Park City Mathematics Institute
Secondary School Teacher Program

Morning Shorts

[Jim] [Beverly] [Matt] [Carol] [JohnJim.2] [William] [Steve] [Henri] [Craig] [Megan]
[Jeff] [Joyce] [Gail] [Daniel] [Art] [Suzanne] [Gail2] [Art2

June 26 5-minute madness presentation - Jim King

Jim presented Alphabet Soup: download it as a PowerPoint presentation (1.3M) or a QuickTime movie (964k).

June 27 What is Fathom™? - Beverly Farahani

Beverly gave an overview of Fathom™ from Key Curriculum Press.

June 28 Unit Circle Clock - Matt Bracher


Matt explained how he built a unit circle clock -- and offered suggestions for how to improve it. Download the face of the radian clock as a Microsoft Word document (52k) or a PDF (20k).

He further reflected:

I'm sometimes asked why I don't have the clock face in degrees. I keep it in radians simply because they are the system with which the students are less familiar---and, hopefully, it can enhance their familiarity with fractions of Pi. Sometimes I exaggerate and tell them that, after Precalculus, they may never see a degree again.

In one class, a few days after we'd covered the unit circle with degrees, but not yet touched on radians, a student suddenly asked me if Pi divided by two was the same as ninety degrees. I was ecstatic at the connection.

And, of course, in the later classes, I have to take it down when we have tests or quizzes that involve trigonometry. But overall it's a conversation piece, a reinforcement of radians and the unit circle, and a passive learning tool the students see every day.

June 28 Tour - Carol Hattan

Carol gave a brief overview of the PCMI@MathForum site using the Getting Started page.

June 29 Writing Articles for NCTM Publications - John Mahoney

John encouraged participants to write articles for NCTM publications and present at NCTM conferences and/or other conferences based on their work at PCMI. He started with Sean Barker's article "Calculator Demonstrations of Bell Curve Convergence using Polynomial Algebra" in the Spring, 2005 issue of ON-Math, based on the work that he did at PCMI in the summer of 2004 and then talked about his own article "Fill 'n Pour" in the 2006 issue of ON-Math, based on the work he did in the Discrete Math group in the summer of 2004.

June 29 Credit - Jim King

Jim King explained to the group the availability of six credit hours of a 400 level course from the University of Washington. These are "credit/no credit" hours. The paperwork will arrive next week. A participant should check with their university to see if the credit will be accepted for their particular graduate program.

June 30 Sharing Documents - William Thill

Download Microsoft Word documents of William's Going the distance (open ended problem with multiple solution methods; 44k); Quadratic Relationships #1 (open ended with multiple solutions; 40k); and Quadratic Relationships #2 (open-ended with multiple methods, more challenging version, 36k).

July 3 Cabri 3-D - Steve Phelps

From the Cincinatti E-table, Steve Phelps presented an overview of the software, Cabri 3-D. Besides the site given in the PDF, an evaluation version is available for download here and it is cataloged in Math Tools at the Math Forum.

July 5 A Geometry-Graphing Connection - Henri Picciotto

Henri presented information on connecting the graphs of quadratics in the form y = x2 + bx + c to the representation of the polynomial with manipulatives. The file in PDF format includes a student worksheet and teacher notes for this activity.

July 6 Scavenger Hunt - Craig Morgan

Craig presented his Scavenger Hunt.

July 6 Survey - Megan Taylor

Megan explained her survey to the participants.

What question, if you had the answer to, would change the teaching and learning of mathematics in your classroom?
Or, more generally,
What question, if you had the answer to, would positively affect math education as a whole?

Goals of Survey:

  1. Identify what teachers believe math education researchers should be examining.
  2. Identify any patterns that may exist in the questions teachers need answers to.
  3. Find out if the research teachers think should be done in math education is actually being done.

July 7 TI Smartview - Jeff Willets

TI-Smartview is a TI-84 that is represented on your computer. You can use the mouse to push the buttons, or with a Smartboard it becomes a touch screen. If you can project your computer using a projector or large monitor, students can see exactly what buttons you are pushing while you are using it. It has a split screen which will show the calculator on one side and either an enlargement of the screen on the other, or a keypress history. You can do screen captures of all of these and paste them into documents. You can also plug your calculator into your computer and control it that way as well. For more information, go to

July 10 Dissection Models - Joyce Frost

Joyce will explain how this evening's activities starting at 7:00 will work. She'll also show An Amazing, Space Filling, Non-regular Tetrahedron.

July 11 Reflections on Bob Moses Cross Program - Gail Burrill

Gail discussed with the participants the main points of Bob Moses Cross Program held yesterday.

July 11 Teaching Math w/ Applets - Daniel Heath

Daniel Heath will present applets that are available worldwide via the Internet, and were developed individually for demonstrating math concepts.

July 12 Math Tools - Art Mabbott

Art gave a tour of Math Tools, an online community library at the Math Forum.

July 12 Beta-testing the Projects - Suzanne Alejandre

Suzanne encouraged participants to use the Draft Projects page to look for products from this summer to try in their classes. Also pointed out that they might look for projects with or that align with one of their classes. Use the Discussions to post how things went with the lesson, etc.

July 13 Assessment: A Different Perspective - Gail Burrill

Gail presented a different perspective of assessment using this PowerPoint (web) which can be downloaded also.

July 14 A+ Compass - Art Mabbott

Art demonstrated the A+ Compass.

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© 2001 - 2018 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 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 DMS-0940733 and DMS-1441467. 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.