State of Jefferson Mathematics Congress
October 6-8, 2017
Whiskeytown Lake, CA
Dynamic Graphs, Continuous Functions, and Fixed Cycles by Martha Byrne, Sonoma State University.
We look at how a different way to graph functions gives insight into function behavior and helps identify periodic points – where xi +1 = f (xi ) and xn = x1 for some n. This discussion of periodic points leads us to a surprising result about the existence of periodic points for continuous functions and their periods.
Conway's Rational Tangles by Corey Shanbrom, Sacramento State University.
As an undergraduate student, John Conway developed the concept of a tangle as the basic building block for knots, and he gave a correspondence between certain tangles and the rational numbers. In this interactive demonstration, we use two ropes and four students to create these tangles and explore their properties. Participants are asked to determine the arithmetic meaning of certain physical operations, and to find an algorithm for untangling an arbitrary tangle. Time permitting, we discuss the relationship with more advanced mathematical objects, such as the modular group PSL(2, Z).
Introductory Statistics can be a challenging but enjoyable class to teach. Ensuring students have a strong understanding of the material from a statistical point of view is difficult. Our discussion covers issues such as: should we require students to perform lengthy calculations by hand; using computer simulations to demonstrate and teach various distributions and statistical methods; keeping departments happy who may not know statistics or expect us to teach too much; invite the development of a database of interesting articles for our students that use methods similar to those we teach; why many of the methods we teach are out of date; cover suggestions by professional mathematical and statistical societies regarding content which should be in an introductory statistics class; and how to make introductory statistics classes more fun to teach and earn higher student evaluations.
|Kyle Falbo||Col. of the Redwoods|
|Francisco Martínez||CSU Chico|
|Karina Zamacona||CSU Chico|
|LaDawn Haws||CSU Chico|
|Nikita Barneta||CSU Chico|
|Steve Samons||CSU Chico|
|Thomas Mattman||CSU Chico|
|Andres Anlas Salmon||CSUS|
|Joseph C. McGuire||SSU|