Math Links for Week Ending Apr 28, 2023

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This week is the OAME2023 conference. Since 2003 I have presented at every conference except 2005. Most years I present entirely new topics though there are some repeats. This year I did a new session on Equation Strips and re did my session on Desmos Challenge Creator plus I updated my 2006 presentation on Math Podcasts for the virtual conference. Most of the slide decks can be found below:
Curriculum Tags: All
https://bit.ly/oame-petro

Resource Links 

OAME2023 - Now that there are some expectations about circles in the MTH1W curriculum, I'm happy to see people talking about them. Check out some of @MSBJacobs' slides for these and other topics
Curriculum Tags: MTH1W
https://www.blogger.com/blog/post/edit/1679081283627498859/292581499102861968#

It’s been a while since i’ve worked with circle theorems and @msbjacobs gave us those, triangle properties and more with physical and @geogebra manipulatives https://t.co/OhrHar16SQ#MathChat #iTeachMath #MTBoS pic.twitter.com/sO1NhFHCxe

— David Petro (@davidpetro314) April 27, 2023

OAME2023 - I have shared a lot of @DavidPoras' stuff here but it's always nice to see him live taking us through some #Polypad tips and tricks
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https://student.desmos.com/join/7gd8g4

I'm happy to see @davidporas back to present at #OAME2023 this year. I always learn something in his sessions. Check out his @desmosclassroom activity giving us tips and tricks for using #Polypad from @MathigonOrg https://t.co/DWtD6nSxte#MathChat #MTBoS #iTeachMath pic.twitter.com/8vAwkXTWoD

— David Petro (@davidpetro314) April 27, 2023

OAME2023 - Peter Taylor has always been a great source of good problems. He's got a pile of them on his Rabbitmath Site
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https://www.rabbitmath.ca/

Peter Taylor was back at #OAME2023 giving us wonderful problems to work on. You can find them all at his RabbitMath site. Click on the Curriculum link to see all the fully documented activities.https://t.co/GGRE4z30Ok#MathChat #MTBoS #iTeachMath pic.twitter.com/C4Mf5rHl8i

— David Petro (@davidpetro314) April 28, 2023

And if you are interested in being part of some research with Peter Taylor and Christine Suurtaam, then follow this link:

Curriculum Tags: All

https://www.rabbitmath.ca/announcement

Calling all Ontario Secondary #math teachers. Do you want to participate in research about how you work with creative problems in your classes? There is funding for you to go and tell your storyhttps://t.co/Om3dfXJEld#MathChat #MTBoS #iTeachMath pic.twitter.com/FGmxwAnaAK

— David Petro (@davidpetro314) April 28, 2023

Seeing as we just mentioned circle theorems, above, it is fitting that @Mathigon shared this activity dealing with how Eratosthenes was able to measure the circumference of the earth using some of these ideas. 

Curriculum Tags: MTH1W
https://mathigon.org/course/circles/tangets-chords-arcs#eratosthenes

Happy #EarthDay! More than 2000 years ago, the Greek mathematician Eratosthenes found a way to measure the radius of Earth just using shadows, angles, and simple geometry. Learn more at https://t.co/eXCWnJgq9B pic.twitter.com/lh82JtNusD

— Mathigon (@MathigonOrg) April 22, 2023

Here's another compilation post from @MathsJem. They do the same as me in finding stuff and sharing their finds so I always appreciate when people do that
Curriculum Tags: All
https://www.resourceaholic.com/2023/04/5-maths-gems-169.html

New! My 169th gems post. Ideas, updates and resources for maths teachers. 💎

Quite a lot of revision resources in this one.https://t.co/eMgrrWkm9A

Hap tips to follow.#mathsgems #mathstlp #teammaths #mathschat pic.twitter.com/QwrmgqDHJo

— Jo Morgan (@mathsjem) April 23, 2023

Here is a suite of premade activities from @Geogebra that cover many topics in a dynamic way including Number Systems, Ratio and Proportion, Geometry, Coordinate Geometry, Probability, Statistics, Area, Volume and Surface Area. Thanks to @MrValencia24 for pointing this out

Curriculum Tags: All
https://www.geogebra.org/m/bwdqrnjb

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Here's another cool example of someone using these new aperiodic tiling pattern to create something amazing. 
Curriculum Tags:All
https://twitter.com/jon/status/1651539380786413569

the hat trick

12 pentagons and 60 hats come together to create an extremely satisfying sphere pic.twitter.com/I1MN7fQNLk

— jon (@jon) April 27, 2023

Another point that I agree with @Howie_Hua on, use some common sense. Just because things look complex, they aren't.
Curriculum Tags: MCR3U
https://twitter.com/howie_hua/status/1651742577580998656

New TikTok video: Don't get lost in the procedures pic.twitter.com/b7P7tG0vHT

— Howie Hua (@howie_hua) April 28, 2023

Image Links 

OAME2023 - We had @MathForLove as our opening keynote and he talked about the importance and implications of incorporating play in math class
Curriculum Tags: All
https://mathforlove.com/oame-keynote-how-mathematicians-play/

At the #OAME2023 opening keynote @MathforLove tells is that if we let kids play in math class, this is what they’ll learn. https://t.co/T1n94h6vrM#MathChat #iTeachMath #MTBoS pic.twitter.com/hqsfyfwMIL

— David Petro (@davidpetro314) April 27, 2023

If you are not sure what Midjourney is, it is an AI where you can put topics in and it will try to create images based on your topics. In this case, it's the interpretation of these mathematical concepts that produce these awesome images. Be sure to look at the whole thread.
Curriculum Tags: All
https://twitter.com/TivadarDanka/status/1649721970886594561

I described some of the most beautiful and famous mathematical theorems to Midjourney.

Here is how it imagined them:

1. "The set of real numbers is uncountably infinite." pic.twitter.com/l7lOH8f0xc

— Tivadar Danka (@TivadarDanka) April 22, 2023

Here's a nice partial variation prompt 
Curriculum Tags: MTH1W
https://twitter.com/sonukg4india/status/1649222362372673536

#morning with #math pic.twitter.com/mGHRl274Ff

— SKG (@sonukg4india) April 21, 2023

    

Math Links for Week Ending Apr 21, 2023

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I'm a big fan of math based games. Especially when they can be used to hone basic skills. In this case, multiplication facts in the form of a "tic tac toe" style game called Number Hive that you can play against an AI or another online player. And I really like this description and endorsement by @MathGarden. It's pretty easy to get started and play so give it a shot. 
Curriculum Tags: All
https://sunilsingh-42118.medium.com/number-hive-the-clever-gamification-of-factual-fluency-bf37cc7ad3a8

Resource Links

I like a a good "real world" math task. In this case we are looking at whether buying the Subway footlong pass is worth it. In this case @GeoffKrall breaks it down including a rubric for this linear relations activity
Curriculum Tags: MTH1W
https://emergentmath.com/2023/03/23/is-the-subway-footlong-pass-worth-it/

Video Links

I always like how @Howie_Hua breaks down why math "tricks" work. In this case, I don't know if I would call this a classic trick but I have done this sort of algebraic break down for similar problems with my students. 
Curriculum Tags: MTH1W, MPM2D, MFM2P
https://twitter.com/howie_hua/status/1648482560119570432

New TikTok video: In my opinion, it is a missed opportunity if we don't talk about this in algebra class pic.twitter.com/myZdG3RZeB

— Howie Hua (@howie_hua) April 19, 2023

Image Links

When you're introducing the idea of an ordered pair to students, it's often good to start with an image like this to get them thinking about quadrants in a less numerical way.
Curriculum Tags: Gr8, MTH1W, MFM2P
https://xkcd.com/2754/

    

Math Links for Week Ending Apr 14, 2023

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I have been adding podcasts and recorded radio shows that feature math in a direct or indirect way for years to this page (seriously, for more than 15 years). This year, one of my sessions at OAME 2023 is on listening to Math based podcasts. I've added a few more and you can see my whole list here:
Curriculum Tags: All
http://ontariomath.blogspot.com/p/podcasts.html

[Page updated] - New podcasts added to my page on #math related podcast, including @debatemathpod @statsandstories and Carry the Twohttps://t.co/VMJB1Oko9v#MathChat #MTBoS #iTeachMath pic.twitter.com/J0KEWEAHza

— David Petro (@davidpetro314) April 9, 2023

Resource Links

You can always count on @DavidKButlerUoA for interesting resources. If you are at all into looking at statistics and data then I would not miss his set(s) of Data cards.
Curriculum Tags: Gr7, Gr8, MBF3C, MAP4C, MDM4U
https://twitter.com/DavidKButlerUoA/status/1645894205439610881

New improved Carnivorous Plant data cards. Enjoy!
(PDF printable and Excel data here: https://t.co/MKFUqZfVhE ) pic.twitter.com/c5av3FfdkL

— David Butler (@DavidKButlerUoA) April 11, 2023

Video Links

What a fun, non mathematical way to show that f(g(x)) does not equal g(f(x))
Curriculum Tags: MCV4U
https://twitter.com/TimBrzezinski/status/1643991740863627264

#RealLife non-math example that illustrates why function composition is not commutative. #MTBoS #ITeachMath pic.twitter.com/igWZyFx8Fl

— Tim Brzezinski (@TimBrzezinski) April 6, 2023

This demystifies why you get a positive when you divide two negatives. IE go back to first principals
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/howie_hua/status/1645944160640438272

How I would explain why a negative divided by a negative is a positive pic.twitter.com/1AFlRkhJGd

— Howie Hua (@howie_hua) April 12, 2023

It would be cool to have kids find these multiples on their own in Pascal's Triangle
Curriculum Tags: All
https://twitter.com/74WTungsteno/status/1645789158353551362

Multiples of a number in Pascal's Triangle 🔻🔻🔻https://t.co/QBR8Ur1Ygk#math #science #iteachmath #mtbos #visualization #elearning #algebra pic.twitter.com/g0X81ycVIy

— Tungsteno (@74WTungsteno) April 11, 2023

It's always cool when patterns appear where they, at first, don't seem to exist
Curriculum Tags: All
https://twitter.com/pickover/status/1646637677800833026

Viewing reality from different perspectives.

The hidden patterns and structure in the veils of our lives.

I've found this animation in ~12 Reddit groups from 5 years ago. Does anyone know the original source, so we can give credit? Example source: https://t.co/YPCdssPNLP pic.twitter.com/7FSZnoAjhP

— Cliff Pickover (@pickover) April 13, 2023

Image Links

This seems simple enough (in the set up) but it still makes you think about what happens in the long term
Curriculum Tags: MCV4U, MCR3U, MHF4U
https://twitter.com/jamestanton/status/1644652304501547010

[Classic:] Starting with 0, 1 each term of this sequence beyond the second is the arithmetic average of the two terms just before it. Does this sequence seem to approach a specific value in the long run?
(What if start with two arbitrary numbers a and b?) pic.twitter.com/WpJfCcS8Zr

— James Tanton (@jamestanton) April 8, 2023

  

Math Links for Week Ending Apr. 7, 2023

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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