The Septaria Numbers
Septaria In Septaria, there are only seven numbers, six of which are classified as digits. The numbers 1, 2, and 3 cor…
The First-Year Seminar Assignment Problem: A Multi-Objective Optimization Approach
Introduction Introduction Many colleges and universities have a first-year seminar program, serving as a crucial bridg…
Gerrymandering: The Efficiency Gap
Abstract
As gerrymandering has become a powerful tool to create and maintain power in an increasingly polarized U.S. p…
Modeling Newtonian Cooling
Abstract We present a case study in which differential equations are applied to a real-world problem: protecting water…
The Mathematical Modeling Mindset
More Than a Process Two days after stepping into my role as Executive Director of COMAP, I found myself in a classroom…
UMAP Journal 46.1 Spring 2025 Edition
Table of Contents
Publisher’s Editorial The Mathematical Modeling Mindset
Editorial Losses and Gains
Articles The…
Modeling Airline Scheduling (Modeling Module)
The context for this Modeling Module is airline scheduling. It begins with a preliminary reading, Networks, which provi…
Can’t Occur as a Knot Projection: 4-Valent Multi-3-gon 3-Polytopes
When one is trying to understand a “mathematical landscape” it is often helpful to construct lots of examples and colle…
A Centroidal Medley
One of my favorite geometric results is the one that states: The centroid of a triangle is two thirds of the distance f…
Modeling Airline Scheduling
The context for this Modeling Pull‑Out is airline scheduling. It begins with a preliminary reading, Networks, which pro…
Consortium 127, Fall/Winter 2024
Table of Contents:
Editorial: Dear Reader
Student Research Corner: Can’t Occur as a Knot Projection: 4-Valent Multi-…
UMAP Journal 45.4 Winter 2024 Edition
Table of Contents
Editorial New Contest Opportunities
Guest Editorial A Match Made in Math
MCM Modeling Forum
Resu…
UMAP Journal 45.3 Fall 2024 Edition
Table of Contents
Guest Editorial Welcome: COMAP’s New Director
Editor’s Note: SCUDEM IX 2024 Contest
ICM Modeling…
Proximity: Modeling Rainfall (Modeling Module)
The context for this Modeling Module is estimating the amount of rainfall in a certain region based on rain gauges spre…
Quadrilaterals Via a Paper Folding Approach
Every day when the mail arrives, I typically get an array of items which consist of a single rectangular "postcard" whi…
A Geometrical Sculpture Inspires a Geometrical Construction
While doing my Holiday shopping at the Derby Street Mall. I came across the polyhedral sculpture shown in Figure 1a. Ex…
Proximity: Modeling Rainfall
The context for this Modeling Pull‑Out is estimating the amount of rainfall in a certain region based on rain gauges sp…
Consortium 126, Spring/Summer 2024
Table of Contents:
Guest Editorial: Thanks Gary!
Geometer’s Corner: A Geometrical Sculpture Inspires
Modeling Pull‑…
Same-Score Streaks in Basketball and in Other Sports
Target Audience
Students with a background in probability and statistics.
Abstract
We present a real-world problem o…
Making Graph Theory Relevant
Abstract
We describe how we used contextual teaching and learning principles to build a graph theory project for math…
Teaching Mathematical Modeling In a Sustainability Context
Abstract
Within the tertiary education framework, we developed a pilot course focused on mathematical modeling, placi…
The FA Cup Soccer Tournament: Probabilities vs. Predictions
Introduction The Football Association Challenge Cup, more commonly known as the FA Cup, is an annual knockout tourname…
UMAP Journal 45.2 Summer 2024 Edition
Table of Contents Guest Editorial Creativity and Community Service
Model Reality Check The FA Cup Soccer Tournament…
HiMCM Problem: Drone Clusters as Sky Light Displays
Table of Contents
Problem Statement
2017 Contest Results
Judges Commentary
Sample Solution
HiMCM Problem: Drone Cl…
Fair Allocation
Introduction
The general public, students in public school mathematics classes, future teachers, and even mathematics…
Modeling CO2 Concentration
Introduction
One consequence of the COVID-19 pandemic was an increase in interest in the ventilation of buildings. On…
Dalton’s Law of Evaporation
Model Reality Check We present a differential equation that models the process of evaporation from a free-water surfac…
Mathematical Models of Lyme Disease: An Overview
Lyme disease is the most common vector-borne disease in the United States. It is caused by bacteria Borrelia burgdorfer…
Composing in Bach’s Style Using Mathematical Transformations
We propose a new method for music composition in the style of Johann Sebastian Bach, using geometrical transformations…
UMAP Journal 45.1 Spring 2024 Edition
Table of Contents Publisher’s Editorial Imagining Chapter II Editorial Welcome to New Associate Editors Articles Mat…
Fair Game: How to Play Impartial Combinatorial Games
Fair Game suggests successful strategies to play and win impartial combinatorial games. Beginning with a simple nim-sum…
Mathematical Modeling Handbook
The Mathematical Modeling Handbook is intended to support the implementation of the Common Core State Standards high sc…
Mathematical Modeling Handbook II: The Assessments
Mathematical Handbook II: The Assessments - What does it mean to be able to mathematically model successfully? Modeling…
Mathematical Modeling Handbook III: Lesson Paradigms
The authors of Handbook III approached the planning of mathematical modeling lessons with a broader brush than is custo…
ResourceMAP - Volume - Student Edition (Spanish)
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…
ResourceMAP - Number Patterns - Student Edition (Spanish)
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…