An Incomplete Guide
Useful and Interesting Math
Recommended Mathematics Literature for Self-study
An excellent annotated list of problem-solving resources and classics
in the mathematical literature, strongly recommended for the serious
student of mathematics.
- The Art of Problem Solving/Volume 1: the
Basics, and Vol. II: and Beyond,
by Sandor Lehoczky and Richard Rusczyk. 1993: Greater Testing Concepts.
Lehoczky and Rusczyk, the creators of the
Mandelbrot Competition, use problems
from their contest and others (Mathcounts, AHSME, and USAMTS, to name a
few) to illustrate the concepts they present. These books are excellent
supplements to regular textbooks because of their extensive use of
applications and problem-solving techniques. The critical and creative
thinking processes that are encouraged in these books are most valuable for
every student. Manuals with complete solutions for both books are recommended.
(Available at a CMC meeting, or see the
Art of Problem Solving
- Probability Without Tears,
by Derek Rowntree. 1984: Scribner's.
This book is a very readable and useful guide
to the subject of probability for junior high on up. There are other books
in this series, including Statistics without Tears.
Math history, recreation, etc.:
- From One to Zero, a Universal History of
Numbers, by Georges Ifrah
- Mathsemantics: Making Numbers Talk Sense,
by Edward MacNeal.
A well-written, insightful, and
fascinating book that challenges our way of thinking about math, and gives
some concrete guidelines for learning how to think in a mathematical way.
- The Joy of Mathematics and
More Joy of Mathematics,
by Theoni Pappas.
These books explore
hundreds of topics from every branch of learning that is related to math in
some way. Some topics require an understanding of algebra, geometry, or
higher math, but many do not. Both books have lots of illustrations and
complete indices. Theoni Pappas also puts together a couple of math
calendars each year, and has several other math projects, including books
for younger students and even a set of regular playing cards with a math
brain teaser on each card. (These are available from
Math Products Plus.)
Compiled by Prof. Alex Kasman at the College of Charleston,
this website is a well-organized and cross-referenced annotated bibliography
containing more than 240 entries, including films, plays and TV shows as
well as books.
Bamdad's Math Comics Page
A collection of math comics from all over.
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Math Materials Mail-order
2700 York Rd., Burlington, NC 27215-3398
Lots of excellent and sometimes hard-to-find math books, games, charts and other items.
Dale Seymour Publications
Palo Alto, CA 94303-0879
This publisher carries many good problem-solving books, posters
and other interesting and helpful math materials.
- Institute for Math
Mania--A Catalog of Materials for Math Maniacs
Montpelier, VT 05601
An interesting collection of math puzzles and games, manipulatives,
three-dimensional models to make, hands-on materials of all kinds. Also
included are problem-solving books for all levels, biographies of
mathematicians, and a series on probability and statistics,
among other things.
- Key Curriculum
1150 65th Street,
Emeryville, CA 94608
This publisher carries math workbooks and other materials for grades K-12, videos,
Geometry and Algebra II textbooks, problem-solving books (esp.
Crossing the River with Dogs), computer programs
(including The Geometer's Sketchpad), posters, and the Lenart sphere
and other manipulatives.
- Math Products Plus
P.O.Box 64, San Carlos, CA 94070 (650)593-2839
Math books, calendars, puzzles, T-shirts, and other items of interest to people who love
math. Most of the books in this catalog are by Theoni Pappas, author of The Joy of
Mathematics. Pappas' My Best Math Puzzles, a double deck of playing cards
with a math puzzle on each card, is also available here.
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Math on the Web
North Carolina Math Newsletter
A website for North Carolina middle and high school students and teachers, providing
math problems, upcoming events notices, information about math contests, guest and alumni
columns, and other interesting math-related items.
Secondary Mathematics Web Resources
An Australian site with excellent links to many other sites and sources
of useful information.
The History of Math
link is especially interesting.
The Math Forum
A large site based at Drexel College. Great links as well as a Q & A section
(see also "Ask Dr. Math" below), discussion boards, Internet Math Library, and a
"Problem of the Week section". Very well-organized and easy to search.
Math2.org (formerly "Dave's Math Tables")
Lots of information as well as some links to other excellent math sites.
Frank Potter's Science Gems (Mathematics section)
A list of links grouped by math subject area, which is helpful.
There are some very interesting links referenced.
Internet Public Library (IPL) - Math Whiz division
An amazing list of helpful sites, in categories such as (but not limited to)
Arithmetic and Basic Facts, Geometry, Math in the Real World, and Projects and Puzzles.
Some examples of intriguing sites found here: Biographies of Women Mathematicians,
A Brief History of Algebra and Computing: An Eclectic Oxonian View,
Mathematical Quotations Server, The Prime Page.
The IPL is a fascinating place for other subjects, too.
Cut the Knot
A terrific math website with all sorts of interesting things to do and places to go.
Mathematics Information Servers
This is a Penn State site; it has a search engine and links
to all sorts of math sites all over the world.
Harold Reiter's Home Page
A site full of links to a multitude of fascinating, helpful, and diverse math sites.
Allmath.com - Math site for kids!
Just what it says - All Math: games, tools, glossary, lots of links!
Eric Weisstein's World of Mathematics
A section of the website of Wolfram Research, this is a very well-organized resource
that covers some high school math but more math for college math and beyond.
Well-organized and easy to navigate.
This site is maintained by Los Alamos Laboratory in New Mexico; it has a number of
interesting math explorations in various topics.
A website devoted to promoting math in a friendly way.
This site has lots of interesting things to learn about math on many levels,
and it has excellent (and well-screened) links to both math and non-math educational sites.
This is just what it says, a tutorial (complete with pictures) about how to do this
unusual method of calculating on one's fingers.
This site has lots of games for all ages; there are some good math games
and there are games from other subject areas, too.
Some ideas about math and homeschooling, and a handful of links to other sites.
Ole Miss - Problems of the Week
A collection of problems of the week contests for all levels of high school math.
Dyscalculia International Consortium
This is the site to find out about math learning disabilities and what can be done about them. There are some good references for math anxiety, too, on their book list.
Sassafrass Grove Math Page
This is the math section of a much larger site...lots of good links to math sites all over,
and for all ages and abilities.
Check out A Look at Math
...also, I like the motto at the bottom of the math page....
For math and computer competitions web links, go to
our math competitions page
or click here and scroll down
to the Math Contest section of the page.
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Ask Dr. Math
This site gives an opportunity for students to get help with math problems, etc.
The Math Message Board
An interactive website where you can ask math questions of all sorts.
Homework Facts -- Math
Just what it sounds like: Can't remember how many feet in a mile?
Need to know metric conversions? Forgotten a formula that you need RIGHT NOW?
Check this out!
A study help site. It has lessons to refresh the memory on everything from fractions
and factoring to differential equations and calculus.
Lessons are followed by practice exercises, which are linked to complete solutions.
This site also has a great list of books about math and about learning math.
FREE geometry drawing software, lots of things you can do with this for fun or
in a geometry course!!
edHelper.com -- Mathematics section
A very large collection of math lessons, resources, and educational programs,
categorized by math subject area and by topics such as Games, Measurement,
A dictionary of math terms commonly used in grades 6-9 math courses.
Alphabetically organized, very easy to use.
Harcourt Math Animated Glossary
An illustrated and, in some cases, animated, math dictionary.
Terms are organized by grade (I don't know why!) but terms under each grade are organized
Harcourt Academic Press Dictionary of Science and Technology
A very comprehensive listing of math and science terms - maybe too much information here!
For example, searching for the term "absolute value" turned up only "absolute value computer",
but searching for "factor" yielded a very long list of terms that had the word "factor" in them,
though I could not find, with a quick search, any definition for the word "factor"
as we use it in Mathcounts.
was begun in 1987 by Dr. Harold Reiter for
the purpose of providing enrichment and challenges for students who have a
strong interest and ability in mathematics. The club meets approximately
once a month from September to May. At club meetings, students work
individually and in small groups to solve problems from various areas of
mathematics. Occasionally there is a presentation of a special topic, as
well. In February the club attends the College of Charleston Math-Science
Weekend, and the club has participated in such contests as the Mandelbrot
Competition, the Mecklenburg Area Mathematics League (MAML), the USA
Computing Olympiad and the Tournament of Towns, a Russian competition. The
December meeting is a pizza & welcome-back-alumni event, and we gather in
May for an end-of-year picnic. The club welcomes young people who are
interested in joining together with other highly motivated students from
Charlotte-Mecklenburg and surrounding areas. Our club members are
typically in eighth grade or higher and are taking Algebra, Geometry, or
higher level mathematics courses. Student backgrounds include public,
private, parochial and home-school environments. For more information,
check out the web page or contact:
Department of Mathematics
Davidson, NC 28036-1719
The Mecklenburg Math
Club meets once a month on a Saturday morning from 9:30 to noon
at Regional Scholars Academy, 9100 Olmstead Drive (UNCC area) and Providence Day School,
at the corner of Rama and Sardis Roads.
During the meetings, students will be involved in problem-solving
sessions and other interesting math-related activities. The MMC
participates in the Math Olympiad for
Elementary Schools during part of their meeting from November through March.
For more information about the Mecklenburg Math Club, contact
Mu Alpha Theta
The national mathematics club for high school students.
NRICH Online Maths Club
This is a British site, with a newsletter, games, problems to solve, and other activities.
Mathematics programs for
high school students
UNCC High School Escrow Program
Charlotte area students who are gifted in math, computers, or other areas
and who would like to take college courses as a supplement to their high
school education can do so at UNCC as
long as they can handle the level of work required--no minimum
age limit. At UNCC, the program is called the "High School Escrow
Program"; contact the Admissions Office for more information. For students
who live outside the Charlotte area, more information can be had from your
local college or university, your high school guidance counselor, or the
local chapter of the National Council of
Teachers of Mathematics(NCTM).
Summer Ventures in Science and Mathematics (SVSM) is a cost-free,
state-funded program for academically talented students who may pursue careers
based in science and mathematics. The program brings rising juniors and seniors
together in residential settings for four weeks of intensive study.
See their website
for information and application materials.
The application deadline for summer 2005 is
January 31, 2005. (The application includes a teacher recommendation;
be sure to give your teacher time to write this!)
There are many other summer programs in math for students in grades 9-12, some in
our area and others at various sites around the country. Some are free,
others charge varying amounts of tuition but most of these have
some scholarships available. See
Harold Reiter'sSummer Opportunities Page,
and the Summer Opportunities for Pre-College Students
Summer Math Camps and Programs for High School Students,
sponsored by the American Mathematical Society, for more information.
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A Footnote about Math Clubs
by Susan Schaeffer
Math competitions and math clubs are not for every student,
but for many they are a way of learning a more interesting kind of math
than is encountered in the normal curriculum and textbook, and a
way of meeting other students who have an enthusiasm for mathematics.
Many times, becoming involved in some of the activities listed here has
brought about a change in attitude and a new appreciation for math
and for learning that the student perhaps did not have before.
Also, involvement in these activities can bring real talent to light,
and be a way for a bright student to connect with people
and programs that can be of great value in helping the student choose
a direction for the future, in terms of career, college, etc.
I highly recommend that students who are interested in mathematics
and have a solid foundation in the subject take advantage of the
opportunities I've listed.
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We need your input!!
This guide is, as we noted, incomplete. In order to make it more useful
for our visitors, we need input from you!
Send your suggestions for improvements/corrections/additions to this
resource list to
Susan Schaeffer. Thanks!
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(last update: 23 January 2005)