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Teacher Leadership Program
Class Notes - Summer 2017

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Supporting Teachers as Leaders
    Geometry
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        Getting Started: Strategies
        Developing Inquiry
        Choose Your Own Adventure
    Social Justice in Mathematics
    Statistics
Lesson Study
Research Course-Random Matrices

International Seminar
2017: Roster, PowerPoint, Photos

Summer Math Camp
Overview
2017: Roster, Schedule, Photos

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Morning Announcements
Contact List
Portrait Photos
E-mail Addresses [2001-2017]

Forms, Templates, Guidelines

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Morning Shorts 8:15-8:30 morning presentations

[Math Content Class] [Reflecting on Practice] [Afternoon and Evening Activities]

Math Content Class - Bowen Kerins and Darryl Yong

The Math Course is being led by Bowen Kerins and Darryl Yong. The focus of the class this year is "Recursion and Matrices."

Many sequences of numbers can be described recursively. Probably the most famous of these is the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8,.... In this course, participants will explore these recursive sequences and develop tools for analyzing them. The development of these tools will take participants into a deep dive into the study of matrices and their many applications.

What happens when you multiply matrices repeatedly and how does that connect to recursive sequences of numbers? The course will investigate questions like these, tying them to the precollege mathematics curriculum. No prior background is necessary; the contexts and methods developed in the course will be low-threshold, high-ceiling, with plenty of interesting mathematics for any grade level.

Problem Sets
small green diamond Day 1 || Day 2 || Day 3 || Day 4 || Day 5
small green diamond Day 6 || Day 7 || Day 8 || Day 9 || Day 10
small green diamond Day 11 || Day 12 || Day 13 || Day 14

Observations
small green diamond Day 2: Table 5's work [JPG]
small green diamond Day 7: Abigail's observation [JPG]
small green diamond Day 7: Vince's organization of coin stacks [PDF]
small green diamond Day 8: Angelina's work 1 [JPG]
small green diamond Day 8: Angelina's work 2 [JPG]
small green diamond Day 8: Sunny's idea [JPG]
small green diamond Day 10: Brooke's parallelogram area [JPG]
small green diamond Day 10: Hemang's parallelogram area [JPG]

Reflections
small green diamond Day 5: Table 5's reflections [JPG]
small green diamond Day 5 Reflections [PDF]

Board Notes
small green diamond Day 4: day04boardnotes.pdf
small green diamond Day 11: day11boardnotes.pdf

Resources
small green diamond Eigenvectors and Eigenvalues Explained Visually by Victor Powell and Lewis Lehe

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Reflecting on Practice Class

Powerpoint
Unit 1
small green diamond Session 1 [PDF] [PPTX]
small green diamond Session 2 [PDF] [PPTX]
small green diamond Session 3 [PDF] [PPTX]
small green diamond Session 4 [PDF] [PPTX]

Unit 2
small green diamond Session 1 [PDF] [PPTX]
small green diamond Session 2 [PDF] [PPTX]
small green diamond Session 3 [PDF] [PPTX]
small green diamond Session 4 [PDF] [PPTX]

Unit 3
small green diamond Session 1 [PDF] [PPTX]
small green diamond Session 2 [PDF] [PPTX]
small green diamond Session 3 [PDF] [PPTX]
small green diamond Session 4 [PDF] [PPTX]
small green diamond RoP Summary [PDF] [PPTX]

Resources
Unit 1
small green diamond Day 2: Farmer Jack [DOCX]
small green diamond Day 2: Triangle Problem [DOCX]
small green diamond Day 2: A New Recipe: No More Cookbook Lessons [PDF] - requires generic login
small green diamond Day 3: Solving Equations - Keychains [DOCX]
small green diamond Day 3: Two Versions of the Same Task [DOCX]
small green diamond Day 3: Open-ended Questions and the Process Standards [PDF] - requires generic login
small green diamond Summary Week 1 [DOCX] [PDF]

Unit 2
Liljedahl: Building Thinking Classrooms: Conditions for Problem Solving [PDF]
Day 5: Liljedahl: Building a Thinking Classroom Handout [PDF]
Day 5: Liljedahl: Motivation and Methodology Handout [PDF]
Day 6: Two Classroom Scenarios Handout [DOCX]
Inquiry Quotes [PPTX] [PDF]
Day 7: 8 Teaching Habits that Block Productive Struggle in Math Students [DOCX]
Day 7: Questioning Scenarios Handout [DOCX]
Day 7: Question Prompts and Stems to Support Mathematical Discourse [DOCX]
Day 7: Principles to Actions Productive Struggle [PDF]
Day 7: Staircase transcript fixed [DOCX]
small green diamond Day 8: Let's Talk: Promoting Mathematical Discourse in the Classroom [PDF] - requires generic login
small green diamond Day 8: Solutions to Penny's Marble Problem [PDF]
small green diamond Summary Week 2 [DOCX] [PDF]

Unit 3
Day 9: Yong: Adventures in Teaching: A Professor Goes to High School to Learn about Teaching Math [PDF]
Day 9: Four Classroom Vignettes [DOCX]
Day 9: TRU Framework [PDF]
Day 9: The Five Dimensions of TRU [PDF]
Day 9: Summary Rubric [PDF]
Day 10: Margin of Error when Estimating a Population Proportion [PDF] [DOCX]
Day 11: Which One Doesn't Belong Handout [PDF] [DOCX]
Day 12: Deborah Ball Lesson Plan Worksheet [PDF]
Day 12: Exponent Problems [DOCX]
Day 12: TRU Observation Access and Agency [PDF]
small green diamond Summary Week 3 [DOCX] [PDF]

Photos and Notes
Three Rooms: Reflecting on Practice

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Afternoon and Evening Activities

Friday, June 30: Math Teachers' Circles - Chris Bolognese
Friday, June 30: Parade Planning
Tuesday, July 4: 4th of July Parade videos & photos
Wednesday, July 5: Cross Program: Robert Q. Berry, III
Wednesday, July 5: Hidden Figures
Thursday, July 6: Mathematical Modeling - Dan Teague
Thursday, July 6: Shared Practices I
Thursday, July 11: Shared Practices II
Tuesday, July 11: Math Teachers' Circles II - Chris Bolognese

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© 2001 - 2017 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 major funding from Math for America

With generous support from Robert and Lynn Johnston