### Forty-Sixth Annual

State of Jefferson Mathematics Congress

October 6-8, 2017

Whiskeytown Lake, CA

PROGRAM

** 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
*x*_{i +1} = *f* (*x*_{i} ) and
*x*_{n} = *x*_{1} 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).

**Discussion Under the Oaks — Enhancing Teaching Introductory Statistics** led by
Kenneth Davis,
Joseph Reid,
and Terri Torres,
Oregon Institute of Technology.

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interesting articles for our students that use methods similar to those we teach; why many of the methods we teach are out of date; cover suggestions by professional mathematical and statistical societies regarding content which should be in an introductory statistics class; and how to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.

PARTICIPANTS | |
---|---|

NAME | AFFILIATION |

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 |

Amanda Coleman | CSUS |

Andres Anlas Salmon | CSUS |

Brandon Tich | CSUS |

Corey Shanbrom | CSUS |

Diego Vera | CSUS |

Ian Luttrell | CSUS |

James Guilas | CSUS |

Amanda George | HSU |

Amanda Hemingway | HSU |

Briana Ramirez | HSU |

Christina Herring | HSU |

Ditza Guerra | HSU |

Emma Collins | HSU |

Jeff Haag | HSU |

Ken Yanosko | HSU |

Kylie Reich | HSU |

Mark Cliffe | HSU |

Paul George | HSU |

Dibyajiyoti Deb | OIT |

Jim Fischer | OIT |

Joseph Reid | OIT |

Ken Davis | OIT |

Terri Torres | OIT |

Tiernan Fogarty | OIT |

Ariana | SOU |

Jeff Morgan | SOU |

Joe Collins | SOU |

Kemble Yates | SOU |

Larry Shrewsbury | SOU |

Mo Pfeifer | SOU |

Thomas Burns | SOU |

Adrianna Sigala | SSU |

Amanda Weddle | SSU |

Ben Ford | SSU |

Carol Keig | SSU |

Crystal Salas | SSU |

Elaine Newman | SSU |

Gary Cline | SSU |

Izabela Kanaane | SSU |

Jillian Kimzey | SSU |

Joseph C. McGuire | SSU |

Maddalena Heisler | SSU |

Martha Byrne | SSU |

Natalie Hobson | SSU |

Rick Luttmann | SSU |

Sam Brannen | SSU |

Sunil Tiwari | SSU |

Andrew Dynneson |