Math Links for Aug 4th, 2023

Featured Links

I was introduced to the game Set years ago at Twitter Math Camp and loved it right from the start. So it's cool to see how the math is deeper than just playing the game. I love the vector space representation. Although they don't talk about it here, another variation is 3D Set. That you play more collaboratively but it's fun too. 
Curriculum Tags: All
https://www.youtube.com/watch?v=EkFX9jUJPKk

Resource Links

And speaking of vectors, the updated @Desmos Geometry tool handles them quite well.
Curriculum Tags: MCV4U
https://twitter.com/Desmos/status/1686390764585279491

🚨New Feature Alert🚨: Our Geometry Tool now includes vectors you can compute with in the expression list! How will you use our new vector tool? (Bonus: What do you notice about the vector tokens in the expression list as we move the vector around?) pic.twitter.com/5gtKZAxMOB

— Desmos (@Desmos) August 1, 2023

If you like @FawnPNguyen's Visual Patterns site then you'll love the @Mathigon treatment of it
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/MathigonOrg/status/1683477459667222528

Polypad is a great tool for exploring visual patterns. We've created interactive versions of 20+ visual patterns to help students engage in algebraic thinking. View the Polypad collection, some designed by @fawnpnguyen, at https://t.co/VBlH0LZIgF pic.twitter.com/VXGYepsI7K

— Mathigon (@MathigonOrg) July 24, 2023

I love that even the Egyptians thought unit fractions were important
Curriculum Tags: Gr7, Gr8
https://twitter.com/QuantaMagazine/status/1685344205319581696

With the exception of a single symbol for ⅔, Ancient Egyptians’ number system could only express more complicated fractions (like ¾) as sums of unit fractions, which are fractions that feature a 1 in their numerator (½ + ¼). https://t.co/9J6evWPqzo pic.twitter.com/TJmRojyo9L

— Quanta Magazine (@QuantaMagazine) July 29, 2023

I once tried to figure out my Erdos number based on my Masters work in Physics. I think I might be too far away but it's still pretty cool how much he did for math and physics
Curriculum Tags: All
https://twitter.com/PhysInHistory/status/1686011280350482432

Mathematician Paul Erdős used to work for nearly 19 hours a day doing math and often claimed that he requires only three hours of sleep. He published nearly 1500 papers on mathematics and co-authored with more than 250 mathematicians during his time. Erdös is credited for… pic.twitter.com/0nxKOWGmUf

— Physics In History (@PhysInHistory) July 31, 2023

Video/Audio Links

A fun secret message
Curriculum Tags: All
https://twitter.com/mathladyhazel/status/1685382101439242240

Sending a secret message using math. 😍 pic.twitter.com/zUjy7ZS1p4

— Math Lady Hazel 🇦🇷 (@mathladyhazel) July 29, 2023

A quick example of using the cosine ratio of the 60^o angle
Curriculum Tags: MPM2D, MFM2P
https://twitter.com/howie_hua/status/1685273606761107456

New TikTok video: An introduction to trig ratios pic.twitter.com/FtLToYSpo1

— Howie Hua (@howie_hua) July 29, 2023

I added the podcast @ThinkThankThunk to my Math Podcast page. Check it out
Curriculum Tags: All
https://ontariomath.blogspot.com/p/podcasts.html

[Updated Page] - My page of #math based podcasts now includes #ThinkThankThunk from @vendi55, @MaeganGiroux & @webbkyle where they discuss all things #ThinkingClassroom from @pgliljedahl check it out & all the other podcasts:https://t.co/VMJB1Oko9v#MathChat #MTBoS #iTeachMath pic.twitter.com/CA6zMg2U1x

— David Petro (@davidpetro314) August 4, 2023

Image Links

Jumping on the new logo bandwagon
Curriculum Tags: MTH1W, MPM2D, MCR3U, MCF3M
https://twitter.com/ZahlenRMD/status/1685582143072894977

😅😅😅✌️✌️✌️

New Logo of Twitter with graph ✌️#sharingisthenewlearning#newlogo pic.twitter.com/cgZOkwIwJj

— Reygan Dionisio (@ZahlenRMD) July 30, 2023

Math Links for Week Ending Apr. 7, 2023

Featured Links

Everyone is talking about these non periodic tessellations and here is the story behind them
Curriculum Tags: All
https://www.quantamagazine.org/hobbyist-finds-maths-elusive-einstein-tile-20230404/

For more than 50 years, mathematicians have sought an “einstein”--a simple shape that can only tile the plane nonperiodically. Now a retired print technician has found one! My latest for @QuantaMagazine https://t.co/UYlKQ5OFZ3

— Erica Klarreich (@EricaKlarreich) April 4, 2023

Resource Links

Keep this in your pocket for next year's April Fools day
Curriculum Tags: All
https://twitter.com/MathigonOrg/status/1642165111065309185

BREAKING: Mathematicians have found an exact fraction that equals π, thereby disproving the long-standing conjecture that π is irrational. We now know that π = 1783366216531/567663097408. Learn more at https://t.co/oDP5wlqVnz pic.twitter.com/42dTXVrUac

— Mathigon (@MathigonOrg) April 1, 2023

Everyone is making resources for the new non periodic tessellating shape
Curriculum Tags: All
https://twitter.com/TimBrzezinski/status/1643292947561996292

Come explore the newly discovered aperiodic monotile (c/o @cs_kaplan et al.) and create your own tessellation with this revamped @geogebra version! 👉 https://t.co/rZLT4AEbBC #MTBoS #ITeachMath #math #geometry #geomchat #mathchat pic.twitter.com/A9nJbBxvjD

— Tim Brzezinski (@TimBrzezinski) April 4, 2023

Students can build their own factorable quadratics with this card based activity. 
Curriculum Tags: MPM2D, MCR3U, MCF3M, MBF3C
https://twitter.com/kate_selkirk/status/1643232187842539523

Playtested #Roots yesterday! You pick your a & c terms, choose a b term, and factor to claim roots! This game is playable NOW! #gbl #game #iteachmath #mtbos https://t.co/6CWy6klWam https://t.co/rscXDWsw6s pic.twitter.com/v9cL8MIZOW

— Kate Selkirk-Litman (@kate_selkirk) April 4, 2023

Video Links

I love this CheckSum calculation as a way to have kids hammer out some simple calculations and how they relate to bigger societal issues. In fact, when you buy something online, usually all the website is doing is verifying that this calculation is valid to validated your card
Curriculum Tags: All

https://twitter.com/howie_hua/status/1641910387208753152

Here's my credit card number pic.twitter.com/3gSy8RE2iF

— Howie Hua (@howie_hua) March 31, 2023

Here's a nice little intro to algebra activity
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/howie_hua/status/1641596322125058048

One of my favorite math tricks pic.twitter.com/g8XBPPxJwJ

— Howie Hua (@howie_hua) March 31, 2023

Why not 3D print some lego versions of the new aperiodic shapes. The template is in the comment thread
Curriculum Tags: All
https://twitter.com/davemakesstuff_/status/1644348513697034246

Einstein Aperiodic Monotile LEGO

An aperiodic tile covers two-dimensional space creating infinite patterns that never repeat. Until recently, the existence of an aperiodic monotile was purely theoretical. But here it is thanks to @cs_kaplan et al!#monotile #aperiodic #3dprint pic.twitter.com/w6skZOOnss

— DaveMakesStuff (@davemakesstuff_) April 7, 2023

Image Links

Geometry humour
Curriculum Tags: All
https://twitter.com/pickover/status/1644469552133160962

Mathematics. Parallel lines. pic.twitter.com/kqB79Ebnrl

— Cliff Pickover (@pickover) April 7, 2023

Math Links for Week Ending Mar 31st, 2023

Featured Links

I think that any time you can show students that they can be powerful learners is a good thing
Curriculum  Tags: All
https://www.11alive.com/article/news/education/no-east-teens-make-pmathematical-discovery-2000-years-making/289-e89f40cb-85f8-4a55-ae3f-3ec37412d7b8

Some kids definitely do their homework

New Orleans East teens make 'impossible' mathematical discovery unproven for 2,000 yearshttps://t.co/yTqXTktkDI#MathChat #MTBoS #iTeachMath

— David Petro (@davidpetro314) March 25, 2023

Resource Links

Meet the Ontario #statistics prof who claims he can’t stop beating Roll Up To Win
Curriculum Tags: MDM4U

https://kitchener.ctvnews.ca/meet-the-ontario-stats-prof-who-claims-he-can-t-stop-beating-roll-up-to-win-1.6332975

Make sure you read the entire thread in the comments of this post for some ideas on how to open everyday and ordinary questions
Curriculum Tags: All
https://twitter.com/MathsCirclesOz/status/1640580040512491520

How to turn 1 short maths problem into an entire lesson

(A method we use for every problem we create)

Here's how to do it:

— Maths Teacher Circles (@MathsCirclesOz) March 28, 2023

Make sure you look at @JennaLaib's comment for her set of sample slow reveal graphs
Curriculum Tags: MDM4U
https://twitter.com/normabgordon/status/1640376951402557441

@jennalaib not a #slowreveal just a beautiful reveal! https://t.co/5yHAe2DnTT

— Norma Gordon (@normabgordon) March 27, 2023

I hope @MathEqualsLove keeps posting math puzzles
Curriculum Tags: All
https://twitter.com/mathequalslove/status/1639053464633475073

1-2-3 Puzzle

This week's puzzle of the week is adapted from Serhiy Grabarchuk's The Simple Book of Not-So-Simple Puzzles.

It is an excellent puzzle book with so many puzzles that I can see myself using with my students! https://t.co/vtAWvrfukR #mtbos #iteachmath #teach180 pic.twitter.com/QJRdie6NT7

— Sarah Carter (@mathequalslove) March 23, 2023

I can't help posting about this problem when ever it arises. Who knew order of operations could be so subtle?
Curriculum Tags: All
https://twitter.com/stevenstrogatz/status/1639721953111015427

Apparently folks in the UK are fighting about the latest PEMDAS/BODMAS/BIDMAS teaser. I was asked to weigh in by @DailyMailUK. Have a look if this is your sort of thing. https://t.co/4MYM5fv01k

— Steven Strogatz (@stevenstrogatz) March 25, 2023

What a cool an informal way to do transformations
Curriculum Tags: Gr7, Gr8
https://twitter.com/dpscher/status/1640328345232482305

New blog post: Transformation dances with penguin and frog. Shake a leg with these rotation, reflection, and dilation dances! https://t.co/DFyBxrQ81Q… #mtbos #mathchat #ITeachMath pic.twitter.com/i3FD8dKHRh

— Daniel Scher (@dpscher) March 27, 2023

Video Links

I like how @Ayliean takes tessellation to the next level. 
Curriculum Tags: All
https://twitter.com/Ayliean/status/1641483036679196672 

A celebration of the shiny new

✨aperiodic mono-tile✨

Maths is definitely not done yet! pic.twitter.com/l8UBvzdPbs

— Ayliean (@Ayliean) March 30, 2023

More Tessellations 
Curriculum Tags: All
https://twitter.com/cs_kaplan/status/1639269752194342912

For some reason I hadn't thought to create an animated GIF of the continuum. I've put one up on the hat page (https://t.co/MXh2q8k1I9) if anyone wants it. pic.twitter.com/BPUNkIn7vl

— Craig S. Kaplan (@cs_kaplan) March 24, 2023

I think if you pose a question as "can you guess?" or as a puzzle that will always engage students a bit more (or at least make questions more "friendly")
Curriculum Tags: Gr7, Gr8
https://twitter.com/davidporas/status/1639319636305903654

One of all-time favorite Polypad activities! https://t.co/amGd1YCWSp

— David Poras (@davidporas) March 24, 2023

Image Links

And even more tessellations (in many forms)
Curriculum Tags: All
https://twitter.com/MathforLove/status/1638946865831100416

An extraordinary mathematical discovery!

A roundup of thoughts and resources about the #aperiodicmonotile, plus other news - https://t.co/8Jj6dcYMtg pic.twitter.com/vtFdKWRx35

— Dan Finkel (@MathforLove) March 23, 2023

A simple problem (if you are paying attention) dealing with powers
Curriculum Tags: MTH1W 
https://twitter.com/sonukg4india/status/1640554059668275200

#morning with #math pic.twitter.com/Rj4QHkfC3Q

— SKG (@sonukg4india) March 28, 2023

I think this could be a catalyst to having students make a bunch of questions in the form "Which is greater a^b or b^a?"
Curriculum Tags: MTH1W
https://twitter.com/sonukg4india/status/1639113058177134600

#Comparison gives pic.twitter.com/4bQXdVBtQQ

— SKG (@sonukg4india) March 24, 2023

    

Math Links for Week Ending Mar 24, 2023

Featured Links

Some of these I have shared here before but there are many other resources that I have not seen before. You will most likely find at least one thing that you can use here:
Curriculum Tags: All
https://mathcommunities.org/resources/

There's a pretty impressive list of free (and low-cost) math resources at https://t.co/vFILhlghmt!#iteachmath #mtbos @AIMathCommunity

— Dan Finkel (@MathforLove) March 24, 2023

Resource Links

I'm a big fan of knowing why rather than just showing the properties
Curriculum Tags: MTH1W
https://twitter.com/Christophe_Sew/status/1637276661379919875

Really want student to grasp WHY the perpendicular bisector method works before using it.https://t.co/lsX7wofxr3@desmosclassroom @mathigon @davidpetro314 pic.twitter.com/PLvybfyLa4

— Mr. S (@Christophe_Sew) March 19, 2023

Video Links

I feel like I've shared this one before but there is no harm in seeing these periodic functions again.
Curriculum Tags: MCR3U
https://twitter.com/mathladyhazel/status/1639319656849604624

Polygonal sine. So satisfying. [https://t.co/YgovMmenHf] pic.twitter.com/0qXMrGmHD6

— Math Lady Hazel 🇦🇷 (@mathladyhazel) March 24, 2023

How can you not love the number 7. Regardless, these properties of the decimals are cool
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/howie_hua/status/1639058920483483649

I generally dislike the number 7 but I can't deny how cool the decimal representations for sevenths are. pic.twitter.com/KLs33DZgbu

— Howie Hua (@howie_hua) March 24, 2023

Image Links

I think this could be a catalyst for students to create their own similar puzzle and have each other solve them by creating an equation.
Curriculum Tags: MTH1W
https://twitter.com/pickover/status/1637146657522319363

Mathematics.

(Although some of you will say this is too "easy," what percentage of people on planet Earth could answer such a strange question?) pic.twitter.com/lpCOlRkuhq

— Cliff Pickover (@pickover) March 18, 2023

This is a nice prompt for students to show understanding of fractions 
Curriculum Tags: Gr7, Gr8
https://twitter.com/TimBrzezinski/status/1639077166196445185

What is wrong with this picture? 😮 Perhaps the ability to scale fraction bars in @MathigonOrg could serve as future fodder for some #WODB Qs? #MTBoS #ITeachMath pic.twitter.com/99XSV2mZfH

— Tim Brzezinski (@TimBrzezinski) March 24, 2023

Do you like halves? Well this would be a good check of your simplification skills
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/sonukg4india/status/1639084629851512832

#morning with #math pic.twitter.com/sDECMPU5x0

— SKG (@sonukg4india) March 24, 2023

Math Links for Week Ending Mar. 17th, 2023

Featured Links

This reminds me of the book from @JohnAllenPaulos "A Mathematician Reads the Newspaper" 
Curriculum Tags: All
https://twitter.com/BristOliver/status/1634873628583149575

My piece "How to read the news like a mathematician" is in today's Observer. https://t.co/UITPAKKmem Fairly confident there's something for everyone to get cross about in there, but enjoy anyway!

— Oliver Johnson (@BristOliver) March 12, 2023

Article Links

It's good to remind students that even the smartest among us can still find joy in simple math
Curriculum Tags: All
https://twitter.com/stevenstrogatz/status/1636082705468207108

How a theoretical physicist’s passionate approach to simple math got him the Padma Bhushan and the Boltzmann Medal -- great piece about Deepak Dhar https://t.co/TMbVPRUU6R via @theprintindia

— Steven Strogatz (@stevenstrogatz) March 15, 2023

Resource Links

I like the integration of #PolyPad to self check answers in this intro to Algebra activity
Curriculum Tags: Gr7, Gr8
https://twitter.com/Christophe_Sew/status/1636351225611395072

Giving the MathsPad Y7 Intro to Algebra a whirl.

Converted first slides using @desmosclassroom.
Using @mathigon to check understanding and for algebra tiles.@MathsPadNicola @davidpetro314 #iteachmath pic.twitter.com/QXq8KwUfEa

— Mr. S (@Christophe_Sew) March 16, 2023

This is a pretty cool geometry problem. Though I'm not sure how many students may get it without some hints, I think it's a great way to show how amazing geometry could be
Curriculum Tags: Gr7, Gr8

https://twitter.com/MathforLove/status/1635717498871123969

The Three Square Problem came up recently, and I revisited my old blog post on the topic.

The three angles in the image below sum to 90 degrees.

But why?!

This is a fabulous geometry problem, with great extensions and variations!https://t.co/Xhbdyhjhlm#iteachmath #MTBoS pic.twitter.com/QgzJHFP4ke

— Dan Finkel (@MathforLove) March 14, 2023

Video Links

I like this proof because it isn't very algebraic so that kids may have an easier time of understanding why it's true.
Curriculum Tags: MCV4U, MHF4U
https://twitter.com/howie_hua/status/1636151564242137090

How do we know 1 + 1/2 + 1/3 + 1/4 + ... diverges to infinity? pic.twitter.com/gEoogxsbCa

— Howie Hua (@howie_hua) March 15, 2023

Image Links

This problem should keep your kids busy when percent it the topic of the day
Curriculum Tags: Gr7, Gr8
https://twitter.com/jamestanton/status/1634495629853605890

Cup A contains 100 mL of juice. Cup B is empty.
I move 10% of the juice of cup A into cup B, and the 10% of the contents of cup B back into A. That leaves 91 mL in cup A.
What happens if I keep repeating this 2-step process? Will I empty cup A? Will amount of juice in A stablise? pic.twitter.com/9OAQ5vZY4U

— James Tanton (@jamestanton) March 11, 2023

    

Math Links for Week Ending Dec 16th, 2022

Featured Links

How do you feel about artificial intelligence (AI)? Or at the very least, how do you feel about a computer doing your job or your student's homework? Photomath has been around for a while and now we have ChatGPT. They are not quite the same but either way, my question is "how have you changed what you do in class now that these technologies exist?"
Curriculum Tags: All
https://openai.com/blog/chatgpt/

Asked ChatGPT to creat a lesson plan on factoring quadratics. FWIW: pic.twitter.com/pMfhyOC0Qt

— Justin Brennan (@Math_Grinder) December 16, 2022

Resource Links

In this post @JRappaport27 give us an example of a sequence of questions to "thin slice" a topic. Take the topic of your choice and this example to build your own ( and then share it out).
Curriculum Tags: All
https://twitter.com/JRappaport27/status/1603425723791859712

Building out a sequence. To provide greater access, we're being intentional with the use of language and not jumping too quickly to the symbolic. The idea is for this to cross several grade bands and for the questions to be thin sliced. Feedback on the language will be helpful. pic.twitter.com/fkVDEYQrTu

— Jordan Rappaport (@JRappaport27) December 15, 2022

And here he continues to flesh out his beginning algebra task with pattern blocks
Curriculum Tags: Gr7, Gr8
https://twitter.com/JRappaport27/status/1602757490009165825

I’ve added the learning journal to guide students as they capture their learning.@pgliljedahl @MathforLove @MrValencia24 @KirstDy @davidporas @davidpetro314 @pamseda1 @FractionTalks @BurdessAlicia @mic_epstein @shskaercher @d_martin05 @Trianglemancsdhttps://t.co/28vLVtjj4S https://t.co/RSiBTVeW2L pic.twitter.com/xyOCR32dWh

— Jordan Rappaport (@JRappaport27) December 13, 2022

Here's a way to mix up how students do problems in your class
Curriculum Tags: All
https://twitter.com/TheErickLee/status/1602393237225865254

Brainstormed this idea with a teacher to turn surface area and volume math stations into a "Math Passport" activity. Students get a stamp (a bingo dauber or a sticker) for each station they complete. Suggestions? #ITeachMath https://t.co/K6yLV5Q7wg pic.twitter.com/E2c0DLOhiJ

— Erick Lee HRCE Math (@TheErickLee) December 12, 2022

I was lucky enough to become a @Desmos fellow for cohort 3 and because of the pandemic the cohorts stopped at 4. But now they have re upped and are accepting applications for Cohort 5. I highly recommend at least trying
Curriculum Tags: All
https://twitter.com/desmosclassroom/status/1601288630806671361

📣 We’re now accepting applications for the next Desmos Classroom Fellows cohort!

If you’re a Desmos Classroom super fan or an educator wanting to learn how to tap into the power of Desmos Classroom technology in your classroom, apply now: https://t.co/oaxy9BvYd6 #MTBoS pic.twitter.com/d1Y6nKykBR

— Desmos Classroom (@desmosclassroom) December 9, 2022

Video/Audio Links

Check out @Nomad_Penguin talking about stories in math but using help from so many other fellow Twitter folks in this short 10 min episode.
Curriculum Tags: All
https://amiealbrecht.com/2022/12/03/abc-ockhams-razor-endnotes/

NEW Blog Post: ‘ABC Ockham’s Razor: Endnotes’

I was on the radio this morning, talking about the magic of storytelling in mathematics.

The blog post contains links to the audio, the transcript, and to all the sources of inspiration for the talk.https://t.co/XEh1cp5upq

— Amie Albrecht (@nomad_penguin) December 3, 2022

It is funny how people will dive into those "Only geniuses" problems but as soon as you put traditional variables in they act like a deer in headlights
Curriculum Tags: All
https://twitter.com/howie_hua/status/1603897629707972608

In video form: pic.twitter.com/70fQqS8jP1

— Howie Hua (@howie_hua) December 16, 2022

Image Links

I think there may actually be more information given here than needed. 
Curriculum Tags: MTH1W
https://twitter.com/KH2020H0/status/1603827818483286040

Solve for the length of the segment denoted as x

Geometry Challenge pic.twitter.com/7rEJquvPwL

— KHALID (@KH2020H0) December 16, 2022

@Howie_Hua continues is "on the shelf" series
Curriculum Tags: All

https://twitter.com/howie_hua/status/1603918347254370304

You've heard of elf on the shelf but have you heard of pic.twitter.com/tegS6l5PIK

— Howie Hua (@howie_hua) December 17, 2022

I love when teachers show how simple things can be
Curriculum Tags: Gr8, MTH1W
https://twitter.com/DavidKButlerUoA/status/1602586808722034688

You don’t need anything too fancy to show students how scatterplots work. Here are some ideas. pic.twitter.com/ne9VoAPGPf

— David Butler (@DavidKButlerUoA) December 13, 2022

Math Links for Week Ending Dec 2nd, 2022

Featured Links

I think it's important to show students real connections for the math they are learning. In this video, even though what is being produced is a Christmas ornament, you can see how much math a machinist needs to have in order to do their job well. Specifically, in this case, properties of geometry and some simple trig relationships.
Curriculum Tags: MPM2D, MDM2P
https://www.youtube.com/watch?v=Xno_jxnVeQk

Resource Links

Last week, @JRappaport27 posted a resource for patterning and beginning algebra. This week he added Ontario Curriculum Expectation connections. 
Curriculum Tags: Gr7, Gr8
https://twitter.com/JRappaport27/status/1598068776041598976

Hey #onted friends, I've added Ontario curriculum expectations across grades 1-3, 4-6 and 7-8. Please share with anyone who might find this useful :) https://t.co/bZ1krAsz6zhttps://t.co/QMzymZ7Fiphttps://t.co/KJdIXEZDmZ https://t.co/3aRW8WLhns pic.twitter.com/Cr4TSbld92

— Jordan Rappaport (@JRappaport27) November 30, 2022

I am continually impressed with how @MaryBourassa does simple things that can bring so much thinking out from students. I love the idea of mini presentations. 
https://twitter.com/MaryBourassa/status/1598668069446029318

My #MTH1W students are presenting about numeral systems this morning. They only have to present to 2 people as they are in random groups of 3 (this was intentional to help reduce anxiety). It fills my heart with joy to hear them all teaching each other. pic.twitter.com/APEWuHHCpL

— Mary Bourassa (@MaryBourassa) December 2, 2022

Video/Audio Links

So much cool symmetry
Curriculum Tags: All
https://twitter.com/Rainmaker1973/status/1596819301398622209

This collection of slow motion videos of objects falling in water and cornflour result in spectacular fluid motion effects, with highly unexpected but extremely satisfying geometries and shapes

[📹: https://t.co/Dx9rv9pC0K]pic.twitter.com/A20uDiyLP5

— Massimo (@Rainmaker1973) November 27, 2022

With "free", sometimes you get what you pay for. However, you can always be sure that the stuff that @RobertKaplinsky is gonna be good. In this case, he's release a free webinar about "How To Help Students Become Problem Solvers, Not Math Robots" Check it out:

Curriculum Tags: All
https://robertkaplinsky.com/norobots_webinar

I wish I realized early in my career that I was creating students who could get correct answers, yet not understand what they were doing. I shared what I've learned since then in this recording of my webinar with K-5 & 6-12 versions.https://t.co/S8d6HrcUyz #pd #MTBoS pic.twitter.com/Lt7X0uZQAu

— Robert Kaplinsky (@robertkaplinsky) November 26, 2022

Connecting area of a circle to art

Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/Ayliean/status/1593276676263256068

Dividing a circle into 7 equal area slices 🍕

Equality in Maths is just beauuutiful 💗 pic.twitter.com/WWTPYgwFq3

— Ayliean (@Ayliean) November 17, 2022

That's one way to practice Pythagorean Theorem

Curriculum Tags: All
https://twitter.com/MrOrr_geek/status/1595744862724308997

Oops, I forgot ...It was this length.

A new take on a Pile Up Problem.

Cc @natbanting pic.twitter.com/rrGf7BZcO1

— Jon Orr (@MrOrr_geek) November 24, 2022

This month we are hearing from @KirstDy about Nurturing Joy in Mathematics
Curriculum Tags: All
https://talks.oame.on.ca/season-5

Do you like data and F1? Then here you go. Thanks to @KMarkPet for pointing this one out.
Curriculum Tags: Gr7, Gr8
https://twitter.com/fastpitstop/status/1597121298416939008

Most googled Formula 1 drivers in 2022 in every countrypic.twitter.com/LTAWbfhW3l

— Stefanie (@fastpitstop) November 28, 2022

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So nice

Curriculum Tags: All
https://twitter.com/mathladyhazel/status/1598709121225736192

Only straight lines. The pure beauty of mathematics. 😲 pic.twitter.com/xQNZdkoORb

— Math Lady Hazel 🇦🇷 (@mathladyhazel) December 2, 2022

Math Links for Week Ending Nov 25th, 2022

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I'm not sure what @JRappaport27 is drinking but he's been steadily putting out quality stuff. Check out this sequence of tasks leading up to adding fractions. You can download all 78 slides at the link below:
Curriculum Tags: Gr7, Gr8
https://twitter.com/JRappaport27/status/1595145551401869313

Here's a draft of a sequence of 6 tasks. Included in the speaker notes are sample hints/prompts to support/challenge/extend thinking, sample teacher moves and assessment considerations. Feedback always appreciated :) @pgliljedahl @MrValencia24 @KirstDy https://t.co/bZ1krAsz6z pic.twitter.com/B66qn3DivI

— Jordan Rappaport (@JRappaport27) November 22, 2022

Resource Links 

In this sequence @MSBJacobs shows that you don't have to create lessons with a lot of moving parts to have students develop understanding. In this case, we are looking at algebraic expressions with a combination of virtual tiles and vertical surfaces. Check out the entire thread here:
Gr7, Gr8, MTH1W
https://twitter.com/msbjacobs/status/1595164255070085120

I tried this activity in @MsLyon16 's MTH1W class using Polypad on @MathigonOrg to help illustrate algebraic expressions. First Q: if this is x + 2 what would 3(x+2) look like? Students go to the VNPS to work in small groups: pic.twitter.com/H4EOyLnLvF

— Michael Jacobs (@msbjacobs) November 22, 2022

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Having just done a workshop at NCTM about visualizing multiplying and dividing fractions (https://bit.ly/nctm2022petro), I totally resonate with this post.
Curriculum Tags: Gr7, Gr8
https://twitter.com/howie_hua/status/1594017134278893568

New TikTok video: How do we VISUALLY show why we flip the second and multiply when dividing fractions? pic.twitter.com/HEAVjFk0pf

— Howie Hua (@howie_hua) November 19, 2022

Nice visualization of half life
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/TimBrzezinski/status/1593976532023877632

Half-life function illustrated. Notice the half-life of substance does not depend on the initial amount! https://t.co/S3qyxae5sJ & https://t.co/l9VfJbcTjd @geogebra #MTBoS #ITeachMath #math #mathchat pic.twitter.com/fmoFQwDsVx

— Tim Brzezinski (@TimBrzezinski) November 19, 2022

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Even if you are not a fan of Pokemon, you may like this quick reminder of 8 practices all math students should engage in
Curriculum Tags: All
https://twitter.com/howie_hua/status/1594813942748311553

8 Mathematical Practices meme pic.twitter.com/bIYmq75dZY

— Howie Hua (@howie_hua) November 21, 2022

What's the minimum/maximum number of calculations needed to find the blue area?
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/KH2020H0/status/1593740152798576640

What is the area of the region shaded in blue?
The below figure is a square of perimeter 24 cm. pic.twitter.com/psv7l1oVwY

— KHALID (@KH2020H0) November 18, 2022

Thank you IKEA
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/mathillustrated/status/1593074964155858944

Still one of my favorite #geometry pictures from @IKEAUSA #ITeachMath #ouch pic.twitter.com/BD5PpMTm1R

— Ralph Pantozzi (@mathillustrated) November 17, 2022

Math Links for Week Ending Aug 19th, 2022

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There is something for everyone here in terms of math content (from elementary all the way to calculus) but really it's about proving stuff. It's too bad that we don't have our old Algebra & Geometry course anymore because this would be perfect for it. However, just the visuals that he produces, alone, are worth the watch. Even the one about the "missing" in the triangle. 
Curriculum Tags: All
https://www.youtube.com/watch?v=VYQVlVoWoPY

Resource Links

Who doesn't want a mashup of Mathigon and @Fawnpnguyen's Visual Patterns
Curriculum Tags: Gr7, Gr8, MTH1W
https://mathigon.org/task/visual-patterns

Polypad is a great tool for exploring visual patterns. We've created interactive versions of 20+ visual patterns to help students engage in algebraic thinking. View the Polypad collection, some designed by @fawnpnguyen, at https://t.co/VBlH0Mhj8d pic.twitter.com/7dJaV1Qr8P

— Mathigon (@MathigonOrg) August 18, 2022

Have you been using @Desmos Activity Builder in your classroom then you may want to follow @DesmosClassroom 
Curriculum Tags: All
https://twitter.com/desmosclassroom/status/1559583373751791616

👋Hey hey—your friends at Desmos Classroom are now on Twitter! Follow us for the newest fun in math education technology. We'll be posting lessons & activities, tutorials, giveaways, events, maybe even a joke or two. Say hey! #MyDesmosClassroom #mtbos #iteachmath pic.twitter.com/RILTCz0WtP

— Desmos Classroom (@desmosclassroom) August 16, 2022

We have a pizza place near us that will sometimes replace a large pizza with two smalls not realizing that two smalls (even though together they have a total diameter that is bigger than the large) have a smaller area than the large. It's a great problem to pose to students when calculating the area of circles and this site has a nice interactive to go along with that problem
Curriculum Tags: Gr7
https://flowingdata.com/2022/07/26/pizza-exchange-rate/

Video Links

Who doesn't like moving tessellations?
Curriculum Tags: All
https://twitter.com/sjpalmer1994/status/1560576142712524800

Some assembly required... pic.twitter.com/xy28d24Uaj

— Sam Palmer (@sjpalmer1994) August 19, 2022

Who knew that repeated powers had a name?
Curriculum Tags: MTH1W
https://twitter.com/howie_hua/status/1560431211717177344

New TikTok video: Multiplication is repeated addition, exponentiation is repeated multiplication, is there something after that? pic.twitter.com/Q6sCCzqVVj

— Howie Hua (@howie_hua) August 19, 2022

I've always loved this demonstration of the binomial distribution
Curriculum Tags: MDM4U
https://twitter.com/MagicPi2/status/1560553402081447936

As you rotate the Galton Board, you set into motion a flow of steel beads that bounce with equal probability to the left or right through several rows of pegs. As the beads accumulate in the bins, they approximate the bell curve, as shown by the yellow line. pic.twitter.com/x1ic3AI1Vr

— Idan Tal (@MagicPi2) August 19, 2022

These balls trace out the perimeter of a series of regular figures all with the same side length. The visual is pretty neat. 

Curriculum Tags: All
https://twitter.com/MagicPi2/status/1560232811562401793

Dancing Points on Regular Polygons
Geogebra resource: https://t.co/bt8qllKrcd
Credit: https://t.co/eQfDhiuEvv#mtbos #iteachmath #Math #Maths pic.twitter.com/MLboTZQhTU

— Idan Tal (@MagicPi2) August 18, 2022

Do you need an idea of how to randomize groupings for your Thinking Classroom?

Curriculum Tags: All
https://twitter.com/joelbezaire/status/1559205984395993088

This is how I do my “Variable Random Grouping” #vrg , in my adaptation of a #thinkingclassroom. I don’t use all the facets of thinking classrooms but this part has been a game changer for my teaching. pic.twitter.com/pS8vwSZ15J

— Joel Bezaire (he/him) (@joelbezaire) August 15, 2022

Applications of Trig via Tom & Jerry? Well you could have your students check the math
Curriculum Tags: MPM2D, MCF3M, MCR3U
https://twitter.com/UniverCurious/status/1558834833207562243

Math is cartoons.pic.twitter.com/t1MzHKTmWU

— Universal Curiosity (@UniverCurious) August 14, 2022

Image Links

Given that we had that nice video of the binomial distribution, it's fitting that XKCD has a cartoon related to it as well. 
Curriculum Tags: MDM4U
https://xkcd.com/2659/

    

Math Links for Week Ending Jul 22, 2022

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Are you looking for some free PD from some technology experts? Then look no further then this series of virtual sessions:
Curriculum Tags: All
http://tinyurl.com/helpimteachingmath

Teaching #math? You're invited to four 2-hr PD sessions that'll help you get started w/using @geogebra, @GraspableMath, @MathigonOrg, & @Desmos to engage Ss in fun & meaningful learning! Sponsored by @IowaMathTeach. @davidporas @MrCorleyMath
More info: https://t.co/ktIWsyJy8r pic.twitter.com/Ku4XJBGytV

— Tim Brzezinski (@TimBrzezinski) July 16, 2022

Resource Links

I used to like this theorem when it was in the old gr 13 Algebra and Geometry course but now it's back in the new gr9 course.
Curriculum Tags: MTH1W
https://twitter.com/TimBrzezinski/status/1549771605185888257

Inscribed angles in circles: Quick intuitive investigation. https://t.co/ZXYYugFHpi @geogebra #MTBoS #ITeachMath #geometry #geomchat #math #mathchat pic.twitter.com/jWCv3DBE48

— Tim Brzezinski (@TimBrzezinski) July 20, 2022

Video Links

There are many more resources about solving equations than this video but even if you just watch it, you'll get three different strategies. 
Curriculum Tags: Gr7, Gr8, MTH1W
https://makemathmoments.com/how-to-teach-algebra-3-models-for-solving-2-step-equations/

I have always liked teaching Simpson's Paradox
Curriculum Tags: MTH1W
https://twitter.com/howie_hua/status/1548383836051890176

New TikTok video: The Simpson's Paradox pic.twitter.com/1Gbx5F2k0E

— Howie Hua (@howie_hua) July 16, 2022

I think it's an interesting question to ask what the expected value is when you roll two dice and get to pick the value of the largest. I love the visual models he uses and the detailed algebraic representations. 
Curriculum Tags: MDM4U

https://www.youtube.com/watch?v=X_DdGRjtwAo

Image Links

The session I'm doing at NCTM in Los Angeles this year is on this very thing
Curriculum Tags: Gr7, Gr8
https://twitter.com/edsouthall/status/1550039912724025345

It's not surprising that division of (and by) fractions is difficult to get your head around pic.twitter.com/KK0krp0TM1

— Ed Southall (@edsouthall) July 21, 2022

This week's #MathPhoto22 is using #symmetry as it's theme
Curriculum Tags: All
https://twitter.com/jnovakowski38/status/1550229149511344128 

Happy to be hosting week seven of #mathphoto22 - where do you see #symmetry in the world around you? #symétrie #simetria pic.twitter.com/ajF0Pn0BUq

— Janice Novakowski (@jnovakowski38) July 21, 2022

Math Links for Week Ending May 13th, 2022

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Although I think this could be a divisive issue, I don't think it's a real issue. That is, there are people that look at a question like this and say students must solve by some algebraic method. But in the way it's asked, there is no indication that a particular method is required. And so if a student were to use graphing (which is completely legitimate) or even substitution of values (also completely legitimate) they should be given full credit. Luckily, here in Ontario, we can take care of this by just asking the question in the right way. Since we have the four assessment categories, if we ask this question in this way, then it is an application question since students can choose the method that they want to use to answer. If you want to make sure they use algebraic methods then you could just tweak how you ask the question and add bit to the front end of the question "Use an algebraic method to show which polynomial is equivalent...." and now it's a knowledge question
Curriculum Tags: All
https://danmeyer.substack.com/p/are-we-teaching-tricks-or-just-different?s=w

I have people in my DMs concerned that @Desmos is helping students learn tricks to pass their state's end-of-course exams. I spent some time looking at their concerns, and the exams, in my latest newsletter. https://t.co/UZ7tZTQQQD pic.twitter.com/l9lhFQrOhn

— Dan Meyer (@ddmeyer) May 12, 2022

Resource Links

OAME 2022 - My talk this year at OAME was about introducing solving equations with a bunch of resources (Splat!, SolvmeMobiles and much more) including an update to my equation strips activities to now include physical and @desmos card sorts. 
Curriculum Tags: Gr7, Gr8
Presentation - http://bit.ly/oame-petro
Equation Strips - http://engaging-math.blogspot.com/2017/01/equation-strips.html

OAME 2022 - I was the tech host for a couple of sessions from @fredouellet0 on Clothesline Math and using @Desmos and even though they were in French, there was a lot of info to be had and resources that you could adapt to english. Check them out here:
Curriculum Tags: All
https://bit.ly/CALM-OAME2022
https://bit.ly/Desmos-OAME2022

OAME 2022 - @StandupMaths was one of our Keynotes at #OAME2022 and he reminded me of this great sets of data to show that you have to look at the data and not just the five number summary. All of these data sets have the same mean, standard deviation,  correlation and more. 
Curriculum Tags: MDM4U
https://www.autodesk.com/research/publications/same-stats-different-graphs

I like focussing on the area representations of Pythagorean Theorem. And I like it even more when people build resources to help me do that
Curriculum Tags: Gr8, MTH1W
https://twitter.com/TimBrzezinski/status/1522656683897589766

Messing around with a Pythagorean theme in @MathigonOrg : https://t.co/ezjsH6ANBx & https://t.co/9tnycbpuFA. #MTBoS #ITeachMath pic.twitter.com/ceBQLx2Kl6

— Tim Brzezinski (@TimBrzezinski) May 6, 2022

Video Links

I'm a sucker for these fractal animations that seem to go on for ever. 
Curriculum Tags: All
https://twitter.com/pickover/status/1522969495526072320

Mathematics, fractals, infinity.

This mathematical object is called a "Sierpiński Carpet." As with other fractals of this kind, we can magnify it forever and continue to see more details. https://t.co/QviMCGywvk pic.twitter.com/ChDtQsTKh7

— Cliff Pickover (@pickover) May 7, 2022

Such a simple movement creates such a complex result
Curriculum Tags: All
https://twitter.com/pickover/status/1523085616262660097

Mathematics.

Look closely. Each dot moves around a little square. https://t.co/KJ21ZCQCDP pic.twitter.com/FS0CEqnyyW

— Cliff Pickover (@pickover) May 7, 2022

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These sorts of comparisons are always good for a rich discussion on percents
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/realJ_Mitchell/status/1522983399107055617

Discussion while shopping.
“What’s the better deal?”
Now wondering how to turn this into a #ThinkingClassroom task for Monday. pic.twitter.com/O0SoPAgtlL

— Jamie Mitchell (@realJ_Mitchell) May 7, 2022

It's pretty cool that this is a quilt
Curriculum Tags:All
https://twitter.com/GeomeTribal/status/1522850900632641536

Take a moment to appreciate the amazing optical effect of this 19th-century quilt. The black triangles create a deep background, really emphasizing the 3D effect!

Besides its great design, this quilt also holds a bit of history.
(Thread) pic.twitter.com/t96dC3kTwM

— Ancient Geometry (@GeomeTribal) May 7, 2022

Do you have kids working with Square Roots? Have them try to prove this is true
Curriculum Tags: MTH1W

https://twitter.com/pickover/status/1522739238181212160

Wow. Ramanujan's equation. Goes forever. Equals 3. Click to magnify. pic.twitter.com/QgRQJMz19w

— Cliff Pickover (@pickover) May 7, 2022

Math Links for Week Ending Apr 22, 2022

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I have definitely featured this site before but I think Would You Rather is a great math starter and @JStevens009 continues to add to the list of prompts. So if you haven't seen it before, now is the best time to start. 
Curriculum Tags: All
https://www.wouldyourathermath.com/would-you-rather-81/

Resource Links 

A couple of @MakeMathMoments activities featured on @MrOrr_Geek's site. These are full multi day lessons with all the videos and supports. The first is on linear patterns and the second is on data literacy (including misleading graphs)
Curriculum Tags: Gr7, Gr8
https://learn.makemathmoments.com/task/bird-migration/
https://learn.makemathmoments.com/task/olympics-revisited/

Video Links 

It's never too late to get started with @Geogebra. This primer is from @MrValencia24
Curriculum Tags: All
https://www.youtube.com/watch?v=p9w8luL-A6A

I love Cliff Stoll. And especially his manufacturing of Klein bottles. And now a Coke Klein bottle? So good.
Curriculum Tags: All
https://www.youtube.com/watch?v=q8Umr0BLMiU

Image Links 

It looks friendly but can you solve it?
Curriculum Tags: Gr8
https://twitter.com/pickover/status/1517324259030405121

Mathematics.

Find the missing angle. How did you find it? (Assume the horizontal lines are parallel.) https://t.co/yY4xd1uQvD pic.twitter.com/W6SrRD6HbA

— Cliff Pickover (@pickover) April 22, 2022

So beautiful
Curriculum Tags: All
https://twitter.com/pickover/status/1517323348564492288

Mathematics, geometry, beauty.

Sometimes, Persian symmetries are like a poem, a dream, or a prayer. Shiver. Nasir Al-Mulk Mosque in Shiraz. pic.twitter.com/eCdUwBH7lQ

— Cliff Pickover (@pickover) April 22, 2022