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…
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 exam…
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 cutti…
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 cutti…
TechMAP - On the Botpath - Student Edition
The primary contextual setting of this module is robot paths (botpaths). Through the modeling criterion of maximizing d…
TechMAP - On the Botpath - Teacher Edition
The primary contextual setting of this module is robot paths (botpaths). Through the modeling criterion of maximizing d…
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 at…
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 at…
TechMAP - GPS - Student Edition
This module is a basic introduction to the global positioning system. Mathematics includes basic distance relationships…
TechMAP - GPS - Teacher Edition
This module is a basic introduction to the global positioning system. Mathematics includes basic distance relationships…
TechMAP - Sound - Student Edition
This module examines the intensity of sound transmitted through materials such as a glass window. The primary mathemati…
TechMAP - Sound - Teacher Edition
This module examines the intensity of sound transmitted through materials such as a glass window. The primary mathemati…
TechMAP - The Right Package - Student Edition
This module is a basic introduction to packaging, which is the third largest industry in the United States. Mathematics…
TechMAP - The Right Package - Teacher Edition
This module is a basic introduction to packaging, which is the third largest industry in the United States. Mathematics…
TechMAP - Tim and Tom's Financial Adventure - Student Edition
This module considers basic personal and small-business financial questions involving compound interest. The primary ma…
TechMAP - Tim and Tom's Financial Adventure - Teacher Edition
This module considers basic personal and small-business financial questions involving compound interest. The primary ma…
TechMAP - Circle Relationships in Carpentry - Student Edition
Several carpentry problems related to circles are examined in this module, including determining the size of a circular…