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 par...
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...
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 ...
Universal Language: Role for Mathematics
Introduction While relatively few people (just a million or two) in our world of more than six billion people actual...
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 Interdisciplin...
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 Radical...
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 Abstra...
Consortium 95, Fall/Winter 2008
Table of Contents: From the Publisher's Desk: Change Math Today: Bankrupt In Search of Research: On Research i...
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 demonst...
It Does Matter How You Slice It
These activities focus on data analysis in the context of statistical process control (SPC) in the semiconductor indu...
Decimals Into Fractions Part II
In a previous article "Decimals Into Fractions" in Consortium 92, Spring/Summer 2007, we developed and proved an algo...
Connections
Isn't it interesting how the solution of a simply-stated but famous problem may immediately resolve another such prob...
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...
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 ...
UMAP Journal 29.4 Winter 2008 Edition
Table of Contents: Guest Editorial Calculus: Textbooks, Aids, and Infinitesimals Articles Searching for Text in ...
SPECT: Mathematical Principles and Historical Remarks
Introduction We explain the underlying mathematics and physics of two medical imaging techniques: • computed tomogr...
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 regul...
ResourceMAP - Basic Probability - Teachers Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regul...
ResourceMAP - Number Patterns - Student Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regul...
ResourceMAP - Number Patterns - Teachers Edition
ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regul...
Consortium 94, Spring/Summer 2008
Table of Contents: From the Editor's Desk: Good Ideas Geometer's Corner: Mortgages and Sea Shells: A Dynamic App...
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 ...
Goldbach's Conjecture
Challenging problems in mathematics often involve expressing all of the elements of one number set in terms of those ...
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 rem...
Considering Context
Over the last twenty years, educators have consistently argued for increased emphasis on mathematical modeling in the...
Reading in the Intersection of Biography, Mathematics, History, and the Future
Five books convey the humanity, passions, histories, biographies, and conceptual underpinnings associated with some f...
Random Walks and a Dimensionless Number: Mathematics for Marine Ecology
Danny Grünbaum is a marine
ecologist who works as a
professor in the departments of
Oceanography and Biology a...
Speedometer and Odometer Accuracy
The activities in this Pull-Out focus on developing a model to describe the effect of changing the size of a vehicle'...
Chapter 2: Linear Models: Student Edition Developing Mathematics through Applications: Elementary (DevMAP)
Book/Course 1: Developing Mathematics through Applications: Elementary
Chapter 2 Linear Models
Chapter 2Preparat...
Chapter 3: Modeling Behavior from Data: Student Edition Developing Mathematics through Applications: Elementary (DevMAP)
Book/Course 1: Developing Mathematics through Applications: Elementary
Chapter 3 Modeling Behavior from Data
Cha...
Chapter 4: Polynomials and Exponents: Student Edition Developing Mathematics through Applications: Elementary (DevMAP)
Book/Course 1: Developing Mathematics through Applications: Elementary
Chapter 4 Polynomials and Exponents
Chapt...
Chapter 5: Quadratic Functions and Radicals: Student Edition Developing Mathematics through Applications: Intermediate (DevMAP)
Book/Course 2: Developing Mathematics through Applications: Intermediate
Chapter 5 Quadratic Functions and Radical...
Chapter 6: Rational Expressions and Systems of Equations: Student Edition Developing Mathematics through Applications: Intermediate (DevMAP)
Book/Course 2: Developing Mathematics through Applications: Intermediate
Chapter 6 Rational Expressions and System...
Chapter 7: Probability: Student Edition Developing Mathematics through Applications: Intermediate (DevMAP)
Book/Course 2: Developing Mathematics through Applications: Intermediate
Chapter 7 Probability
Chapter 7 Prepar...