2004-2005 Participant Outreach Activities

To build a core group of users for the PCMI @ Math Forum resources, participants of the 2004 High School Teacher Program have offered/will offer the following workshops.

Submit Outreach Activities || Outreach Activities Index Page

[Jul - Aug]  [Sep - Oct]  [Nov - Dec]  [Jan - Feb]  [Mar - Apr]  [May - Jun]

Mathematics Teacher - NCTM journal
Date: August, 2004
Author: Benjamin Sinwell
Description: The Chebyshev Polynomials: Patterns and Derivation was published in the August, 2004 issue. This article shows a derivation of the Chebyshev polynomials and explores mathematically the patterns that they produce. The range of topics covered is relevant to the high school classroom and beyond.
Assessment Utah State Office of Education (USOE) Summer Inservice Workshop - Brigham City, Utah
Dates: August, 2004
Presenters: Troy Jones and Beverly Safeley
Description: Techniques and resources to improve student assessment.
NorthWest Mathematics Interaction - University of Washington, Seattle
Dates: August 8 - 13, 2003
Presenters: Jim King, Carol Hattan, Joyce Frost, Brian Hopkins, Will & Ronda Webber, Carol Haid, Kris Koch, Art Mabbott, Philip Mallinson, George Thornton
Description: The Tenth NWMI Summer Program had the highest enrollment ever, with 75 teachers enrolled in one or more parts of the program supported by a staff of 16 high school and college teachers. Teachers are encouraged to stay on campus, especially for those courses with evening components. An important new aspect of the NWMI Summer Program in 2004 was the partnership with Seattle Public Schools and the PCMI PD3 project. This resulted in over 40 Seattle Public School teachers attending the various programs. More information about the NWMI Summer Program 2004, with details about the courses, a list of staff, etc., can be found on the NWMI website.
On the board of the Washington State Math Council
Date: October 2004 - October 2007
Presenter: Joyce Frost
Description: Attended fall retreats as well as board meetings and participated in conference calls.
46th Northwest Mathematics Conference - Kirkland, Washington
Date: October 2004 - October 2007
Presenter: Joyce Frost
Description: I was Tri-chair for conference with Art Mabbott and Joe Frost and Program chair for conference as well. This conference expects 2500 participants from Washington, Oregon, and British Columbia. This included monthly planning meetings with numerous sub committees. As chair of the program committee, I helped select and recruit over 200 speakers and coordinated the production of the program booklet.
Geometry and the Divine Proportion Pacific Northwest Association of Independent Schools (PNAIS) Annual Conference - Portland, Oregon
Dates: October, 2004
Presenters: Troy Jones and Tom Brennan
Description: Connections between the Golden Ratio and the Fibonacci Sequence.
"Cuatro," A Cartesian Coordinate Game - UCTM Conference at Jordan High School
Date: October 9, 2004
Presenter: Tony Anderson
Description: I taught about 20 teachers how to play a game that I invented and have used for years with my Pre-Algebra students. One of the district math specialists who missed my session later e-mailed me for material and instructions. She said she would use my game as part of an inservice for teachers in her district. Being in a PCMI outreach group gave me the push I needed to share my idea with others.
USA Today: Teacher Team
Date: October 13, 2004
Winner: John Mahoney
Description: John is one of the 20 members of the 2004 All-USA Teacher Team selected to represent all outstanding teachers.
Benjamin Banneker's Mathematics, in His Own Handwriting! - Baltimore, MD (NCTM Eastern Regional Conference)
Date: October 14, 2004
Presenter: John Mahoney
Description: Benjamin Banneker, a self-taught African American mathematician who lived near Baltimore, kept a journal containing a number of mathematical puzzles and other examples of mathematics. With the aid of computer enhancement, Banneker's writing will be presented along with explanations of the ingenious mathematical techniques he used.
Mathematics Tools: Finding and Using Technology Tools in the Classroom - Baltimore, MD (NCTM Eastern Regional Conference)
Date: October 16, 2004
Presenters: Suzanne Alejandre & Annie Fetter
Description: This presentation will assist teachers in finding and using quality technology tools for teaching mathematics effectively. We will present insights gained from developing resources and facilitating teachers' participation in the Math Tools digital library. Platforms: computer, graphing calculator, PDA, and more.
Mathematics Teacher - NCTM journal
Date: October, 2004
Author: John F. Mahoney
Description: How Many Votes are Needed to Be Elected President was published in the October, 2004 issue. This cover article illustrates an example of mathematical modeling to design a scheme to determine how many popular votes are needed to be elected president.
New Mexico State University Professional Development and Outreach - Mathematical Sciences Department, NMSU
Date: October 28, 2004
Presenters: Katherine Kanim, Susana Salamanca
Description: Dr. Susana Salamanca and Katherine Kanim presented a colloquium on PCMI and the NMSU PDO. We discussed our past experiences at PCMI, described the PCMI program showed a clip of the Provo Lesson in July 2004, and introduced our emerging New Mexico PDO group. This well attended event sparked a variety of questions about lesson study and our experiences in the area high schools. The faculty in the Mathematical Sciences department responded very favorably to this colloquium and has shown interest in being involved.
NWMI Fall Workshop - John Stanford Center for Educational Excellence, Seattle, WA
Date: October 28, 2004
Presenters: Art Mabbott, Jim King, Joyce Frost, Kelley Butler, Ginny Burton, and Marta Trimble
Description:The program includes Trains and Counting from the Park City Mathematics Institute, The Puzzle Joe Said Was Impossible, and "Things I learned at NW Math Conference": Origami Frame Structures; Another Way to Look at Systems of Linear Equations; Exploring Sierpinski's Triangle; and Paper Folding Regular and Irregular Polygons Reference: Geo Paperpolygons - Exploring 2D Shapes through Paper Folding.


Information About PCMI - Rice University RUSMP (Alum)
Date: November 3, 2004
Presenter: Nick Salvatore and John Polking
Description: Overview of the PCMI summer program and how it supplements and/or compliments professional development to help teachers become more effective in the classroom.
The Math Forum @ Drexel's Problems of the Week - Palm Springs, CA (CMC-South Conference)
Date: November 5, 2004
Presenter: Suzanne Alejandre
Description: Online problem solving and mentoring opens opportunities for student success and professional education. Explore use of Problems of the Week with a standards-based curriculum.
Connections Are The Key! - Palm Springs, CA (CMC-South Conference)
Date: November 5, 2004
Presenter: Kyle Barriger
Description: Research shows that students retain new ideas by making connections. This session will make critical connections linking geometry with algebra, matrices, and complex numbers.
Tetrahedron Kites and The Mathematics Within Them - Palm Springs, CA (CMC-South Conference)
Date: November 5, 2004
Presenter: Art Mabbott
Description: Build tetrahedron kites and discover the triangular and tetrahedron numbers that are embedded within them. We will use finite differences to find their equations.
Putting The Pieces Together: Modular Origami and Polyhedra - Palm Springs, CA (CMC-South Conference)
Date: November 6, 2004
Presenter: Peg Cagle
Description: Examine the underlying structure and interrelations of polyhedra using a variety of captivating modular paper-folded models.
Create Overachievers; Maximize Expectations - Palm Springs, CA (CMC-South Conference)
Date: November 6, 2004
Presenter: Alice Elstien
Description: Motivate students with a believable challenge. Then give them world class problems and ample time and reassurance. Session will focus on finding suitable problems.
When Is F(X)=(AX+B)/(CX+D) Periodic Under Iteration? - Palm Springs, CA (CMC-South Conference)
Date: November 6, 2004
Presenter: Peter Herreshoff
Description: We analyze the results of calculator experiments using ideas from algebra (factoring, complex numbers, composition), geometry (transformations), and matrix algebra.
Triggy Tricks Kingston, Canada
Date: November 9, 2004
Presenter: Beverly Farahani
Description: A variety of activities that can be used in your trigonometry class.
Theoretical versus Experimental Probability of Summing Two Die - Albuquerque, NM
Date: November 10-12, 2004
Presenters: Phil Grossklaus, Carla Zecca, Dusty Barley and Hector Hernandez. Teachers from Onate High School in Las Cruces, NM
Description: The NMSU PDO along with the MC2 grant and both school districts contributed funding for our PDO members to attend the conference. The Onate Lesson Study Team presented at both the Lesson Study Conference and the NMMS Conference. They talked about their experience trying Lesson Study to design their lesson in Probability, showed clips of their lesson, and provided two final versions of the lesson.
Curious Connections between Cyclic Quadrilaterals and Triangle Centers - Teachers Teaching with Technology Regional Conference, Cleveland, OH
Date: November 12, 2004
Presenter: Steve Phelps
Description: Participants were introduced to connections between quadrilaterals inscribed in a circle and triangle centers such as the centroid, the incenter, the nine-point center, and the symmedian point.
Lesson planning meeting - Gadsden High School, Anthony, NM
Date: November 30 and December 7, 2004
Presenters: Susana Salamanca
Description:These have been just informal meetings to discuss goals choose them and plan the firstlesson that the teachers want to design for the spring semester.


Mathematics Teacher - NCTM journal
Date: February, 2005
Author: John F. Mahoney
Description: Benjamin Banneker and the Law of Sines will be published in the February, 2005 issue. This article shows how to use Banneker's own handwriting of his mathematics with students. Banneker, in the author's opinion, practiced the Law of Sines using a triangle he was familiar with. He used logs of trig functions to compute the missing parts of the triangle.

Computer Algebra Systems in our Schools: Some Axioms and Some Examples - T3 International Conference, Washington DC
Date: Friday, March 18, 2005
Presenter: John F. Mahoney
Description: This talk will focus on developments on the use of CAS since the publication of NCTM's November, 2002 focus issue on this topic and the 2003 publication of NCTM's book on this topic. It will include feedback from the 10th International Conference on Mathematics Education which was held in Copenhagen in 2004.
Curious Connections Between Cyclic Quadrilaterals and Triangle Centers - T3 International Conference, Washington DC
Date: Friday, March 18, 2005
Author: Steve Phelps
Description: This is a talk about the relationships between triangle centers and cyclic quadrilaterals. We will also discuss special lines in cyclic quadrilaterals (Euler line, Simpson Line, Cantor line), and special centers in a cyclic quadrilateral (anticenter, nine-point center, Cantor point).
NWMI Spring Workshop - Whatcom Community College
Date: Saturday, March 19, 2005
Author: Ronda and Will Webber, Mike Naylor, Seth Bundy, and Connie Savoie
Description: The program includes Curves, A Design Unit for Pre-Calculus; Using Physical Models and Graphing Calculators to Calculate Volumes of Solids of Revolution; Abacaba-Dabacaba; Introducing the 4th dimension; and Folding with a Staple.
Quick-Graphing Parabolas - Ohio Journal of School Mathematics
Date: Spring Edition, 2005
Author: Steve Phelps
Description: This article shares a method I developed for quickly graphing parabolas that is strikingly similar to the method for graphing linear equations (slope-triangle). The quick-graphing method is based on the patterns in the sequence of squares (0,1,4,9,16,25,...), is easy to remember, and easy to execute.
Damped Assumptions Consortium for Mathematics Education Enhancement (CMEE) Conference - Salt Lake City, Utah
Dates: April 15, 2005
Presenters: Troy Jones and Ray Barton
Description: False assumptions we make when modeling damped harmonic motion. Examples with Geometer's Sketchpad and TI-Interactive.
Shadows, Salt, and Automobile Logos Consortium for Mathematics Education Enhancement (CMEE) Conference - Salt Lake City, Utah
Dates: April 16, 2005
Presenters: Troy Jones
Description: Finding the conic sections in shadows, piles of salt, and automobile logos.

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IAS/Park City Mathematics Institute is an outreach program of the School of Mathematics
at the Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540

Send questions or comments to: Suzanne Alejandre and Jim King

With program support provided by Math for America

This material is based upon work supported by the National Science Foundation under Grant No. 0314808.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.