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 Modelin...
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 sp...
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" w...
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. ...
Proximity: Modeling Rainfall
The context for this Modeling Pull‑Out is estimating the amount of rainfall in a certain region based on rain gauges ...
Consortium 126, Spring/Summer 2024
Table of Contents:
Guest Editorial: Thanks Gary!
Geometer’s Corner: A Geometrical Sculpture Inspires
Modeling Pul...
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...
Making Graph Theory Relevant
Abstract
We describe how we used contextual teaching and learning principles to build a graph theory project for ma...
Teaching Mathematical Modeling In a Sustainability Context
Abstract
Within the tertiary education framework, we developed a pilot course focused on mathematical modeling, pla...
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 tourna...
UMAP Journal 45.2 Summer 2024 Edition
Table of Contents Guest Editorial Creativity and Community Service
Model Reality Check The FA Cup Soccer Tournamen...
HiMCM Problem: Drone Clusters as Sky Light Displays
Table of Contents
Problem Statement
2017 Contest Results
Judges Commentary
Sample Solution
HiMCM Problem: Drone ...
Fair Allocation
Introduction
The general public, students in public school mathematics classes, future teachers, and even mathematic...
Modeling CO2 Concentration
Introduction
One consequence of the COVID-19 pandemic was an increase in interest in the ventilation of buildings. ...
Dalton’s Law of Evaporation
Model Reality Check We present a differential equation that models the process of evaporation from a free-water surf...
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 burgdorf...
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 transformation...
UMAP Journal 45.1 Spring 2024 Edition
Table of Contents Publisher’s Editorial Imagining Chapter II Editorial Welcome to New Associate Editors Articles M...
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-s...
Mathematical Modeling Handbook
The Mathematical Modeling Handbook is intended to support the implementation of the Common Core State Standards high ...
Mathematical Modeling Handbook II: The Assessments
Mathematical Handbook II: The Assessments - What does it mean to be able to mathematically model successfully? Modeli...
Mathematical Modeling Handbook III: Lesson Paradigms
The authors of Handbook III approached the planning of mathematical modeling lessons with a broader brush than is cus...
ResourceMAP - Volume - Student Edition (Spanish)
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regul...
ResourceMAP - Number Patterns - Student Edition (Spanish)
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regul...
ResourceMAP - Basic Probability - Student Edition (Spanish)
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regul...
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 ex...
TechMAP - Bracing Grids - Teacher Edition
This module's central question is: How do carpenters and other builders create structures that won't fall down? It ex...
TechMAP - Plan the Work, Then Work the Plan - Student Edition
This module is about project planning in the context of carpentry/construction. Topics include bin packing (stock cut...
TechMAP - Plan the Work, Then Work the Plan - Teacher Edition
This module is about project planning in the context of carpentry/construction. Topics include bin packing (stock cut...
TechMAP - On the Botpath - Student Edition
The primary contextual setting of this module is robot paths (botpaths). Through the modeling criterion of maximizing...
TechMAP - On the Botpath - Teacher Edition
The primary contextual setting of this module is robot paths (botpaths). Through the modeling criterion of maximizing...
TechMAP - Where Shall I Sell My Wheat? - Student Edition
This module asks which grain elevator a farmer should choose given transportation costs and the price paid for wheat ...
TechMAP - Where Shall I Sell My Wheat? - Teacher Edition
This module asks which grain elevator a farmer should choose given transportation costs and the price paid for wheat ...
TechMAP - GPS - Student Edition
This module is a basic introduction to the global positioning system. Mathematics includes basic distance relationshi...
TechMAP - GPS - Teacher Edition
This module is a basic introduction to the global positioning system. Mathematics includes basic distance relationshi...
TechMAP - Sound - Student Edition
This module examines the intensity of sound transmitted through materials such as a glass window. The primary mathema...