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
Day 1 || Day 2 || Day 3 || Day 4 || Day 5
Day 6 || Day 7 || Day 8 || Day 9 || Day 10
Day 11 || Day 12 || Day 13 || Day 14

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

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

Board Notes
Day 4: day04boardnotes.pdf
Day 11: day11boardnotes.pdf

Resources
Eigenvectors and Eigenvalues Explained Visually by Victor Powell and Lewis Lehe

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Reflecting on Practice Class

Powerpoint
Unit 1
Session 1 [PDF] [PPTX]
Session 2 [PDF] [PPTX]
Session 3 [PDF] [PPTX]
Session 4 [PDF] [PPTX]

Unit 2
Session 1 [PDF] [PPTX]
Session 2 [PDF] [PPTX]
Session 3 [PDF] [PPTX]
Session 4 [PDF] [PPTX]

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

Resources
Unit 1
Day 2: Farmer Jack [DOCX]
Day 2: Triangle Problem [DOCX]
Day 2: A New Recipe: No More Cookbook Lessons [PDF] - requires generic login
Day 3: Solving Equations - Keychains [DOCX]
Day 3: Two Versions of the Same Task [DOCX]
Day 3: Open-ended Questions and the Process Standards [PDF] - requires generic login
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]
Day 8: Let's Talk: Promoting Mathematical Discourse in the Classroom [PDF] - requires generic login
Day 8: Solutions to Penny's Marble Problem [PDF]
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]
Summary Week 3 [DOCX] [PDF]

Photos and Notes
Three Rooms: Reflecting on Practice

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Afternoon and Evening Activities

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