This Week at the Global Math Department

Edited By Nate Goza  @thegozaway
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Foster Student Engagement and Exploration with Interactive Simulations

Presented by Amanda McGarry

PhET simulations are free interactive simulations that provide students an open-ended space to play with and explore mathematical concepts from place value to calculus. Teachers can guide students toward specific learning goals by combining simulation exploration with a guided activity and facilitating student discussions. Learn how to design and facilitate sim-based lessons that engage your students and encourage conceptual understanding. This session will focus primarily on pre-algebra and algebra topics, but will be useful for any teachers new to PhET.

To join us at 9:00 PM EST for this webinar click here!

GMD is Looking for Presenters!

Do you know someone who you think should lead a GMD Webinar?

Did you see something amazing at a recent conference that needs to be shared?

At Global Math we are proud of our Webinars!  We appreciate all of our presenters and look forward to bringing you the best “PD Iin Your Pajamas” on the internet.  We’re always on the lookout for fresh faces and new ideas.

Please use this recommendation form to let us know who/what should be shared next!  We will take your recommendations and reach out to try to make it happen!

You can always check out past and upcoming Global Math Department webinars. Click here for the archives or get the webinars in podcast form!

From the World of Math Ed…

What It’s Like to Be the ‘Only One’

Mathematics is often touted as the ‘human universal’, a subject that does not discriminate on the basis of race, gender, nationality, or sexuality. If only that were true. The harsh reality is that mathematics is done by people, people create institutions, and institutions reproduce structural inequities. Universities are not immune to the reproduction of structural racism and sexism, despite their pride as institutions of intellectual freedom and liberalism.

Hence Amy Harmon’s recent piece in the NYTimes, For a Black Mathematician, What It’s Like to Be the ‘Only One’, is a timely reminder that it can be difficult to be a black mathematician in a community of predominantly white and Asian peers. The piece centers Edray Goins, currently a professor at Pomona College, who wrote an AMS blog post in 2017 explaining why he left a research position at Purdue University. In his piece, he talks about the lack of priority given to teaching at research-oriented universities, the social isolation of research, and the isolation of being only one of two black faculty in the entire College of Science.

Harmon builds upon her own and Goins’ ideas in a follow-up piece What I Learned While Reporting on the Dearth of Black Mathematicians. Some striking insights and takeaways:

  • Black Americans receive about 7% of doctoral degrees across all disciplines but only 1% of doctoral degrees in math.
  • There are 1,769 tenured mathematicians in the 50 U.S. universities producing the most math PhDs. Probably, 13 of them are black.
  • In addition to the social costs of the dearth in black mathematicians (which I feel is the most important factor to consider), there is a significant economic impact from the mathematical community’s lack of diversity. It is important to consider that math research receives large funds from our own tax dollars through federal grants.
  • The idea that there are few black mathematicians because they are not as intelligent is simply circular. The lack of black representation leads to bias and assumptions about the abilities of black mathematicians, which in turn create obstacles to enter the field.
  • In 1969, the leadership of the nearly all-white American Mathematical Society told members to reject a resolution to address the shortage of black and Hispanic mathematicians in the community. My take on this is that the AMS has a responsibility to take decisive action in redressing the historical discrimination placed upon black and Hispanic mathematicians, whether it is through a more active role in advocacy, an increase in publications that feature black and Hispanic mathematicians, or increased coordination with the K-12 community in ensuring that black and Hispanic students do not give up on the field in elementary, middle, or high school.

Written by Melvin Peralta (@melvinmperalta)

Peter Liljedahl’s Thinking Classrooms Research
On February 23rd, Peter Liljedahl gave the Margaret Sinclair Memorial Lecture, on his receipt of the award in her honour, at the Fields Institute at the University of Toronto.

Peter’s thinking classrooms research has been developed and refined over the last 15 years, and this lecture was a short review of things he has learned. Chances are, if you are reading this newsletter, you are aware of this research. For many teachers, particularly secondary, this research has changed practices, and changed lives.

Dave Lanovaz also presented on group testing: The simple, effective tweak he came to use was adding in a review day before the group test.

Thinking classrooms have now been presented 276 times, in 8 countries, and are used in subjects as disparate as Home Economics. Liljedahl described the “exponential growth” of thinking classrooms. Basically, they suddenly were talked about everywhere, after a lengthy quiet period, from 2012 to 2014. This quiet period coincided with research into the conditions that make thinking classrooms in hundreds of individual classrooms.
Vertical non-permanent surfaces are surely the most famous aspect of this research. Visibly random groupings is another.

Liljedahl has described his research as “mucking about”. The original paper he put out is here.

This research continues to evolve, and is, in my opinion, a model for good educational research-large scale, exploratory and open-minded, and thorough.

Written by Matthew Oldridge (@MatthewOldridge)

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How I Humanize the Math Classroom
Presented by Howie Hua
The math classroom can easily be turned into a class where students wish they were robots: just memorize formulas, theorems, and definitions, and “plug and chug.” How do we bring back the human aspect of math? How do we show that we value our students’ voices? In this session, I will share many pedagogical strategies that you can start using in your classroom next week that humanize your math classroom, making your students feel that they are more than their ID number.
To join this meeting tonight when it starts at 9pm Eastern (or RSVP if it’s before 9pm), click here.
Did you miss last week’s webinar? Click here to watch “Rethinking Math Homework.”

The #MTBoS Never Sleeps

Hidden Mathematicians

Math belongs to all of us. Anyone can be a mathematician. Unfortunately, many faces in history go unacknowledged and what we are learning in the math classroom can be biased.

For example, a quick Google search can tell us that even though we call it “Pascal’s Triangle,” the Chinese created this triangle centuries earlier, calling it “Yang Hui’s Triangle” but we do not acknowledge that in American classrooms.

As math teachers, It is our job to do some research and see whose voice we are leaving out in our math classroom. What I love about @DrKChilds is that he is educating us about a black mathematician for Black History Month.

We can only grow and get better by learning and acknowledging contributions that we might not have known about. @MrKitMath printed the posts out to share with his students.

If we want a diversity of our students to imagine themselves as mathematicians, we must  show our students that math is filled with a diverse field of mathematicians.

Howie Hua
@howie_hua

Ask Me Two Questions

It’s hard to get students to realize when they don’t understand something or when they are confused about new material. Finding a way to get inside a student’s head can be challenging for any teacher. The strategy of asking students “what questions do you have?” has led to some success, at least more success than “any questions?” that we used to all ask.

Enter Christina’s tweet:


You can read the entire thread here. Inside the thread you can see where Mr C (@TeachingisSTEM) said a colleague asks, “What’s tricky about this?” and Lori Owen (@mrsowenmaths) asks students, “Where may someone go wrong?.” Molly Fast (@sofastm) said she also likes to ask, “What would a confused student ask right now?.” As Mr C put it, asking questions like these “normalizes the challenge of learning.”

Amber Thienel
@amberthienel

Inspired Notes From the Editor

Hello Math Nerds! If you dig Howie’s post, you might enjoy Chrissy Newell’s (@MrsNewell22) project of inspiring girls (and all of us) by focusing on the valuable, and largely unrecognized, roles that women have played in the field of mathematics. Click on this link to find out more information. As a man, I’m proud to wear my shirt and have learned more about my own biases and blindspots by researching the phenomenal accomplishments and courageous lives these women gave to humanity.

Also, did you know that our own Howie Hua is giving the webinar this week? Check it out! I’ve heard Howie talk about some of these ideas in person. He’s an inspiring speaker, and I think your time is well spent listening to what he has to say as an presenter.

Speaking of presenters…

GMD is Looking for Presenters!

Do you know someone who you think should lead a GMD Webinar?

Did you see something amazing at a recent conference that needs to be shared?

At Global Math we are proud of our Webinars!  We appreciate all of our presenters and look forward to bringing you the best “PD Iin Your Pajamas” on the internet.  We’re always on the lookout for fresh faces and new ideas.

Please use this recommendation form to let us know who/what should be shared next!  We will take your recommendations and reach out to try to make it happen!

Stay nerdy my friends! Got something you think should go into the GMD Newsletter, hit my up on Twitter at @mathgeek76.

Chase Orton

This Week at the Global Math Department

Edited By Casey McCormick @cmmteach
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Online Professional Development Sessions

Rethinking Math Homework
Presented by Frank Wapole and Evan Borkowski
Do you have 100% of your students completing your homework? Are students in your classes routinely using your homework assignments as learning tools? Yes? Then this session is not for you!!! This session is designed to challenge your views on HW, and help you utilize research based HW strategies.

To join this meeting when it starts at 9pm Eastern (or RSVP if it’s before 9pm), click here.

Last week  Cal Armstrong presented the webinar, Learning Math in a Digital Environment. If you missed it, make sure to catch the recording! Don’t forget – recordings for all previously held webinars can be found here.

The #MTBoS Never Sleeps

Desmos Statistics

Desmos just added statistics features to its already amazing free online graphing calculator. Dot plots, box plots, histograms, distributions and t-tests are all now available. This is great news for teachers who teach one variable statistics and data displays.

Bob Lochel created a short video to explain how to use these new features:

And while we’re talking about Desmos, don’t forget that the application for the fourth year of the Desmos fellowship are now open. This amazing professional development opportunity is open to teachers across the US and Canada. If you want to hear more about the fellowship weekend, check out the recent Des-blog featuring past participants experiences.

Written by Erick Lee (@TheErickLee)

Homework: a Problem or a Solution?

Do many of your students struggle to complete math homework?

Recently, Julie Reulbach blogged about Meaningful Homework and CPM. She doesn’t grade homework anymore, but she does check for completion. The CPM curriculum she uses has homework that includes spiral review. Julie has made some purposeful decisions about the quantity and timing of homework where her “students absolutely love the new system.” Read her blog post to learn what steps she took to increase the completion rate and connection to student learning.

Written by Andrew Stadel (@mr_stadel)

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Learning Math in a Digital Environment

Presented by Cal Armstrong

Learning mathematics for students requires a lot of diverse materials : notes, pictures, graphs, interactives, worksheets, equations, feedback, review materials. How do they have a workflow that works for all these different media; how do they collect, manage and cope while at the same time meeting with accessibility & language needs? And how do teachers manage to deal with all of that along with the need to do assessments, give feedback, observe, reflect and just “teach”? We’ll go through how #digitalink & OneNote have made all of this manageable and has in fact increased learning time in the classroom while adapting to the desire to engage in discussions, #vnps, student voice/choice, visualization and other common practices of the modern classroom.

To join us at 9:00 PM EST for this webinar click here!

GMD is Looking for Presenters!

Do you know someone who you think should lead a GMD Webinar?

Did you see something amazing at a recent conference that needs to be shared?

At Global Math we are proud of our Webinars!  We appreciate all of our presenters and look forward to bringing you the best “PD Iin Your Pajamas” on the internet.  We’re always on the lookout for fresh faces and new ideas.

Please use this recommendation form to let us know who/what should be shared next!  We will take your recommendations and reach out to try to make it happen!

In next week’s webinar Frank Wapole and Evan Borkowski will be here to challenge us to rethink Math homework.  You can get more info on the session and register here.

You can always check out past Global Math Department webinars. Click here for the archives or get the webinars in podcast form!

From the World of Math Ed…

Much Ado About Taxes

In recent weeks, the media has been abuzz with talk of tax rates. Most visible has been the headlines surrounding Rep. Alexandria Ocasio-Cortez’s talk of increasing the top marginal tax rate to 70%. This news has sparked much debate from all sides of the political spectrum. But regardless of your political beliefs, it’s been illuminating to witness the conversations and, in some cases, misunderstandings surrounding the system of income taxation in the United States.

So what’s this got to do with the math ed community? Well, if there was ever a moment for us to shine, this is it!

First up, Dan Meyer has written a blog post with some ideas and resources for helping our students understand marginal taxation. Dan also mentions an amazing collaboration between the New York Times Learning Network and the American Statistical Association called What’s Going on in This Graph? and, even better, Desmos teacher activities that enable teachers to have these conversations through the Desmos platform.

Second, Ben Orlin includes talk of taxes in his critically acclaimed book Math with Bad Drawings. As Ben mentioned on Twitter, the chapter stemmed from a “make your own income tax system” project that he used to give to his precalculus students. He also points out that, interestingly, marginal tax rates are a piecewise-constant function of income while tax paid is a continuous, piecewise linear function.
Third, @voxdotcom came out with a fairly well-made video explaining how tax brackets work. It may be interesting to connect the visual representation of tax brackets as “pockets” with the algebraic concept and notation of piecewise functions. I was particularly impressed by the fact that the video also mentions deductions, a concept often overlooked when people talk about income taxes in the United States.
Ultimately, what’s at stake is not just our students’ mechanical understanding of marginal tax rates. Rather, this is about the aspect of our work as teachers that involves helping our students develop mathematical literacy. In Paulo Freire’s words, before we teach our children to read and write, we must teach them to “read and write the world.” Beyond focusing on high test scores and college acceptances, we must help our students approach the complexities of the world with an array of intellectual tools. We must also help them develop the social and political sensitivities to use those tools with wisdom, agency, and compassion.
Written by Melvin Peralta (@melvinmperalta)
Black History Month, is a time to celebrate and amplify Black voices, stories, shed light on injustices, and teach.  Look at this article Teaching Black History Month from Tolerance.Org for inspiration and lessons.

Click on the image below for some people to follow on Twitter:

Here are some books to read by Black authors;

  1. White Rage by Carol Anderson (Thanks again to Val Brown for leading rich discussions on #ClearTheAir.)
  2. PUSHOUT by Monique W Morris EdD

See Morris’ Retweet with 100 books by Black women authors (image is link):

Finally, if you are teaching about Math History check out Mathematically Gifted and Black.

Contributions compiled by Diana McClean (@teachMcClean)

Number and Space are Inextricably Connected

Try this: close your eyes, and think of an open number line. You just need to picture a line, no intervals marked, just a certain amount of space. That line will have a length, although it is difficult to tell how long your mental image of this line is.

We know this line could stretch from some starting point, to infinity, or rather to some infinite length, which we cannot measure. We could mark an infinite number of points on this line, and actually, we could mark two different types of infinity on this line: counting numbers, and real numbers, which are demonstrably at a higher level on the “tower of infinity”.

But we are getting ahead of ourselves.

Close your eyes, and picture a line of length 10 units. Hold up your hands however long you think that line should be.

Now open them. Where are your hands?

Try the same exercise for 20. Where are your hands?

Here is an interesting tweet thread about some experiences I had working on number lines with grade ones. My colleague asked them to visualize 20.

Consider trying this with your students. Whether “shoulder width” is a preferred human length for number lines is an open question. Perhaps “body scale” is most relatble to us humans.

If you want to blow their minds, ask them to draw an open line of some length, mark 0 and one million as the ends. Where is 1000? Now do the same for one billion. Where is one million?

Space and number are mysteriously connected. As I understand the research, we know they are connected, there is no doubt, we just don’t really know how.

Work is being done in this area. See the pre-print in this tweet below, and consider reading it. Zach Hawes and Daniel Ansari are working on what happens in the brain to connect space and number. Basically, there is an emerging body of evidence that spatial reasoning and thinking about numbers are connected, as shown by fMRI mapping of the regions of the brain responsible for each.

Research continues, seeking to find this “missing link”. In the meantime, an open number line is a tool “with legs” in grade 1-12 education. (Typically, Kindergarten students aren’t quite ready to go past concrete counting objects, ten frames, and on to the number line).

Written by Matthew Oldridge (@MatthewOldridge)

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Fractions Forever — A Rational Aproach
Presented by Margie Pligge and Nancy Mueller
Don’t wait until your fraction unit to introduce fraction problems. We will use a framework to explore problems and number choices that help students make sense of fraction operations. Attendees will experience math talks, look at student work, and leave with specific grade level guidelines to teach fractions forever.
To join this meeting tonight when it starts at 9pm Eastern (or RSVP if it’s before 9pm), click here.
Did you miss last week’s webinar? Click here to watch “Building a Badging System: Let Your Students See Math In Action.”

The #MTBoS Never Sleeps

Drop Everything and Math

I saw this tweet from my friend Alecia Ford (@AleciaHiggFord) talking about how Madison Knowe (@knowemath) had a list of questions in her classroom and the last question was “What would the math equivalent of drop everything and read time look like?”

This has been a question on my mind a lot this year as we implemented “silent sustained reading” (SSR) time in my school. I was a little jealous and have been considering ways that we could potentially help students have this same relationship with math. So I posed the question back to Alecia. This was her response:

Then Madison weighed in with the ways she has been trying to incorporate it more in her own classroom with this tweet:

I love the idea of a “math play toolbox” and having games and puzzles as well as math books. And then Joel (@joelbezaire) offered up a newsletter from Kent Haines (@KentHaines) and a few games (Cat Stack and Manifolds) to pick up as a starting point.

How about y’all? What strategies have you tried to be able to have “drop everything and math” time as part of your school day? How do your students respond to this idea?

Amber Thienel
@amberthienel

[Editor’s Note: If you want to read more on the phrase “drop everything and math,” check out this Tracy Zager’s (@TracyZagerpost.]

A New Form of Flashcards

Tired of traditional flashcards? Me too! That’s why I was excited to see Berkeley Everett’s (@BerkeleyEverettMath Flips resource. Rather than having a question on one side and the solution on the other like a traditional flashcard, Math Flips have an exercise on one side and a related exercise example on the other. For example:

Berkeley’s purpose for this is to promote relational understanding rather than answer-getting. I love this progression of questions:

He credits other math educators including Chrissy Newell, who created a number talk with two related problems and the question sequence “How many? How do you know?” and “How many NOW? How do you know?”, Annie Fetter and Joe Schwartz, who say “Ask about ideas, not answers,” and the amazing number sense routines shared by Steve Wyborney (www.stevewyborney.com). He invites YOU to send ideas/feedback to Berkeley (email or Twitter) or make your own.

Berkeley has many downloadable flashcards. Try them out and let us know what you think.

Howie Hua
@howie_hua

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Building a Badging System: Let Your Students See Math In Action
Presented by Joel Bezaire
Seventh Grade teacher Joel Bezaire uses a collection of over 125 resources he’s gathered from around the web to let students see how math is used in a variety of contexts outside of a math classroom. In this Global Math session come hear how his system works, see some of the resources, see student work samples, and discuss together the ins-and-outs of making a system like this a success in your own classroom (As seen in 2018’s NCTM MTMS Blog on MyNCTM).

To join this meeting when it starts at 9pm Eastern (or RSVP if it’s before 9pm), click here.

Last week Shannon Kiebler presented the webinar,  Fostering the Equitable Math Talk Community. If you missed it, make sure to catch the recording! Don’t forget – recordings for all previously held webinars can be found here.

The #MTBoS Never Sleeps

Numberphile and “The Klein Bottle Guy”

I’m positive that many of you are familiar with the videos that Numberphile have produced about mathematics. If you’re not, you should stop their website https://www.numberphile.com/or YouTube channel https://www.youtube.com/user/numberphile to check them out. Here are three of my favourites:

Numberphile is produced by video journalist Brady Haran and features mathematicians describing some really interesting mathematics in an entertaining and easy to understand way. They recently started a podcast, and their newest episode features an interview with the “Klein Bottle Guy” Cliff Stoll, an astronomer, author and educator.

Michael Jacobs tweeted that “This @numberphile podcast with Cliff Stoll is a must listen for any teacher. What struck me is the massive impact (positive or negative) we can have on our students by the way in which we respond to their curious questions.” I couldn’t agree more with Michael. Cliff describes the powerful and profound impact that teachers and mentors in his early years had in shaping his career and educational trajectory. He described tracking down his eighth grade math teacher, fifty some years after being her student, to let her know how thankful he was that she took his questions seriously and fostered his curiosity. Cliff’s stories highlighted for me the important role that teachers have in the lives of their students and how teachers’ words and attitudes have consequences far beyond the walls of their classrooms.

This message is especially poignant this weekend as my Twitter feed is filled with descriptions of students on a school trip to Washington, DC behaving in racist, ignorant and disrespectful ways, seemingly within sight of their teachers. Teachers have an important role in naming, addressing and countering these racist attitudes.

Written by Erick Lee (@TheErickLee)

Once a Teacher, Always a Teacher

When I first entered the world of Twitter, Jenise Sexton was one of my first follows.  I knew of her math contributions as a state curriculum writer, and as a follower of her blog, learned of her impressive career. With only fourteen years in the profession, she has taught at the elementary and middle school levels, been a team leader, and has been in a coaching capacity at the site and district levels. It was evident to me that Jenise is a natural teacher who believes that teaching is at the center of getting better at mathematics, because twice, she chose to leave her coaching position to reenter the classroom to give her more insight.

When I finally met her in person at TMC17 in Atlanta, I was not surprised that she not once spoke of her many accomplishments, contributions, or speaking engagements, but only of the teaching and learning of mathematics, and the elevation of the profession.

Now coaching at the district level, her latest blog is unsurprisingly entitled A Case For Teacher Envy. In it, she speaks of her teachers who are just hitting the ball out of the park for their students. She specifically highlights eighth grade educator @tenaciousXpert, whose photos below give a hint of her practice.

Her room is divided into four quadrants, reinforcing vocabulary, and she methodically creates natural opportunities for students to build their math intuition.

I suspect this educator, like Jenise, sets high expectations of students, often motivating students to continue to work out the math long after class has ceased. I encourage you to read this blog and follow both educators if you haven’t already. Surely, there is much more to come from both.

Written by Marian Dingle (@DingleTeach)

I Don’t Give Two S**** if They are Real-World

Fawn took a Would You Rather math challenge (with context) and created a similar math challenge stripping the context. She then conducted a survey and blogged about it in Jelly Beans or No Jelly Beans.

She surveyed her students, Twitter, and even her own children about which math challenge they’d rather tackle. There’s a 50% chance the results of the survey will surprise you and there’s a 50% chance it won’t surprise you. However, you can be 100% certain Fawn’s choice and reasoning are insightful, entertaining, and heartfelt because she doesn’t “give two shits if they are real-world”. Click here to enjoy Fawn describe the beauty she finds in mathematics.

Written by Andrew Stadel (@mr_stadel)

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Fostering the Equitable Math Talk Community

Presented by Shannon Kiebler

Engaging students in math discourse is reliant upon a strong math community. How can we empower students and defeat helplessness in efforts to reach higher levels of math discourse? Come explore simple, yet transformative ideas to better your community and therefore better the discourse.

To join us at 9:00 PM EST for this webinar click here!

Next week’s webinar features Joel Bezaire who will share how he helps students see mathematics outside of the classroom.  You can get more info on the session and register here.

You can always check out past Global Math Department webinars. Click here for the archives or get the webinars in podcast form!

On the Topic of Twitter Chats…

Twitter chats have been an amazing resource for the online math ed community. They’ve allowed math educators worldwide to engage in a wide range of focused, public conversations, where anyone is welcome to join. Two recent chats come to mind as representing some of the best that the Twitter platform has to offer: #ClearTheAir and #SWDMathChat.

#ClearTheAir had its first chat around the book “White Rage” by Carol Anderson last Wednesday (1/9). The #ClearTheAir chat is focused on issues of race in education and in general, and Val Brown gives an excellent introduction to the chat and its origins in this blog entry. I have yet to catch up on reading the book, so I chose to lurk rather than actively participate this time. However the schedule for the next three sessions are here:

And I must say, the chat was . Some people have been contributing to #ClearTheAir even after the last question was asked Wednesday night, so I strongly encourage reading people’s thoughts and contributions if you haven’t already done so. There’s a lot to process, but here’s just a sample of what went down. Shout out to Christie Nold!

The other chat I have to mention is #swdmathchat, which as you can probably guess focuses on math education issues impacting students with disabilities. The most recent chat (1/10) was facilitated by Theodore Chao, who is an amazing math ed professor at OSU. Check out he spring schedule for #swdmathchat:

The theme for this most recent chat was “What is Possible?” Participants discussed what was possible for engaging students with disabilities in mathematical thinking and reasoning. The common denominator denounced, rightly so, the isolation that can occur when special education students are physically, intellectually, and/or socially isolated from their gen ed peers, especially in math class.

@ScottGeisler12@Julie12129030, and many others participated in last week’s chat.

I’ll close with a short list of books that I’ve read or are next up on my reading list in addition to “White Rage”. Such books highlight the multi-faceted, political nature of the work we do as educators.

Written by Melvin Peralta (@melvinmperalta)
Like Melvin, the book “White Rage” by Carol Anderson is on my mind.

The book details the extent and depths and insidiousness of white rage, from “Reconstruction”, all the way through to voter suppression. Some sections will make you want to throw up (either from intense violence described, or from a “how can this even be real?” feeling).

Some brief notes about 1957, “Sputnik”, and Brown vs. Board of Education. Many of us are often scolded for tweeting about things other than mathematics, as if we have no humanity, no interests, outside of our jobs as eduators. Many who come from more conservative perspectives, both about the world and about mathematics, suggest that it can and must be “neutral”.

Some things are about mathematics are neutral, like the square root of any number, or counting to 100. Sure, fine. But the systems that mathematics are embedded in have their own axioms and their own beliefs that become encoded in what mathematics is taught, and how.

The book goes briefly into Sputnik, and the moral panic it inspired about mathematics. A clarion call for “back to basics” was issued, and the fault laid by some at the foot of “progressive education” (plus ca change…)

But at the same time, many states were fighting to keep segregated schools, outright defying Brown vs, Board of Education, the 13th, 14th, and 15th amendments, ostensibly in the name of “state’s rights”. (What is it with America and “state’s rights”? Isn’t it possible that the conception of federalism your country uses just doesn’t work? Maybe the wrong compromises were struck, way back when?)

There was a school district in Virginia that closed all schools for 5 years, rather than let black students in. This is called “cutting off your nose to spite your face”, and yes, the powers that be were willing to close the schools even to the poor whites who might have needed them, rather than let blacks in (the rich, presumably, had their own schools).

So forget Sputnik, forget “back to basics”, and forget about mathematics as “neutral”: many students weren’t even allowed in to learn the basics.

That doesn’t even get us to gerrymandering, a whole other cruel and unjust use of mathematics. And that doesn’t even get us to human prejudices, encoded in algorithms (I am reading Hannah Fry’s “Hello World” now, and algorithmic prejudice is a new frontier of prejudice, don’t you think?)

Are we feeling “neutral”, yet? Not after reading this book, I am not.

I would add to Melvin’s list above of books for the #ClearTheAir shelf, Ijeome Oluo’s So You Want To Talk About Race.

Written by Matthew Oldridge (@MatthewOldridge)

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Edited By Chase Orton @mathgeek76
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True Talk with the Gurus of Open Up Resources 6-8 Math
Presented by Sara VaughnMartin JoyceMorgan Stipe, and Jen Arberg
Implementing a new curriculum is never easy – especially when it involves completely changing your teaching methods and philosophy. Each of these “Gurus” experienced such change when they adopted the problem based Open Up Resources 6–8 Math Curriculum. Learn from their classroom and district successes and challenges and get a glimpse of what makes a problem based curriculum engaging and challenging for all learners including Students with Disabilities and English Language Learners.

Join @Vaughn_trapped, @martinsean, @mrsstipemath, and @jenarberg and leave with ready to use instructional strategies you can implement in your classroom tomorrow using this free and open curriculum.

To join this meeting when it starts at 9pm Eastern (or RSVP if it’s before 9pm), click here.
Did you miss last week’s webinar? Click here to watch “Catalyzing Change in High School Mathematics.”

The #MTBoS Never Sleeps

[Editor’s Note: I invited Amber and Howie to put an ear to the ground of the #MTBoS world and report out on some interesting conversations that are happening. Here’s what they found. We share these conversations because we think they matter, and we think you do too. So we invite you to click on the threads, read more, and participate however you feel inspired! Happy geeking out! And Happy New Year!]

Navigating Through Twitter

I saw this tweet from Tim Bennett about how we can all use social media more efficiently as teachers to find what we need. Our time is precious. When you’re looking for ways to be better at teaching a certain topic, it can be frustrating having to sift through posts that talk about building relationships with students. I really liked Kate Nowak’s tweet showing that it’s not all about relationships:

It is important to grow both in student-to-teacher connections as well as being able to build great, engaging lessons for our students. Unfortunately, sometimes my Twitter feed feels a bit lopsided on this matter. If you feel like Tim, or you want to help people like him, here are some of my suggestions:

  1. Follow hashtags such as #geomchat, #alg1chat, and #statschat to find more content-specific advice. [Editor’s Note: Here are more hashtags.]

  2. Just like Natalie Perez says, simply ask! The Twitter community is more than happy to help. Just like we cannot read our students’ minds, we cannot help other teachers if we don’t know what they are looking for.

  3. Meg Craig suggests following some blogs that include lesson plans. I personally love Sarah Carter’s (@mathequalslove) blog. 

Finding the information we need on Twitter may feel like finding a needle in a haystack, but it doesn’t have to be. Remember that we are all here to help each other in many capacities; all we have to do is ask.

Howie Hua
@howie_hua

Thoughts On Grading

Howie Hua (@howie_hua) posed this question to Twitter and got a great response.

The response was quite diverse often steering Howie away from grading using points. Kevin Santry (@MrSantry) talked of using a rubric instead of percentages or points.

I can tell from his responses that Howie has been considering using Standards Based Grading (SBG) in the future. I wonder if this exam and response from the student will be the push to move him in that direction.

This was an interesting response from Scott Figgins (@scott_figgins) that really talks to the purpose of grading.

Grading is such a hot topic and I love that Twitter is a great way to hear from so many points of views. Read through the entire thread of Howie’s post here.

Amber Thienel
@amberthienel

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Catalyzing Change in High School Mathematics: Initiating Critical Conversations
Presented by Robert Berry
Catalyzing Change in High School Mathematics: Initiating Critical Conversations identifies and addresses critical challenges in high school mathematics to ensure that each and every student has the mathematical experiences necessary for his or her future personal and professional success. This session provides an overview of Catalyzing Change and initiates critical conversations centering on the following serious challenges: explicitly broadening the purposes for teaching high school mathematics beyond a focus on college and career readiness; dismantling structural obstacles that stand in the way of mathematics working for each and every student; implementing equitable instructional practices; identifying Essential Concepts that all high school students should learn and understand at a deep level; and organizing the high school curriculum around these Essential Concepts in order to support students’ future personal and professional goals. Catalyzing Changeis written to engage all individuals with a stake in high school mathematics in the serious conversations that must take place to bring about and give support to necessary changes in high school mathematics.

To join this meeting when it starts at 9pm Eastern (or RSVP if it’s before 9pm), click here.

Last week Geoff Krall presented a webinar focusing on his new book, Necessary Conditions. If you missed it, make sure to catch the recording! Don’t forget – recordings for all previously held webinars can be found here.

Please note, the Global Math Department will be taking a 2 week holiday break from both webinars and newsletters. We will see you in the new year on Tuesday, January 8, 2019! Happy holidays to you and yours.

The #MTBoS Never Sleeps

Active Caring

Build positive relationships, get to know your students, show personal interest in your students lives. I’ve heard these suggestions often. And indeed, I think these are fine suggestions, but they only go part way. They are just a bit vague and seem incomplete. I feel they need a bit more focus and sincerity or they risk being empty platitudes.

On Tuesday evening, I participated in Geoff Krall’s Global Math Department webinar (check out the recording at Big Marker) highlighting themes from his recent book Necessary Conditions: Ingredients for Successful Math Classrooms. One part that really resonated with me was when he talked about the difference between Passive Caring and Active Caring and shared the table below.

I feel like in the past I have too often displayed passive caring to my students. I haven’t worked hard enough to reach out to every student. Geoff recently wrote to his blog some additional details about enacting Active Caring. He tackles the question of how to find time to accomplish these active caring strategies in the classroom and makes some practical suggestions.

I remember really reflecting on my own practice after reading Joe Schwartz’s description of Emily, a student that in some schools might go days or weeks without any teacher really paying attention to her or doing more than saying hello at the door. Being intentional about active caring can make sure that students like Emily are not ignored. As Rita Pierson said,“Every child deserves a champion, an adult who will never give up on them, who understands the power of connection, and insists that they become the best that they can possibly be.”

Many schools will soon be taking a holiday break and returning in January. As you return to classes in the new year, think about how you might demonstrate active caring with your students (you might even consider it a new year resolution). How will you be intentional about incorporating this?

Written by Erick Lee (@TheErickLee)

On Fidelity

I first met Cristina Paul at Twitter Math Camp this summer. She recently began her blog entitled Neglected Thoughts, and her first post speaks powerfully of her experiences as a dual language mathematics teacher and of her work with the UCLA Mathematics Project. She is an advocate of her Latinx charges, and urges us to respectfully observe the rich knowledge dual language teachers possess. You have probably seen her Spanish versions of WODB on Twitter like this example:

Her most recent post, On Fidelity, seeks to explain the importance of translanguaging and all its nuances. Although I had a basic knowledge of it, Cristina, a trilingual herself, patiently explained the answers to some of my questions. This post offers so much more.

Translanguaging is more than switching from one language to the next, as I once thought. As she explained in a DM:

Translanguaging is the idea that bilinguals are not two monolinguals trapped in one brain. It acknowledges the richness of our lived experiences and that multilinguals should have opportunities to use their full linguistic repertoire. Translanguaging does not believe in siloing languages. Although it does recognize that sometimes one language may need to be protected from being overtaken by a “language of power”.

Her blog post begins with her description of her journey as a student in a monolingual world. She then describes how the embrace of translanguaging has evolved in her life and teaching of students and leading professional development. She gives us a new view of what is possible when we let go of our assumptions and our allegiance to conventional views of teaching and learning.

As I read her piece, so many thoughts emerged related to student and educator identity, and how it shapes our learning and teaching experiences. Cristina offers us quite a bit to chew on here, and I look forward to her continued writing.

Written by Marian Dingle (@DingleTeach)

Estimation Clipboard

Full disclosure: I’m extremely partial to estimation in the math class.

Back in April of 2018, Steve Wyborney posted a wonderful series of 40 estimation lessons under the name “Estimation Clipboard.” The estimation lessons include 4 highly similar images that allow students to estimate based on additional information and context with each image. There are plenty of opportunities for students and teachers to have rich mathematical conversations.

In addition to the free 40 estimation lessons, Steve offers facilitation tips to help you get started. Be sure to head over to Steve Wyborney’s blog and begin estimating.

Written by Andrew Stadel (@mr_stadel)

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This Week at the Global Math Department

Edited By Nate Goza  @thegozaway
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Online Professional Development Sessions

Necessary Conditions:  Ingredients for Successful Math Classrooms

Presented by Geoff Krall

Take a look at pieces of Geoff Krall’s book on Secondary Math. He’ll share the inspirations for the book as well as a framework for pedagogy for secondary math teachers. You’ll see excerpts from the book as well as printables to advance your practice.

To join us at 9:00 PM EST for this webinar click here!

Next week at Global Math NCTM President Robert Barry will be here with an overview of “Catalyzing Change in High School Mathematics: Initiating Critical Conversations.”  You can register ahead of time here!

You can always check out past Global Math Department webinars. Click here for the archives or get the webinars in podcast form!

Approaching the New Year

The Year Progress Twitter account is amusing. It only tweets an old-fashioned looking “loading” bar showing, well, the progress of the year towards the end.

It may well be that you feel like “Teacher New Year” (for many, people, the day after Labor Day is the “real” New Year) was yesterday, and you have barely made progress in reaching your goals. I assure you, you have. That bone weary feeling you have right now means that you have worked hard, and need a rest. Take some time to pause, reflect, and think on what goals you have for the “other” New Year. Humans love patterns, we are good at perceiving them, and we love the sweet feeling of “starting over”.

If 2019 is a blank slate, what do you want to accomplish? What goals will you continue to work towards? Is there anything new you want to try?

It could be a time for new habits, new goals. I recently read “The Power of Habit”, and it powerfully describes how, set in our ways though we often are, we have the power to change our habits.

Perhaps you want to consistently get your students in a reasoning routine, like Fraction Talks, or Would You Rather. Build the habit. Perhaps you want to use #VNPS (or little white boards, or whiteboard paint on desks). Create a new routine for yourself. Maybe you want to read more research. Start with one good article. Maybe then you could put it into your calendar or agenda on a regular basis. Habits will form. (You could start with the Boaler curated journal special issue “Dispelling Myths About Mathematics.”

Be kind to yourself though – maybe pick one good goal for yourself in your practice, and find the steps you will need to take to achieve that goal.

All best wishes for the holiday break, Merry Christmas to those who celebrate, and Happy New Year! 2019 will be great!

Written by Matthew Oldridge  (@MatthewOldridge)

I was fortunate enough to attend CMC-North Math conference at the beginning of December.  I saw Howie Hua playing piano in the lodge.  He has shifted my teaching with small transformations toward a more humanitarian classroom.  One thing that gets lots of attention is his method of allowing students some processing time before a test.  This, being my first year at High School (giving finals), I saw students respond with positivity when I allowed them time to prepare a “one page” prior to the exam.  Given that we have block periods (and it is against most progressive research to ask kids to sit for two hours), I had them take a “one rule” break mid-exam.  Flip there tests upside down, take your one page, STAND-UP and collaborate to add more to your notes.  There was active discussion; and the process of a “final exam” felt more humane.

Adding to this theme; I was fortunate enough to attend a talk by @BeckyNftP titled: “Warm up to Mathematical Freedom.” She landed on this idea from an aside in Jo Boaler’s talk last year and has since been grappling with the meaning.  This question posing session had me considering my “tent poles” or the structures that support the rest of your teaching practice.


When have we felt “mathematically free”?  When do our students feel free?  Should we consider as Jo Boaler says both Organizational and Mathematical freedom?  Should we lean toward Tracy Zager’s ideas of Mathematicians as Rebels?

Next topic: Teaching is a Political Act; follow @BadAssTeachersA to keep up to date and enter into the realm.  If you are fortunate enough to be at a school with a teacher’s union; show up for their events: everyone benefits when public schools thrive.

Other quick tweets that caught my eye this month from people I enjoy having on my feed: pictures are linked so you can have them too 🙂

Enjoy your holiday break; as @MatthewOldridge said, “take care of yourself.”

Written by Diana McClean (@teachMcClean)

GMD is Looking for Presenters!

Do you know someone who you think should lead a GMD Webinar?

Did you see something amazing at a recent conference that needs to be shared?

At Global Math we are proud of our Webinars!  We appreciate all of our presenters and look forward to bringing you the best “PD Iin Your Pajamas” on the internet.  We’re always on the lookout for fresh faces and new ideas.

Please use this recommendation form to let us know who/what should be shared next!  We will take your recommendations and reach out to try to make it happen!

Follow us on Twitter
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