Department of Mathematics

Humboldt State University

Arcata, CA 95521

Office: BSS 346

EMAIL:flashman at humboldt.edu

Humboldt State University

Arcata, CA 95521

Office: BSS 346

EMAIL:flashman at humboldt.edu

HSU:707-826-4950 (office/voice
mail)

707-826-3140 (FAX)

**Contact me [video conference] through Firefox "Hello"**

At Forty-Second Annual State of Jefferson Mathematics Congress October 5, 2013

707-826-3140 (FAX)

At Forty-Second Annual State of Jefferson Mathematics Congress October 5, 2013

My old web page ( a framed webpage for limited reference only)

Course archive (Fall, '97 to Spring, '16)

Old Plans & Schedules

Download Winplot from Peanut Software.

Please send suggestions and comments to

E-Mail: flashman at humboldt.edu

Most recent update: 5-19-16

My
Schedule:

Fall, 2016: Not in Residence: Faculty Early Retirement Program.

**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.]**** **

"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),** ComputerBasedMath**
™(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 "www.humboldt.edu/~mef2" are being readdressed as needed with "users.humboldt.edu/flashman"

I continue to work on this.

Flash :)

Fall, 2016: Not in Residence: Faculty Early Retirement Program.

Recent (and not so Recent - back to 2011) Stuff

**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."**- 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"**,CMC^{3}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.
- 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**.

"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),

"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)

Utah Workshop Materials:(1) Mapping Diagrams and (2) Sensible Calculus, July, 2012

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

HOM SIGMAA

Links are being reconfigured and some are inactive or incorrect.

Older pages need reworking to be made handicapped accessible.

Links starting with "www.humboldt.edu/~mef2" are being readdressed as needed with "users.humboldt.edu/flashman"

I continue to work on this.

Flash :)