)

"Do You Want Your Students To Write Proofs? Suggestions to Improve Writing Proofs." Project NExT Panel at MathFest, August 6, 2014. (Link to presentation)
Introduction to Sensible Calculus: A Thematic Approach, The Anja S. Greer Conference on Mathematics, Science and Technology
June 22 - June 27, 2014 (Links to presentations and materials)
"Functions, Duality, and Mapping Diagrams", UC Davis Math Club Presentation, May 22, 2014.
AMATYC Webinar, "Using Mapping Diagrams to Understand Trigonometric Functions" April 10, 2014.

"The Role of Philosophy in Proof:Euclid's Proof of Proposition One.", Folsom Lake Math Club March 19, 2014 YouTube (30 minutes)
"A Sensible Approach to Calculus: Differential Equations, Estimation, and Modelling in The Fundamental Theorem.",Sacramento Valley Community College Mathematics Conference, March 15, 2014 (pdf) YouTube Part I YouTube Part II
"The Role of Philosophy in Proofs",HSU Colloquium, Feb 27, 2014 . YouTube (30 minutes)
"Making Sense of Series and Sequences in The First Calculus Course."JMM, Baltimore, MD. January 18, 2014 (pdf)
"Functions, Duality, and Mapping Diagrams" Folsom Lake College Math Club Presentation, Dec. 11, 2013, Folsom, CA.
"Visualizing Linearity:Alternatives to Lines and Planes" Sacramento City College, Dec. 10, 2013.
"Functions, Duality, and Mapping Diagrams" Howard University Presentation, December 2, 2013, Washington, DC.
"Concepts to Drive Technology in the 21st Century" (html), ™(YouTube Video) (CBM) Education Summit, UNICEF, NYC, Nov.22 ,2013.
"Functions, Duality, and Mapping Diagrams" Forty-Second Annual State of Jefferson Mathematics Congress October 5, 2013, Orick, CA
"Logic is Not Epistemology:Should Philosophy Play a Larger Role in Learning about Proofs?" MathFest, Hartford, CT, August 2, 2013
"A Simple Proof of the Classification of Conics by the Discriminant ," MathFest, Hartford, CT, August 2, 2013
"Projection: Examples to Illuminate Unification, Generalization, and Abstraction." HSU Colloquium, March 28, 2013
"Designing an Introduction to Proofs Course Understanding the Problem: Unification, Generalization or Abstraction?" JMM. San Diego, January 10, 2013 (pdf)
"The Benefits of A Habit: Examining Evidence to Understand Statements and Proofs." JMM. San Diego, January 12, 2013 (pdf)
"Learning from Newton" (pdf) HPM, Berkeley, CA 10-28-2012
Utah Workshop Materials:(1) Mapping Diagrams and (2) Sensible Calculus, July, 2012
"Square Roots: Adding Philosophical Contexts and Issues to Enhance Understanding." JMM, New Orleans, January 8, 2011 (pdf)
"Two Different Approaches to Getting Students Involved in Writing Proofs ." JMM, New Orleans, January 07, 2011 (pdf)

Miscellaneous:
Personal Stuff: A resume.(pdf) ; A biographical sketch.
HSU Pre-Law Advising Homepage [I am one of the HSU Pre-Law Advisers]

POM SIGMAA (Philosophy of Mathematics) Find out more about this Special Interest Group of the MAA.
HOM SIGMAA (History of Mathematics) Find out more about this Special Interest Group of the MAA.

*WORK IN PROGRESS

This site is still under reorganization.
Links are being reconfigured and some are inactive or incorrect.
Older pages need reworking to be made handicapped accessible.
Links starting with "flashman.neocities.org" are being readdressed as needed with "flashman.neocities.org"
I continue to work on this.
Flash :)

Martin Flashman*

*WORK IN PROGRESS