Park City Mathematics Institute
Secondary School Teacher Program

Morning Shorts

[Jim] [Carol] [Cal] [Ben] [Art] [Megan] [Steve] [Janet] [Cal2] [Kymberly] [Kim]
[Andrew] [Jim2] [John] [Suzanne] [Karen] [Kelley] [Mark] [Cal3] [Nicole]

July 7 5-minute madness presentation - Jim King

Jim presented Alphabet Soup.

July 8 Tour - Carol Hattan

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

July 9 Google Earth - Cal Armstrong

Cal showed Google Earth, which Richard Stewart showed last year for his circles, arcs & sectors unit, can also be used for three-dimensional geometry and several examples were shown. These examples were a lead-in to using screencasts for instruction using Google Earth and the TIs.
The previous examples were a way to introduce a discussion of writing for ON-Math (the NCTM's online journal).

July 9 The Mathematics Teacher - Ben Sinwell

Ben is on the board of The Mathematics Teacher. He encouraged participants to submit articles for publication in that journal.

July 10 Picnic Geometry - Art Mabbott

Art showed: Weekend Projects - Picnic Geometry - a cool project that can be done on the cheap.

July 11 How to Make a $50 Smartboard - Megan Taylor

Megan showed a 5-minute video of a clip from the TED conference where a guy makes, right then and there, a smartboard using a Wii remote. Amazing! Inspired by this, teachers and techies have posted tons of youtube videos about their adaptations of the idea.

July 14 GeoGebra - Steve Phelps

Steve talked about GeoGebra using this GeoGebra Wiki.

July 15 The Matharena - Janet Meyer

This rhyme, turned song & dance, helps students remember how to multiply fractions.

The Matharena (to the tune & with actions similar to The Macarena)

Multiplying fractions -
    That's no problem!
    Top times top,
    And bottom times bottom.

Multiplying fractions -
    That's no problem!
    Oh, Matharena!

July 15 Wiimote - Cal Armstrong

Cal presented the results of our afternoon building activity where we created a Wiimote. This was a follow up to the $50 Smartboard.

July 17 Math Notebooks - Kymberly Riggins

Math Notebooks are a tool to strengthen student learning of curriculum through increased student participation. They are used in class daily to help the student learn and keep track of their learning. This style of notebook uses both the right and left-brain hemispheres to help sort, categorize and be creative with the newly attained knowledge. The right side of the spiral notebook is for writing down information given by the teacher (notes, vocabulary, forumulas, examples, etc). The left side of the spiral shows the understanding and references the information from the right side through self worked examples, reflections, drawings/figures, completed assignments, etc.). The benefits for the student are endless because the students are more organized and can easily access their work and notes.
    Interactive Math Notebooks (I.M.N.): [view HTML] [download PPT]

July 18 The Factor Game - Kim Wollard

The factor game is ideal for getting students excited about studying prime and composite numbers. It is designed to get students to use logic and reasoning to win by out scoring their opponent in finding factors of the digits two to thirty. It is one of the first activities in the 6th grade CMP2 unit called Prime Time. A simple, yet thought provoking way to learn more about multiplication, division, factors, products and relating division to finding factors. To play, the board consists of the numbers 1 - 30. Partners take turns circling digits in different colors, then their opponent circles all the proper factors of that number. Players get the points for all the numbers circled in their color. It is a good idea to play for fun, then analyze the game for winning strategies.

July 18 Google SketchUp - Andrew Shaw

Google SketchUp is a free software tool which enables users to easily create 3d diagrams and illustrations. While SketchUp is not designed for mathematical work, it does have some clear applications in our teaching. Students can learn to use it quickly and can then create a variety of solids, including pyramids, prisms, cones, spheres, etc. Once the models are constructed, users can rotate, move, and "walk through" their newly-created 3d world.

July 18 University of Washington Credit - James King

Jim explained the UW credit and referred to this UW Credit FAQ and these documents:
    PDF: Student Fact Sheet for a Course with Onsite Registration
    University Credit for PCMI 2008

July 21 11th International Congress on Mathematics Education - John Mahoney

John Mahoney and Gail Burrill attended the 11th International Congress on Mathematics Education in Mexico earlier this month. John will present a 5-minute short describing the conference on Monday and will tell us what, for him, were the highlights. He showed this PowerPoint ICME-11.htm.

July 21 Staying Connected - Suzanne Alejandre

Suzanne will briefly highlight the connections between the Math Forum community and the PCMI@MathForum community. She will demonstrate how to use both to work toward achieving the three goals of the Secondary School Teachers Program. She will encourage ongoing use of her Staying Connected web page.

July 22 Education in Namibia - Karen D Emiljo

Karen will talk about education in Namibia. She showed this PowerPoint [view HTML] [download PPT]

July 23 Portfolio Night - Kelley Butler

Kelley talked about the Portfolio Night that she does at her school.
Files provided:
    Parent Questionnaire: [download MS Word] [view PDF]
    Portfolio Night Score Sheet: [download MS Word] [view PDF]
    Portfolio Nights with Interactive Mathematics: [download PowerPoint] [view HTML]

July 24 Distance Fields - Mark Sawula

Many calculus teachers are familiar with the use of slope fields to visualize solutions to differential equations. In this Geometer's Sketchpad file [27.8 MB], we look at distance fields to visualize angle bisectors, perpendicular bisectors, incenters, circumcenters, and parabolas. A distance field assigns values to each point in a plane (or space) based upon its distance to some object or set of points. They are sometimes used in computer graphics-a Google search on 'distance fields' yields 57 million results!

July 24 Cheap & Easy Tech Steps - Cal Armstrong

Quick tips on increasing communication between teachers, students and parents using blogs & wikis.
Blogs in Your Classroom: [view HTML] [download PPT || PPTX]

July 25 PCMI Discussions - Nicole Bannister & Suzanne Alejandre

Nicole will encourage participants to use the PCMI Discussions. Suzanne will review how to post and answer any questions.

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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

With major funding from Math for America

With generous support from Robert and Lynn Johnston