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…
Reducing Illegal Wildlife Trade
Background:
Illegal wildlife trade negatively impacts our environment and threatens global biodiversity. It is estim…
Searching for Submersibles
Background:
Maritime Cruises Mini-Submarines (MCMS), a company based in Greece, builds submersibles capable of carry…
Momentum in Tennis
Background:
In the 2023 Wimbledon Gentlemen’s final, 20-year-old Spanish rising star Carlos Alcaraz defeated 36-year…
Great Lakes Water Problem
Background:
The Great Lakes of the United States and Canada are the largest group of freshwater lakes in the world…
Sustainability of Property Insurance
Background:
Extreme-weather events are becoming a crisis for property owners and insurers. The world has endured “mo…
Resource Availability and Sex Ratios
Background:
While some animal species exist outside of the usual male or female sexes, most species are substantiall…
Picking the Perfect Pet
Background
Throughout history, humans and animals have coexisted, relying on each other for aid and comfort. From o…
The Modeling Musical Tour
Background
Taylor Swift will be wrapping up her record-breaking Eras Tour in December. In total, the tour schedule…
Examining the Environmental Impact of High-Powered Computing
Background
As global demand for high-powered computing (HPC) continues to rise in sectors like artificial intellige…
To Play or not to Play: Modeling Future Olympic Games
Background
The International Olympic Committee (IOC) is planning the 2032 Summer Olympics in Brisbane, Australia. A…
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…
ResourceMAP - Basic Probability - Student Edition (Spanish)
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…
TechMAP - Bracing Grids - Student Edition
This module's central question is: How do carpenters and other builders create structures that won't fall down? It exam…