• ArizMATYC Conference (Phoenix, AZ), Friday October 5, 2018. [Links]
      "Making Sense of Integration Visually: Mapping Diagrams for Calculus"
      "Solving Polynomial Equations: Visualization from Linear to Cubic, from Rational to Complex Numbers".  
  HSU Math Department Colloquium,"How Many Ways Can You Solve a Quadratic Equation Visually? From the Greeks to 21st Century Technology." Sept. 13, 2018.[Links]
  British Congress of Mathematics Education 9, [Sessions A20, D20, E20, H20] April 3-6, 2018, University of Warwick. [Links]
      Informal Proceedings 13- Mapping Diagrams: Four Sessions, One Theme. Using Mapping Diagrams in Algebra, Calculus, and Complex Analysis 
  Sacramento Valley Community College Mathematics (SVCCM) Conference, American River College (Sacramento), "Solving Polynomials: Mapping Diagram Visualization", Saturday, March 3, 2018.[Links]
  Joint Mathematics Meetings San Diego, CA, Jan. 13, 2018:
      "Mapping Diagrams Visualizing Functions and Equation Solutions: From Algebra Basics to Real and Complex Analysis." AMS Special Session on Visualization in Mathematics:  Perspectives of Mathematicians and Mathematics Educators. [Links]
      "Making Sense of Complex Integration: Mapping Diagrams Created with GeoGebra to Visualize Definitions, Theory and Applications." MAA Session on Revitalizing Complex Analysis [Links]
• Borderland Math Teachers Circle, U of AZ, South Campus, "Mapping (Function) Diagrams to Visualize and Make Sense of Solving Linear and Quadratic Equations," November 14, 201 7 [Links] 
• AMATYC Conference, 2017, "Using Mapping Diagrams to Make Sense of Functions and Equations", November 11, 2017 [Links] 
• Arizona State University, Mathematics Education Colloquium, "Making Sense of Calculus with Mapping Diagrams:A Visual Alternative to Graphs", November 3, 2017
• University of Arizona. Center for Recruitment and Retention of Mathematics Teachers, Workshop,
  "Using Mapping Diagrams to Make Sense of Functions and Calculus," Part I, October 18, 2017. [Links I] Part II [Links II]
• HSU Math Department Colloquium, "Solving Polynomial Equations: Visualization from Linear to Cubic,from Rational to Complex Numbers", 9-24-2017
• 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)
• 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,
  
• "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),  ComputerBasedMath ™(YouTube Video) (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
• "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)

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