• "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)
• To Be Entered: MD Presentations at  ICTCM LasVegas, Sping, 2015; Nevada Math Project Conference (Reno), UN.Las Vegas, New Mexico State University. University of Northern Arizona Colloquium and Math Club, and Maui CC Math Club- Summer/Fall, 2015,
• "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
• "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) (CBM) Education Summit, UNICEF, NYC, Nov.22 ,2013
• AMATYC Webinar, "Using Mapping Diagrams to Understand Functions"  (Watch on youtube) October 15, 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
• "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)
• "What can we learn from Newton's estimate of ln(2)?" HPM Conference:Berkeley, CA 10-28-2012(link to pdf)
• Utah Workshop Materials:(1) Mapping Diagrams and (2) Sensible Calculus, July, 2012
• "What is A Number?" HSU Faculty Lecturer Series, April 19, 2012.
  
  
• "Newton Estimates the Natural Logarithm of 2: A History Lesson for Calculus II." JMM, Boston, MA. January 06, 2012.
• "Visualizing Linearity: Alternatives to Lines and Planes." Occidental  College Math Department Colloquium. LA. CA, November 21, 2011.
• "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 ." (.pdf conversion- in part)JMM, New Orleans, January 07, 2011 (pdf)
• "The History of Logarithms:A glimpse of some highlights." Occidental College Colloquium, LA, CA. November 23, 2010
  
• "The Articulation of Mathematics-A Pragmatic/Constructive Approach to The Philosophy of Mathematics." JMM, San Francisco, Jan.14, 2010.
• "Which Came First? The Philosophy, the History, or the Mathematics?" Mathfest 2009, Portland Oregon, August 6, 2009
• Visualizing Linear Functions with and without Graphs!  (Power Point Presentation) Saturday October 25, 2008 CMCFN Conference, Arcata, CA
• Teaching and the philosophy of mathematics. MAA Minicourse #13 January 6 and 8, 2008. San Diego, CA.
• "What Place Does Philosophy Have in Teaching Mathematics?" Preliminary report. (.ppt  file) MAA Jan. 6, 2007
• "Real Numbers: Models and The Proof of The Continuum Hypothesis " (.ppt file) Math Dept. Colloquium, CSU Sacramento, November 9, 2006.
  
• "Math and Music" (.ppt file) Presentation at MESA,Cabrillo College, Sept. 14, 2006.
• "Life on a Torus:Some of the Mathematics from the World of Pacman", CSUMB Colloquium, Sept. 15, 2006
• "Mathematics, Music, and the Guitar" (.ppt  file).",  Occidental College Colloquium, April 21, 2006.
• "Dynamic Visualization of Calculus I-III " CSU Dominguez Hills Mathematics Colloquium, March 1, 2006
• "Visualizing Partial Derivatives without Graphs." MAA Jan. 14, 2006 (pdf)
• "The Square Root of 2, Pi, and the King of France: Ontological and Epistemological Issues Encountered(and Ignored) in Introductory Mathematics Courses.." MAA Jan. 12, 2006 (Power point)
• "The Incredible Number 7 " Occidental College Colloquium (Power Point Presentation) Sept. 16, 2005
• "Winplot -Freeware for Pre-calculus through Calculus III and Differential Equations" CMC³ Dec. 3, 2004
• "Estimating  Integrals Using Polynomials:A Tale of Two Problems (and a little history as well)
  Eureka High School, May 27,2004
• Winplot 2 Hour Workshop at AMATYC Conference, Salt Lake City, Nov. 15, 2003
• "Winplot -Freeware for Pre-calculus through Calculus III and Differential Equations" ICTCM Nov. 2, 2002
• "Using Probability to Understand Calculus ", MAA Jan. 7, 2002 
• "The Continuum Hypothesis:  A Look at the History of the Real Numbers in The Second Millennium. ", MAA Jan. 7, 2002 
• Technology and the History of Mathematics  ICTCM  12 Nov. 6, 1999 
• Dynamic Visualization of PreCalculus and Calculus Concepts with Geometer's Sketchpad (AMATYC Workshop).  Nov. 5, 1998 
• "Dynamic Visualization of Calculus I-III with The Geometers' Sketchpad" Mathfest '98.
• "Concepts to Drive Technology", in Proceedings of the Fifth Annual International Conference on Technology in Collegiate Mathematics, edited by Lewis Lum, November,1992.
  
• UMAP Editorial (1990) 11 : 93-96. A Sensible Calculus. 
• "Differential Equations: A Motivating Theme for Sensible Calculus." An unpublished paper related to one theme of the Sensible Calculus. I welcome your comments on it.
  
 
• HSU Math Dept. Colloquia:
  
• "The Role of Philosophy in Proofs",HSU Colloquium, Feb 27, 2014 . YouTube (30 minutes)
• "Projection: Examples to Illuminate Unification, Generalization, and Abstraction."  March 28, 2013
•  "The Articulation of Mathematics: An Everyperson Pragmatic/Constructive Approach to The Philosophy of Mathematics" April 8, 2010
• "Visualizing Linearity: Alternatives to Line Graphs" (.ppt file), September 3, 2009
• "Models, Numbers, and Measure Theory: The Independence of The Continuum Hypothesis. In memory of my mentor, Jean van Heijenoort",(.ppt file) Sept. 2, 2004
• "The Door Swings Both Ways:: Making Calculus Sensible with Economics or Economics Sensible with Calculus", December 11, 2003 
• "Mathematics Beyond Good and Evil: Duality in Geometry, Algebra, and Calculus!" Thursday, November 21, 2002
• "What Is Topology and Why Is It Useful?"  Thursday, March 7, 2002
• " The Possible and the Impossible: Some examples of the use of models and their consequences" Dec. 6, 2001
• "The Continuum Hypothesis: A Look at the 20th Century History of the Real Numbers from Cantor to Cohen/Scott/Solovay" Sept. 14, 2000
• "Life on a Torus: Some of the Mathematics from the World of Pacman" Sept. 30, 1999
• "The History of Logarithms: A glimpse of some highlights." Feb. 4, 1999.
• "Mathematical Encounters with the Number 7." Sept. 10, 1998.
• "Solving Calculus Problems without Calculus." April 2, 1998
• "Dynamic Visualization of Calculus." September 18, 1997

• JavaSketches
• .... One variable controlling two.
• ....A dynamic transformation figure.

 

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