The Mathematics: Modeling Our World curriculum is founded on the principle
that mathematics is a necessary tool
for understanding the physical and
social worlds in which we live. This is
not the same as saying that mathematics can be
applied. Rather, important questions about the “real
world” come first and serve to motivate the
development of the mathematics. Thus the contextual
questions “drive” the mathematics.
Mathematics: Modeling Our World derives mathematical
concepts from reallife situations rather than
illustrating skills, after the fact, with examples. As
students discover a variety of ways to solve a
problem, they not only learn mathematics and
content in other curriculum areas but they also learn
how to organize and analyze data, make predictions,
prepare and present reports, and revise their
predictions based on new information.
In the first Chapter, The Geometry of Art, students work
within the context of the world of art as they use
mathematics to create and analyze perspective
representations of threedimensional objects. Four
basic elements of perspective drawing are examined:
overlapping, diminution, convergence, and
foreshortening.
In Chapter 2, Fairness & Apportionment, students explore
fairness while trying to solve the problem of dividing
an estate fairly among heirs when an estate contains
objects that cannot be sold. Another reallife problem
involves trying to allocate a limited number of
computers among several schools. Students are also
introduced to several existing methods of
apportionment of the Chaptered States House of
Representatives. They are asked to analyze those
methods for strengths and weaknesses and
challenged to suggest their own algorithms for fair
allocation along with mathematical measures of
fairness for testing them.
The two main reallife situations providing the context
for Chapter 3, Sampling, are analysis of public opinion
and the estimation of wildlife populations. As part of
the work of the Chapter, students conduct their own
public opinion poll, write the poll questionnaire, select
a sampling design, administer their survey, compile
the data, analyze the results, and write a report.
In Chapter 4, Mind Your Own Business, students are faced
with the challenges and dilemmas involved in the
management of a small manufacturing business. They
use mathematics to answer many pressing questions
that real businesses face including: How are price and
sales related? Which price will maximize profits? What
happens when a business must conform to a relatively
fixed market price? How does a small business decide
whether expansion is feasible and will be profitable?
Chapter 5, Oscillation, is multicontextual with four major
contexts that dictate the mathematics covered:
amusement rides (ferris wheels and carousels);
planetary motion (seasonal changes in temperature
and daylight due to the earth’s motion, as well as the
changes in the moon’s appearance due to its motion
about the earth); sound (music); and seasonal power
usage (the periodic nature of electrical usage).
Chapter 6, Feedback, models several different situations
from various contexts. In each situation the
underlying structure is that of interacting quantities,
though that is not always immediately obvious. The
Chapter progresses from the analysis of sales data for a
new product, to examining the spread of jokes and
diseases, to the modeling of interacting species.
In Chapter 7, Modeling Your World, students first work
within the context of modeling projects created by
other students. After critiquing those models, they
apply what they have learned to modeling projects of
their own choosing set in contexts of particular
interest to them.
Click here to download a Scope and Sequence Chart for
Mathematics: Modeling Our World (MMOW) Course 3, 2nd edition.
Click Here To Download A Detailed Overview of Course 3, 1st edition.
Click Here To Download A Review of Course 3, 1st edition.
Click Here To Download the MMOW Final Evaluation Report, 1st edition.
Chapter 1
The Geometry of Art 

LESSON ONE
Keep It In Perspective
LESSON TWO
Drawn to Scale
LESSON THREE
Vanishing Point
LESSON FOUR
The Right Space
LESSON FIVE
The View From the Edge
LESSON SIX
Foreshortening
Chapter Summary 


Chapter 2
Fairness & Apportionment 

LESSON ONE
Heir Today, Gone
Tomorrow
LESSON TWO
More Estate Division
LESSON THREE
Apportionment: The
Unfairness of Fairness
LESSON FOUR
Other Methods
LESSON FIVE
Measuring Unfairness
Chapter Summary 


Chapter 3
Sampling 

LESSON ONE
It’s All in the Question
LESSON TWO
Experience Counts
LESSON THREE
Say It With Confidence!
LESSON FOUR
Selective Service
LESSON FIVE
The Results Are In!
LESSON SIX
Tag, You’re It!
Chapter Summary 


Chapter 4
Mind Your Own Business 

LESSON ONE
So, You Want
to Be in Business
LESSON TWO
Who’s Minding
the Store(room)?
LESSON THREE
Changing Assumptions
LESSON FOUR
Slow Growth
Chapter Summary 


Chapter 5
Oscillation 

LESSON ONE
Life’s Ups and Downs
LESSON TWO
A Sine of the Times
LESSON THREE
Connections
LESSON FOUR
Fade Out
LESSON FIVE
Now We’re Cookin’
Chapter Summary 


Chapter 6
Feedback 

LESSON ONE
What Lies Ahead
LESSON TWO
Another Model
LESSON THREE
It’s Going Around
LESSON FOUR
An Ecological
PushMePullYou
Chapter Summary 


Chapter 7
Modeling Your World 

LESSON ONE
The Modeling Process
LESSON TWO
Analyzing Mathematical
Models
LESSON THREE
Modeling Our World
LESSON FOUR
Creating Your Model
Chapter Summary 


Course 3 of the Mathematics: Modeling Our World (MMOW) curriculum offers additional resources to supplement the text:
Teacher's Edition
CDROM
The embedded teacher materials are designated by two kinds of icons that are also colorcoded.
A note icon opens a popup window when the cursor moves over it. Whether the entire note fits in the popup depends on the individual settings.
There are two types of notes embedded in the teachers files:
Yellow teaching notes that are relatively short and contain no figures or equations.
Short answer sets that contain no figures or equations. Usually these are answers for discussion/reflection questions or short activities.
The second type of icon is a pin that indicates an attachment. The attachment opens in a second window when the icon is doubledclicked.
There are three types of attachments embedded in the teachers files:
Yellow teaching notes that contain figures or equations.
Answer sets for most activities and individual work exercises.
Support materials: assessment problems, handouts, transparencies, and supplemental activities.
Calculator and computer software
Calculator and computer software written specifically for Mathematics: Modeling Our World (MMOW). With software programs for each allows students to explore realworld themes with the same tools used by scientists, technicians, and business people. The software includes graphing calculator programs, specialty computers, spreadsheet template, data sets, and geometric drawing utility sketches.
DVD Video
Video segments accompany each and are used to motivate students as they begin a , or to provide additional information for a specific problem.
Ordering Information
To download a Mathematics: Modeling Our World (MMOW) Courses 3 price list click here.
