Oracles and Signatures
Introduction Digital signatures are all around us (though barely noticeable by the average person), especially in elec…
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 open-…
Trees Built for Biologists
Where would physics and engineering be without mathematics? We are familiar with how mathematics interacts, including v…
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 com…
I Think Knot : Modeling with Knots and Links
Activity 1 provides an introduction to mathematical knots. Students learn about trefoil, figure-eight, and pentafoil kn…
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 their…
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…
UMAP Journal 38.2 Summer 2017 Edition - The 2017 ICM Contest Edition
Table of Contents Guest Editorial Learning and Teaching Interdisciplinary Modeling ICM Modeling Forum Results of the…
UMAP Journal 38.3 Fall 2017 Edition - The 2017 MCM Contest Edition
Table of Contents Publisher's Editorial The Doug Faires Awards for 2017 MCM Modeling Forum Results of the 2017 Mathem…
Consortium 113, Fall/Winter 2017
Table of Contents: From the Publisher's Desk: Needed Math GAIMME Time: Assessing Student Modeling work History of M…
GAIMME Time: Assessing Student Modeling Work
Think back to when you first realized that you enjoyed mathematicsĶ For many of us, that enjoyment came from the pursu…
Deal or No Deal? Expected Value, Utility Theory, and the Role of the Banker
This Pull-Out consists of three activities. The context for Activity 1 is a school's fundraising carnival. Students cal…
Drawings of Number Sequences
This research problem involves translating between geometric drawings and sequences of numbers associated with these dr…
Psychology, Applications to Decision Making
What subjects are sciences? A list often begins with chemistry and physics and a subject that is sometimes taken as par…
A General Education Course From Primary Historical Sources
Introduction General education courses at colleges and universities in the United States have been a requirement for s…
A Mathematical Investigation Motivated By a Question About Baseball
Anatural setting for the mathematical exploration that follows is baseball, but this does not imply that we are creatin…
UMAP Journal 38.4 Winter 2017 Edition
Table of Contents Editorial Calculus Is Irrelevant Articles Aircraft Longitudinal Oscillations You Win Some and You…
Disaster Relief Modeling (ILAP)
Contents 1. Setting the Scene 2. Discrete Dynamical System Model of Effective Response 3. The PEARL Index and Equitable…
You Win Some and You Lose Some: Scoring a Two-Team Cross-Country Race
Introduction and Warmup On a cool autumn day in October, 1980, a marginally-talented high school freshman got his firs…
Aircraft Longitudinal Oscillations
The Fundamentals of Flight Four fundamental forces affect the flight of an aircraft: • lift, • weight, • thrust, and •…
Angle Bisectors : An Algebraic Approach
This article will use this form and some of the vector algebra that is taught in an upper level pre-calculus course to…
UMAP Journal 37.2 Summer 2016 Edition - The 2016 ICM Contest Edition
Table of Contents Guest Editorial Cyber Modeling: Full of Challenges ICM Modeling Forum Results of the 2016 Interdisc…
UMAP Journal 37.3 Fall 2016 Edition - The 2016 MCM Contest Edition
Table of Contents Publisher's Editorial Announcing the Doug Faires Award MCM Modeling Forum Results of the 2016 Mathe…
Consortium 111, Fall/Winter 2016
Table of Contents: From the Publisher's Desk: GAIMME Geometer's Corner: Exploring Tetrahedra Part 1 Math Today: Vis…
Modeling with Fractals
Mathematics prerequisites and discussion: Students should be familiar with basic concepts from geometry such as regular…
Visual Patterns Everywhere
Mathematics is sometimes defined as the science of studying patterns. Symmetrical repeating patterns are all around us…
Exploring Tetrahedra Part 1
This edition's Geometers Corner has two objectives. First, it will develop a set of exercises that make use of many of…
Introducing: GAIMME Time
Welcome to GAIMME Time! Earlier this year, COMAP and SIAM jointly released the GAIMME Report: Guidelines for Assessme…
I Mathematician II Further Introspections on the Mathematical Life
Twenty-one of the world's most distinguished mathematicians and educators write about their personal experiences with m…
UMAP Journal 37.4 Winter 2016 Edition
Table of Contents Editorial Coding for All? Articles The Utility of Recreational Mathematics Modeling-First Approach…
The Utility of Recreational Mathematics
Prelude and Vademecum This article is an amplification with illustrations of a write-up of my talk at the University M…
SIMIODE Modeling Scenario : Fish Mixing (Teacher Version)
Abstract: This activity gives students a chance to build a differential or difference equation model similar to standar…
Consortium 112, Spring/Summer 2017
Table of Contents: From the Editor's Desk: New Faces GAIMME: Introducing: Transforming Textbook Word Problems... Ma…
UMAP Journal 38.1 Spring 2017 Edition
Table of Contents Editorial Many Thanks and Welcome Articles A Modified Massey Method to Rank Players on the PGA Tour…
Modern Algebra : Time for Change
Introduction So what is modern about Modern Algebra anyhow? It is an old subject, to be sure, and calling it "modern"…