Guiding Students to Discover Counting Formulas - With a Modeling Twist
Introduction
In undergraduate mathematics classes, counting is often taught by presenting formulas for students to mem…
Discovering Bifurcation
Introduction
The world is facing a wide range of ecological challenges, including species extinction and the climate c…
Barging Ahead: Optimizing A Trip Upriver
Introduction
Barges are an integral component of the freight transportation system. The capacity of a barge is 60 time…
Minimodule PCBs in Your Body
Introduction
Polychlorinated biphenyls (PCBs) are human-made organic chemicals. Exposure to PCBs can have adverse heal…
Folding Polyominoesto Boxes
The collection of squares
shown in Figure 1(a) can
be cut out and folded on
the line segments in the interior
o…
UMAP Journal 41.4 Winter 2020 Edition - The 2020 MCM Contest Edition
Table of Contents Publisher's Editorial Ron Graham at Bell Labs: Stories related by Henry Pollak Editor's Note: Discl…
When Should Your Parents Take Social Security?
Introduction The U.S. Social Security Administration offers and administers retirement income to workers who have paid…
Mathematical Modeling of Patch Transdermal Drug Delivery Systems
Abstract We detail two different mathematical solution techniques for a system of first-order differential equations u…
How Data Detectives Came About
Data Detectives Many creative ideas and re-imaginings of business-as-usual have sprung from COVID-19, which began to…
Data Detectives: Homicides in Chicago
Introduction Woodlawn, Chicago In Fall 2019, my wife and I undertook a residency to learn the stark realities of life…
Writing About (COVID) Models: What Every Modeler Should Know
[EDITOR'S NOTE: This article was originally directed to journalists and titled "Epidemiological Models: 10 Things Journ…
Teaching Modeling: Tell Us How!
By the time students begin their post-secondary education, most have been preconditioned to expect a structured environ…
Magic: The Gathering, Integer Linear Programming and Arbitrage
Context and Motivation Magic: The Gathering® is a collectible card game created in 1993, and iswidely regarded as the…
Why Monday Never Wins: An Instance of the Secretary Problem
Abstract We analyze statistics of the German TV show "Das Perfekte Dinner" (The Perfect Dinner), a cooking competition…
Alice in E-Voterland
Introduction Early in February 2019, the Swiss postal authority announced a challenge: for four weeks, starting later…
Data Detectives: Support for Distance Learning at an Urban Charter School
Introduction My Fall 2020 sophomore-level Python Data Modeling Class had three main goals, all related to service-lear…
What is Math Modeling? It's a Noun! It's a Verb! It's a Mindset???
In order to teach modeling well, we need to understand what it is. The GAIMME Report stresses that modeling is a proces…
Snub Polyhedra
The last Geometer's Corner showed how the cube can be transformed into several Archimedian Solids, which are shown in F…
Spanning Trees of n-Dimensional Cubes
Dots and lines diagrams known as graphs are a powerful tool for problem solving across many academic disciplines. Graph…
Modeling Botpaths with Linear Functions
The context for this Modeling Pull-Out involves determining paths for robots (botpaths) so that they avoid colliding wi…
The MAA's Instructional Practices Guide and The GAIMME Report
In 2017 as part of a concerted effort to improve issues of access and equity in mathematics education, the Mathematical…
Alicia Boole Stott, The Duchess of Arcamedia
This Geometer's Corner stems from work I am doing on a book that focuses on how to use GeoGebra to construct the Platon…
Two-Edge-Length Polyhedra
Which 3-dimensional convex polyhedra, all of whose faces are triangles, can be made with isosceles triangle faces? In a…
Modeling Pooled-Sample Testing, Part I
The context for this Modeling Pull-Out involves pooled-sample testing for diseases or drug usage in order to reduce cos…
A Groundwater Contaminant Extraction Model Using Complex Potentials (ILAP)
Contents 1. Setting the Scene 2. Complex Analysis Background 3. Idealized Groundwater Flow 4. Contaminant Extraction Mo…
Minimodule and Model Reality Check Sustaining Fisheries
Introduction Consider a stock of fish. If there is no harvest, the stock will tend to renew itself with births and dea…
The Dogbone is the Unique Auto-Reversing Track Configuration
Introduction Motivated by one author's grandsons play with Fisher-Price® Thomas & FriendsTM TrackmasterTM, a batte…
How Much Food Could Our School Grow? An Example Modeling Problem.
For the past few years, in GAIMME Time, we have discussed the benefits of teaching mathematical modeling as well as som…
Polygonal Numbers and The Algebra of Sequences
This edition of Geometer's Corner develops one of my all-time favorite topics to teach. What follows can be incorporate…
How Many Ties? The Maximum Possible Debate Bracket Problem
In the course of modeling and studying the fairness of debate tournaments, an interesting problem arose that is also re…
Graphs from Rectangles
At its core mathematics is concerned with the study of patterns of different kinds. What is perhaps surprising is that…
Modeling Pooled-Sample Testing, Part II
The context for this Modeling Pull-Out involves modeling pooled- sample testing for diseases or drug usage in order to…
Data Detectives: ShotSpotter in Chicago
Introduction ShotSpotter is a technology to detect, locate, and report gunshots to police. Its deployment in Chicago h…
UMAP Journal 41.1 Spring 2020 Edition
Table of Contents Guest Editorial Advanced Mathematical Modeling Articles Mr. Markov Plays Goose Solitaire The Varia…
Math for Drummers (UMAP)
This Module presents musical and mathematical topics in a general education mathematics course entitled Sounding Number…
Change-Point Models: What Are They and Why Do We Need Them?
Introduction So what is a "change point"? Formally, a change point is a point at which the statistical properties of a…