2005-2006 Participant Outreach Activities

To build a core group of users for the PCMI @ Math Forum resources, participants of the 2005 High School Teacher Program have offered/will offer the following workshops.

Submit Outreach Activities || Outreach Activities Index Page

[Sep - Oct, 2005]  [Nov - Dec, 2005]  [Jan - Feb, 2006]
[Mar - Apr, 2006]  [May - Jun, 2006]  [Jul - Aug, 2006]

Geometer's Sketchpad - Geometry and beyond - Bethel Schools, WA
Date: June 23, 2005
Presenter: Art Mabbott
Description: An introductory workshop for middle and high school math teahcers on the use of GSP as a tool for teaching and learning in math classes from 1st year Algebra through Geometry and beyond all the way to Calculus.
Puget Sound Council of Teachers of Mathematics President - Seattle, Washington
Date: June 2005 - June 2007
Presenter: Joyce Frost
Description: Served as President of PSCTM which included facilating 3 evening dinners and a summer barbeque each year, and ran monthly board member dinners.
Curriculum writing - Toronto, Ontario, Canada
Date:July, 2005
Presenter: Beverly Farahani
Description:Farahani and other members of the grade 11 & 12 college and workplace writing team for the Ontario ministry of education, consistedof three community college instructors and three high school teachers was asked to look at the current grade 11 & 12 college and workplace courses. They rewrote the courses to provide a more continuous flow as well as make sure the courses would be appropriate prerequisites for the community colleges.
Ontario Provincial Writing Team for TIPS4RM - Haliburton, Ontaraio
Date:July 1, 2005
Presenter: Beverly Farahani
Description:Targeted Implementation and Planning Supports for Revised Mathematics (TIPS4RM) offers ways of thinking about mathematics education, connects to current research, and includes grade-level support materials for those working with students in Grades 7 to 10. A team was assembled to write new activities to be used in grade 7 - 10 classrooms in Ontario. I was a member of the grade 10 Applied writing team.
Teaching Geometry in Schools - University of Cincinnati, OH
Date:Weeks of July 18 and July 25, 2005
Presenter: Steve Phelps
Description: This graduate level class is for pre-service and practicing middle school teachers. Participants learn to use different tools (geoboards, tangrams, GSP) in ways that support the Ohio Content Standards in Mathematics.
NWMI Summer Geomtry Institute and Mini Courses - University of Washington
Date:July 31 - August 5, 2005
Presenters: Art Mabbott, Joe Frost, Joyce Frost, Carol Hattan, Brian Hopkins, James King, Kris Koch, Philip Mallinson
Description: The eleventh NWMI Summer Geometry Institute is an amazing week of immersion in geometry. A variety of topics are investigated using a wide spectrum of active and hands-on approaches, from paper-folding and polyhedral models to Geometer's Sketchpad.
eSMILES workshop - Springfield, OH
Date: Week of August 1, 2005
Presenter: Steve Phelps
Description: eSMILES (enhancing Science and Mathematics Instruction and Learning with Electronic Support) is a week-long workshop designed to:
  • Increase student achievement in math and science
  • Analyze and improve areas of poor student performance for the OGT (Ohio Graduation Test
  • Discover new ways to teach difficult standards
  • Use peer-reviewed resources from the Ohio Resource Center
  • Further your own content knowledge
  • Become part of an electronic learning community
Building Learning Communities/Collaborating for Success - Oxnard Union High School District, CA
Date: August 15-19, 2005
Presenters: Jerry Neidenbach, Jeri Philbrick, Terrie Romines, Jim Short, Laura Taylor
Description: This summer institute supported by a grant from the National Science Foundation focused on
  • Working effectively with other mathematics teachers
  • Learning from colleagues
  • Planning collaboratively to foster student learning
  • Using data and brain research to inform instruction
Initial Use for 6th grade Math Leaders - Teaching in a new way - Puyallup Schools, WA
Date: August 23-25, 2005
Presenter: Art Mabbott
Description: Thinking and doing mathematics in a new and different way. Hands-on experinece with the first year of the Connected Mathematics Project.
2005 Pólya Award - MathFest 2005
Date: August 2005
Description: Brian Hopkins and Robin Wilson were given the 2005 Pólya Award for expository mathematics for their article "The Truth About Königsberg" that appeared in the College Mathematics Journal v. 35, May 2004, pp. 198-207.


ComMuniCator - California Mathematics Council (CMC) journal
Date: September, 2005
Author: Megan Taylor
Description: Megan's article, "One Definition of Differentiation," has been published in the September issue of CMC's journal. She shares a definition of and thoughts about differentiating instruction including her experiences at Summit Prep High School in Redwood City, California.
Ontario Ministry of Education curriculum writing team - Toronto, Ontario, Canada
Date: September, 2005
Author:Beverly Farahani
Description:A team consisting of two community college instructors and two high school teachers were asked to return to the Ministry of Education to complete the final drafts of the proposed provincial curriculum changes to grade 11 & 12 college and workplace courses.
Ontario Ministry of Education Feedback Panel for Changes to Grade 11 & 12 Provincial Mathematics Curriculum - Toronto, Ontario, Canada
Date: October, 2005
Presenter: Beverly Farahani
Description:The Ontario Ministry of Education invited all boards of education, faculties of education, colleges, teacher federations and the Ontario Association for Mathematics Education to send a representative to hear about the proposed changes to the grade 11 & 12 mathematics curriculum. Farahani represented the Ontario Association for Mathematics Education. The group was then given one month to give the Ministry of Education feedback on the proposed changes.
What is the Name of This Game? - Mathematics Teaching in the Middle School
Date: October 1, 2005
Author: John F. Mahoney
Description: This article focuses on an apparently simple game -- and many of its variations -- for middle and high school students.
Chebyshev Polynomials: Patterns and Derivation - NCTM Regional Meeting, Hartford, CT
Date: October 8, 2005
Presenter: Benjamin Sinwell
Tetrahedron Kites and the mathematics embedded - Portland, OR
Date: October 14, 2005
Presenter: Art Mabbott
Description:Building tetrahedron kites and exploring the mathematics (ratios of length to area to volume, sequences and series, and more) that you can find within.
A Picture is Worth A Thousand Words, But That's only 2-D! - Portland, OR
Date: October 16, 2005
Presenter: Joyce Frost
Description:Participants built 3-D Space Tesselating hinged puzzles, while learning how to bring out the underlying geometry concepts that students need to understand and do Geometry.
Tricky Trig at Quinte St. Lawerence Mathematics Association - Kingston, Ontario, Canada
Date:November, 2005
Presenter:Beverly Farahani
Description: Tricky Trig involves a variety of calculator, calculator based lab and ranger activities that could be used to teach trigonometry.
Programming, Remediation & Intervention for Students in Mathematics (PRISM) - Toronto, Ontario, Canada
Date:November, 2005
Presenter:Beverly Farahani
Description: All school districts in Ontario and Ontario universities with Faculties of Education sent a team of 5 people to the PRISM conference sponsered by the ministry of education. I was a memeber of the Limestone District school board team which consisted of 3 teachers from elementary school and 2 eachers from high school. Current mathematics research being done in Alberta and Ontario was presented.
Ontario Ministry of Education Feedback Panel for Changes to Grade 11 & 12 Provincial Mathematics Curriculum - Toronto, Ontario, Canada
Date:November, 2005
Presenter:Beverly Farahani
Description: The Ontario Ministry of Education asked all of the representatives from the boards of education, faculties of education, colleges, teacher federations and the Ontario Association for Mathematics Education that had been sent the previous month to hear about the proposed changes to the grade 11 & 12 mathematics curriculum to return to Toronto to hear the feedback that was submitted. The major issues were the lack of differential calculus in the proposed changes and the loss of the personal finance course from the grade 11 offerrings.
Fill 'n Pour - ON-Math (NCTM's Online Journal of School Mathematics)
Date: Fall, 2005
Author: John F. Mahoney
Description:Through pouring and filling a 5 ounce and an 8 ounce container, could you produce exactly one ounce of liquid? What other quantities could be produced? This article is based on work done in the discrete math/ combinatorics 2004 working group.
Testimonial of the effectiveness of student centered instruction - New Mexico
Date: Fall, 2005
Author: Greg Allison
Description:Testimonial of the effectiveness of student centered instruction stating the positive gains in national test scores from using this type of curriculum teaching at an under achieving, predominantly Hispanic high school in El Paso, TX.


Tetrahedron Kites and the mathematics embedded - Denver, CO (Regional NCTM Conference)
Date: November 10, 2005
Presenter: Art Mabbott
Description: Building tetrahedron kites and exploring the mathematics (ratios of length to area to volume, sequences and series, and more) that you can find within.
Supported Mary Andrews with piloting the Algebra II CME text - New Mexico
Date: November 19, 2005
Presenter: Susana Salamanca-Riba
Description:Teachers were offered the opportunity to observe a lesson on November 13, 2005 at the NMSU Mathematics Success Center in the Intermediate Algebra classroom of Greg Allison.
NWMI Fall Workshop -John Stanford Center for Educational Excellence, Seattle, WA
Date: November 19, 2005
Presenters: Art Mabbott, Joyce Frost, Lynn Adsit, Joyce Frost and Joe Frost, Renee Wageman, Karen Hall, and Jim King
Description: The program includes Vertical Teaming Through Powerful Problems; Prime Numbers; Geometry Jeopardy; and News and Information from OSPI.
Notorious and Named Primes - Seattle, WA
Date: November 19, 2005
Presenters: Joyce Frost and Joseph Frost
Description:Applications and Activities to use for a variety of grade levels involving prime numbers. This presentation was the result of a "roast" that Art Mabbott, Joe and Joyce Frost put on for Royal Penewell to honor him for his many years of service as Treasurer for the Puget Sound Council of Teachers of Mathematics. We created a new prime number definition and logo in his honor.
Counting Catalans - Triangulating Polygons - Palm Springs (CMC South), Asilomar (CMC North)
Date: November 19, 2005
Presenter: Peter Herreshoff
Description:Presented a version of the curriculum written at PCMI. Enumerated and counted a variety of sets (triangulated polygons, chords of circle, nested parentheses, votes, rooted binary trees). Found some bijections between sets. Used lattice points to find and then prove a formula for the Catalan numbers. Also used this unit in an Analysis Honors classes (three sections last year) and, with a colleague, four sections this year. Presented to PCMI local group in November.


Text Training - Vancouver School District
Date: 2006-2008 (ongoing)
Presenters: Carol Hattan
Description: Professional developement leaders for SIMMS 1 annd 2. Use of technology including Sketchpad, Fathom and the TI-84 to enhance a standards based text.
Teaching Contemporary Mathematics Conference - North Carolina School of Science and Mathematics
Date: January 2006
Presenters: Allen Martin
Description: Age Structured Population Models: We will examine linear models that allow us to gain insight into how populations with distinct age groups, or developmental stages, can behave. These models utilize elementary matrix algebra at a level appropriate for a Precalculus course. The models will include those of Leslie and Usher.
Using Geometer's Sketchpad in the Classroom - Lake Washington S.D. Resource Center
Date: February 15 and March 6, 2006
Presenters:Joyce Frost and Gini Stimpson
Description: I presented my top 10 reasons why "I love Sketchpad" to showcase its many uses. We then went through activities geared towards Algebra, Geometry, Advanced Algebra, Pre-Calculus, and Calculus.
Using Powerful Problems in the Classroom
Date: February 25, 2006
Presenters:Art Mabbott, Joyce Frost, Karen Hall
Description: Our Winter Northwest Mathematics Interaction Workshop was centered around creating and using powerful problems in the classroom. Art presented the problem of creating the largest possible cylinder from an 8 1/2 by 11 paper with constant area. Joyce shared a few geometry problems from the Mathematics Teacher Article showcasing problems from Phillips Exeter Academy. Karen Hall showed us to how to create and modify problems to make them especially powerful.


LACTMA conference - Los Angeles, CA
Date:March 24-25, 2006
Presenter: Peg Cagle
Description: Speaker chair for the Los Angeles City Teachers of Mathematics annual conference and Texas Instruments regional conference.
Modeling Projectile Motion with Parametric Equations and Geometer's Sketchpad Consortium for Mathematics Education Enhancement (CMEE) Conference - Salt Lake City, Utah
Dates: April, 2006
Presenters: Troy Jones
Description: We will collect projectile data with a tape measure and a radar gun, and then find a mathematical model using parametric equations, a TI-84, and Geometer's Sketchpad
Imagine Math - Harvey Mudd College
Date: April 22, 2006
Presenter: Darryl Yong
Description: About 100 high school students and teachers from the greater Los Angeles area came to HMC to participate in a day of mathematical discovery, open-ended exploration and inquiry in graph theory and in particular, graph complexity. At the end of this free event, students learned about graphs and developed their measure of graph complexity.
Date: April 24, 2006
Honoree:Peg Cagle
Description:Selected as a Raytheon "math hero" based on instilling a love of math in her students.
Building Teacher Pedagogic Content Knowledge Through Problem Solving - NCSM Annual Meeting in St. Louis
Date: April 24, 2006
Presenter: Suzanne Alejandre
Description:Problem solving is a rich context for professional development that strengthens teachers' pedagogic content knowledge and provides a vehicle for integrating teacher learning into classroom practices. In this session we will examine examples of work done with the Math Forum @ Drexel in its problem solving service.
An Educator and a Mathematician Cooperate on Professional Development - NCSM Annual Meeting in St. Louis
Date: April 24, 2006
Presenter: Ted Stanford
Description:Stanford and Wanda B. Guzman are a research mathematician and a professional development specialist. We have been collaborating on a series of workshops for middle school teachers. We will discuss our different points of view and how they have led to successful collaboration, and we will also share some of the workshop materials.
Is Japanese Lesson Study Effective? How Can the Impact of Lesson Study Be Measured? - NCSM Annual Meeting in St. Louis
Date: April 25, 2006
Presenters: Ruth Anne Hodges, Debbie Ferry, LuAnn Murray, Betty Bowman
Exploring One Teacher's Experiences with Reform-Based Mathematics - NCSM Annual Meeting in St. Louis
Date: April 25, 2006
Presenter: Nicole Davis
Assessing Problem Solving Using Constructed-Response Problems - NCSM Annual Meeting in St. Louis
Date: April 26, 2006
Presenter: Annie Fetter
Description:Online problem solving using constructed-response problems can develop students' deep understanding while giving teachers unique insights into their evolving understanding. We will explore problem solving and assessment techniques developed at the Math Forum that are easily integrated into the classroom to supplement and enhance existing curricula.
Teaching the Turnarounds: Collective Responsibility for Students' Learning - NCTM Annual Meeting in St. Louis
Date: April 26, 2006
Presenter:Ilana Horn
Adventures on the Hyperbolic Plane - NCTM Annual Meeting in St. Louis
Date: April 27, 2006
Presenter: Peg Cagle
Where's the Math? Assessing Geometry through Space-Tessellating Shapes - NCTM Annual Meeting in St. Louis
Date: April 27, 2006
Presenter: Joyce Frost
Description: From paper folding the nets, to building fascinating hinged puzzles, mathematics allows it all to happen. We shared the many mathematical concepts involved and using the puzzles to assess understanding of these concepts.
Corn, Boats and Trees; Mathematical Tasks that Teach Mathematics - NCTM Annual Meeting in St. Louis
Date: April 28, 2006
Presenter: Gail Burrill
Technology Enhances Problem Solving and Assessment - NCTM Annual Meeting in St. Louis
Date: April 28, 2006
Presenter: Suzanne Alejandre
Description:Participants explore technology problems (tPoWs) modeled after the Math Forum's Problems of the Week - paper/pencil activities enhanced by concrete and virtual manipulatives (Java applet, JavaSketchpad, Flash, Fathom, spreadsheets, etc.). We'll discuss how the tPoW process helps students learn to write mathematics and supports problem-solving assessment for both students and teachers.
Assessing Problem Solving and Writing With Constructed Response Problems - NCTM Annual Meeting in St. Louis
Date: April 28, 2006
Presenter: Annie Fetter
Description:Constructed response problems give unique insight into students' mathematical understanding. A rubric that addresses problem solving and communication also provides structure for assessing student work and driving instruction. We'll work with submissions to the Math Forum's Problems of the Week, discuss scaffolding of student problem solving, and design instructional responses.
Algebra I in Middle School? Not All Students Are Ready For It! - NCTM Annual Meeting in St. Louis
Date: April 28, 2006
Presenter: John F. Mahoney
Description:What happens to students who take Algebra 1 before they are ready for it? Do they pursue, and are they successful in, more advanced mathematics courses? Current research on this topic will be summarized. Video clips of inteviews with students and teachers will be shown, and alternatives will be presented. Most of the video was shot at PCMI in July thanks to many participants who volunteered to be interviewed.
To Develop a Lesson Plan for Lesson Study - NCTM Annual Meeting in St. Louis
Date: April 29, 2006
Presenter: Akihiko Takahashi
The Geometry of Round Spheres and Flat Maps - NCTM Annual Meeting in St. Louis
Date: April 29, 2006
Presenter: James R. King
Polynomials, Probability, and CAS - NCTM Annual Meeting in St. Louis
Date: April 29, 2006
Presenter: Steve Phelps
Lesson Study Cycle - New Mexico State University and Las Cruces High School
Date: Spring, 2006
Presenter: Susana Salamanca-Riba
Description: A Lesson Study cycle at Las Cruces High School during the spring semester. Teachers are in the process of writing a final report, and will be presenting their results at the next lesson study mini-conference.


Presidential Award for Excellence in Mathematics and Science Teaching - Washington, D.C.
Date: May 1-6, 2006
Honoree: Peg Cagle
Description:Recipient of the 2006 Presidential award for the state of California.
Lemelson-MIT InvenTeam grant - Massachusetts Institute of Technology
Date: June, 2006
Presenter: John F. Mahoney
Description:Our club has received a $10,000 grant from the Lemelson-MIT InvenTeam program to develop and prototype our invention: a cell-phone locker.


Critical Site Visit Team to Southwest Pennsylvania MSP - Pittsburgh, PA
Date: July 25-28, 2006
Presenters: Peg Cagle
Description: Participated as a member of an evaluation team to an NSF-funded Math/Science Partnership grant site.
Northwest Math Interaction - Seattle, WA
Date: July 31 - August 1, 2006
Presenters: Peg Cagle and Philip Mallinson
Description: Geometry Other than Euclid's- a two-day mini-course looking at geometry on both positively and negatively curved surfaces.
Washington Mathematics Case Study Project - University of Washington
Date: August 1-5, 2006
Presenters: Jim King and Art Mabbott
Description: The 2nd WMCSP Summer Institute continues work on proportional reasoning, and expands it by looking through the Geometric Sense window.

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