PCMI octagonal graphic Park City Mathematics Institute
Summer School Teachers Program
Class Notes - Summer 2014

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Morning Shorts 8:15-8:30 morning presentations

[Math Content Class] [Reflecting on Practice] [Working Groups] [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 "Fractions, tilings, and geometry."

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

small green diamond Full week format: Weeks 1, 2, and 3

Resources/Handouts
small green diamond Day 3: Allowable Kite and Dart Combos [PDF format]
small green diamond Day 3: kitedart-sheet-dots [color] [PDF format]
small green diamond Day 3: kitedart-sheet-dots [for bw printers] [PDF format]
small green diamond Day 4: big-star-sun [PDF format]
small green diamond Day 4: big-sun-explainer [PDF format]
small green diamond Day 4: YouTube: Animated Penrose Tiling [part 1] [part 2] by Maurizio Paolini and Alessandro Musesti, Department of Mathematics and Physics, Catholic University, Brescia, Italy
small green diamond Day 6: day06-rectanglechopping [PDF format]
small green diamond Donald in Mathmagic Land [original] [clip on YouTube]
small green diamond Day 7: mastergrid37animation.gif [gif]
small green diamond Day 8: kitedart-sheet-ammann-color [color] [PDF format]
small green diamond Day 8: kitedart-sheet-ammann-for-bw-printers [for bw printers] [PDF format]
small green diamond Day 9: day09-closing-remarks [PDF format]
small green diamond Day 10: largepenrose1.png [png]
small green diamond Day 10: day10-handout [PDF format]
small green diamond Day 11: archimedes-sphere-volume-proof [gif]
small green diamond Day 11: exploding-cube [gif]
small green diamond Day 13: day13-cartwheel-with-voronoi [PDF format]
small green diamond Day 14: day14-snub-square-tiling [PDF format]

Participants' Notes and Work
small green diamond Day 1: Student 1 || Student 2 || Student 3 || Student 4 || Collection of Student Work [jpeg]
small green diamond Day 2: Student 1 || Collection of Student Work [jpeg]
small green diamond Day 3: Student 1 || Student 2 || Collection of Student Work [jpeg]
small green diamond Day 4: Participant Reflections [PDF]
small green diamond Day 5: Student 1 || Student 2 || Student 3 || Student 4 || Student 5 || Student 6 || Student 7 [jpeg]
small green diamond Day 6: Student 1 || Student 2 [jpeg]
small green diamond Day 7: Student 1 || Student 2 || Student 3 || Student 4 || Student 5 || Student 6 [jpeg]
small green diamond Day 9: Participant Reflections [PDF]
small green diamond Day 10: Student 1 || Student 2 [jpeg]
small green diamond Day 11: Student 1 || Student 2 || Student 3 || Student 4 || Student 5 || Student 6 || Student 7 || Student 8 || Student 9 [jpeg]
small green diamond Day 12: Student 1 || Student 2 || Student 3 || Student 4 || Student 5 || Student 6 || Student 7 || Student 8 [jpeg]
small green diamond Day 13: Student 1 || Student 2 || Student 3 [jpeg]
small green diamond Day 13: Participant Reflections [PDF]

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Reflecting on Practice Class

Powerpoint
Week 1
Day 1 [PDF] || Day 2 [PDF] || Day 3 [PDF] || Day 4 [PDF]
Week 2
Day 5 [PDF] || Day 6 [PDF] || Day 7 [PDF] || Day 8 [PDF] || Day 9 [PDF]
Week 3
Day 10 What Do You Think and Why? Ilana Horn, Vanderbilt University
Day 11 [PDF] || Day 12 [PDF] || Day 13 [PDF] || Day 14 [PDF]

Articles/Activities [generic login required]
Towards an Empirically Grounded Theory of Action for Improving the Quality of Mathematics Teaching at Scale by Paul Cobb and Kara Jackson [PDF]
PCMI 2014 tasks [PDF]

Photos and Notes
Three Rooms: Reflecting on Practice
Day 4: Levels of Math Discussion [.docx] [PDF]
Days 1-14: Managing Productive Discussions Activities 2014 [.docx] [PDF]

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Working Groups

Day 1
Working Groups SSTP/PCMI 2014 [PDF]

Afternoon and Evening Activities

Clay Lecture: L. Mahadevan
Bill McCallum, Illustrative Mathematics and University of Arizona
Cross Program Activity: The True Story of the Quasicrystal
Diane Briars, President of NCTM
Conversation with L. Mahadevan
Preparation: 4th of July Parade: Photos by Jim
4th of July Parade: Photos by Monica and Jim
Cross Program Activity: Mathematics to Sculpture: George Hart
80th Annual Ute Stampede Rodeo July 11, 2014 Nephi, Utah
Shared Practices: Thursday, July 10
Shared Practices: Tuesday, July 15
Building Party: Folding Cubes: Ashli Black

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