Featured Links
I absolutely loved this episode of the @numberphile podcast with Cliff Stoll. So many good stories (some sad, some inspiring) but Cliff's excitement about what he does just bleeds into the conversation. Seriously, if have never listed to a podcast and you are looking for one to start with, this episode will get you hooked on long form interviews. And Brady does a great job of asking questions and pulling stories out. And then once you listen, then go to Cliff's site Acme Klein bottle site and buy yourself a hand blown Klein bottle.
Curriculum Tags: All
https://www.numberphile.com/podcast/cliff-stoll

Resource Links
If you are doing any work with combining functions in senior math, then it is always good to give them a real example. Sound waves are a perfect example. Last week I posted a video about bells that ring with dual tones and so these two applets will help demonstrate what is going on here. One shows what happens when you add two sine functions and the other when you multiply them (both visually and auditorily - yes you can hear the sound waves). I also created a simple Desmos graph to do the same thing.
Curriculum Tags: MHF4U
Addition: https://academo.org/demos/wave-interference-beat-frequency/
Multiplication: https://academo.org/demos/amplitude-modulation/
https://www.desmos.com/calculator/c6k18gh2k9

I have mentioned the NY Times "What's Happening in this Graph" column before. Now they've teamed up with Desmos so that there will be a Desmosified version of each graph. Could be a match made in mathematics.
Curriculum Tags: MBF3C, MAP4C, MDM4U
https://blog.desmos.com/articles/whats-going-on-in-this-graph/

Here's a simple activity you can do for linear functions:
Curriculum Tags: MPM1D, MFM2P, MPM2D
https://twitter.com/mslailanur/status/1085226083958411265

I did a @Desmos project where students import a map of a zip code of their choice, use linear functions to recreate streets and coordinates for the buildings. Then make a system of equations for 3 friends to meet up at one of the buildings.

— Laila Nur (@mslailanur) January 15, 2019

Article Links
The person doing the talking is often the one doing the learning. This article talks about the benefits of students explaining their math thinking.
Curriculum Tags: All
https://www.kqed.org/mindshift/47820/how-kids-benefit-from-learning-to-explain-math-thinking

Opinion Links
This is an interesting comparison on the difference between assessing students vs replying to them and why replying is better.
Curriculum Tags: All
https://twitter.com/mreitemeyer/status/1084105692007620609

This is one of my favorite education paragraphs and it talks about this dichotomy (from Solomon&Black 2008, recommended to me by @MandyMathEd ) pic.twitter.com/JRfcg9mRQH

— Michael Reitemeyer (@mreitemeyer) January 12, 2019

Video Links
I agree that you could probably do a fun Notice and Wonder with this.
Curriculum Tags: All
https://twitter.com/MikeFlynn55/status/1081997672674967552

Good thing those cans were empty. How many are there? How do you know? pic.twitter.com/6bkgzGlB0S

— Mike Flynn (@MikeFlynn55) January 6, 2019

Though I am not a big fan of "tricks" as something we should teach students to know and use but you could use them to practice doing math.
Curriculum Tags: All
https://www.youtube.com/watch?v=yi-s-TTpLxY

Image Links
A number of people sent me this one
Curriculum Tags: All
https://scontent-yyz1-1.xx.fbcdn.net/v/t1.0-9/50000501_2339460922778919_6081342751020941312_n.jpg?_nc_cat=1&_nc_ht=scontent-yyz1-1.xx&oh=e0fb8cdd198e8def8e99c69c649689c4&oe=5CC809AB

Math Links for Week Ending Jan. 11th, 2019

Featured Links
You may not be into doing Twitter chats but even if you don't like to participate you can still reap the benefits (even if you don't have a Twitter account. It may take a little time to get used to that mode of discussion (basically a stream of conscious) but you can read the stream at any time. Just this week there was a Twitterchat for the hashtag #swdmathchat - that is students with disabilities math chat. They posted 8 prompts and people would then respond to them. A lot of good things discussed on this week's chat. and more to come in the coming months.
Curriculum Tags: All
https://twitter.com/hashtag/swdmathchat?f=tweets&vertical=default&src=hash

Resource Links
Just in case you missed some of these, @fivethirtyeight has compiled 45 of their best and weirdest charts from the year. Even though they do a fair bit of politically based graphs, there are enough sports and other pop culture related data to make things interesting for students.
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/the-45-best-and-weirdest-charts-we-made-in-2018/




Video/Audio Links
I created a dynamic tessellation that falls apart but can be put back together.
Curriculum Tags: Gr7
https://www.desmos.com/geometry/bzhkkarxgw

Playing with #Tessellation using @Desmos #geometry. First slide some points & the tessellation falls apart (but looks cool). Slide some more points & it brings it back together for a similar tessellation.

Play here https://t.co/b4BpHkmtYD#mathchat #MTBoS #ITeachMath #Mathart pic.twitter.com/a8LoNqho8s

— David Petro (@davidpetro314) January 9, 2019

I think it is hugely important to give students hands on experiences that help develop their spatial reasoning skills. This video is part of the reason why
Curriculum Tags: All
https://twitter.com/MarkChubb3/status/1083550347786944512

I videotaped this student (someone who rarely sees success in math class) engaging in a spatial task. Just watch her face in the final moment of solving the task: #ElemMathChat #SwDMathChat pic.twitter.com/oJM81COQ1L

— Mark Chubb (@MarkChubb3) January 11, 2019

In advanced functions when you are talking about combining functions, if you connect that with sound waves (I used to do that) then this video is a nice application of those wave additions.
Curriculum Tags: MHF4U
https://www.youtube.com/watch?v=eMgmJEaYs70

Lots of new podcasts episodes. They guys at @MakeMathMoments have added their 5th & 6th episode. They spend an episode helping a teacher manage her resources and also do a great interview with @JamesTanton who makes you want to do math no matter what mood you are in.
Curriculum Tags: All
http://makemathmoments.com/podcast/




There have been a bunch of new @MyFaveThm episodes but only a couple of them feel like they could have some relevance to secondary school math. One comes from @stecks who talks about her 1 cut theorem that she did on @numberphile. Fun stuff. Then the episode on Assigning a value to Teamwork. And although, at first, it may not seem like it connects to secondary math, later in the episode @anil_venkatesh talks about how he uses these theorems to design video games. Something some of your students might be interested in.
Curriculum Tags: All
https://blogs.scientificamerican.com/roots-of-unity/the-queen-of-the-fold-and-cut-alphabet/
https://blogs.scientificamerican.com/roots-of-unity/assigning-value-to-teamwork/

Finally, we released our second episode at @OAMETalks. This time with @Marian_Small. It was a fun conversation that served as a preview to her webinar. One of my favourite parts was when she said: "If you personally are uncomfortable with a piece of the math you have to teach....now you are the teacher. And you owe it to the students that you teach to now take the professional responsibility to learn that stuff that you didn't learn."
Curriculum Tags: All
https://sites.google.com/oame.on.ca/oame-talks/season-1


Image Links
Do you want your kids to learn about Domain and Range but have fun doing it? Or even if Domain and Range isn't the focus and linear equations is, this works too? Why not have them create their names using straight lines?
Curriculum Tags: MPM1D, MFM2P, MCR3U
https://twitter.com/PotterAMS/status/1081288439222468608

Doing some cool things on @Desmos in Algebra 1 to kick off 2019! Working on linear equations and restricting domain and range. @ddmeyer @mhall_AMS @geoffkrall #MTBoS pic.twitter.com/fCbE3lqMoS

— Miss Potter (@PotterAMS) January 4, 2019

This simple prompt can get your kids solving quadratic relations (if they choose to do it that way)
Curriculum Tags: MCR3U
https://twitter.com/jamestanton/status/1081542566670065664

Is it possible with a single straight line cut to simultaneously divide off one third of the area of a square and one third of the perimeter of the square? pic.twitter.com/2LhA3BAr1P

— James Tanton (@jamestanton) January 5, 2019

Some right prisms for the holidays
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/davidpetro314/status/1082351188849426432

I got back to work today from the holidays and found some #geometric @LindtCanada chocolate.

What do you notice? What do you wonder? #mathchat #MTBoS #ITeachMath #wcydwt #noticewonder pic.twitter.com/WIkOeC4SkY

— David Petro (@davidpetro314) January 7, 2019

You can always count on @sumdumthum to create a super cool dynamic tessellation.
Curriculum Tags: Gr7
https://twitter.com/SumDumThum/status/1082967157137264643

Dual of that thing that happens when you arrange dodecagons like the square tiling and then fill in the gaps with regular polygons.#matharthttps://t.co/7RG66e7oKi pic.twitter.com/magepFSgIx

— Andrew Osborne (@SumDumThum) January 9, 2019

Though it's not timely (I just saw it), a nice Demos generated animated gif
Curriculum Tags: All
https://twitter.com/LukeSelfwalker/status/1058808586695049216

Happy Fall! #graphjam https://t.co/KRqs4pp2Jp pic.twitter.com/6hKMggYCDy

— Luke Walsh (@LukeSelfwalker) November 3, 2018

Some fun with radians
Curriculum Tags: MHF4U
https://twitter.com/kyledevans/status/1077958858579083264

£2 per radian, solid pricing structure pic.twitter.com/ufaNky7nqq

— Kyle D Evans (@kyledevans) December 26, 2018

Math Links for Week Ending Jan 4th, 2019

It's the New Year and @Mr_Stadel has some advice. It's pretty simple: consider rebooting some (or all) of your class. New year and new you (or new your class). Here's some suggestions:

• new seating arrangements
• new warmup routine
• new grading policy
• new questioning strategies
• new group work accountability structures

Curriculum Tags: All
http://www.estimation180.com/blog/reboot-your-classroom

I'm always looking for data sets to use when analyzing statistics. I house them on my blog called Found Data. This data set is about the top grossing concert tours. There is data on the amount of money, concerts attendance and more. It's mostly good for single variable analysis but there is a bit of regression that can be done.
Curriculum Tags: MPM1D, MFM1P, MBF3C, MDM4U, MAP4C
http://found-data.blogspot.com/2019/01/highest-grossing-concert-tours.html

Looking for something to read? @mathletepearce has got you covered when it comes to good reads for any math teacher. From pedagogical to recreational there is something for everyone here (even math students). In 2014 I did an Ignite session at OAME on books that revolve around math. You can see the video in the links below.
Curriculum Tags: All
https://tapintoteenminds.com/books/

Are your kids learners or performers? In this post @dylanpkane discusses the difference. I know that in my experience we always have kids that do well on tests (ie performance) but when we see those kids the next year, they often haven't retained much (ie learned). In this post, we see some research and thoughts on this dichotomy.
Curriculum Tags: All
https://fivetwelvethirteen.wordpress.com/2019/01/02/learning-versus-performance/

When you go back to school with your kids, maybe start with some of these calculations from @standupmaths that all equal 2019
Curriculum Tags: All
https://www.youtube.com/watch?v=xEh4OaXeexU

It turns out that the if the first Thursday of the year also falls on the third day of the year then it's called Thirdsday. Here @standupmaths goes through some "thirds" math (including how to remember the digits of a third :-)  ). The thing I like the most is the iterative process to breaking things into thirds
Curriculum Tags: All
https://www.youtube.com/watch?v=NinrTW1Bx2Y

Here's my Ignite session on books for math teachers and you can get all the links here.
Curriculum Tags: All
https://www.youtube.com/watch?v=yuuwAQD2n70

With the promise of more to come, @saravdwerf has been collecting #mathfails and you can see her latest collection at the link below (with the promise more).
Curriculum Tags: All
https://saravanderwerf.com/2018/07/31/math-fails-2018-set-4-87-new-pictures-to-download/

Some interesting tiling patterns from @sumdumthum
Curriculum Tags: Gr7
https://twitter.com/SumDumThum/status/1078939440259584001

Here're some thoughts on generalizing these weird things (https://t.co/igAjIEJkdc … …):https://t.co/5cHpPpzrat pic.twitter.com/oIA8ecuIxK

— Andrew Osborne (@SumDumThum) December 29, 2018

Math Links for Week Ending Dec 28th, 2018

If you are working on Pythagorean Theorem with your students then this exercise might be a nice self checking activity. Take the numbers from 1-10 and pick any two, use those as the legs of a right angled triangle and calculate it's hypotenuse. Scratch out the two numbers used and add the hypotenuse to the list. Repeat this process (you should be able to do it 8 more times. The neat thing is that no matter which order you choose the numbers, you will always get the same last value. I will leave that value up to you to figure out. Thanks to @JamesTanton for this one.

Curriculum Tags: Gr8, MPM1D, MFM1P, MPM2D, MFM2P
https://twitter.com/jamestanton/status/1076849612831576064

Some nice ideas from @TheErickLee on modelling quadratics. I like the idea of physically demonstrating the nature of quadratics with a punctured water bottle and then snapping a picture and graphing on Desmos.
Curriculum Tags: MFM2P, MPM2D, MCR3U, MCF3M, MBF3C
https://pbbmath.weebly.com/blog/down-the-drain





If you want your senior students to be good at modelling then you have to give them opportunities to model things that may not be obvious. In this activity @ChrisHunter36 does that and get's some great results from students.
Curriculum Tags: MHF4U
https://reflectionsinthewhy.wordpress.com/2018/12/13/a-function-of-freedom-and-constraints/

Want to mathematically figure out which is the best line to cue in while shopping?
Curriculum Tags: All
https://phys.org/news/2018-11-line.html

If you haven't heard of 2018's newest shape the scutoid, you're missing out. Here @ViHartViHart has some fun with scutoids and if you follow the link below you can get to her page with a net you can download to create your own. And as an added bonus, if you have a set of VR goggles, this video was recorded just for them.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
http://vihart.com/scutoids/

Mathematical cake decorating
Curriculum Tags: All
https://twitter.com/Desmos/status/1076171776961331200

The Desmos Cake Decorating Co. is now open for all your cake decorating needs!

💚🍰📈

h/t @Theslimevids @kvdspek pic.twitter.com/j8YCMw5Yg4

— Desmos.com (@Desmos) December 21, 2018

Understanding big numbers is hard but perhaps a logarithmic scale might help?
Curriculum Tags: MHF4U
https://xkcd.com/2091/

Yup, math games. Thanks to @Esping_Math for this one
Curriculum Tags: MHF4U
https://www.facebook.com/Mathhappiness/photos/a.170688796611683/197040207309875/?type=3&theater

Math Links for Week Ending Dec. 21st, 2018

Currently I am the president of the OAME (Ontario Association for Mathematics Education) and one of the new features we are adding is a podcast and webinar series based on selected presentations from our annual conference. We call the series OAME Talks and we hope it is popular. So we have just launched and our first episode is with Jon Orr and Kyle Pearce talking about their session called Making Math Moments Matter. For this episode we are only doing the podcast but not a live webinar. Instead we are just linking to a previous webinar that Jon and Kyle did. Next month we will be featuring Marian Small in both podcast and live webinar form.
Curriculum Tags: All
https://sites.google.com/oame.on.ca/oame-talks

Have you ever played the game SkyScraper. The premiss is simple you have an x by x (typically 4x4 or 5x5) and you need to place towers of varying height on each square. No row or column can have more than one tower of the same height. As hints, you are given which of the towers you can see when looking from the sides. In this post @markchubb3 has created some templates for doing these puzzles with relational rods as the towers. And don't forget to check out his templates for using snap cubes instead.
Curriculum Tags: Gr7, Gr8
https://buildingmathematicians.wordpress.com/2018/12/20/skyscraper-templates-for-relational-rods/
https://buildingmathematicians.wordpress.com/2017/03/14/skyscraper-templates/

Are you looking for some card based games and manipulatives? The mathies.ca site has you covered. Matching, representations and more for decimals, fractions and whole numbers. Download alls the sets and get the instructions below.  Thanks to @rossisen for pointing this out.
Curriculum Tags: All
https://support.mathies.ca/en/mainSpace/RepresentationCardGames.php


This new podcast is the work of @MathletePearce and @MrOrr_Geek where they take their three part framework and unpack it over several episodes. The focus here is one what makes good teaching and how do we do it in a way that ideas stick with kids. Lots of good ideas here and the promise of interviews with people in the math community to punctuate their ideas. Each episode has info and extra resources to extend your thinking on each topic.
Curriculum Tags: All
http://makemathmoments.com/podcast/


A few new podcasts episodes added to the list. One from More or Less on the standardization of the Kg and one from @MrBartonMaths with a great interview with Hannah Fry. And a new podcast feed from @Numberphile. These long form interviews are great to show students (and teachers) behind the vale of those in the math community fighting the good fight. Brady really does a good job in talking to his guests. Check them all out at the podcast tab above
Curriculum Tags: All
http://ontariomath.blogspot.com/p/podcasts.html



For fun, I took a Desmos sketch made by @MrCorleyMath and made it a bit more visual.
Curriculum Tags: All
https://twitter.com/davidpetro314/status/1075520085970714625

12 days of #Christmas - @desmos style. https://t.co/jQq7QZj2TI …

Thanks to @MrCorleyMath for giving me the starting point for this sketch #mathchat #MBToS #ITeachMath pic.twitter.com/F6BUpF9n9e

— David Petro (@davidpetro314) December 19, 2018

I love this blog post from @rougeux on how the poster on Byrne's Euclid: The first six books of the Elements of Euclid with Coloured diagrams and symbols. The blog post goes into meticulous detail on everything that went into the making and design of the poster.
Curriculum Tags: All
https://www.c82.net/euclid/
https://www.c82.net/blog/?id=79

I am not sure how I didn't know about this YouTube channel before but after listening to the first episode of the new Numberphile podcast, I was introduced to 3Blue1Brown. These are great visuals on all kinds of math topics. He tries to take complex ideas and break them down visually in a way that a high school math student might understand. A few you might like to start out are this one on why a sphere's surface area is 4Pir², the essence of calculus or how Pi was almost 6.28...
https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw
Curriculum Tags: MCR3U, MHF4U, MCV4U, MDM4U

I actually saw this a few months ago when @msbjacobs showed it at a meeting and I loved it. It's a short excerpt of a longer interview by Hannah Fry with Roger Penrose and he talks about how he was held back in school because he was a slow calculator.
Curriculum Tags: All
https://www.youtube.com/watch?v=iZ8GaK2YzWo

I am a sucker for anything to do with randomness. In this case, it's how we really don't understand its nature. This is good for all grade levels but has some discussion of combinatorics also.
Curriculum Tags: All
https://www.youtube.com/watch?v=tP-Ipsat90c

If you haven't experienced the moment when you pause a Desmos activity in your class, then you are missing a magical moment.
Curriculum Tags: All
https://twitter.com/Desmos/status/1075058815698034688

⚠️ WARNING ⚠️

Desmos activities are so engaging that pausing them may be hazardous to your health!https://t.co/3zOBE12Udr pic.twitter.com/6p6N52G66L

— Desmos.com (@Desmos) December 18, 2018

These are images in this Tweet but they both come from Desmos sketches. One using the geometry and the other using the regular calculator
Curriculum Tags: All
https://twitter.com/davidpetro314/status/1075408093473841152

Here are some **Free** @Desmos snowflake generators courtesy of @von_Oy @dandersod & @MrCorleyMath https://t.co/yC9UAWrbiLhttps://t.co/eRfPDEYnhQ#mathchat #MTBoS #ITeachMath #MathArt pic.twitter.com/V68BT1CBH9

— David Petro (@davidpetro314) December 19, 2018

A nice visualization from @MonaChalibi on the number of natural disasters over time. Note, she realized after that she spelled droughts wrong.
Curriculum Tags: MDM4U
https://twitter.com/MonaChalabi/status/1075777777905926145

The 2nd of my 4 horsemen of the 2018 apocalypse: climate change. https://t.co/f2uV5J7cMN pic.twitter.com/8MRpwOM6LQ

— Mona Chalabi (@MonaChalabi) December 20, 2018

Math Links for Week Ending Dec. 14th, 2018

There are many resources on the Centre for Education in Mathematics and Computing (CEMC). Not only are there years of past University of Waterloo math contests, but also course work for grade 7&8 math as well as grade 12 math (with more courses and grades on the way). But the newest thing that is on the sight (or at least new to me) is an online problem set generator that allows you to choose math topics and grade levels and it will generate a problem set of questions created from old math contests. Check it out.
Curriculum Tags: All
https://cemc2.math.uwaterloo.ca/contest/PSG/school/index.php

I've added a new math starter to my Best of the Web page called Number Search. These are images created with pattern blocks (and other shapes) and we ask a simple question like "if the white triangle was worth 1, what other numbers do you see?". Check out other examples at the link
Curriculum Tags: All
https://photos.google.com/share/AF1QipPUhHweMG3cpSQ2CRL0scB2KtIKi2D6UFLrLtVuBNpr_z-UWsqce6nzZGmkWi5UWA?key=QlZfb2Rtd05vbXRiVklUSldiUGVTSVMxd2hINXJn

At the OAME we are trying to develop a podcast and webinar series on some of the speakers from our annual conference. We are calling it @OAMETalks and we have released our first podcast featuring @mathletePearce and @MrOrr_Geek. Check it out along with our line up at the link below
Curriculum Tags: All
https://sites.google.com/oame.on.ca/oame-talks

I like the treatment that @msbjacobs gives to nets. I like the idea of coming up with different nets for the same 3D shape along with looking at whether a net is possible or not. Some good examples here.

Curriculum Tags: Gr7, Gr8
http://themathguy.blogspot.com/2018/12/nets-of-solids.html

Here is a great example of a "Same/Different" for function notation from @g_brgmn. I was introduced to this idea by @saravdwerf as an example of a type of Stand and Talk.

Curriculum Tags: MCR3U, MCF3M
https://countjoy12.wordpress.com/2018/12/08/function-notation-same-different/

This site has a series of 9 videos with a financial literacy theme. They were created by the people at Just for Laughs Gags and the Centre for Educational Economics. The videos themselves are more funny than informative. But they could be used as catalysts for financial literacy conversations. Each video has educational prompts and teaching materials associated with them.
Curriculum Tags: All
https://moneylaughs.com

A challenge from @MrOrr_Geek. He has given you a challenge in the skeleton of a 3 Act task. He has given you the videos and some images with measurements but nothing else. No hints as to what this task could be about. Follow the link to see all the videos and get all the info and let him know what your lesson idea would be.
Curriculum Tags: All
https://mrorr-isageek.com/doublejenga/

Here's another starter that came from @berkleyeverett called CrossNumberPuzzles where the point is to make each row or column sum to a specific number.
Curriculum Tags: All
https://twitter.com/hashtag/CrossNumberPuzzle?src=hash