This Week in Math Ed: June 17, 2016

Math Ed Said

June 10: With one of the most purely geeky things to appear in TWiME, a number of people shared "41 triple pendulums with very slightly different initial conditions." In animated GIF form, no less.

Shared by: Dan Anderson, michiexile, Evelyn Lamb, Kent Haines, Josh Fisher, Jed Butler, Eddi Vulić, Amie Albrecht

June 11: This year-old NYT post got passed around last Saturday: "The Problem With Math Problems: We're Solving Them Wrong." It includes advice from Tracy Zager and Steven Strogatz.

Shared by: Earl Samuelson, Susan Davidson, OCTM, Steve Phelps, Bridget Soumeillan, Robert Cop

June 12: Following the shooting in Orlando, a number of people on my MathEd Twitter list were sharing the Vox post, "Mass shootings since Sandy Hook, in one map."

Shared by: Matthew Haden, Justin Leroux, Karen King, Ματτ, Chi Klein

June 13: Andrew Stadel created and shared a Desmos activity called, "Visual Patterns Tribute," inspired by Fawn Nguyen's

Shared by: Andrew Stadel, Imtiaz Damji, Ed Campos Jr, Bridget Dunbar, Andrew Gael, Sara VanDerWerf, Shauna Hedgepeth, Jennifer Lawler, MathDDSB,, Greg George

June 14: The first mention of Hacker's Math Myth was on February 7 and I've lost track of how many times this topic has resurfaced in TWiME. This time, it's A.K. Whitney's "Why Andrew Hacker Is Wrong About 'The Math Myth'" in The Atlantic. Whitney concludes by saying, "I fear this debate will just rage for another 100 years," which is what I'm feeling, too.

Shared by: Dave Richeson, Matthew Oldridge, Kasi C. Allen, James Tanton, AMATYC, Nathaniel Highstein, Denise Gaskins, Brian Marks, Annie Forest, Genni Steele, April Pforts, Steph Gunning, Rebecca Afghani

June 15: "Numbers are just empty vessels into which we pour our meanings, and they always overflow," says Ben Orlin in "50 Killed, or 49?."

Shared by: Ilona Vashchyshyn, Meg Craig, Ben Orlin, James Cleveland, Anne Schwartz, Andy Shores, Jonathan Edmonds

June 16: Dan Meyer wrote "Your GPS Is Making You Dumber, and What That Means for Teaching," which spurred resharing on Twitter and a lot of comments on the post itself. My amazement: All this talk of two approaches to learning math and a navigation metaphor and not a mention of Skemp's analogy to be found.

Bonus read: Mattie B's "Saying something."

Shared by: Nancy Terry, Dan Meyer, Bridget Dunbar, Mark Chubb, Greg George, Taylor Belcher, Pamela Rawson, Andy Shores, Julie Reulbach, Jim Wysocki

Around the Math Ed Web

It turns out there wasn't a Global Math Department talk last week, but Sara Van Der Werf is scheduled to talk about "The Pursuit of 100% Engagement: Practical ideas to get you closer" on Tuesday the 21st.

We're still waiting to hear about NCTM Research Conference proposals, but you can submit for RUME until August 19 (or December 2 for posters).

Research Notes

It was an unusually slow week on the research front, but here's an article about Common Core and developing instructional capacity that just appeared in AERA Open:
  • From the Inside In by Jonathan Supovitz, Ryan Fink, and Bobbi Newman, University of Pennsylvania

Math Ed in the News

Deborah Ball at the 2015 NCTM Annual Meeting

Math Ed in Colorado

I'm off to do three days of workshops with math teachers and will have more to share about that in the days, weeks, and months to come. In the meantime, a lot of schools are looking to hire math teachers:
There are more, I know, and if you or someone you know is looking to teach math in Colorado, see the listings at

This Week in Math Ed: June 10, 2016

Math Ed Said

June 3: The Math Munch for June 2, "SET, Ptolemy, and Malin Christersson," was the most-shared item on the 3rd.

Shared by: Justin Lanier, Ilona Vashchyshyn, Jeremiah Ruesch, Anna Weltman, Denise Gaskins, Julie Wright

June 4: Ryan Dent shared "Teachers understanding progressions...and kids that are "behind" in what appears to be his first blog post (at least at this site). This post reminds me of a recent university seminar presented by a math educator to non-math educators. When the math educator described having teachers engage in math tasks for professional learning, a non-math educator remarked, "I'm really surprised that you'd have them do that. I assumed math teachers know their content and there'd be nothing to discuss."

Shared by: Laura Wagenman, Ryan Dent, Jamie Duncan, Levi Patrick, Mike Anderson, Lindel

June 5: Terence Tao mixed politics and logic in his post, "It ought to be common knowledge that Donald Trump is not fit for the presidency of the United States of America."

Shared by: Ken W. Smith, Justin Lanier, Tom Henderson, Spencer Bagley, Evelyn Lamb, Egan Chernoff

June 6: A short interview with Matt Larson appeared on the Curriculum Matters blog at Ed Week: "New NCTM President: Math Is About More Than College and Career Readiness." In the interview, Larson emphasizes math as a path to democratic citizenship and making NCTM more responsive to its members.

Shared by: Jon Wray, Glenn Waddell, Jr., Denise Spangler, NCTM, Greg George, Farshid Safi, Melissa Haun

June 7: Chris Lusto spurred a lot of great conversation last week with his post, "Lessons for Other People." As someone who likes to think about and build infrastructures for curriculum materials, and who researches curriculum adaptation, I'm very interested in how to make lesson repositories more useful, and how to make the materials they contain high quality without losing their perceived malleability. That's not an easy balance to achieve. I'm also in a position where I'm not thinking about a lesson written or adapted by one teacher for one classroom. I'm more likely to ask the question, "How can we capture this teacher's adaptations of their lesson so they might benefit a different teacher using the lesson five years from now?" None of these have easy answers, but you'll want to check out Dan Meyer's response as well as one from Max Ray-Riek.

Shared by: Chris Lusto, Chris Robinson, Taylor Belcher, Bridget Dunbar, Michael Pershan, Patrick Honner, Dan Anderson, John Golden, Jen Silverman

Lynsey Gibbons presenting at the 2016 NCTM Research Conference
June 8: If you missed the latest #TCMchat you can look back at the tweets and read the focus article, "Unwrapping Students' Ideas about Fractions," written by Rebecca Lewis, Lynsey Gibbons, Elham Kazemi, and Teresa Lind.

Shared by: Zak Champagne, Melinda Knapp, Elham Kazemi, Lynsey Gibbons, Tracy Johnston Zager, Matt Larson, TCM - NCTM, NCTM, Annie Fetter, USU TeachMath, Jimmy Pai, Math Coach Rivera

June 9: Ilana Horn describes the need to narrow the gap between being curious and being a good student in her post, "Why Meaningful Math Learning Matters."

Shared by: Ilana Horn, Shauna Hedgepeth, Tim Hudson, Bridget Dunbar, Vanessa Cerrahoglu, Danny Brown, John Golden, Dan Anderson, Andy Shores, Bryan Meyer, DeAnn Huinker

Around the Math Ed Web

AMTE President Christine Thomas wrote about a possible reforming of the Mathematical Sciences Education Board, which has been dormant at the National Academies of Sciences, Engineering, and Medicine for a decade. AMTE also released survey results about enrollment in mathematics teacher preparation programs.

At the Global Math Department this week you can listen to teachers share their favorite strategies for handling the end of the school year. If you missed it, last week's talk by Roni Ellington about a discourse framework for access, equity, and understanding has been posted to the site.

Research Notes

Here's the latest from the July 2016 issue of Educational Studies in Mathematics:
Anna DeJarnette presenting at the 2015 RME Conference
Two more articles have been added to the September 2016 issue of the Journal of Mathematical Behavior:
I spotted this math ed-related article in the CU-Boulder-rich issue of Cognition and Instruction:
Here's a math-related article from the June 2016 issue of The Elementary School Journal:

Math Ed in the News

Math Ed in Colorado

Grant Opportunity:

Job Openings:
  • NEW: A Secondary Math Instructional Coach position is available at Prairie Heights Middle School in Greeley. If you are ready to branch out into the instructional coaching role and work with a dynamic 6 – 8 math department while also still have the opportunity to teach one or two classes, this is the position for you. You can email for more information, or go here to apply.
  • The Clear Creek School District is looking for a middle school math teacher. Apply on their website.
  • Platte Canyon High School in Bailey, CO, needs a math teacher for grades 9-12. At this time, the schedule includes Algebra 1 and several honors classes, including Precalculus. Bailey is a beautiful, small mountain community about an hour southwest of Denver and PCHS enrolls about 300 students. Class sizes are in the twenties or lower. Please apply to
  • Do you want to live, work, and play in the Vail Valley? There are still openings for math teachers in Eagle County! See here (elementary/intermediate) and here (high school).

This Week in Math Ed: June 3, 2016

Math Ed Said

May 27: Graham Fletcher questions prizes and incentives in his post, "The Multiplication Sundae and the Bad Taste of Incentives."

Shared by: Graham Fletcher, Tracy Johnston Zager, Kassia Wedekind, Judy Keeney, Christina, Richelle Marynowski, Julie Kubiak, Jennifer Lawler, Megan Schmidt, Shauna Hedgepeth

May 28: Fawn Nguyen lists 51 things she's learned about teaching and growing in a post called, "Half Century Plus One." It's more about teaching and learning than eating and growing, but some items on the list are more about kindness.

Shared by: Bridget Dunbar, Laura Wagenman, Megan Heine, Jeremiah Ruesch, Amy Hogan, Daniel Luevanos, Brian Bushart, Nate Goza

May 29: Fawn Nguyen is back for a second day in a row to share about a resource called Dudamath. I've only played with it for a moment to get an idea of how it works, and I'll be interested to see if or how teachers find ways to apply it to problems of student learning.

Shared by: Fawn Nguyen, Sharon Vestal, Bridget Dunbar, John Golden, Ed Campos Jr, MathDDSB, Adrianne Burns

May 30: In a Scientific American blog post, Evelyn Lamb writes, "The Male Gaze in a Math Book." It's a reminder of all the gendered and sexist moments that we experience, and how unnecessary (and often hurtful) they are.

Shared by: Ashli Black, David Butler, Josh Giesbrecht, Michael Pershan, Evelyn Lamb, Amy Hogan, Joshua Bowman, Dave Radcliffe, Patrick Honner

Is Eli Luberoff looking at you to be a Desmos teaching fellow?
May 31: Desmos announced the Desmos Teaching Fellowship, an opportunity for a teacher to work with Desmos starting with a weekend visit to Desmos HQ in November and the possibility of paid, part-time work with Desmos after that. Applications are due June 30, 2016.

Shared by:, Dan Meyer, Eli Luberoff, Christopher Danielson, Andrew Shauver, Michael Fenton, Sara VanDerWerf, Shelley Carranza, Geoff Krall, Karl Fisch, J.J. Martinez, Vanessa Garcia

June 1: People were excited to share about a new proof related to the pattern-matching card game "Set." Reported in Quanta, "Set Proof Stuns Mathematicians" illustrates the game, previous approaches to the problem, and the relatively simple proof that surfaced last month.

Shared by: M Sgbi, Sherri Burroughs, Dan McQuillan, Steven Strogatz, Ilona Vashchyshyn, Bowen Kerins, MAA, Brian R Lawler, Ryan R Ruff, Museum of Math, Cassy Turner, Jennifer Cook

June 2: In another Desmos story, Ontario has approved the use of Desmos for a standardized math exam. Previously used in Texas, this enables an exam mode in Desmos that constrains use of the app in ways that allow it to replace a traditional graphing calculator in a testing environment. I thought TI might do this themselves with their own software, but thankfully Desmos is providing some needed competition in the calculator market.

Shared by: Dan Meyer, Jennifer Blinzler, Pam Wilson, Jon Orr, Patty Stephens, Kyle Pearce, Cathy Yenca, Julie Reulbach, Heather Theijsmeijer, Julia Finneyfrock, Rachel Rosales, Matthew Oldridge, Bryan Anderson, Mark Chubb, Gregory White, Judy Keeney

Around the Math Ed Web

My eyes haven't spent a whole lot of time pointed at social media the past week or two, so I'm a little futher out of touch with the math ed web than usual. Still, there's always the Global Math Department:
If you're curious, there's still no mention of a due date for NCTM Research Conference proposals. I'll let you know when I see it.

Research Notes

Anne Garrison Wilhelm
The June 2016 issue of the American Educational Research Journal has one math ed article and I'm eager to read it:
The South African open access journal Pythagoras has their first article of 2016:

Math Ed in the News

Math Ed in Colorado

There's been a relative quiet as school years end, at least from my listening post. I hope everyone finished strong!

PD Opportunities:
Job Openings:
  • NEW: The Clear Creek School District is looking for a middle school math teacher. Apply on their website.
  • Platte Canyon High School in Bailey, CO, needs a math teacher for grades 9-12. At this time, the schedule includes Algebra 1 and several honors classes, including Precalculus. Bailey is a beautiful, small mountain community about an hour southwest of Denver and PCHS enrolls about 300 students. Class sizes are in the twenties or lower. Please apply to
  • There are still openings for math teachers in Eagle County. See here (elementary/intermediate) and here (high school).

This Week in Math Ed: May 27, 2016

I hope everyone had a restful holiday weekend! This week's TWiME is coming out later than most (I got sucked deep into some project work!), but don't let that keep you from checking out all the great things to hit the world of math ed last week.

Math Ed Said

Ilana Horn at the 2016 NCTM Research Conference
May 20: Ilana Horn wrote, "Who Belongs in our Math Classrooms?," a wonderful post about student affect and what kind of teacher actions and classroom cultures get in the way of students feeling like they belong.

Shared by: Ilana Horn, Bryan Anderson, Andrew Gael, Annie Forest, danny brown, Anne Schwartz, Fawn Nguyen, Ed Campos Jr, Sadie Estrella, Ron King, Tracy Johnston Zager, Evan Weinberg, Sara VanDerWerf, Bryan Meyer

May 21: Are you ready for "The Summer of Math?" Christopher Danielson is, and he wants to help you be ready, too. Christopher has put together a subscription service where you can get a monthly box of math goodies to help keep your kids thinking mathematically all summer long.

Shared by: Christopher Danielson, casey, A. O. Fradkin, Justin Lanier, Janice Novakowski, Kassia Wedekind, Megan Schmidt, Elizabeth Statmore, Martin Joyce, Nicole Bridge, Brian Bushart, Kent Haines, Laura Wagenman, Malke Rosenfeld, Bryan Anderson

May 22: John Rowe shows off a number of approaches to periodic functions, each of which was inspired by work of other Twitter-using math teachers. In this post you'll see a mix of "Which One Doesn't Belong," some Desmos activities, and "reversing the question."

Shared by: John Rowe, Mary Bourassa, WODB? Math, Fawn Nguyen, Taylor Belcher, Patty Stephens, Chris Mueller, Jennifer Lawler, Matt Sheelen, Martin Joyce

May 23: Katrina Schwartz is back yet again with another post on the KQED MindShift blog. "How A Strengths-Based Approach to Math Redefines Who Is 'Smart' uses the recent NCTM session about "Railside High" to describe complex instruction and efforts to change the culture of math classrooms and math departments.

Shared by: Nancy Terry, POWER Org Math, Bryan Meyer, John Golden, Samuel, NCTM, Emily Campbell, Bryan Anderson, SFUSD Math, Jennifer Lawler, Nicola Petty, Susan Davidson, Kaitie O'Bryan, Earl Samuelson, USU TeachMath, Ashley Bingenheimer, Clint Chan, Brian R Lawler, DeAnn Huinker, Geoff Krall

May 24: In a post about so-called "second math classes," Sara VanDerWerf describes "The #1 thing I did in my support math classes." Sara provides a long list of good ideas, focusing in on what she thinks is the single most important thing to help students who persistently struggle in math classes.

Shared by: Monica Brannan, Laura Wagenman, Meg Craig, Shelley Carranza, Jennifer Cook, Sara VanDerWerf, Jennifer Blinzler, Kathryn Freed

May 25: Jamie Duncan wrote "First Grade Fraction Talks... What?." I wondered how she did this without straying too far from the Grade 1 standards, but I think she did so rather nicely — there's no use of fraction notation, and students reasoned their way by focusing on the number and relative sizes of shapes.

Shared by: Jamie Duncan, Nat Banting, Fraction Talks, Ashley Bingenheimer, Andrew Gael, Chris Kalmbach, judy keeney, Genni Steele, Steve Wyborney, Shelley Carlisle, Amie Albrecht, Damian Watson, Andrew Stadel

May 26: Fawn Nguyen shared a post called, "A Lesson Salvaged" in which she describes how a MAP went poorly, and how she gave the task a second try with the help of Geometer's Sketchpad.

Shared by: Fawn Nguyen, John Golden, Kay Endriss, Adrianne Burns, Bridget Dunbar, Taylor Belcher

Around the Math Ed Web

I'm keeping this very short and very simple this week: Last week's Global Math Department talk is here (on interleaved problems), this week's is here (on the math behind game shows), and be aware that due to technical difficulties, NCSM has extended their proposal deadline for next year's annual conference to June 3rd.

Research Notes

The first few articles have been added to the September 2016 volume of The Journal of Mathematical Behavior:
In what's being called "Volume 2, Issue 2 Supplement" for July 2016 (rather than Issue 6, I guess, which would have been next), here's more from the International Journal of Science and Mathematics Education:
Here's something mathy and new from Teaching and Teacher Education:
The University of Exeter reorganized their website and wiped out Paul Ernest's archives of the Philosophy of Mathematics Education Journal. I found Ernest's new faculty page and hope an updated link appears there soon.

Math Ed in the News

There really wasn't a whole lot of math ed-related news for the 7 days of May 20-26, but I found this (and look forward to seeing how Common Core is discussed in Texas at next year's NCTM Annual Meeting in San Antonio):

Math Ed in Colorado

I have little new to report here, but I'm excited that Geometry Point in Romero Park is open in Lafayette! I'll have to grab my camera and check it out someday soon.

This Week in Math Ed: May 20, 2016

Math Ed Said

May 13: The first time I saw "WODB" (Which One Doesn't Belong?) mentioned on Twitter, I wasn't quite sure what to make of it. But when you see it in action, skillfully facilitated, you get it. Tracy Zager shared with us "Straight but Wiggled," in which a bunch of first graders make sense of ideas like "diamond," "straight," and "vertiwiggle." If you're familiar with Paul Cobb et al.'s work on the emergence of sociomathematical norms in classroom group activity, it makes it extra interesting to see what happens here.

Shared by: Tracy Johnston Zager, Ilona Vashchyshyn, Bridget Dunbar, Malke Rosenfeld, Kent Haines, Simon Gregg, David Butler, Mark Chubb, John Golden, A. O. Fradkin, Bryan Anderson, Laura Wagenman, Pat Power

May 14: If you're looking for Ignite talks from the 2016 NCTM Annual Meeting, or prior meetings, you can find them at The Math Forum.

Shared by: Suzanne Alejandre, Peg Cagle, The Math Forum, Tracy Johnston Zager, Amie Albrecht

May 15: It's a return appearance for the Ontario Math Links, this time for the week ending May 13th, 2016.

Shared by: David Petro, Mary Bourassa, Matthew Oldridge, Kyle Pearce, Jon Orr, Ryan Smith, Cathy Yenca

May 16: Jon Orr describes "Double Clothesline – Solving Equations," a very nice approach to understanding solving equations. Instead of a balance or algebra tiles, this uses double number lines in a way that gives more focus to the quantitites, rather than choosing or performing operations.

Shared by: Jon Orr, Shelley Carranza, Kyle Pearce, David Petro, Alex Overwijk, Pam Wilson, Lisa Lunney Borden, John Gibson

Dan Meyer
May 17: Dan Meyer is thinking about the informal that supports the formal understanding, which he illustrates in the post "Blue Point Rule." This is familiar territory for those of us who study Realistic Mathematics Education and its approach of progressive formalization. RME uses the terms "informal," "preformal," and "formal," and what Dan's wrestling with is what I'd call the "preformal" in RME. It's important that we call it out because it's really tough to make that last transition from a preformal model or conception to the use of a formal equation or rule. Dan's collecting "Before I ask for (Formal X), I ask for (Informal Y)" statements, some of which hint at common models used in RME.

Shared by: Dan Meyer, Bridget Dunbar, Jon Orr, Imtiaz Damji, Chris Mueller, Carrie Diaz Eaton, Mark Chubb, Nancy Terry, Jamie Duncan, Michael Fenton, Eddi Vulić, Rob Horcher, Missy Stringham, Levi Patrick, Rob Horcher, Jessica Faurote, Regan Galvan, Tim McCaffrey, Martin Joyce

May 18: There were 14 more shares of Dan's "Blue Point Rule" post, but I didn't want that post to completely overshadow this post by Matt Larson, which also got (re)tweeted a lot on the 17th and 18th. "NCTM Is Its Members" talks about NCTM understanding the needs of its members and what they're doing to meet them. I'm pretty excited about some of the directions NCTM is going, and they're moving a bit faster than I expected when I was thinking about these issues a while back. If you have feedback and ideas for Matt and NCTM, be sure to go to the post and leave them. You can see what other people have said and Matt's replies, and it looks like a pretty good discussion so far.

Matt Larson

Shared by: Lisa Henry, Amanda Jansen, TCM - NCTM, NCTM, NCTM - MT, April Pforts, UNL NebraskaMATH

May 19: The Chalkbeat story "How one Tennessee school district is getting students excited about math" describes number talks in a 1st grade classroom.

Shared by: John Golden, Melissa Soto, Donna Boucher, NCTM, Gary Petko

Around the Math Ed Web

A few more links popped up this week that I think are too good to pass up:
I'm eager to listen to Sam Otten's podcast with Thomas Carpenter. The episode is 28 minutes long and if I had 28 minutes to talk with Tom Carpenter, I probably wouldn't get past 1970. I'm guessing Sam did better than that.

In the Global Math Department last week, Tracy Zager gave a talk called, "How Do They Relate? Teaching Students to Make Mathematical Connections." Next week, Yana Weinstein and Cindy Wooldridge will talk about "Improving Math Education with Interleaved Problems by Global Math Department."

Deadlines: NCSM Annual on June 1 and RUME on August 19th and December 2nd (for posters).

Research Notes

The June 2016 issue of ZDM has arrived, with the theme Cognitive Neuroscience and Mathematics Learning — Revisited After Five Years:
I see one math article was just added to the August 2016 issue of Teaching and Teacher Education:
There's also a new issue of the Mathematics Education Research Journal:
New in AERA Open:
I don't watch Urban Education on a week-to-week basis for math ed articles, but recently a few caught my eye, so here's what I found published either this year or in upcoming issues:

Math Ed in the News

Do you remember that thing I put in last week's news section? No, you didn't, because there wasn't a news section! Somehow it slipped by unnoticed. But here's some news for you this week:

Math Ed in Colorado

The highlight of my week was attending the Colorado Mathematics Awards at the Grant-Humphreys Mansion in Denver. Organized by Richard Gibbs, David Carlson, and the CMA steering committee, this event recognizes students for outstanding performance in MATHCOUNTS, the American Mathematics Contents 8, 10, and 12, Moody's Mega Math Challenge, the USA Mathematics Olympiads, the American Regions Mathematics League, the William Lowell Putnam Mathematical Competition, the International Contest in Modeling, the Interdisciplinary Contest in Modeling, and some teaching awards. Whew, did I remember them all? It was great to see students ages middle school through college all being recognized for their outstanding work, and the fact that Colorado has a special event that brings all these people together is really something to be proud of.

The packed house at the Grant-Humphreys Mansion for the 2016 Colorado Mathematics Awards

While it was great to join everyone in this event in its 21st year, I think a big challenge going forward is to make sure opportunities to participate on math teams and in math competitions gets spread across all of Colorado. As a former MATHCOUNTS kid from a 5200-person rural town in Iowa, I noticed that most of the awardees were students from large, high-SES schools on the Front Range. I realize I only saw the winners, not all the participants, but the small-towner in me would love to see some students there representing places like Gunnison, Ordway, and Walden. Geographic diversity is one of a number of struggles concerning math competitions, so if you'd like to expand the opportunity to participate in math competitions at your school, let me know and I'll see if I can get you connected to people who can help.

In the News:
PD opportunities:
Job openings:
  • Platte Canyon High School in Bailey, CO, needs a math teacher for grades 9-12. At this time, the schedule includes Algebra 1 and several honors classes, including Precalculus. Bailey is a beautiful, small mountain community about an hour southwest of Denver and PCHS enrolls about 300 students. Class sizes are in the twenties or lower. Please apply to
  • Lake County School District in Leadville is looking for a 7th and 8th grade math teacher. If you are interested in joining a math department that combines Jo Boaler's work with Expeditionary Learning while living in a small town in the mountains, this job is for you. More information and an application can be found at their website. (Update 5/23: Position filled!)