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2017WScover

Winter/Spring 2017

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In this issue, Katie A. Hendrickson (SouthEast Ohio MTC) shares how MTCs can affect teachers’ beliefs about themselves and about mathematics. Liza Cope (Mississippi Delta MTC) discovers that an MTC can extend the impact of a Math-Science Partnership grant. Plus: Kimberly Muller (Eastern Upper Peninsula MTC) and Tom Clark (Northwest Iowa MTC) find deep mathematics in two very different games.


sa2016cover

Summer/Autumn 2016

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This issue contains more math than ever, with write-ups of four intriguing new sessions from MTC leaders across the country. Matt Roscoe (Montana MTC) finds beautiful symmetries in quilt blocks, Michelle Manes (MTC Hawai’i) investigates an unusual lottery scam, and Nina White (Wayne County MTC) poses questions about tiling the plane. Plus, avid cyclist Michael Nakamaye (Albuquerque MTC) wonders if it’s possible to have a concrete physical experience of √2 when riding a bike.


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Page 2: Connecting a Growing Network

Page 4: Quilt While You're Ahead

  • Session materials:
  • Mira Math Geometry Tool

Page 8: Winning the Lottery

Page 11: Semiregular Tilings

Page 14: Shifting Gears

Page 16: News and Views

Page 19: Math Without Words


MTCircularWS2016cover

Winter/Spring 2016

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In “Good Beginnings,” Gulden Karakok describes creative ways of helping teachers make classroom connections. In “Two-Way Street,” the Northwest Iowa MTC leaders describe some of the ways that professors benefit, too. Between Heather Danforth’s “Piece of Cake” classroom lesson on fractions and decimals and the “Flipping Pancakes” featured session by Katie Haymaker, we hope this issue will leave you hungry for more mathematics.

Solve the “Burnt Pancakes” Problem Circle by January 31 for a chance to win a free copy of Jim Henle’s The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common, from Princeton University Press! Through February 14, you can also use code P06143 to receive 30% off your purchase of The Proof and the Pudding at press.princeton.edu.


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Page 4: Piece of Cake

Page 8: Good Beginnings

Page 10: Two-Way Street

Page 13: Dispatches from the Circles

  • Mississippi Delta MTC Facebook page
  • New York Math Circle website
    • 2015 Sloan Awards for Excellence in Teaching Science and Mathematics: PDF
  • Tulsa Math Teachers’ Circle website
    • Tulsa Girls’ Math Circle website
  • Metro Atlanta MTC website

Page 14: News and Views

  • Alibegovic, Taylor to Present at This Year’s MidSchoolMath National Conference
  • Grant from North Carolina GlaxoSmithKline Foundation will benefit North Carolina teachers
  • Documentary on Navajo Math Circles to Air on Public Television and at Joint Math Meetings

Page 16: In Session: Flipping Pancakes

Page 18: Problem Circle: Burnt Pancakes

Page 19: Math Without Words


MTCircular Winter Spring 2015 cover

Summer/Autumn 2015

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How do you bridge the language barrier between teachers and mathematicians? How do you sustain a MTC over the long term? How can you connect MTCs across the state? MTCs across the country share their insights. Plus, lots of math, including an appealing look at building integers with 1, 2, 3, and 4; an investigation of perfect rulers; and a puzzle from James Tanton’s “Math Without Words” series.

Solve the “Problem Circle” by September 28 for a chance to win a free copy of Marc Chamberland’s Single Digits: In Praise of Small Numbers, from Princeton University Press! Through September 30, you can also use code P06096 to receive 30 percent off your purchase of Single Digits at press.princeton.edu.


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Page 2: Parts of a Whole

Page 8: Modeling With Mathematics: Developing a Common Language

Page 6: Hamburgers and High Ceilings: Knowledge for Teaching and Learning

References:

  • Ball, D. L. & Bass, H. (2003). Toward a practice-based theory of mathematical knowledge for teaching. In B. Davis and E. Simmt (Eds.), Proc Ann Meeting of Canadian Math Ed St Group (2002) (pp. 3-14). Edmonton, AB: CMESG/GDEDM.
  • Ball, D.L., Hill, H., & Bass, H. (2005). Knowing Mathematics for Teaching. American Educator, Fall 2005, 14-22, 43-46.
  • Boaler, J. (2013 Nov 12). “The Stereotypes that Distort How Americans Teach and Learn Math.” The Atlantic. Retrieved on May 31, 2015.
  • Boaler, J. (2014 Jun 16). “Why Students In the US Need Common Core Math.” YouTube video. Stanford, CA: Stanford University. Retrieved on May 31, 2015.
  • Chapin, S., O’Conner, C. & Anderson, A. (2003). Classroom Discussions: Using Math Talk to Help Students Learn, Grades 1-6. Sausalito, CA: Math Solutions.
  • Doerr, H.M., Goldsmith, L.T., Lewis, C.C. (2010). Mathematics professional development (Research brief). Reston, VA: NCTM. Retrieved on January 7, 2015.
  • Green, E. (2014 Jul 23). “Why Do Americans Stink at Math?” New York Times Magazine. Retrieved on May 31, 2015.
  • Smith, M.S. & Stein, M.K. (1998). Selecting and Creating Mathematical Tasks: From Research to Practice. Mathematics Teaching in the Middle School, 3(5), 344-350.

Page 8: Banding Together: 430 Miles of Math in Nebraska

Page 9: Joining Forces in Ohio

  • Ohio statewide network of MTCs websites

Page 10: A Circle of Friends: Unlikely Partnerships for Success

Page 11: Plan, Deliver, Build Community: Three Keys to Sustainability

Page 12: One, Two, Three, Four: Building Numbers with Four Operations

Page 14: News and Views

Page 16: Measuring Up: 'Perfect' Rulers

  • Columbus MTC website
  • Perfect ruler online tool
  • Open-source Ruby code to compute the most efficient rulers of various lengths

Page 18: Problem Circle: Let Your Digits Do the Multiplying

Page 19: Math Without Words


MTCircular Spring 2015 cover

Winter/Spring 2015

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In this issue, we describe our new process for beginning MTCs and highlight some upcoming changes for new and existing Circles. Bob Klein and Steve Phelps describe a session on “Liar’s Bingo,” and Corinne Cristiani shares a delightful middle school lesson connected with her MTC experience. Plus, a special cryptography-themed Problem Circle with prizes donated by Princeton University Press!

Contact us for a special promotion code to receive 30 percent off Alan Turing: The Enigma, by Andrew Hodges courtesy of Princeton University Press. The promotion has now been extended through February 15, 2015.

Correction: There is a typo in the fraction in this issue’s Problem Circle (p. 17). As printed, the fifth digit of the numerator is missing. The correct numerator begins “146560” rather than “14650.” The rest of the problem is printed correctly.


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Page 5: Taking Root: Growing and Sustaining the Math Teachers’ Circle Network

Page 9: From the Circle to the Classroom: A Middle School Lesson Exploring Compositions

Page 13: Pizza, Pipe Cleaners, and Lucky Numbers: Math from the Circles

Page 15: News and Views

Page 17: Problem Circle: Enigmatic Pi

Page 18: In Session: Liar's Bingo


Summer 2014

Summer/Autumn 2014

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A national survey shows the scope of Math Teachers’ Circle impact. The thriving MTC of Hawai’i shares how it integrates mathematics, teaching, research, and technology to connect teachers across islands. Plus: a twist on a common math contest problem, and a look at Escher’s tilings.


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Page 4: The State of the Circles: National Survey Shows Scope of MTC Impact

  • Explore 26 new sessions (all marked with NEW!) on our Session Materials page.
  • For the most recent research on MTCs, please visit our Results page.

Page 10: Hitting New Heights in Hawai’i: Featured Circle Innovates to Overcome Obstacles

Page 14: News and Views

  • Advisory Board Member Richard Ruscyzk Honored with Paul Erdos Award
  • Fawn Nguyen Named Outstanding educator by Ventura County Math Council
  • Encouraging Mathematical Collaboration: AIM Partners with Julia Robinson Math Festival
    • Julia Robinson Mathematics Festival website
  • Dispatches from the Circles
    • Mobile MTC website; Alabama Math, Science, Technology Initiative (AMSTI) Professional Development Program website
    • Northern Colorado MTC website and Summer 2014 immersion workshop webpage
    • Fairfield County MTC website
    • Tulsa MTC website and Summer 2014 immersion workshop webpage

Page 18: In Session: Art Meets Math: Escher’s Tilings


Winter 2014

Winter 2014

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A look at three new MTCs who held immersion workshops in Summer 2013. Plus, running a MTC session as a research experience, new research on how MTCs affect teachers’ Mathematical Knowledge for Teaching, a puzzle edition of Problem Circle, and a look at the geometry of the card games Set and Socks.

Correction: On p. 15, the URL listed for the New Haven County Math Teachers’ Circle is incorrect. The correct URL is www.quinnipiac.edu/nhcmtc.


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Page 4: Best Foot Forward: Immersion Workshops Give New MTCs the Best Start Possible

Page 10: Ready for Exploration: MTC Participation as a Research Experience, and Game of Planet

  • AIM MTC paper on the mathematics of the card game Set and the Planet variation:
    • Baker, M., Beltran, J., Buell, J., Conrey, B., Davis, T., Donaldson, B., Detorre-Ozeki, J., Dibble, L., Freeman, T., Hammie, R., Montgomery, J., Pickford, A., & Wong, J. (2013). Sets, planets, & comets. The College Mathematics Journal, 44(4), 258-264.
  • MAA press release

Page 12: Learning Well, Teaching Well: Study Finds MTC Workshops Increase Mathematical Knowledge for Teaching

  • Hill, H. C., Ball, D. L., Blunk, M. Goffney, I. M. & Rowan, B. (2007). Validating the ecological assumption: The relationship of measure scores to classroom teaching and student learning. Measurement: Interdisciplinary Research and Perspectives (5), 2-3, 107-117.
  • White, D., Donaldson, B., Hodge, A., & Ruff, A. (2013). Examining the effects of Math Teachers’ Circles on aspects of teachers’ mathematical knowledge for teaching. International Journal for Mathematics Teaching and Learning. Published online September 26, 2013, at http://www.cimt.plymouth.ac.uk/journal/
  • For the most recent research on MTCs, please visit our Results page.

Page 14: News and Views

Page 14: Helpful Resources Now Available Online

Page 16: Problem Circle: Puzzle Edition

Page 18: In Session: Game, Set, Match


Summer 2013

Summer 2013

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The intersection of Math Teachers’ Circles with the Common Core State Standards. Plus, teaching colleagues who participate in Math Teachers’ Circles together, the ingredients of a great Math Teachers’ Circle session, and an exploration of function diagrams.


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Page 4: The Road Ahead: The View from the Intersection of Math Teachers’ Circles and the Common Core

Page 12: Escape from Teacher Island: Building Colleague Relationships Through MTC Participation

Page 16: News and Views

  • Math for America website
  • AIM MTC paper on the mathematics of the card game Set and the Planet variation:
    • Baker, M., Beltran, J., Buell, J., Conrey, B., Davis, T., Donaldson, B., Detorre-Ozeki, J., Dibble, L., Freeman, T., Hammie, R., Montgomery, J., Pickford, A., & Wong, J. (2013). Sets, planets, & comets. The College Mathematics Journal, 44(4), 258-264.
  • Math Teachers’ Circles summer workshops calendar

Page 17: Problem Circle: Frogs and Toads

Page 18: In Session: Function Diagrams

  •  New York Times Wordplay blog, Primes in Evenland
  • Math Education Page, Nine Function Diagrams
  • H. Picciotto, Math Education Page, Function Diagrams (Author’s note: See also the additional links at the bottom of the web page. The brief history and bibliography there cite many sources for these ideas. If i recall correctly, I first learned about function diagrams at a conference session led by a couple of teachers from the Illinois Math and Science Academy.)
  • Sixteen Function Diagrams from Algebra: Themes, Tools, Concepts by A. Wah and H. Picciotto, Math Education Page
  • Focus on Function Diagrams: Teacher Notes from Algebra: Themes, Tools, Concepts by A. Wah and H. Picciotto, Math Education Page


Winter 2013

Winter 2013

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How do successful Math Teachers’ Circles keep their members coming back? Plus, what makes a good problem, a participant’s perspective on a “How to Run a Math Teachers’ Circle” workshop, and a look at Ron Graham’s sequence.


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Page 8: The 'Good Problem' Problem

Page 12: Learning to Lead: Fawn Nguyen Offers Her Perspective on AIM’s 'How to Run a Math Teachers’ Circle' Workshop

Page 14: News and Views

  • Conference Board of the Mathematical Sciences website; the Mathematical Education of Teachers II (MET2) document. (Read Chapter 6, “High School Teachers,” for a recommendation of MTCs!)
  • World Sudoku Championship website
  • Math for America website
  • National Council of Teachers of Mathematics website
  • 2013 Joint Mathematics Meetings website

Page 17: Problem Circle: Simple, or Impossible?


Autumn 2012

Autumn 2012

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Being less helpful can be a good thing. Plus, a study of teacher networks, interviews with the Casco Bay MTC and teacher Horda Semdani of the North Louisiana MTC, and a session on compositions.


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Page 4: Be Less Helpful

Page 10: Five Cooks in the Kitchen: How the Casco Bay MTC Makes It Work with a Five-Person Leadership Team

Page 12: Poetry and Proportions: Five Questions for Horda Semdani of the North Louisiana MTC

Page 14: News and Views

Page 16: Problem Circle: Number Sum Triangles

Page 18: In Session: Compositions


Winter 2012

Winter 2012

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Ten ideas for funding your Math Teachers’ Circle. Plus, a mathematician’s perspective on leading a Math Teachers’ Circle session, profiles of the Twin Cities Math Teachers’ Circle and teacher Elizabeth Tarbutton of the Rocky Mountain Math Teachers’ Circle, and a look at “what is like a square.”


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Page 4: Adding It All Up: Ten Ideas for Funding Your Circle

Page 10: Something New: A Mathematician’s Perspective on Leading a Circle

Page 12: Featured Circle: Twin Cities MTC

  • Twin Cities MTC website
  • F. Morgan, E. R. Melnick, and R. Nicholson, “The Soap Bubble Geometry Contest.” From Mathematics Teacher, December 1997, Volume 90, Number 9, pages 746-750
  • ZomeTool Lesson Plans: Hands-on activities for students of Elementary Grades through High School

Page 14: Real Math at Work: Five Questions for Elizabeth Tarbutton of the Rocky Mountain MTC

Page 16: News and Views

Page 18: In Session: What Is Like a Square?

Page 19: Problem Circle: Number Bases


Summer 2011

Summer 2011

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Our inaugural issue! Math Teachers’ Circles inspire research on the mad veterinarian problem, interviews with the Lincoln Area Math Teachers’ Circle and teacher Susan Holtzapple of the AIM Math Teachers’ Circle, and a look at Tatiana Shubin’s “Grid Luck” session.


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Page 2: Featured MTC: The Lincoln Area Math Teachers’ Circle

Page 4: Problem Circle: Have Colors – Will Paint

Page 5: MTC of Austin Wins Outreach Award

Page 6: 'Leavitt' to the Mad Vet: MTC Session Inspires Research Connection

Page 7: Featured Teacher: Susan Holtzapple

Page 8: MTC Sessions: Grid Luck