Movin On Up Modeling How Hermit Crabs Find New Homes
As hermit crabs grow, they regularly need to find larger shells to call home. When one crab finds that its current shel…
House Calls
This Pull-Out focuses on building models to predict housing starts (the number of new residential construction projects…
UMAP Journal 30.2 Summer 2009 Edition
Table of Contents: Guest Editorial Discrete Math First! Special Section on the ICM Results of the 2009 Interdisciplin…
Ptolemy to Fourier: Epicycles
This remark highlights the remarkable resemblance of Fourier series to Ptolemy representation of the motion of a planet…
UMAP Journal 30.3 Fall 2009 Edition - The 2009 MCM Contest Edition
Publisher's Editorial The Faffufnik-Chaim Yankel Effect Special Section on the MCM Results of the 2009 Mathematical Co…
Consortium 97, Fall/Winter 2009
Table of Contents: From the Publisher's Desk: Please Open Wide Math at Work: College Students Investigate Careers…
UMAP Journal 29.1 Spring 2008 Edition
Table of Contents Guest Editorial Calculus Isn't Crap Articles Maximizing Interactions in Class and at Social Mixers…
Maximizing Interactions in Class and at Social Mixers
Introduction Have you ever noticed that at parties, wedding receptions, and class reunions, people tend to hang out wi…
Peak-Frequency Responses and Tuned Mass Dampers-Exciting Applications of Systems of Differential Equations
Abstract We present two applications of systems of ordinary differential equations concerning excitation of a structur…
Reed-Solomon Codes: A Tutorial and a Java Toolbox
Introduction to Coding Theory A code is a set of messages, called codewords, that can be transmitted between two parti…
An Application of Burnside's Theorem to Music Theory
Introduction Isihara and Knapp [1993] introduce fundamental ideas in an area of music theory that musicians refer to a…
How to Call a Crank a Crank (and Win If You Get Sued)
Introduction Mathematical cranks-those people who incorrectly think that they have trisected the angle, squared the ci…
Universal Language: Role for Mathematics
Introduction While relatively few people (just a million or two) in our world of more than six billion people actually…
UMAP Journal 29.2 Summer 2008 Edition
Table of Contents: Publisher's Editorial A New Memory Special Section on the ICM Results of the 2008 Interdisciplinar…
Chapter 5: Quadratic Functions and Radicals: Instructor Resources Developing Mathematics through Applications: Intermediate (DevMAP)
Book/Course 2: Developing Mathematics through Applications: Intermediate
Chapter 5 Quadratic Functions and Radicals…
UMAP Journal 29.3 Fall 2008 Edition - The 2008 MCM Contest Edition
Publisher's Editorial Change Special Section on the MCM Results of the 2008 Mathematical Contest in Modeling Abstract…
Consortium 95, Fall/Winter 2008
Table of Contents: From the Publisher's Desk: Change Math Today: Bankrupt In Search of Research: On Research in…
New Technology Meets Some Old Geometry
I have just spent the better part of two weeks learning to use a magnificent new piece of software that I saw demonstra…
It Does Matter How You Slice It
These activities focus on data analysis in the context of statistical process control (SPC) in the semiconductor indust…
Decimals Into Fractions Part II
In a previous article "Decimals Into Fractions" in Consortium 92, Spring/Summer 2007, we developed and proved an algori…
Connections
Isn't it interesting how the solution of a simply-stated but famous problem may immediately resolve another such proble…
On Research in Teaching and Learning Mathematical Modeling
There is an old adage,"You can't find something if you don't know what Äòit' is that you are seeking!" This column is t…
Samples, Statistics, and Missing Data: Survey of an Environmental Hazard
In Midland, Michigan,
environmental
contamination is a topic of
critical concern to many
citizens.A chemical pl…
UMAP Journal 29.4 Winter 2008 Edition
Table of Contents: Guest Editorial Calculus: Textbooks, Aids, and Infinitesimals Articles Searching for Text in Ve…
SPECT: Mathematical Principles and Historical Remarks
Introduction We explain the underlying mathematics and physics of two medical imaging techniques: • computed tomograp…
Pointillism via Linear Programming
Pointillism is a painting technique in which the painter does nothing but place dots of paint on the canvas. Up close…
ResourceMAP - Basic Probability - Student Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…
ResourceMAP - Basic Probability - Teachers Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…
ResourceMAP - Number Patterns - Student Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…
ResourceMAP - Number Patterns - Teachers Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular…
Consortium 94, Spring/Summer 2008
Table of Contents: From the Editor's Desk: Good Ideas Geometer's Corner: Mortgages and Sea Shells: A Dynamic Appro…
Mortgages and Sea Shells: A Dynamic Approach
This column focuses on iterating linear functions of both a real and a complex variable and shows that there is some in…
Goldbach's Conjecture
Challenging problems in mathematics often involve expressing all of the elements of one number set in terms of those of…
Quadratics That Factor, Perhaps Too Well
INTRODUCTION AND REFORMULATION 1 The following problem has come up a number of times over the years, and I never remem…
Considering Context
Over the last twenty years, educators have consistently argued for increased emphasis on mathematical modeling in the c…