Outline
UNSW: MAPPING DIAGRAMS: FUNCTION VISUALIZATION
A Second Look at the Presentation from ICME
T & L Seminar - University of New South Wales, Sydney
MAPPING DIAGRAMS: FUNCTION VISUALIZATION OF REAL AND COMPLEX ANALYSIS AND MATRIX ALGEBRA
Martin Flashman
Cal Poly Humboldt (Formerly Humboldt State University)
Arcata, CA USA
Questions? Comments?
email: flashman@humboldt.edu
GeoGebra Book: https://flashman.tiny.us/UNSW
YouTube Video: https://www.youtube.com/watch?v=Mx6cczr9okU
Mapping diagrams can provide a coherent framework for developing a sensible visual approach for learning and teaching function concepts starting from basic arithmetic through the key ideas of algebra and culminating with calculus, complex analysis, and linear algebra. The author will present many recently created figures for linear functions in a variety of contexts demonstrating how mapping diagrams enhance their study by providing visualizations for many fundamental concepts. Dynamic figures created with GeoGebra are included.
Table of Contents
Introduction
Some Historical Uses of Mapping Diagrams
MAPPING DIAGRAMS FOR REAL LINEAR FUNCTIONS
COMPLEX LINEAR FUNCTIONS
MATRIX LINEAR OPERATORS R^2
References
CONCLUSION
ICME Paper
MORE: What is a (real) mapping diagram (MD)?
MORE: Visualizing Functions
- Mapping Diagram (Real) from Function Table Activity
- Mapping Diagram Composition Adjust Arrows
- example.TGG.0
- example.DTA.0
- example.DTS.0
- example.DTCOM.0
- Mapping Diagram, Spreadsheet, Graph, Realign, Focus
- Visualizing Numeric Transformations
- Guess My Rule with MD
- Mapping Diagram, Spreadsheet, Graph, Realign, Focus
MORE: MD to visualize solving linear and nonlinear equations.
MORE: Linear Complex Functions
MORE: Solving Linear (Matrix) Equations