Archive:
2010 
2009 
2008
2007 
2006 
2005 
2004 
2003 
2002 
2001
2000 
1999 
1998 
1997 
1996 
1995 
1994
January 1995 Hot Spot: The History of
Mathematics archive is part of the Mathematical MacTutor system
developed at the School of Mathematical and Computational Sciences of
the University of St Andrews for learning and experimenting with
mathematics. The archive contains the biographies of more than 550
mathematicians. About 200 of these biographies are fairly detailed and
most are accompanied by pictures of the mathematicians themselves. There
is also a series of articles on the development of mathematical ideas
crossreferenced to the biographies. The archive contains a Birthplace
Map and a collection of other good web sources of information concerning
the history of mathematics.
February 1995 Hot Spot: The
Fractal Microscope is an interactive tool designed by the Education
Group at the National Center for Supercomputing Applications (NCSA) for
exploring the Mandelbrot set and other fractal patterns. By combining
supercomputing and networks with the simple interface of a Macintosh or
XWindows workstation, students and teachers from all grade levels can
engage in discoverybased exploration. The program is designed to run in
conjunction with NCSA imaging tools such as DataScope and Collage. With
this program students can enjoy the art of mathematics as they master
the science of mathematics. This focus can help one address a wide
variety of topics in the K12 curriculum including scientific notation,
coordinate systems and graphing, number systems, convergence,
divergence, and selfsimilarity.
March 1995 Hot Spot: MegaMath!
Mathematics is a live science with new discoveries being made every day.
The frontier of mathematics is an exciting place, where mathematicians
experiment and play with creative and imaginative ideas. Many of these
ideas are accessible to young children. Others (infinity is a good
example) are ideas that have already piqued many children's curiosity,
but their profound mathematical importance is not widely known or
understood. MegaMath is a project of the Computer Research and
Applications Group at Los Alamos National Laboratory, and is intended to
bring unusual and important mathematical ideas to elementary school
classrooms so that young people and their teachers can think about them
together.
April 1995 Hot Spot: PBS
MATHLINE
The Public Broadcasting System's Math Service. Combining computing and
telecommunications technologies, public television offers interactive
data services in addition to interactive video and voice services for
education based on the mathematics standards set by the the National
Council of Teachers of Mathematics (NCTM). Mission, Middle School Math
Project (MSMP); Math Electronic Resource Center (MERC); Facts Sheet;
FAQ; How to Subscribe; Staff.
May 1995 Hot Spot: "Clever
Games for Clever People"  Games John Conway likes (page by Nancy Casey,
MegaMath author)
Games from the book On Numbers and Games by John Conway (New
York: Academic Press, Inc., 1976). John Conway says in the preface to
this book that he wrote it to tell about the relationships between two
of his favorite subjects: theories of transfinite numbers and
mathematical games. Many of us have used logic and numbers to explain
how to win a game, but mathematician Conway was not about to do
something so ordinary. In this book he takes that idea and turns it
inside out by showing how games can be used to describe numbers. You're
asked to just play the games and try to win, and then to describe what
you understand about them using words and pictures that make sense to
you and your friends. As you understand the games and become expert at
playing them, you'll be building tools for understanding numbers and
becoming an expert at playing with them. The games: StopGate, Col,
Snort, Coinstrip, Moneybags, Kayles, Rim, Rayles, Traffic jam, Welter's
game, All the King's Horses, Digital Deletions, Hackenbush Unrestrained,
Hackenbush Restrained, Hackenbush Hotchpotch, Technicolor Hackenbush.
June 1995 Hot Spot: Alan Selby's Lessons and
Appetizers for Math and Logic
Three Skills For Algebra (a first image of mathematics after arithmetic
 why letters or symbols are favored in algebra in place of numbers);
Two logic puzzles to show the difference between a oneway and a twoway
rule; Painless Theorem Proving; Longer Chains of Reason: What is
Mathematical Induction?; Complex numbers Etc.  A geometrical story
based on the addition and multiplication of arrows in the plane; Chains
of Reason  mathfree examples of rulebased reasoning; How Logic or
RuleBased Reason Appears in Math; VNR Concise Encyclopedia of
Mathematics. Also Appetizers on Other WWW Pages.
September 1995 Hot Spot: NCTM
Standards Online
The Eisenhower National Clearinghouse has done us all a fantastic
service by making available online the Curriculum and Evaluation
Standards publication from NCTM. This document, as much as any
other, is driving current reform efforts in math education and now
there's no excuse for Internet savvy math teachers to not be familiar
with them.
October 1995 Hot Spot: MathSearch
Maintained by the School of Mathematics and Statistics at the University
of Sydney, Australia. Over 35,000 searchable documents on mathematics
and statistics servers across the Web. Note: these are primarily
research and collegelevel documents. Enter one or more "phrases" and
start search. For each document matched, the following are reported: how
many sentences in the document contain each phrase; the document title,
if it exists (otherwise the URL is given); the WWW server containing the
document (if not already given in the URL); the number of sentences in
the document; the total number of stems, other than the ones ignored, in
the document.
November 1995 Hot Spot:
Lessons
by
Susan Boone
Lessons developed by Susan Boone, a participant of GirlTECH '95, a
program funded by CRPC Rice University and the RUSMP. "A Functional
Housing Market" asks students to search the Internet for housing prices
and compare them to the area of a house, thus deriving a linear
equation. The "Internet Pizza Server" lets students order pizzas,
calculate their area, and determine the better buy. With "Pop Clock,"
students look at the census site, study data, and make predictions on
future populations. Find the mean and median speeds for racers in the
"INDY 500"; study rates and speeds by using the "RealTime Traffic
Report."
