Park City Mathematics Institute
Teacher Leadership Program
Summer 2015
Shared Practices: Tuesday, July 14

2015 Index Page
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    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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PCMI Event Showcase

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OneNote Online Pages

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Forms, Templates, Guidelines

Also view:
Shared Practices: Thursday, July 9, 2015
Shared Practices: Thursday, July 10, 2014
Shared Practices: Tuesday, July 15, 2014
Shared Practices: July 9, 2013
Shared Practices: July 16, 2013

Barb Lynch organized a second evening event to provide TLP participants with a forum to share and learn about interesting and creative things that people do in their classrooms.

NOTE: all downloads require the generic login

Click on photo to view larger.
Dylan Joseph Bob

Dylan Kane
What is the MathTwitterBlogoSphere, and how can it help you teach a little bit better?
     download Dylan's file: [PDF]

Joseph Herbert
Irrationals on the Number Line
This project gives students an intuitive and tangible sense of irrational numbers and how they fit into the number line that students already know and love. Students precisely construct various irrational numbers and place them concretely on the number line. This project can be modified for any level - I have used it in both Algebra 1 and Precalculus. Furthermore, because of its concrete nature, I have often found that students who struggle in math really understand and enjoy this project.
     download Joseph's file: [PDF]

Bob Janes
Mathematics and Music
There are many strong connections to be made between mathematics and music. In this presentation, we will focus on three key aspects. First, we will look at sound as a sine wave and discuss how complex sounds are created through function addition. Next, we will discuss how various musical scales possess both rational and irrational qualities. Finally, we will explore how composers can use musical translations to create variations on a theme. All three aspects can be adapted to fit any mathematics classroom, especially one that exists within a music, arts, or physics themed environment.
     download Bob's file: [PPTX] [PDF]

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Alexandria Cary Chris/Matt

Alexandria Chanysheva
Misconceptions In Similarity
Students often don't recognize the difference between similar shapes in Geometry and the shapes that look "similar". My goal as a teacher was to replace the informal definition of "same shape, different size" with a definition of similarity that is based on transformations and can be applied to all geometric shapes. A non-routine problem solving was used to help students clear their misconceptions.
     download Alexandria's PowerPoint file: [PPTX] [PDF]

Cary Riina
3D Printing in the classroom
In this presentation, the topic of discussion will be how to integrate 3D printing into standard high school curricula. In exploring this topic I will talk briefly about the basics of 3D printing, give suggestions about when and how 3D printing can be integrated into a high school curriculum, and discuss some possible obstacles to incorporating 3D printing and possible solutions to tackling these obstacles.
     download Cary's file: [PDF]

Chris Watts and Matt Engle
Extending polynomials via Exploding Dots
     download their file: [PPTX] [PDF]

Click on image to view larger.

Chris Bolognese
Problem Posing
Problem posing is a method in taking an old problem and reformulating it into a new problem. Problem posing has many benefits in the classroom and is a primary lens into student thinking.
     download Chris's file: [PDF]

Irene Espiritu [NOTE: Irene presented on July 17 during the Morning Shorts]
Straws and Connectors
These materials offer a variety of mathematical learning benefits as well as benefits for developing social learning skills. The use of these materials accommodate visual and kinesthetic learners.
     download Irene's file: [PPTX] [PDF]


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