Park City Mathematics Institute
Teacher Leadership Program

Morning Shorts

[Carol] [Gail] [Carol, Monica, Phiola, Samantha] [Jim] [Monica] [Chris] [Ben] [Gail] [Brian] [Fred] [Ashli] [Chris]
[Nick] [Jennifer] [Suzanne] [Matt, Bob, Samantha, Alice] [Nancy] [Ben] [Aurora] [Cal] [Monica] [Andrew] [Irene]

2015 Index Page
2015 Photos
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Getting Started
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Working Groups
Algebraic Geometry
Geometry Course
Lesson Study
PD Development
    Alternative Assessments
    Differentiate This
    Effective Formative Assessments
    Growth Mindset
    Let's Talk about Math
    Looking Ahead in Algebra
    Mathematical Practice Standard 3
    Middle School Progressions
    MP7 in 8
    Problem Based Learning (Part 1)
    Problem Based Learning Coalescing
    Ready, Set, PBL!
    Taking Time to Talk
    Using Project Based Assessement
    Writing and Mathematics
TLP Live: A PCMI online community
Weekend Course Development

Summer Math Camp
2015: Roster, Schedule, Photos

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Morning Announcements
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E-mail Addresses [2001-2015]

Forms, Templates, Guidelines

June 30 Tour - Carol Hattan

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

July 2 ICME-13 in 2016 - Gail Burrill

An awesome opportunity for summer 2016 after PCMI - the Thirteenth International Congress on Mathematics Education in Hamburg Germany. Visit the online travel grant application page to submit and to see the selection criteria.

July 2 Teacher Inquiry Projects - Carol Kinney, Monica Ferraro, Phiola McFarlane, and Samantha O'Connor

Presentation of our brief 1 minute "intros" using 4 quick slides of our teacher inquiry projects done in the spring. Using google slides and a timer, we provide a tantalizing look at both evolving inquiry about our classrooms and a tool for speedy summaries of student projects.
View PowerPoint file: [PPTX] [PDF]

July 2 University of Washington Credit Process - Jim King

PCMI participants can sign up for 6 quarter credits of Math 497 from the University of Washington. Jim King explained the University of Washington credit process. Information can be found here: [PDF] ||

July 3 Visual Chart - Monica Tienda

I made a chart that shows the 8 CCSM in mathematical practice, the 8 mathematical teaching & learning practices, as well as a few other math concepts (see my chart). I needed a visual to see and compare all of these lists!
View file: [PDF]

July 3 Math Teacher Circles - Chris Bolognese

What is a math teacher circle? How can you get involved in a math teacher circle? What are some types of problems that we explore in circles? We will quickly look at these questions and give you some resources about how you can get involved.

July 6 Why Square? - Gail Burrill

Gail showed us why statisticians use squaring in standard deviation rather than absolute value.
Download her file: [PDF] [PPTX]

July 6 Brief Lesson Opener - Ben Allen

Am I reading your mind? Is it a magic trick? Using a series of *seemingly* unrelated operations, I guide students through a sequence of steps that brings them back to a number that they started with. Although at first students will be baffled by this activity, once they are encouraged to walk through the operations starting with a variable rather than a number, familiarity with polynomial operations will show students that they are simply taking steps followed by the inverse operations, bringing them back to where they had started.

July 7 Teachers and the MAA - Brian Hopkins

Brian described some classroom resources available from the Mathematics Association of America. Download his file: [PDF]

July 8 NCTM - Fred Dillon

Fred was Skyped in with a presentation on NCTM. Download his file: [PPT] [PDF]

July 9 Fabric Folding - Ashli Black

While many of us have seen paper folding and the shapes it brings to life, another avenue for folding involves the interplay between fabric, creases, and light. This morning I'll show some examples of this type of folding, pioneered by Chris K. Palmer, and some of the options folks will have during the evening building party this week if they want to make their own.
      Art Mabbott's Tetrahedron Kite Activity
      Origami and Polyhedra Party with links to MS Word files

July 9 Connecting Geometric Patterns and Algebraic Expressions - Chris Bolognese

A great framework to bridge geometric patterns and algebraic expressions is to have students analyze shape patterns. But where can you find tasks worthy of exploration? Some go-to sites to bookmark are NRICH mathematics, Visual Patterns, and the Math Assessment Project.

July 10 Poll Everywhere - Nick Molnar

Nick presented information about some polling software, Poll Everywhere. It can be used for a variety of situations, including as an entry or exit ticket or in-lesson formative assessment. Students can quickly respond in an anonymous fashion across devices--phone, wifi enabled tablet, or computer. It works well for multi-choice, T/F, and open-ended responses. You can queue up questions to proceed to multiple problems in order.

July 13 Accountable Talk Cards - Jennifer Parker

In my classroom I developed a series of sentence starter cards for students to have a more focused discussion. Each student is given a ring of cards. The cards are used after students have either worked individually or worked in groups on a task. There are both red cards and green cards. In general the green cards signal moving the discussion on to a new idea and the red cards signal pausing and thinking about concepts longer. These cards provided the students with an engaging way to have a whole class discussion.
      Classroom Photo
      Green Cards
      Red Cards

July 13 PCMI@MathForum - Suzanne Alejandre

Suzanne gave a quick update on the status of the Math Forum. She also responded to participants' questions about the PCMI@MathForum site.

July 14 Illustrating Statistical Tasks - Matt Engle and Bob Janes

We are looking at illustrating statistical tasks that can be created using information gathered from your student body via our own analysis of some data we will take from PCMI participants. Download their file: [PDF] [PPTX]

July 14 g(math) - Nancy Buck

Nancy showed how you can insert graphs, histograms, and box plots into a Google doc very easily.

July 15 Permutation groups and an intro to representation theory - Ben Hyman

The research topic this year is "geometry of moduli spaces and representation theory." What does that mean? Though I won't talk about moduli spaces, I'm hoping to motivate what representation theory entails.
View PowerPoint file: [PPTX] [PDF]

July 15 SolveMe Puzzles - Mobile Puzzles - Aurora Alamillo and Bowen Kerins

Aurora and Bowen presented about puzzles from EDC: SolveMe Puzzles.
View PowerPoint file: [PPTX] [PDF]

July 16 Swivl Camera - Cal Armstrong

When I was a participant back in '02 the focus during Reflecting on Practice was on becoming a reflective math teacher using the book "Becoming a Reflective Mathematics Teacher." I decided to record my classes to really get an idea of what my students experienced; I just put a videocamera on a stand at the back of the room and hit the red button. The video didn't always follow the flow of the class and the audio was often poor but the feedback changed my craft considerably. Technology has come a long way - and now we use a Swivl [] that provides a wireless mic and records on an iPad or smartphone. Recordings are quick, clear, audible and private. And great for capturing lectures & presentations, too.

July 16 Resources for At Risk Students - Monica Tienda

Monica shared the resources that the At Risk group gathered to share with the visiting teachers from Monument Valley High School in Kayenta, Arizona.
View file: [PDF]
View PowerPoint file: [PPTX] [PDF]

July 16 Geo Aerobics - Andrew Giang

This is an interactive activity that allow students to practice their understanding of visual representation and symbolic representations in formal Geometry in a fun way. I have created aerobic poses and moves that associate with each geometric symbol/object. Students will perform the move and also say the name of the object at the same time according to the timer on the powerpoint.
View files: geoaerobicsFastpart1: [PPTX] [PDF]
geoaerobicsintroMFApart1: [PPTX] [PDF]

July 17 Straws and Connectors - Irene Espiritu

Originally scheduled for Thursday's Shared Practices, Irene presented the use of materials to help develop mathematical and social learning skills as well as accommodate different types of learners. [files linked from Shared Practices, 2]

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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.
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With major funding from Math for America

With generous support from Robert and Lynn Johnston