Iterating Complex Linear Functions
When you iterate a function, you create a sequence. This sequence is called an orbit. Much has been written about ite...
The 'Middle' of a Graph: Partitions, Eccentricities and Degress of Vertices in a Graph
Diagrams consisting of dots and lines (see Figure 1) called graphs are a very powerful visual tool for helping unders...
UMAP Journal 39.2 Summer 2018 Edition - The 2018 ICM Contest Edition
Table of Contents Publisher's Editorial The Doug Faires Award for 2018 Modeling Forum Results of the 2018 Interdisc...
Consortium 115, Fall/Winter 2018
Table of Contents: From the Editor's Desk: IM2C - Why Do We Do This? GAIMME Time: Using Modeling to Reinforce Non-...
UMAP Journal 39.3 Fall 2018 Edition - The 2018 MCM Contest Edition
Table of Contents Publisher's Editorial What Good Are Contests? Editor's Note MCM Modeling Forum Results of the 20...
Classification Using CART Models
Classification and Regression Trees (CART) are often used in data mining with the goal of creating a model that predi...
Tetrahedra
Tetrahedra, the analogue of triangles in the plane for three-dimensional Euclidean space, are surprisingly unstudied ...
Playing With Symmetry
This edition's Geometer's Corner is part 1 of a two-part series on symmetry and how it is used in chemistry. I write ...
Using Modeling to Reinforce Non-Mathematical Skills Part 1 - Communication
We know, we know... This is a journal aboutteaching mathematics.However, we should rememberthat even in our roles asm...
UMAP Journal 39.4 Winter 2018 Edition
Table of Contents Publisher's Editorial AI-Should We Be Worried? Articles A Method for Ranking Teams Based on Simpl...
The Discrete Cosine Transform (UMAP)
TARGET AUDIENCE: Students in introductory linear algebra, particularly students in engineering and communication theo...
Oracles and Signatures
Introduction Digital signatures are all around us (though barely noticeable by the average person), especially in el...
GAIMME Time: Introducing : Transforming Textbook Word Problems
After years of teaching from textbooks, we recognize that it can be hard to imagine yourself generating a genuine ope...
Trees Built for Biologists
Where would physics and engineering be without mathematics? We are familiar with how mathematics interacts, including...
The Math Inquiry Workshop as a Preparation for the HiMCM
Introduction Luther College received a generous grant from the Howard Hughes Medical Institute (HHMI) to support a c...
I Think Knot : Modeling with Knots and Links
Activity 1 provides an introduction to mathematical knots. Students learn about trefoil, figure-eight, and pentafoil ...
Folding Clusters of Equilateral Triangles
Why a Column Encouraging Student Research? There are many reasons mathematics is taught so extensively in grades K-1...
2-Dimentional Models of 4-Dimentional Figures
In my last column, I focused on using GeoGebra to construct models of tetrahedra that can then be used to explore the...
Original Sources and The Lessons of History
Series Introduction Stories and Sources in the History of Mathematics I am very pleased to be given the opportunity...
UMAP Journal 38.2 Summer 2017 Edition - The 2017 ICM Contest Edition
Table of Contents Guest Editorial Learning and Teaching Interdisciplinary Modeling ICM Modeling Forum Results of th...
UMAP Journal 38.3 Fall 2017 Edition - The 2017 MCM Contest Edition
Table of Contents Publisher's Editorial The Doug Faires Awards for 2017 MCM Modeling Forum Results of the 2017 Math...
Consortium 113, Fall/Winter 2017
Table of Contents: From the Publisher's Desk: Needed Math GAIMME Time: Assessing Student Modeling work History of...
GAIMME Time: Assessing Student Modeling Work
Think back to when you first realized that you enjoyed mathematicsĶ For many of us, that enjoyment came from the pur...
Deal or No Deal? Expected Value, Utility Theory, and the Role of the Banker
This Pull-Out consists of three activities. The context for Activity 1 is a school's fundraising carnival. Students c...
Drawings of Number Sequences
This research problem involves translating between geometric drawings and sequences of numbers associated with these ...
Psychology, Applications to Decision Making
What subjects are sciences? A list often begins with chemistry and physics and a subject that is sometimes taken as p...
A General Education Course From Primary Historical Sources
Introduction General education courses at colleges and universities in the United States have been a requirement for...
A Mathematical Investigation Motivated By a Question About Baseball
Anatural setting for the mathematical exploration that follows is baseball, but this does not imply that we are creat...
UMAP Journal 38.4 Winter 2017 Edition
Table of Contents Editorial Calculus Is Irrelevant Articles Aircraft Longitudinal Oscillations You Win Some and Yo...
Disaster Relief Modeling (ILAP)
Contents 1. Setting the Scene 2. Discrete Dynamical System Model of Effective Response 3. The PEARL Index and Equitab...
You Win Some and You Lose Some: Scoring a Two-Team Cross-Country Race
Introduction and Warmup On a cool autumn day in October, 1980, a marginally-talented high school freshman got his fi...
Aircraft Longitudinal Oscillations
The Fundamentals of Flight Four fundamental forces affect the flight of an aircraft: • lift, • weight, • thrust, and...
Angle Bisectors : An Algebraic Approach
This article will use this form and some of the vector algebra that is taught in an upper level pre-calculus course t...
UMAP Journal 37.2 Summer 2016 Edition - The 2016 ICM Contest Edition
Table of Contents Guest Editorial Cyber Modeling: Full of Challenges ICM Modeling Forum Results of the 2016 Interdi...
UMAP Journal 37.3 Fall 2016 Edition - The 2016 MCM Contest Edition
Table of Contents Publisher's Editorial Announcing the Doug Faires Award MCM Modeling Forum Results of the 2016 Mat...
Consortium 111, Fall/Winter 2016
Table of Contents: From the Publisher's Desk: GAIMME Geometer's Corner: Exploring Tetrahedra Part 1 Math Today: V...