Consortium for Mathematics and its Applications

Full Member Resources

COMAP offers members access to numerous mathematics and modeling programs, products, and materials in a variety of collections and formats. Our online library has more than 1500 resources. This page lists resources with most recent first. Please use the Search box or the filter options in the Find Resources menu to assist in locating desired products. For additional assistance or if you have questions, please don't hesitate to contact us.

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Debating the Sorting of Debate Teams: Mathematical Modeling to the Rescue

Debate tournaments routinely involve between 40 and 400 teams and the goal, as in any tournament, is to determine the...

Could These Bones Be Amelia Earhart's?

In this pull-out, students create models for predicting human stature from bone lengths. The goal for the development...

UMAP Journal 40.2 & 40.3 Summer / Fall 2019 Edition - The 2019 ICM Contest Edition

Table of Contents Publisher's EditorialThe Doug Faires Lifetime Achievement Award for 2019 Publisher's Note Guest Edi...

Consortium 117, Fall/Winter 2019

Table of Contents: From the Editor's Desk: Making the World Great Again GAIMME Time: Using Modeling to Promote Inte...

UMAP Journal 40.4 Winter 2019 Edition - The 2019 MCM Contest Edition

Table of ContentsPublisher's EditorialICTMA19 Hong Kong-A ReportEditorial Note: Disclaimer MCM Modeling ForumResults ...

Using Modeling to Promote Interest in Mathematics

We are going to take a short break from our series on Using Modeling to Reinforce Non- Mathematical Skills to discuss...

Fractal Beginnings

Much of the geometry you learn in school can be used to describe man-made objects. We see all around us examp...

From Trees to Polyhedra

Polyhedra have fascinated mankind since ancient times. Mathematical work about polyhedra has been done in Egypt, Gree...

Modeling Movies Using Network Science, Part 1

This pull-out is the first part of a two part series. In Activity 1, students are introduced to some basic definition...

UMAP Journal 39.1 Spring 2018 Edition

Table of Contents Editorial Mathematics: Unreasonably Ineffective? ArticlesAn Integer Programming Approach to Crop Ro...

The Effect of Brexit on EU Voting Power

Abstract The Treaty of Lisbon, the latest treaty governing law-making in the European Union (EU), went fully into eff...

An Integer Programming Approach to Crop Rotation Planning at an Organic Farm

Abstract Crop rotation is an important component of organic farming because it can help to maintain healthy soil and ...

Some Limitations of Financial Models

Abstract This paper is motivated by the essays of N.N. Taleb [2001; 2007; 2008] on randomness in the real world. In p...

Randomness in Cryptography

Introduction This article is about randomness, in particular about random binary strings, and, even more particularly...

Consortium 114, Spring/Summer 2018

Table of Contents:From the Editor's Desk: Signs of the TimesMath Today: Mathematical Aspects of GerrymanderingGeomete...

Once in a Blue Moon

The context of this Pull-Out is the changing appearance of the moon from night to night as well as its effects on Ear...

Mathematical Aspects of Gerrymandering

As I write, the Supreme Court is hearing cases about gerrymandering, and at the center of the arguments are issues of...

Iterating Complex Linear Functions

When you iterate a function, you create a sequence. This sequence is called an orbit. Much has been written about ite...

The 'Middle' of a Graph: Partitions, Eccentricities and Degress of Vertices in a Graph

Diagrams consisting of dots and lines (see Figure 1) called graphs are a very powerful visual tool for helping unders...

UMAP Journal 39.2 Summer 2018 Edition - The 2018 ICM Contest Edition

Table of ContentsPublisher's EditorialThe Doug Faires Award for 2018 Modeling ForumResults of the 2018 Interdisciplin...

Consortium 115, Fall/Winter 2018

Table of Contents: From the Editor's Desk: IM2C - Why Do We Do This? GAIMME Time: Using Modeling to Reinforce Non-Ma...

UMAP Journal 39.3 Fall 2018 Edition - The 2018 MCM Contest Edition

Table of Contents Publisher's EditorialWhat Good Are Contests? Editor's Note MCM Modeling ForumResults of the 2018 Ma...

Classification Using CART Models

Classification and Regression Trees (CART) are often used in data mining with the goal of creating a model that predi...

Tetrahedra

Tetrahedra, the analogue of triangles in the plane for three-dimensional Euclidean space, are surprisingly unstudied ...

Playing With Symmetry

This edition's Geometer's Corner is part 1 of a two-part series on symmetry and how it is used in chemistry. I write ...

Using Modeling to Reinforce Non-Mathematical Skills Part 1 - Communication

We know, we know... This is a journal aboutteaching mathematics.However, we should rememberthat even in our roles asm...

UMAP Journal 39.4 Winter 2018 Edition

Table of Contents Publisher's EditorialAI-Should We Be Worried? ArticlesA Method for Ranking Teams Based on Simple Pa...

The Discrete Cosine Transform (UMAP)

TARGET AUDIENCE: Students in introductory linear algebra, particularly students in engineering and communication theo...

Oracles and Signatures

Introduction Digital signatures are all around us (though barely noticeable by the average person), especially in ele...

GAIMME Time: Introducing : Transforming Textbook Word Problems

After years of teaching from textbooks, we recognize that it can be hard to imagine yourself generating a genuine ope...

Trees Built for Biologists

Where would physics and engineering be without mathematics? We are familiar with how mathematics interacts, including...

The Math Inquiry Workshop as a Preparation for the HiMCM

Introduction Luther College received a generous grant from the Howard Hughes Medical Institute (HHMI) to support a co...

I Think Knot : Modeling with Knots and Links

Activity 1 provides an introduction to mathematical knots. Students learn about trefoil, figure-eight, and pentafoil ...

Folding Clusters of Equilateral Triangles

Why a Column Encouraging Student Research? There are many reasons mathematics is taught so extensively in grades K-12...

2-Dimentional Models of 4-Dimentional Figures

In my last column, I focused on using GeoGebra to construct models of tetrahedra that can then be used to explore the...

Original Sources and The Lessons of History

Series Introduction Stories and Sources in the History of Mathematics I am very pleased to be given the opportunity t...

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COMAP develops curriculum resources, professional development programs, and contest opportunities that are multidisciplinary, academically rigorous, and fun for educators and students. COMAP's educational philosophy is centered around mathematical modeling: using mathematical tools to explore real-world problems.


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