Leadership Program:

Discrete Presentations at NCTM || LP Workshop Connections || General Links
Math in the News || Pi Day Activities || Participant Suggested Sites

Connections to the Workshops

K-8 Workshop - "Putting Arrows On Edges"

• Drawing Directed Graphs The commonly used method for drawing directed graphs is the layer-based method suggested by Sugiyama.
• DAG -- A Program that Draws Directed Graphs
• The power of team exploration: Two robots can learn unlabeled directed graphs.

K-8 Workshop - "Sorting"

• MathMania Sorting Networks Introduction A sorting network is a machine that takes in a list of numbers and returns them sorted in order.
• MathMania Sorting Networks
• Sorting Networks and the END search algorithm with a convenient graphical representation of sorting networks.
• Record holding Sorting Algorithms This site describes the current record-holding implementation of a sorting algorithm. You can get an idea of how, in real life, several sorting algorithms are combined to achieve the best performance.
• Sort Benchmark Home Page Current sort records hosted by Microsoft.
• Ordinal Nsort User Guide Ordinal^TM Nsort^TM is a high-performance sort program for IRIX^TM.
• Sorting Algorithm Animation This site shows animations (in Java) of several sorting algorithms. It is a good way to get a feel for the way some of the more intricate ones work.

K-8 Workshop - "Voting, Elections, and Selection"

• The Center for Voting and Democracy The Center educates the public about the impact of different voting systems on voter turnout, representation, accountability and the influence of money in elections. The Center has particular expertise in systems of proportional representation and instant runoff voting in winner-take-all elections.
• Windisc Voting Software for Windows
• Basic Geometry of Voting this book has large number of new results about voting theory, the emphasis purposely is placed on three candidate settings so that the book can be read by almost everyone.
• Readings in Probortional Representation A source of information on proportional representation elections -- including beginning readings, in-depth articles by scholars and activists, an extensive bibliography, and a guide to related Web sites.
• Multiple Selection This proposal is for a "multiple-selection, winner-take-all" voting system as an alternative to our current voting system, which I call "single-selection, winner-take-all".

K-8 Workshop - "Patterns in Nature and Numbers"

• Fibonacci Numbers This page is a directory of material related to the Fibonacci numbers.
• Fibonacci Numbers and Nature including bees, flowers, pine cones, rabbits, shells and more.
• Fibonacci Numbers and the Golden Ratio This is the University of Surrey Home page for the Fibonacci numbers:
• Fibonacci Celebrates Halloween A Middle School Moment article from PCTM Magazine.
• Golden Ratio, Fibonacci Sequence from the Math Forum archives of Dr. Math
• Patterns Find activities to investigate how natural patterns influence us and how patterns help us to solve problems.
• Project SkyMath: Making Mathematical Connections This Web Page is designed for middle school mathematics teachers. It contains all of the information needed for teachers to use the 16 classroom activities of SkyMath, including the module itself. We believe that it is an effective and innovative way to present elements of the middle school mathematics curriculum.

K-8 Workshop - "Fair Shares for Everyone"

• Fair Division (Mathematics of Voting)
• Ivars Peterson's MathLand Toward a Fairer Expansion Draft.

LP Workshop Connections || General Links || Math in the News
Pi Day Activities || Participant Suggested Sites

For Teachers New to the Web

• Math Forum Internet News a weekly electronic newsletter.
• Mac Software can be safely download from this site.
• PC Software can be safely download from this site.
• Map Quest helps you plan your next trip with maps and driving directions.

General Links For ALL Math Teachers

• National Council Teachers of Mathematics professional organization for math teachers provides important information and links.
• The NCTM Curriculum and Evaluation Standards for School Mathematics document online
• NJ Math Coalition was created to facilitate and encourage improvement in the teaching and learning of mathematics.
• The New Jersey Mathematics Curriculum Framework was developed to provide information, guidance, and assistance to teachers and curriculum developers in implementing the mathematics standards adopted by the New Jersey State Board of Education in 1996.
• PCTM Online The Official Web Site of the Pennsylvania Council of Teachers of Mathematics.
• PA Proposed Academic Standards can be downloaded in Acrobat Reader Format.
• The Math Forum A Center for Math Education on the Internet.
• Ask Dr. Math is an archive of K-12 math questions and answers.
• Math and Children's Literature site by Carol Hurst contains articles and book lists.

In The News

• TIMSS Press Release for the TIMSS International Results for the Final Year of Secondary School (February 24, 1998)
• Check out Chris Caldwell's web pages on Mersenne Primes.
• Math Awareness Week 1998 Approaches The Math Forum hosts the national MAW web site for the third consecutive year. The MAW 98 theme poster and theme essay are now available online; we've also set up a database for outreach activities.
• MCI, others do a Web site for teachers, By Martha Woodall, Inquirer Staff Writer "Ninety-five percent of the teachers and 90 percent of the public said they believed using the Internet could aid students if they had fast, reliable access to material that was safe and educationally sound."
• Science Daily 2/24/98 Solution To Math Problem Could Lead To Better Dental Implants, More Resistance To Missiles.
• Science Daily 2/25/98 Keeping It Confidential: Researchers Harness Chaos For "Private" & Fast Optical Communications.
• Science Daily 2/27/98 New Math, High-Tech Imaging Solving Old Riddle: How Does The Brain Operate When We Think?
• Science Daily 3/4/98 Research Shows Homework Does Boost Academic Achievement; But Overemphasizing Grades And Performance May Lead To Cheating.
• Science Daily 3/6/98 More Than 2 Million Students To Take A Virtual Voyage
• Science Daily 3/6/98 Lunar Prospector Finds Evidence Of Ice At Moon's Poles

LP Workshop Connections || General Links || Math in the News
Pi Day Activities || Participant Suggested Sites

Pi Day

• The Pi Search Page lets you search for any numeric string that you wish in the first 50 million digits of pi.
• Pi links gathered by Antreas P. Hatzipolakis will take you many hours to investigate.
• The Pi Pages including the story of Pi and computation records.
• Activities for Pi Mathematics In the History section you will be able to explore the history of Pi using the World Wide Web.
• Pi through the ages recounts the history of Pi.
• The Math Forum: Ask Dr. Math Frequently Asked questions about Pi.

Discrete Math on the World Wide Web

• Enchanted Mind - Tangrams Java Puzzle This site requires a java capable browser
• MegaMath is a project of the Computer Research and Applications Group at Los Alamos National Laboratory.
• Spirolateral lesson plan and direction for a 5th grade activity.

Discrete Lessons created by Participants:

• Divisor Methods of Apportionment TI-82/83 program Created by: Chuck Tiberio

Links suggested by participants in Email to the Teachers List

Chuck Biehl

For a good sized bunch of puzzles, games, etc., visit http://www.cut-the-knot.com

Ethel Breuche

A colleague from the DREI96 institute sent a wonderful site on tesselations:

Judy Ann Brown

Math Line Puzzles including Join the Dots, Rose Bush Puzzles, M Puzzle, and Toothpick Puzzles.

The NCTM conference session information is now available on-line.

Just a Usual Day at Unusual School Students perform a play which takes place in a school where some of the students always lie and the rest always tell the truth.

The 1998 Game This year it was possible to write expressions for all 100 numbers.

Kevin DeVizia

PCTM Conference/Inservice provides information on the March PCTM conference in Harrisburg.

Dave Fogle

Visual Illusions Although the impossible triangle certainly looks possible at each corner, you will begin to notice a paradox when you view the triangle as a whole. The beams of the triangle simultaneously appear to recede and come toward you.

Craig Morgan

Math Humor to tickle your funny bone.

Shona Young

AskERIC on the Web for resources for education information - Or send your education question to: AskERIC@ericir.syr.edu

AT&T Learning Netowrk provides resources for teachers

KidsConnect on the web - the question-answering service for kids! (K-12 students)

http://www.ala.org/ICONN/kidsconn.html (teachers & parents) - Or send your questions by email to: AskKC@iconnect.syr.edu

ED's Oasis - treasure trove of teacher resources - directed by Terrie Gray, an AskLN mentor! - all linked sites have been reviewed/approved by teachers!

Teacher/Pathfinder - an educational Internet village: - educational resources for teachers and parents!

The Virtual Reference Desk (Ask An Expert Links):

LP Workshop Connections || General Links || Math in the News
Pi Day Activities || Participant Suggested Sites

Schedule for Saturday, March 7, 1998

Schedule for Sunday, March 8, 1998

DIMACS || Leadership Program || LP Home Pages || Math Forum

Created by Judy Ann Brown on Wednesday, March 4, 1998.