Math Forum Internet News

Volume 2, Number 17

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  28 April 1997                               Vol. 2, No. 17


Math & Energy Conservation | Devlin's Angle | Pascal's Triangle


Math Activity Guides created for the vocational technical 
schools in Louisiana as part of the Energy Conservation 
Enhancement Project.

Starting with addition and subtraction and moving up
through word problems, algebra, fractions, decimals,
percentages, measuring, area and volume, ratio, proportion, 
and graphing, these practical lessons present math 
operations for solving real-world problems involving 
energy in home construction. Examples include:

  - calculating insulation choices for a home;
  - figuring the cost of energy-related goods and services;
  - understanding how electricity is measured and how the 
    homeowner is charged for it;
  - finding ways to save on home and auto energy bills; 

Each lesson provides goals, objectives, basic math background
information, activities with concrete, detailed examples of
how to 'do the math', a review, and teacher's notes.


                       DEVLIN'S ANGLE

A monthly column by Keith Devlin, Dean of Science at Saint
Mary's College of California and Editor of FOCUS, the news
magazine of the Mathematical Association of America. Read 

  - Deep Blue and the Turing Test;
  - Zeno of Citium, Stoicism, logic, and computer science;
  - Tversky's Legacy Revisited and the blue taxi;
  - Men, Mathematics, Myths, and Evariste Galois;
  - Just what do we mean by a proof? Math and logic;
  - Why 2001 Won't be 2001: computers and language.

Don't miss these humorous and entertaining detours into the
connections between mathematics and other human endeavors.
Devlin's Angle is hosted by the MAA Web site.



                  WHAT IS PASCAL'S TRIANGLE?

In the numerical array of Pascal's triangle are worlds of 
mathematics, elementary and advanced.

To construct Pascal's triangle, start with the two top rows: 
1, and 1 1. For each entry in a succeeding row, add the
entries above it to the right and to the left. At the ends 
of each row, where there's only one number above, put a 1. 
You can generate any given row of Pascal's triangle if you 
have the row right above it:

                           1   1
                         1   2   1
                       1   3   3   1
                     1   4   6   4   1
                   1   5  10   10  5   1

Read about its applications to algebra and probability/
combinatorics, see related links in the Dr. Math archives, 
and explore suggestions for useful Web sites about Pascal's
triangle in the Dr. Math FAQ:

Come back and visit us from time to time to keep up with 
regular additions to our FAQ.


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