Math Links for Week Ending Oct. 18th, 2019

Featured Links
Sometimes when things are free, you get what you pay for. But other times, like this one, a super powerful software package that had a price tag, has become free. In this case that is the Autograph dynamic math package. I have always liked this but because there was a cost, I never bothered with it since we already had things like Desmos and Geogebra (and here in Ontario, Geometer's Sketchpad) available for free to teachers and students. So now everyone can try Autograph out.
Curriculum Tags: All
https://completemaths.com/autograph

You can download Autograph for free from the Complete Maths websitehttps://t.co/ADXgnh2V2S

This initial launch brings PC and Mac (depends on OS) desktop versions.

Soon, we will add a new Mac version and a web application version for mobile devices.

— Autograph Maths (@autographmaths) October 12, 2019

Resource Links
A new @Desmos activity to investigate angle relationships
Curriculum Tags: Gr8, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/5d896650e796e00c23556d76

💥💥💥Brand new activity from the @Desmos Team: Puzzling it out ! Students solve angle puzzles to apply what they’ve learned about angle relationships and to informally learn the Triangle Sum theorem #desmos #MTBoS #iteachmath https://t.co/L2XiAPCI0S pic.twitter.com/VW5DLErOYd

— Jocelyn (Joce) Dagenais (@jocedage) October 11, 2019

Make sure you read through the comments to see all the ways mathematical vocabulary can hang up students.
Curriculum Tags: All
https://twitter.com/bstockus/status/1183773482460553217

Vocabulary is a roadblock for students who struggle with mathematics, and for many reasons:

— Brian Bushart (@bstockus) October 14, 2019

I always like to promote new books coming out by the math teachers in the Twitter world and this time it's @robertkaplinsky who has an @OpenMiddle book coming out at the end of the month. And right now, if you preorder, there is a discount.
Curriculum Tags:All
https://twitter.com/robertkaplinsky/status/1184955244175749121

Hey @openmiddle fans. My book comes out in 11 days and the 10% off coupon (OPEN10) expires on 10/28. So if you were considering checking it out, head over to https://t.co/7tvRm4TVIa. If you want to learn more about it, read this blog post: https://t.co/RCm64ACjWn #OpenMiddleBook pic.twitter.com/ZRIqElbyes

— Robert Kaplinsky (@robertkaplinsky) October 17, 2019

Opinion Links
From a session lead by @AlexOverwijk, a good sentiment for any school or department:
Curriculum Tags: All
https://twitter.com/aledaklassen/status/1185016447141142528

Thanks, @AlexOverwijk, for making explicit what I have felt for a while:

Teachers can make more of an impact when they work together and believe they can positively affect learning and effect change. #collectiveteacherefficacy #teamteaching #wrdsbmathhttps://t.co/Wn3VZHFkJM

— Aleda Klassen (@aledaklassen) October 18, 2019

Video/Audio Links
Some awesome addition of vectors applications here. Definitely a surprising result but it really shouldn't be if physics works the way it's supposed to
Curriculum Tags: MCV4U
https://www.youtube.com/watch?v=M4-L8UgPkOk

I have started the second season of the @OAMEtalks podcast (everyone has a podcast now, right?). This month we previewed the webinar from @jboninducharme
Curriculum Tags: All
https://talks.oame.on.ca/season-2

Image Links
Though this is science related, I think the sentiment of persistence and hard work are the order of the day with this post of a Nobel Prize winner's rejection letter of her research from Nature. Something for our students to see.
Curriculum Tags: All
https://twitter.com/pipcosper/status/1182799512621977600

This is the rejection letter for the work that just won the Nobel Prize. Don’t stop believing!
I should save all of mine and maybe one day some stranger will think it’s an amazing relic and tweet it... pic.twitter.com/JuJHkLkXnw

— Pippa Cosper MD, PhD (@pipcosper) October 11, 2019

Math Links for Week Ending Oct. 11th, 2019

Featured Links
Hey, it's Global Math Week. That means it's time to get your kids to explode some dots. You still have time to get your class hooked up. The great thing about exploding dots is that it is appropriate all age groups. It's got a low floor and the math can go way into grade 12 polynomials. Check out the intro video from @JamesTanton and then sign up your class at the Exploding Dots website below.
Curriculum Tags: All
https://www.explodingdots.org/

Resources Links
Wholly moly, when I agreed to be part of the Making Math Moments Virtual Summit, I didn't realize the calibre of the speakers that I would be aligned with. Check out the speaking list and reserve your spot for next month's virtual conference.
Curriculum Tags: All
https://makemathmoments.com/summit/



And for some more virtual talks on Fractions, check out this list.
Curriculum Tags: Gr7, Gr8
https://mailchi.mp/cbecfc374a43/jll38bi0dt-2671469?e=[UNIQID]

In this week's article, we get to look at Fractions #onhere and how they are discussed or used inside and outside the #MTBoS. https://t.co/GPWL62eXfV

S/O to #MTBoSers@AsymptoticLiz @DingleTeach @BerkeleyEverett @gfletchy

— Lauren Baucom (@LBmathemagician) October 9, 2019

Here's a nice resource from @HTheijsmeijer where she collected and organized a pile of grade 9 EQAO questions by strand
Curriculum Tags: MFM1P, MPM1D
https://twitter.com/HTheijsmeijer/status/1180477995640864770

Released this week - a curation of released grade 9 EQAO questions by strand and curriculum expectation (academic & applied). https://t.co/Cx45lqCX26 #MTBoS #iteachmath #icoachmath #onted #mathchatont

— Heather Theijsmeijer (@HTheijsmeijer) October 5, 2019

Here's a great idea when dealing with radian measure
Curriculum Tags: MHF4U
https://twitter.com/mathhombre/status/1181917244416114688

Probably my favorite data of the year. Birthdays in radians. pic.twitter.com/IoB1W6vkdM

— John Golden 🔗 (@mathhombre) October 9, 2019

And check out the connection of the above Tweet to @BenOrlin's recent post
Curriculum Tags: MHF4U
https://mathwithbaddrawings.com/2019/10/09/whats-the-radius-of-a-day/

Opinion Links
As someone who has provided PD for teachers for many years I totally know that sometimes that PD falls flat. And everyone has an opinion on what PD they don't like but often don't have ideas about how to make it better. In this post @MarkChubb3 has some insight about what good PD could look like.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2017/03/26/professional-development-what-should-it-look-like/

Video Links
This is an older post but it's the first time I saw this video from @Buzzmath. Cool stuff for dealing with collecting like terms and solving equations. Check out the link for other resources from @RobertKaplinsky
Curriculum Tags: MPM1D, MFM1P
http://robertkaplinsky.com/work/what-does-2000-calories-look-like/


Image Links
What a great way to help kids (really, all humans) really get a sense of how big a billion is.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/MikeFlynn55/status/1182095626193920000

This kind of math floors me. Just when I think I have a sense of the magnitude of 1 billion, something like this comes along and blows me away. pic.twitter.com/m7hJmSPjrM

— Mike Flynn (@MikeFlynn55) October 10, 2019

Math Links for Week Ending Oct 4th, 2019

Featured Links

In the latest episode of @Freakonomics Radio, they take on Math Education in America. They are not looking at the methods of teaching, however. They are looking at what is actually being taught and "spoiler altert" their data shows we should dump calculus and focus on data literacy. I definitely agree. Don't get me wrong, I love teaching calculus but very few people actually need it. There were a couple of bits that I liked, one was about the difference between what college professors wanted from students compared to what high school teachers thought they needed for college and how different those things were and the other was the survey results on who used which parts of math.

Curriculum Tags: All
http://freakonomics.com/podcast/math-curriculum/

Resource Links
Though in Ontario, there is no math course that teaches scientific notation directly, it is taught in the science courses. Here is a quick little @Desmos activity to help with that process. There are some nice animations and sorts to help students represent large and small numbers.
Curriculum Tags: All
https://blog.desmos.com/articles/new-scientific-notation-activity/


Here is a short and sweet dynamic tool to use when teaching the unit circle.
Curriculum Tags: MCR3U, MCF3M, MHF4U
https://twitter.com/von_Oy/status/1179509317629829121

Just something small here. A @Desmos unit circle for all those of you who are teaching trig this year.

And yes...the point *is* draggable around the circle.https://t.co/1smXYDDLyz pic.twitter.com/lCNjnlFWcg

— Suzanne von Oy (@von_Oy) October 2, 2019

For those of you who like to create your own @Desmos activities, they have just added the ability for students to upload photos into graphs while in Activity Builder.
Curriculum Tags: All
https://twitter.com/Desmos/status/1178718901351469056

New feature alert –

– students can now upload images in graphs in activities –

💣🤯🧹

All of you folks who assign graph art projects ... this is what you've been asking for.

— Desmos.com (@Desmos) September 30, 2019

Video Links
I love these videos of this YouTuber who does tool and mold making videos. So much practical geometry to show kids that there are applications to a lot of the stuff we do. In the first video he walks through the method to determine the centre of radius for a complicated shape but my favourite part was adjustable parallel tool (at about 8 min in) that he used in the second video where he is actually marking a cylinder in order to cut it into a hexagonal prism. The video is about how you could do such a thing if you didn't have a special "indexing" tool to do so.
Curriculum Tags: MCR3U, MBF3C, MCF3M, MCT4C, MAP4C
https://www.youtube.com/watch?v=ro1I03ktSa4
https://www.youtube.com/watch?v=_qYdcolOhGQ

It's cool to see all the math that goes into this Desmos graph to make the "caterpillar" springy. Great for any class dealing with complex functions to look at
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/SumDumThum/status/1178917272733155329

Made an adorable stretchy caterpillar today: https://t.co/hsEhMLWmme pic.twitter.com/qLa21YK8ep

— Andrew Osborne (@SumDumThum) October 1, 2019

Image Links
I love that Canada is number one here. What questions come to mind with this infographic
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
https://twitter.com/joe_sisco/status/1180199831421235205

Nice graphic. @davidpetro314 @MathletePearce pic.twitter.com/mDEIxyXMNE

— Joe Sisco (@joe_sisco) October 4, 2019

Math Links for Week Ending Sept. 27th, 2019

Featured Links
Looking for resources on Climate change for Math class? Well so was @Stoodle and he got some great suggestions in the comments.  My favourite was the one on Teaching Climate Change with 24 New York Times Graphs. Check them all out in the comments
Curriculum Tags: MBF3C, MDM4U, MAP4C
https://twitter.com/stoodle/status/1175010969300414464

Completely too late to do this properly, but anyone have a good math-y climate change thing I could start class with? #MTBOS even just a graph we could notice/wonder

— Mattie B 🏳️‍🌈 (@stoodle) September 20, 2019

Resource Links
Are you looking for a new idea for kids to work on their spacial and proportional reasoning skills? Then @MarkChubb3 has some new puzzles for you. I really like his Skyscraper puzzles and these ones, I think are just as good. Give students one of each relational rod and have them cover up the figure seen. He's got several different templates for students to try.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2019/09/25/spatial-puzzles-cuisenaire-cover-ups/

Video/Audio Links
A bunch of new podcasts added to the Math Podcast Page. The first one is a nice episode from @PlanetMoney on how using mode when talking about "average" changes the demographic.
Curriculum Tags: MBF3C, MDM4U
https://www.npr.org/2019/08/28/755191639/episode-936-the-modal-american

Also, the second season of the Estimation 180 podcast has started. And if you use the Estimation 180 website, this is a nice companion.
Curriculum Tags: All
http://www.estimation180.com/podcast.html







Though not a math related podcast, in general, the @AllusionistShow is great podcast about language and in this episode where they talk about indefinite hyperbolic numerals like 'zillion', 'squillion' and 'kajillion'.
Curriculum Tags:All
https://www.theallusionist.org/allusionist/zillions

The @StoryColider is a great story telling podcast about science (and sometimes math). I this episode, the second story is about Will Tran winning a math award in school after cheating on a math contest.
Curriculum Tags: All
https://www.storycollider.org/stories/2019/6/24/youthful-indiscretions-stories-about-being-young-and-dumb



Image Links
Who doesn't like Calculus humour
Curriculum Tags: MCV4U
https://twitter.com/centerofmath/status/1175030600836812801

We think everyone deserves a second derivative at the end of a long week!#FunFriday #DOMATH pic.twitter.com/5kOh7Rw06i

— Center of Math (@centerofmath) September 20, 2019

Looking for a challenge problem when dealing with geometric properties? Here's a way you could go. I love the use of the word "wonky"
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/jamestanton/status/1175396207029440513

Draw a wonky five pointed star. The five angles at its tips are sure to add to 180 degrees. (Why?) What if we truncate the tips? Are the ten angles at the truncated tips sure to add to a certain angle? pic.twitter.com/rpnUIqqK3O

— James Tanton (@jamestanton) September 21, 2019

Math Links for Week Ending Sept. 20th, 2019

Featured Links
I really like this opinion piece from @MathforLove. In it he talks about the idea that everyone can do math. There he says: "...everyone has the capacity to learn the foundational mathematics that allow them to understand and participate in our world” and lays out these three points of his thesis:

1. Everyone is capable of mathematical literacy.
2. Everyone deserves to see some beautiful ideas of mathematics.
3. A great mathematician can come from anywhere.

Read more at the link below. This also reminded me of @AliceAspinal's children's book "Everyone can learn math"
Curriculum Tags: All

Resource Links
Are you looking for some ideas about math related board games. Well, @SheriWalker72 asked that question on Twitter and got a bunch of great responses. Make sure look look at the comments to get some ideas.
Curriculum Tags: All
https://twitter.com/SheriWalker72/status/1172462223152812032

Hey #MTBoS , I'm looking for suggestions on what to buy for a classroom. What are your favourite board games? We are hoping they have some math in them.

— Sheri Walker (@SheriWalker72) September 13, 2019

OAME 2020 is accepting proposals for speakers for their May 7-8, 2020 conference. Have you got a great idea for a session? Then sign up at the link below.
Curriculum Tags: All
https://sites.google.com/oame.on.ca/oame2020/presenters







I like the extensions that @MaryBourassa has used to @SaraVDwerf's Name tents. The idea of checking in on your students in an informal way throughout the year is a great way to keep them on your side. Check out how she does it at this link:
Curriculum Tags:All
http://marybourassa.blogspot.com/2019/09/keeping-conversation-going.html


Video Links
Another nice animation made with @Desmos from @GHSMaths
Curriculum Tags: All
https://twitter.com/GHSMaths/status/1173312236045164544

Triangle pilehttps://t.co/O8EK0fo6Fs#mathart pic.twitter.com/YBajOyKzZD

— Martin Holtham (@GHSMaths) September 15, 2019

Image Links
A nice visual pattern
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/1174492314754060288

My next colour will be red.

How many will I need?#iteachmath #mtbos pic.twitter.com/kR4o8dJ5g9

— Mark Chubb (@MarkChubb3) September 19, 2019

Math Links for Week Ending Sept. 13th, 2019

Featured Links
So fun, @saravdwerf has a new set of #mathfails and now has over 400 download them all at the link below and have your kids find all the fails. Great for numeracy based investigation. It's as simple as asking "what is the math fail?"
Curriculum Tags: All
https://www.saravanderwerf.com/math-fails-2019-set-5-112-new-pictures-to-download/





Resource Links
Here is some info on some important female mathematicians. Perfect for both your male and female students to be aware of. And then when you're done, maybe get a #mathgals shirt. Thanks to @stevenstrogatz for pointing this out.
Curriculum Tags: All
https://bust.com/feminism/15871-12-brilliant-female-mathematicians-you-should-know.html




Opinion Links
I have been saying this for years. Since the 2015 PISA results came out. The idea that our students are, despite popular belief, actually quite good at basic math. Thanks to @EcoKrisb for pointing this one out.
Curriculum Tags: All
https://www.thespec.com/opinion-story/9580089-ontario-barking-up-the-wrong-tree-on-math-scores/


Video Links
I totally love this comparison of the volume of a cylinder, sphere and cone from @openupresources. Thanks to @TrianglemanSD for pointing this out.
Curriculum Tags: MPM1D, MFM1P
https://vimeo.com/197549505

volume of cylinder sphere and cone from Open Up Resources on Vimeo.

Image Links
Combine symmetry and number sense
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/1172323386413875200

A symmetry game we created:

-Player 1 puts a rod on their side
-player 2 uses different rods, but has to be equivalent
-next turn, roles are switched

Here’s an example

#elemmathchat pic.twitter.com/raWC6ZfWHU

— Mark Chubb (@MarkChubb3) September 13, 2019

What a nice visual and discussion piece.
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/1172329181369126913

And did you know that 1^3 + 2^3 +3^3 +4^3= 10^2 pic.twitter.com/gJHgXnfB3t

— Mark Chubb (@MarkChubb3) September 13, 2019

Give your students this problem when you are talking about powers of 2
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/brilliantorg/status/1172495232778276870

Each square is double the area of the one to its left. Which color has a greater area?

Hint: 1000 > 999

A. Yellow
B. Blue
C. The colors have equal areas pic.twitter.com/cSkXoz26Hw

— Brilliant.org (@brilliantorg) September 13, 2019

Some palindromic number in the dates this week. Thanks to @kmarkpet for pointing this out
Curriculum Tags: All
https://twitter.com/weathernetwork/status/1171493541345935360

Wishing our fellow math geeks a Happy Palindrome Week!

For the next 10 days, the date will read the same forward and backward 🤓

This is the last time this will happen this century, so enjoy! pic.twitter.com/PJegibYsdu

— The Weather Network (@weathernetwork) September 10, 2019

A weird set of data for sure but important to see, none the less
Curriculum Tags: Gr7, Gr8, MDM4U
https://www.instagram.com/p/B2Rtx3qlklJ/

View this post on Instagram

Source: US Centers For Disease Control and Prevention, 2018

A post shared by Mona Chalabi (@monachalabi) on Sep 11, 2019 at 8:58am PDT

Math Links for Week Ending Sept. 6th, 2019

Featured Links
School has been starting in many districts now for weeks. But with Labour Day passing, I think we've all started now. One thing I will be focussing on in my new school of grade 7&8s is basic skills. Beyond the regular curriculum that needs to be taught I want teachers to continually provide activities so students can practice their numeracy skills. These Math Flips from @BerkleyEveret are a great way to rethink the idea of a flash card.
Curriculum Tags: All
https://mathvisuals.wordpress.com/math-flips/

22 decks on addition, subtraction, and multiplication within 100. Each deck is a bunch of portable number talks!

Free at: https://t.co/YmaFoPqcW2 #elemmathchat #mtbos #iteachmath pic.twitter.com/7jqPXMXFXt

— Berkeley Everett (@BerkeleyEverett) September 1, 2019

Resource Links
I am curious how you would use this to "cause a headache" for students to give them a reason to learn trig. Thanks to @Joe_Sisco for pointing this one out.
Curriculum Tags: MPM2D, MFM2P, MCF3M, MCR3U, MBF3C
https://twitter.com/psmithdad/status/1169675631530921984

Ss will try making these to estimate right angle trig unknowns. Avoiding SOH CAH TOA and creating a headache that will be cured by trig functions. pic.twitter.com/TDb6qqauU2

— Phil Smith (@psmithdad) September 5, 2019

Opinion Links
In this post, @MarkChubb3 takes a look at how important multiple solutions are but only if we understand the strength of each solution (and the pitfalls of only showing students the "best" solution.

"While multiple strategies are helpful to know, it is important for US to know which strategies are early understandings, and which are more sophisticated.  WE need to know which students to push and when to allow everyone to do it THEIR way, then hold a math congress together to discuss relationships between strategies, and which strategies might be more beneficial in which circumstance."

Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2019/09/04/the-more-strategies-the-better/

Video Links
I remember as a kid, the teacher telling us the "trick" about greater than or less than by considering the alligator's mouth without worrying about understanding. This video from @BerkleyEveret does a great job of visualizing their meanings without a trick.
Curriculum Tags: All
https://twitter.com/BerkeleyEverett/status/1167615042977554433

New visual, inspired by the May 2019 @TCM_at_NCTM article by @LiversStefanie, Kristin Harbour, and Lindsey Fowler, which includes suggestions on conceptual ways to teach the comparison symbols (instead of crocodile mouths).

Video available at: https://t.co/prm1qx30ob#mtbos pic.twitter.com/EsCK6DCSAT

— Berkeley Everett (@BerkeleyEverett) August 31, 2019

I don't seem to get tired of these dynamic bar graphs of "popularity" of what ever happens to be the flavour of the day. In this case, browser popularity.
Curriculum Tags: MDM4U
https://twitter.com/ericcurts/status/1167812867065884673

📊 Usage Share of Internet Browsers 1996 - 2019 https://t.co/mWMXPvxW9r Who remembers Netscape Navigator Gold? #edtech #GoogleEDU #GSuiteEDU #GoogleChrome pic.twitter.com/N4NNa8cOVh

— Eric Curts (@ericcurts) August 31, 2019

I know this is an animation but I still really like it. A lot of math going on. Especially trig
Curriculum Tags: MCR3U
https://twitter.com/ZonePhysics/status/1168282576458588160

This is so cool 🙂 pic.twitter.com/aC3zLh5IB8

— Physics & Astronomy Zone (@ZonePhysics) September 1, 2019

I love these animations where what seems to be complex motion can have a hidden simpler motion embedded. In this case some sinusoidal motion along a straight line.
Curriculum Tags: MCR3U
https://twitter.com/doubleroot/status/1168908542759358474

Made a little animation🙂 (using @geogebra)
The Copernicus Theorem - lesson coming soon.#Math #Geometry #iTeachMath #MTBoS pic.twitter.com/439j51pZa5

— Vaibhav Sawhney (@doubleroot) September 3, 2019

I don't think you will have students looking for some of these but it's a great crossover between computing and mathematics dealing with powers and integers.
Curriculum Tags: All
https://www.youtube.com/watch?v=zyG8Vlw5aAw

Image Links
Another reason that you shouldn't resort to "Tricks" - they expire. Thanks to @HThiesmejer for pointing this one out.
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/QueenMel99/status/1167560147088105472

Saw this in one of our textbooks...I think a part of me just died 🤦🏾‍♀️.#cpsmathandme#iteachmath @ddmeyer pic.twitter.com/IE4L8gNiPB

— Melissa Kincaid (@QueenMel99) August 30, 2019

I wonder what the thinking is hear?
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/Trianglemancsd/status/1168595759337496578

Possibly the least necessary ratio table ever. #unitratechat @mnstatefair pic.twitter.com/ShLknn5QVQ

— Christopher Danielson (@Trianglemancsd) September 2, 2019

I continue to like @MonaChalabi's style and choice of subject area for her visualizations.
Curriculum Tags: MDM4U
https://www.instagram.com/p/B1eTZp4FrOd/

View this post on Instagram

Change is happening but it’s slow and it’s unequal. Posting this today because it’s black women’s equal pay day. It’s on August 22 because it takes full-time black women workers 234 days to catch up with what their white men colleagues earned in 2018 alone. Source: US Bureau of Labor Statistics

A post shared by Mona Chalabi (@monachalabi) on Aug 22, 2019 at 9:46am PDT