From Trees to Polyhedra
Polyhedra have fascinated mankind since ancient times. Mathematical work about polyhedra has been done in Egypt, Greece…
Modeling Movies Using Network Science, Part 1
This pull-out is the first part of a two part series. In Activity 1, students are introduced to some basic definitions…
UMAP Journal 39.1 Spring 2018 Edition
Table of Contents Editorial Mathematics: Unreasonably Ineffective? Articles An Integer Programming Approach to Crop R…
The Effect of Brexit on EU Voting Power
Abstract The Treaty of Lisbon, the latest treaty governing law-making in the European Union (EU), went fully into effe…
An Integer Programming Approach to Crop Rotation Planning at an Organic Farm
Abstract Crop rotation is an important component of organic farming because it can help to maintain healthy soil and p…
Some Limitations of Financial Models
Abstract This paper is motivated by the essays of N.N. Taleb [2001; 2007; 2008] on randomness in the real world. In pa…
Randomness in Cryptography
Introduction This article is about randomness, in particular about random binary strings, and, even more particularly…
Consortium 114, Spring/Summer 2018
Table of Contents: From the Editor's Desk: Signs of the Times Math Today: Mathematical Aspects of Gerrymandering Geo…
Once in a Blue Moon
The context of this Pull-Out is the changing appearance of the moon from night to night as well as its effects on Earth…
Mathematical Aspects of Gerrymandering
As I write, the Supreme Court is hearing cases about gerrymandering, and at the center of the arguments are issues of f…
Iterating Complex Linear Functions
When you iterate a function, you create a sequence. This sequence is called an orbit. Much has been written about itera…
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 understa…
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 Interdiscip…
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-Ma…
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 2018…
Classification Using CART Models
Classification and Regression Trees (CART) are often used in data mining with the goal of creating a model that predict…
Tetrahedra
Tetrahedra, the analogue of triangles in the plane for three-dimensional Euclidean space, are surprisingly unstudied co…
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 th…
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 asmat…
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 Simple…
The Discrete Cosine Transform (UMAP)
TARGET AUDIENCE: Students in introductory linear algebra, particularly students in engineering and communication theory…
Oracles and Signatures
Introduction Digital signatures are all around us (though barely noticeable by the average person), especially in elec…
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 open-…
Trees Built for Biologists
Where would physics and engineering be without mathematics? We are familiar with how mathematics interacts, including v…
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 com…
I Think Knot : Modeling with Knots and Links
Activity 1 provides an introduction to mathematical knots. Students learn about trefoil, figure-eight, and pentafoil kn…
Folding Clusters of Equilateral Triangles
Why a Column Encouraging Student Research? There are many reasons mathematics is taught so extensively in grades K-12…
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 their…
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 t…
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 the…
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 Mathem…
Consortium 113, Fall/Winter 2017
Table of Contents: From the Publisher's Desk: Needed Math GAIMME Time: Assessing Student Modeling work History of M…
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 pursu…
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 cal…
Drawings of Number Sequences
This research problem involves translating between geometric drawings and sequences of numbers associated with these dr…
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 par…