## Math Ed Said

**July 15**: Christopher Danielson announced his new book, "Which One Doesn't Belong?" will be available on August 15th.

*Shared by: Christopher Danielson, Janice Novakowski, Kassia Wedekind, Gregory Taylor, Tracy Johnston Zager, Bridget Dunbar, Geoff Krall, Nat Banting, Malke Rosenfeld, Amie Albrecht, Dan Anderson, Allison Hintz, John Burk, WODB? Math, Crystal Lancour*

**July 16**: Tina Palmer shared a post called "What I Learned at Twitter Math Camp Today (and it had nothing to do with math)." As the title says, it's not about math, but it is a passionate reflection about relative safety and the communities we can create for each other.

*Shared by: Tina Palmer, Audrey McLaren, Meg Craig, Sara VanDerWerf, Nick Yates, Heather Kohn, James Cleveland, Nicole Bridge*

**July 17**: Fellow Coloradan Lisa Bejarano Accountable Talk / Sentence Starters shared slides with prompts designed to support high-quality classroom discourse.

*Shared by: Lisa Bejarano, Julie Reulbach, Anna Blinstein, Brian Lawler, Ed Campos Jr, Kaitie O'Bryan, Nolan Doyle*

**July 18**: There was a tie between six different posts shared five times each, but the only math-focused on with new content was "10,000 Kicks: Practice in the Mathematics Classroom," an NCTM

*Mathematics Teacher*blog post written by Tim Hickey, a high school math teacher from Virginia. The post struck a nerve with some, as the math community is hardly unified when it comes to the issue of worksheets and practice. NCTM's choice to publish and promote this is an example of the growing pains I think we'll see as they try to give more voice to their members and those members do not all agree.

*Shared by: Robert Cop, NCTM, Kate Fisher, NCTM - MT, Bryan Meyer*

**July 19**: David Butler teaches us about the Lunes of Alhazen in "David Butler and the Prisoner of Alhazen," a bit of very cool equal-area geometry discovered about a thousand years ago.

*Shared by: David Butler, Tracy Johnston Zager, Shelby Aaberg, Judy Keeney, Amie Albrecht, Eddi Vulić, Bridget Dunbar, Megan Schmidt, Martin Joyce*

**July 20**: Jose Vilson blogged about his choice to give a keynote at TMC16. The post, "Twitter Math Camp and the Convergence of The Work," has video of the keynote and rationalizes reasons for bringing math and social justice issues together in the keynote.

*Shared by: Jose Vilson, Lisa Bejarano, Joe Schwartz, Megan Schmidt, Malke Rosenfeld, Wendy Menard, Jami D Packer, Alison Hansel, Mike Thayer, Julie Wright, Nicole Bridge*

**July 21**: Julie Reulbach does us all a favor and gives us links and tips to "Experience (or Re-live) #TMC16, Virtually."

*Shared by: Julie Reulbach, Casey McCormick, Heather Kohn, Kate Nowak, Sadie Estrella, Jami D. Packer, Judy Larsen*

## Research Notes

The September 2016 issue of*Educational Studies in Mathematics*is out:

- Kindergarten teachers' orchestration of mathematical activities afforded by technology: agency and mediation by Martin Carlsen, Ingvald Erfjord, Per Sigurd Hundeland, and John Monaghan, University of Agder
- Identity research in mathematics education by Lisa Darragh, Universidad de Chile
- A dilemma that underlies an existence proof in geometry by Carmen Samper, Patricia Perry, and Leonor Camargo, Universidad Pedagógica Nacional; Adalira Sáenz-Ludlow, University of North Carolina at Charlotte; and Óscar Molina, Universidad Pedagógica Nacional
- Teachers' professional practice conducting mathematical discussions by João Pedro da Ponte and Marisa Quaresma, Universidade de Lisboa
- Transfer of solutions to conditional probability problems: effects of example problem format, solution format, and problem context by Alan F. Chow and James P. Van Haneghan, University of South Alabama
- Growing-making mathematics: a dynamic perspective on people, materials, and movement in classrooms by Wolff-Michael Roth, University of Victoria
- Moving beyond a traditional algorithm in whole number subtraction: Preservice teachers' responses to a student's invented strategy by Ji-Won Son, University at Buffalo – The State University of New York

*The Journal of Mathematical Behavior*:

- Folding back, thickening and mathematical met-befores by Lyndon C. Martin, York University, and Jo Towers, University of Calgary
- A curious case of superscript (−1): Prospective secondary mathematics teachers explain by Rina Zazkis, Simon Fraser University, and Igor' Kontorovich, The University of Auckland
- The unit circle approach to the construction of the sine and cosine functions and their inverses: An application of APOS theory by Rafael Martínez-Planell and Angel Cruz Delgado, University of Puerto Rico at Mayagüez
- Playing number board games supports 5-year-old children's early mathematical development by Jessica Elofsson, Stefan Gustafson, Joakim Samuelsson, and Ulf Träff, Linköping University