Saturday, May 27, 2023

Math Links for Week Ending May 26th, 2023

Featured Links

I have recommended this site before and I don't think that I can recommend it enough. Slow Reveal Graphs start with a graph that has been stripped of context: its numbers, its labels, its title. The teacher facilitates a discussion around what students notice and wonder. Then another slide is revealed with some more (but not all) information. And this continues @JennaLaib does a great job of finding these graphs and creating the slideshows for anyone to use. Here is the latest on the Cities with the Greatest Number of Skyscrapers:
Curriculum Tags: MDM4U
https://slowrevealgraphs.com/2023/05/25/the-cities-with-the-greatest-number-of-skyscrapers/



Resource Links

Here is a nice little interactive for projectile motion:
Curriculum Tags: MCR3U
https://twitter.com/dment37/status/1662114112741036034


Video Links


Working with cubes and algebra? Then maybe try this Mystery Number problem
Curriculum Tags: MPM2D
https://twitter.com/howie_hua/status/1661886435409166342

Image Links

Visualize an infinite series like this and you can make the algebra come to life
Curriculum Tags: MCV4U, MHF4U
https://twitter.com/pickover/status/1661879494792163329


Friday, May 19, 2023

Math Links for Week Ending May 19th, 2023

Featured Links

The folks at @Desmos have been promising this for years and although this is still a beta version, you can really start to see the magic of combining the geometry and graphing calculator tools. Have fun
Curriculum Tags: All
https://blog.desmos.com/articles/geometry-beta-release/


Resource Links

I think the first time I saw this site was in 2016 and I'm glad @TheErickLee reminded me of it. 
Curriculum Tags: MDM4U, MAP4C
https://www.guessthecorrelation.com/#

If you haven't tried one of @SweenyWSween's @Desmos Escape rooms then here are both of them (look in the comments for the teacher version and the original).
Curriculum Tags: All


Video Links

I definitely agree with @Howie_Hua here. But mostly because I think that grading students with percents gives a false sense of precision. Just because we can calculate to the nearest percent (or fraction of a percent) doesn't mean it's accurate. Ask yourself whether you can articulated the difference between a student with an 80% and an 85%. This is really a longer rant but my point is that I don't think that over all (or even on any particular question) we can't realistically expect to measure grades any more accurately than plus or minus 5%. 
Curriculum Tags: All
https://twitter.com/howie_hua/status/1657433824119361543


Image Links

Impossible proofs anyone?
Curriculum Tags: All
https://www.quantamagazine.org/when-math-gets-impossibly-hard-20200914/


Friday, May 12, 2023

Math Links for Week Ending May 12th, 2023

Featured Links

I like when teachers give a deep dive into the deep thinking that goes into and lies around the lessons that they teach. In this case, @AledaKlassen talks about a student that she troubled to connect with and the eventual success she had while working in the structure of the Thinking Classroom. 
Curriculum Tags: All
https://aledaklassened.wordpress.com/2023/05/03/students-do-not-have-to-have-the-same-experience/

Resource Links

I like to be reminded of all the very cool resources that can be found on Mathigon.org. In this case, if you are working with Pascal's Triangle then you might be interested in this interactive resource.
Curriculum Tags: MCR3U
https://mathigon.org/course/sequences/pascals-triangle

NCTM Calendar problems, this time from May of 1994
Curriculum Tags: All
https://karendcampe.wordpress.com/2023/05/01/may-calendar-problems/

One of the great things about the "math Twitter verse" is the ability to ask a question and get an answer. In this case We have a question about this activity structure called a "math market". You get a hint of it in @MaryBourassa's post but you get the actual structure of the activity in the comments. Be sure to take a look. 
Curriculum Tags: All
https://twitter.com/MaryBourassa/status/1655690321743732737


Video Links

And a bit more of Pascal's Triangle
Curriculum Tags: MCR3U
https://twitter.com/Ayliean/status/1655173640860598272


Image Links

Are you looking for an interesting problem that connects to Pythagorean Triples?
Curriculum Tags: Gr8, MTH1W
https://twitter.com/dment37/status/1656904717119766529




Friday, May 5, 2023

Math Links for Week Ending May 5th, 2023

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I think this may have been one of the first things that I saw from @RobertKaplinski and I immediately loved it. The whole idea of kids just trying to slam numbers into the situation in order to solve a non sensical problem was intriguing. And it lead to finding all kinds of other great resources on his site. If you haven't seen this, follow the link and watch the video and get the other resources and then check out all the other stuff you can find.
Curriculum Tags: All
https://twitter.com/robertkaplinsky/status/1654253074024734725

Resource Links

I think that you can use this with your students to remind them that all work and no play is not healthy
Curriculum Tags: All
https://twitter.com/MathsCirclesOz/status/1653127443933175811



Video Links

I think that when doing probability questions, it's important to ground them in reality (even if reality may be bent a bit :-) )
Curriculum Tags: MDM4U
https://twitter.com/howie_hua/status/1652078038610513920


Using "Would You Rather" as a prompt you can turn a relatively mundane topic into something more interesting. And if you want more prompts like this, try @JStephens site WouldYouRather.com
Curriculum Tags: All
https://twitter.com/howie_hua/status/1652324245727514625


Alright, live tessellations.
Curriculum Tags: All
https://twitter.com/RickMohr2/status/1652263814891446273

Image Links

It was a great couple of days at last week's OAME conference. It was good to see some familiar faces that I hadn't seen face to face in so long. Hopefully you can have some meaningful face to face connections this year too:
Curriculum Tags: All
https://twitter.com/GLewisOCT/status/1652487910493413384

Clever :-)
Curriculum Tags: All
https://twitter.com/howie_hua/status/1654079303724720129

Who knew that ngons with sides that are multiples of 4s had this property?
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/diegorattaggi/status/1158115642425430016

      

Saturday, April 29, 2023

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#

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
Curriculum Tags: All

OAME2023 - Peter Taylor has always been a great source of good problems. He's got a pile of them on his Rabbitmath Site
Curriculum Tags: All

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



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. 


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


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


Video Links 

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


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


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/


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

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

    



Friday, April 21, 2023

Math Links for Week Ending Apr 21, 2023

Featured Links

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


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/







    

Friday, April 14, 2023

Math Links for Week Ending Apr 14, 2023

Featured Links

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

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




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

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

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


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



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