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Online Resource: Real World Problems
The site is maintained by George Alexander.
Technical expertise by the AMATYC Website Coordinator.
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With the changing nature of the Internet, these sites may no longer
exist or they may exist in different formats. To suggest new sites
for inclusion, to report bad links, or to comment on any of the
listings in this resource, please use the feedback
form .
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Barry Spieler's Calculus Projects:
Contains problems in calculus based on real-life situations for
instances you can become the Wright Brothers. and determine how
dangerous is the situation when two airplanes' paths cross
- Calculus
and Disease Prediction
At this site the author takes a single context--an infectious
disease spreading through a population--to see how calculus emerges
and how it is used.
- Circles
of Light: The Mathematics of Rainbows
How are rainbows formed? Why do they only occur when the sun is
behind the observer? If the sun is low on the horizon, at what
angle in the sky should we expect to see a rainbow? This lab helps
to answer these and other questions by examining a mathematical
model of light passing through a water droplet.
- Connected
Curriculum Project
This site comprises Interdisciplinary Projects connecting engineering,
and the physical sciences through mathematics. The projects are
designed to show how mathematics relate to real world problems.
- EggMath
A collection of Web modules (many with interactive applets) covering
different topics in K-12 mathematics related to eggs (that's right,
eggs!). Symmetry, exponential growth, etc.
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Fermi Questions Library
Fermi questions emphasize estimation, numerical reasoning, communicating
in mathematics, and questioning skills. Students often believe
that "word problems" have one exact answer and that the answer
is derived in a unique manner. Fermi questions encourage multiple
approaches, emphasize process rather than "the answer", and promote
non-traditional problem solving strategies.
- Latitude/Longitude
Distance Calculation
Determine the distance between two points on the earth given their
latitudes and longitudes. Links to a description to the math behind
the calculation.
- Learning Network
This page sponsored by the New York Times offers learning connections
for students, teachers and parents, dealing with timely topics,
changes on a daily basis. Really worth taking a look at (see New
York Times below)
- Making
math relate to the real world: a teacher testimony
- Mathematics and its applications
in engineering and science
Cooperative effort by mathematicians, engineers and scientists
to develop educational materials that link mathematical topics
with applications in engineering and science. The primary product
of this effort is a set of interactive, web-based learning modules.
Includes Applet Library
- Mathematics and
Molecules
MathMol provides students, teachers, researchers and the general
public with information about the rapidly growing fields of molecular
modeling and related areas. It provide K-13 students and teachers
with basic concepts in mathematics and their connection to molecular
modeling.
- Math in
Daily Life
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New York TImes
An annotated set of lesson plans from the New York Times posted
on a daily basis dealing with current topics. Extremely well written
lessons. For instance during the 2000 World Series the following
was posted "Math on the Mound (Grades 6 to 12) Using the World
Series to Teach Math In this lesson, students will explore mathematical
applications of the current intra-city World Series. After learning
how one school district is incorporating the World Series in its
classrooms, students will consider possible applications of the
Series in their math curriculum and then create World Series math
projects. (October 26, 2000)"
- Some
disasters attributable to bad numerical computing
The Patriot Missile failure, in Dharan, Saudi Arabia, on February
25, 1991 which resulted in 28 deaths, is ultimately attributable
to poor handling of rounding errors. The explosion of the Ariane
5 rocket just after lift-off on its maiden voyage off French Guiana,
on June 4, 1996, was ultimately the consequence of a simple overflow.
The sinking of the Sleipner An offshore platform in Gandsfjorden
near Stavanger, Norway, on August 23, 1991, resulted in a loss
of nearly one billion dollars. It was found to be the result of
inaccurate finite element analysis.
- Welcome to the NASA
AMATYC -NSF Mathematics Explorations I and II are two resource
books of class-ready learning modules (LTAs and Spinoffs) for
you, the professor, who seeks exciting, authentic applications
of two-year college mathematics for use in your classes. The materials
are designed so that you can implement them to fit your teaching
style and your students' needs.
- World
Series Problem
How Many Games Does it take to Win the World Series?
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