Friday, January 20, 2017

Math Links for Week Ending Jan. 20th, 2017

I like this post from @marybourassa with a few tips. The importance of choosing students randomly and why even struggling students need to be given challenging problems, review day tweaks and using stickers. These are really simple things to do in class that increase student thinking. It's really worth the read.
Curriculum Tags: All
http://marybourassa.blogspot.ca/2017/01/little-things.html

And for those of you spiralling grade 10 applied, @Marybourassa has posted some updates on the semesters work. And if you have never spiralled that course then check out the link to her series of day-by-day posts which has all the goods.
Curriculum Tags: MFM2P
http://marybourassa.blogspot.ca/2017/01/spiralled-mpm2d-update.html

I like this simple activity of using playing cards to have kids work with mean, median and mode. The activity itself is nice but the discussion that follows when @msbjacobs talks about what happened when he gave the students an unsolvable question. I think this kind of thing is really important for students to see. Mistakes, that is. Sometimes I feel like when all we present is perfect work, students a) get the feeling that somehow they are inadequate because they aren't and b) then never see strategies for dealing with mathematical problems.
Curriculum Tags: Gr7, Gr8
http://themathguy.blogspot.ca/2017/01/the-best-laid-plansoften-go-awry.html

Taking simple problems and tweaking them so that they require much deeper thinking is a great idea. That's what @RobertKaplinsky tackles in this post. From addition and subtraction questions to exponents, trig and roots. All done by giving students the choice of filling in numbers. He gives you steps to change your own simple problems to increase their depth of knowledge (DOK)
Curriculum Tags: All
http://robertkaplinsky.com/3steps/

A couple from @Desmos. The first would be great to deal with introducing the idea of rate of change as it connects to slope. It uses some of the special Desmos tools only available to them but add a lot to the experience with students.
Curriculum Tags: MPM1D, MFM2P
http://blog.desmos.com/post/155493373922/friday-fave-for-january-6

The second one is for dealing with systems of equations. I like the fact that it starts with some review of the conceptual nature of what a solution is with simple equations and then transfers that to what it means to solve a system of equations.
Curriculum Tags: MPM2D, MFM2P
http://blog.desmos.com/post/155825958132/friday-fave-for-january-13

A conversation with @MathGarden and @JamesTanton via @buzzmath. I really like the bit about slowing down the thinking process where James talks about giving assignments that he would refuse to accept until they were done perfectly. There is also some fun math so watch the whole thing.
Curriculum Tags: All
https://blog.buzzmath.com/2017/01/19/sunil-singh-and-james-tanton-talk-about-teaching-math-video/


A new TED-Ed video about the origin of numerical systems. Thanks to @KMarkPet
Curriculum Tags: All
https://ed.ted.com/lessons/a-brief-history-of-numerical-systems-alessandra-king


Friday, January 13, 2017

Math Links for Week Ending Jan. 13th, 2017

When someone you know has a YouTube video with almost 10 million views and that video is related to math, well, you can't ignore it. The story that @slamdunkmath tells about the video is actually a pretty cool read. Check it out (but not until after you watch the video.
Curriculum Tags: All
http://slamdunkmath.blogspot.ca/2017/01/15-minutes.html


I'm a sucker for a good data set, especially if someone else finds it. In this case it was @Wheeler_Laura who found a nice data set connecting flight length and cost. A great data set if you are looking at linear relations. Check out all of her activity resources at the link below.
Curriculum Tags: MPM1D, MFM1P, MFM2P, MDM4U, MAP4C
https://mslwheeler.wordpress.com/2017/01/07/flight-costs-mfm2p/



I'm working on a new sorting activity for solving equations that involves equations written as strips to show the equality of the sides. To help I created this dynamic sketch to make the strips given any simple equation in the form ax + b = c in its various forms (with natural numbered coefficients). Once you input the coefficients then you can take a screenshot of the representation you want (there are four versions of the representation.
Curriculum Tags: Gr7, Gr8, MFM1P, MFM2P
http://engaging-math.blogspot.ca/p/web-sketches.html

There is a lot of great math that goes into why airlines overbook fights and it has a lot to do with the normal distribution and expected value. Don't forget to get all the lesson extras on the TED-Ed site. Thanks to David Broad for this one.
Curriculum Tags: MDM4U
http://ed.ted.com/lessons/why-do-airlines-sell-too-many-tickets-nina-klietsch

I have always loved the story of Eratosthenes and how he estimated the Earth's circumference by just using shadows, angles, parallel lines and a bit of proportions all about 2000 years ago. And now here is a short video from @BI_Video about it. Thanks to @Esping_math for pointing this one out.
Curriculum Tags: Gr8, MPM1D, MFM1P
http://www.businessinsider.com/how-greek-eratosthenes-calculated-earth-circumference-2016-6


I like this visual representation of adding integers from @JamesTanton. I'm a big fan of visually representing math. You can look at more of his work at the link below. Thanks to @mathletepearce for pointing this one out.
Curriculum Tags: Gr7, Gr8
https://www.facebook.com/photo.php?fbid=10208363484268439&set=gm.646268588906954&type=3&theater



Friday, January 6, 2017

Math Links for Week Ending Jan. 6th, 2017

I just came across this online graphing platform that is free for much of the stuff we do in high school math. Specifically statistical stuff in one and two variables. This is a site called Plot.ly and has a paid and free version. The free version is still pretty good with linear and quadratic regression as well as histograms and box plots (with outliers) and even heat maps. You can save your graphs and even embed them into your web pages like I did below (click on the graph and it will take you to the site with the data). I will probably do a more thorough post about this on my Found Data blog but take a look and try it out.
Curriculum Tags: MBF3C, MDM4U, MAP4C
https://plot.ly/
Flower Test


Ever buy Lego's by the pound? Well thanks to @rjallain we now have data and analysis to show how much each of those bricks cost. It was this post that introduced me to Plot.ly
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://www.wired.com/2016/12/heres-much-lego-brick-stepped-worth/


If you are looking for a super rich data set to show students the power of analyzing data, look no further than the bike share data from NYC.  After over 10 million rides there is a wealth of data in all forms. Bar graphs, scatter plots, periodic modelling, dynamic representations and more. Though you can't do much actual data manipulation, you can do a lot with inferring from graphs.
Curriculum Tags: Gr7, Gr8, MBF3C, MPM1D, MFM1P, MDM4U, MAP4C
http://toddwschneider.com/posts/a-tale-of-twenty-two-million-citi-bikes-analyzing-the-nyc-bike-share-system/



I like card sorts. They are a simple way to have students practice skills in a way that is a bit more fun than a worksheet. This one from @mathequalslove is dealing with inequalities.
Curriculum Tags: MHF4U
http://mathequalslove.blogspot.ca/2017/01/inequality-card-sorts.html


I love the title of this post from @benorlin "The Catchy Nonsense of "Two Negatives Make a Positive"". The act of giving students things to memorize instead of helping them understand is a common practice in math classes. But maybe this post will help a bit.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://mathwithbaddrawings.com/2016/12/14/the-catchy-nonsense-of-two-negatives-make-a-positive/

Though I am not a huge fan of their music (it's fine but it just doesn't do much for me) but OK Go have created a cottage industry of awesome video making. Their latest video for their song "The One Moment" uses some super high speed cameras (4000 frames per second) to actually shoot the entire video in a matter of seconds. See it below, then watch the math behind making it work. Lots of rates of change needed here. Watch the music video, then the math bit and then the behind the scenes stuff below
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://blogs.scientificamerican.com/roots-of-unity/math-with-ok-go/

Thanks to @StandupMaths here are some numerical facts about the number 2017 to ring in the new year. This reminds me that we can have students do a lot of number manipulation around just about any value. Have some of your students verify some of these facts (for fun)
Curriculum Tags: All
https://www.youtube.com/watch?v=z6jMU-AwX34

Some of your students may still watch TV (some of my own kids only stream now) but here are some neat visualizations of 50 popular TV shows (Modern Family is below) and how their viewership varies across the US.
Curriculum Tags: MDM4U
http://www.nytimes.com/interactive/2016/12/26/upshot/duck-dynasty-vs-modern-family-television-maps.html

Some times a good visualization can help students understand a concept better. The Internet is always there to help.
Curriculum Tags: MCR3U, MCF3M, MHF4U
https://www.reddit.com/r/gifs/comments/5lg0w1/sine_cosine/

I think it's a good exercise to do with students from @Rogonic. Give them data and ask them what type of graph they should make?
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U, MAP4C
https://learnandteachstatistics.wordpress.com/2016/12/09/which-graph-to-use/

Another from @BenOrlin. This time his take on the biggest (math) news stories of the year. Follow the link to see them all.
Curriculum Tags: All
https://mathwithbaddrawings.com/2016/12/07/viral-math-news-stories/

Thanks to @MrAspinall for pointing out this fun app http://swirlly.com/ to show the beauty in geometrical mathematics with this throwback to Spirographs.
Curriculum Tags: All
https://twitter.com/mraspinall/status/816982830341300224

Will it hit the hoop 2017 from @ddmeyer
Curriculum Tags: MPM2D, MFM2P, MCR3U, MCF3M, MBF3C
https://twitter.com/ddmeyer/status/816864039573721088



Friday, December 30, 2016

Math Links for Week Ending Dec. 30th, 2016

Recently @mathletepearce posted a blog about conceptually looking at multiplication. This week he looks at fractions. And although he says "This post is by no means the “fractions rulebook”" this post gives a good overview of representing fractions all the way to dividing with fractions. He's got a lot of visuals on the way. Check it out.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://tapintoteenminds.com/progression-of-fractions/


Do you need to give real examples of how the way you ask questions on a survey can become biased by using Leading Questions then listen to this More or Less episode on how a poorly conducted survey in India likely gave unreliable results. The clip from the Yes Prime Minister that shows how by using leading questions you can get opposite results for the same question.
Curriculum Tags: MBF3C, MDM4U
http://www.bbc.co.uk/programmes/p04jz6sr
https://www.youtube.com/watch?v=G0ZZJXw4MTA

With all the talk of how many celebrity deaths there were this year, speculation is that it was a bad year. It was bad for celebrities, for sure, but it wasn't the worse. Here's all the data.
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
http://www.cnn.com/2016/12/30/entertainment/worst-year-celebrity-deaths-trnd/

People have often written about manipulatives in the secondary classroom and so I wasn't surprised when @HTheijsmeijer posted hers. The thing that caught my eye was the statement "I did well in math through high school because I like rules". IE no manipulatives were needed. I would go further to say that many of us who became math teachers learned despite the teaching methods that were used because we liked math, were teacher pleasers etc etc. So with many of the new initiatives it is sometimes hard to convince teachers that anything new is needed (the old "if it worked for me....." idea). So posts where teachers are honest with how they feel on their journey always give me hope that we can progress.
Curriculum Tags: All
http://byodasap.blogspot.ca/2016/12/manipulatives-in-secondary-math.html

Though this is fairly old it is none the less informative on how we think about probability and randomness. It is part series from Scientific American and gives some insight as to why we are so bad at understanding probability. The first article talks about cognitive bias and it goes from there. Thanks to @Esping_Math for this one.
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
https://www.scientificamerican.com/article/why-our-brains-do-not-intuitively-grasp-probabilities/
https://www.scientificamerican.com/article/how-randomness-rules-our-world/

If you haven't read "The Curious Incident of the Dog in the Nighttime", you should. It's story told from the perspective of a boy with autism and it has mathematics infused throughout. From the chapters numbered with only primes to the appendix with mathematical proofs in it. Now it is a play and @Standupmaths has seen it and gone behind the scenes to show all the math that goes into making the show.
Curriculum Tags: All
https://www.youtube.com/watch?v=8hsZm1BD_j8
https://www.youtube.com/watch?v=shQnyNlgmkc



In keeping with many of my recent posts, here is another one of those "friendly" algebraic problems. Though it might not be appropriate for our math classes (due the the beer and the fact that we don't teach integration in Ontario anymore) but it is still pretty friendly. Thanks to @Robin_Grondin for this one.
Curriculum Tags: All
https://twitter.com/robin_grondin/status/813846676775571456
Definitely some sobering thoughts during the holidays
Curriculum Tags: MCV4U
https://www.facebook.com/pornscience/photos/a.145146232329411.1073741828.139938556183512/695710823939613/?type=3&theater

OK so now the memes are coming out about "friendly" algebra. Now even Drake is in on it. Thanks to @Esping_math for this one
Curriculum Tags: All
https://www.facebook.com/mathslovers/photos/a.216147991759481.57080.207201309320816/1451190178255250/?type=3&theater


And even when people try to correct Internet math, they get it wrong (as the comments confirm, it should have a constant). Thanks to @Esping_Math for this one too.
Curriculum Tags: All
https://www.facebook.com/PiMathAddicts/photos/a.318224865041690.1073741828.318220011708842/563649603832547/?type=3&theater



Friday, December 23, 2016

Math Links for Week Ending Dec. 23rd, 2016

I love Christmas time. That means all kinds of geometric packaging. And candy companies, I think, are the best. Of course Toblerone's normal packaging is a triangular prism but in past years they have branched out for Christmas (here and here) but this year, maybe it's Lindore with their parallelepiped.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://twitter.com/davidpetro314/status/812322333444730880

Everything you wanted to know about multiplication. From the standard model to multiplication of binomials @mathletepearce will take you on a journey giving you a lot of visuals along the way.
Curriculum Tags: All
https://tapintoteenminds.com/progression-of-multiplication/


It seems like multiplication is the topic at hand. Now from @mburnsmath. I really love the story she tells about he student who knows 6x8 from memory but can't figure out 6x9 because he "hasn't learned it yet". She then goes on to explain a version of multiplication Bingo that goes way beyond just memorizing the multiplication table. I have been doing a lot with teachers who are looking for ways to close the gaps with their intermediate students. This is a great way to do it.
Curriculum Tags: All
http://marilynburnsmathblog.com/wordpress/multiplication-bingo/


I like this story about how researchers were using Twitter to predict outbreaks of the Norovirus. Essentially they searched terms like "sick", "vomit" etc and then correlated that with actual medical records and found that they could use these Twitter searches to predict when the next outbreak came with about an 80% accuracy rate. They controlled for things like location and if people were just talking about having a hangover. It would be a nice thing to bring up when talking about how correlation could be used to make predictions. There are several stories about stats here but this one starts at about 5:50
Curriculum Tags: MPM1D, MFM1P, MDM4U, MAP4C
http://bbc.in/2fBo3US

Do you know what a big number is? Can you understand the difference between a billion and a trillion? If we want our students to be numerate then we should make sure we are. That's what I thought of when I saw the beginning of @MarkChubb3's post. He asked teachers to place 1 billion on this number line. I am pretty sure that most people would get this wrong but math teachers? Yup. Take a look at some other ways you can deal with big numbers in his post.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2016/12/17/how-big-is-big/


All the talk three years ago was about the results of the 2012 PISA test. The 2015 test was written last year and the results are in. Although this article was written with the US in mind, here in Canada we are still doing pretty good. Thanks to @KMarkPet for this one.
Curriculum Tags: All
https://ww2.kqed.org/mindshift/2016/12/18/what-can-we-learn-from-countries-that-effectively-teach-math/

A very cool connection to the value of e and connection to it's definition via limits
Curriculum Tags: MHF4U, MCV4U
https://www.youtube.com/watch?v=xgBGibfLD-U

and even more about e here
Curriculum Tags: MHF4U, MCV4U
https://www.youtube.com/watch?v=AuA2EAgAegE



We can find the math in anything. How about the parabolic nature of the song The 12 Days of Christmas.
Curriculum Tags: MPM2D, MFM2P, MCR3U, MCF3M, MBF3C
https://twitter.com/DataIsBeautiful/status/810572151464095744
I have a t-shirt that is my "ugly Christmas" shirt that uses logarithms to create a Christmas message. But as it turns out not everyone who makes t-shirts doesn't know their math. Check out my shirt and this "math fail" version (bottom). I will leave out the link to where to buy this monstrosity.
Curriculum Tags: MHF4U