Friday, July 31, 2015

Math Links for Week Ending July 31st, 2015

It is nice to see that Desmos is not sitting on their laurels. You might have seen me mention some of the work that @mathycathy & @mjfenton did when they made some. But now Desmos has created their Activity Builder making it possible to to create your own interactive activities that students can then access via your teacher account at teacher.desmos.com on student.desmos.com. Thanks to @marybourassa for this one.
Curriculum Tags: MPM1D, MFM1P, MPM2D, MFM2P, MBF3C, MCF3M, MCR3U, MAP4C, MHF4U, MCT4C, MCV4U

Need a place for quality activities to help you teach math? Look no further than the newly created repository of activities arising from the MTBoS.This was the products of a session run by @marybourassa and @alexoverwijk of this year's Twitter Math Camp. On this site, anyone who has created an activity can post it using this link http://bit.ly/MTBoSactivity But to see all of the activities submitted so far, use the link below.
http://bit.ly/MTBoSbank

Here is a neat little way to make transformations of functions tactile. Use pipe cleaners
Curriculum Tags: MPM2D, MCR3U, MBF3C, MCF3M, MHF4U

How many chess games are there? Well we can't tell exactly but there are a lot. Numberphile has tried to quantify the number and in the process touch on topics like patterning, powers and exponents and combinatorics. So check it out
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P, MDM4U

One of those "funny" posts about how people are bad at math. Check out all 23 examples at the link below. Thanks to Mark Esping for this one
Curriculum Tags: All
http://www.buzzfeed.com/lyapalater/im-good-with-words#.puNn8bx7X

Friday, July 24, 2015

Math Links for Week Ending July 24th, 2015

I have posted this in May when I did it but the "official" video has come out. This is my Ignite talk from this year's OAME on fun things about Pi. You can get my actual slideshow at http://bit.ly/petro-ignite-2015 which will have all the related links. And then don't forget to check out everyone else's video at the link below. That is, Amy Lin, Alex Overwijk, Matthew Oldridge, Kyle Pearce, Ron Lancaster, Marian Small, Dan Meyer, Jonathon So, Mary Bourassa, Nora Newcombe, George Hart, Don Fraser, and Sunil Singh. Thanks to @AmyLin1962 for posting these
Curriculum Tags: All

I have mentioned La Vie Mathematique before and the fact that she is teaching a summer course in means she has compressed a bunch of activities into about 28 days of classes. Things like congruent triangles, two truths and a lie for quadrilaterals, Row Games for beginning trig and more
Curriculum Tags: Gr8, MPM2D, MFM2P
https://laviemathematique.wordpress.com/2015/06/15/summer-geometry-overview-and-first-day/

I always like the idea of basing what we teach on research. Consider this scenario:
"Jack takes a coin from his pocket and decides that he will flip it 4 times in a row, writing down the outcome of each flip on a scrap of paper. After he is done flipping, he will look at the flips that immediately followed an outcome of heads, and compute the relative frequency of heads on those flips. Because the coin is fair, Jack of course expects this conditional relative frequency to be equal to the probability of flipping a heads: 0.5. Shockingly, Jack is wrong."
As it turns out the reality is that there is only a 40% chance of getting heads. Read about the research here and try the experiment on your own in your class. Though you could relate the idea of flipping coins could be done in the earlier grades the context here is about conditional probability so it probably works best in Grade 12 Data Management
Curriculum Tags:MDM4U
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2627354

Though it has been around for a while, I just stumbled across it. The Poetry with Mathematics blog does, just that. Intersects poetry and mathematics in both fun and serious ways. Check out their offerings here:
Curriculum Tags: All
http://poetrywithmathematics.blogspot.ca/

A new book called A Beautiful Question: Finding Nature’s Deep Design talks about the history of Pythagoras. The myth and the truth. An excerpt can be found here.
Curriculum Tags: Gr8, MPM1D, MFM1P
http://io9.com/what-did-pythagoras-mean-by-all-things-are-number-1717748417

Hey, it's an article about the importance of mathematical mistakes and it isn't somehow (at least obviously) connected to Jo Boaler.
Curriculum Tags: All
http://theconversation.com/when-theres-meaning-in-mathematical-mistakes-42962

Need to know why logarithms are connected to the design of the computer mouse? Look no further
Curriculum Tags: MHF4U

Images from fireworks that show the parabolic envelope
Curriculum Tags: MPM2P, MFM2D, MCR3U, MBF3C, MCF3M
http://visualizingmath.tumblr.com/post/90798524925/to-those-who-celebrate-it-happy-independence-day

Friday, July 17, 2015

Math Links for Week Ending July 17, 2015

Here is a loaded question: Is Math Important? This is what these 5 panelists discussing over the course of an hour or so. They make their case for (and against?). I was hooked as soon as I heard Steven Strogatz started with takedowns (kind of) of the standard reasons to say "Yes". Take some time to watch and listen. Thanks to @profkeithdevlin for this
Curriculum Tags: All
http://video.pbs.org/video/2365521689/

I love cool uses of data. Here is a dynamic visualization of sunset/sunrises created realtime from scraping Instagram for images tagged with #sunset or #sunrise and then mapping them onto the globe. Check out the link below to see the dynamic visualization.
Curriculum Tags: MDM4U
http://www.washingtonpost.com/blogs/wonkblog/wp/2015/06/29

I really like this very simple tweak to questioning that @k8nowak has on a recent post. She was having trouble with students not answering questions about other student's work. She got around it by changing the question she asked to "would you explain your understanding of Bianca's Solution?" I like it because it is a little more friendly than "Does anyone have any questions about Bianca's Solution?"
Curriculum Tags: All
http://function-of-time.blogspot.ca/2015/07/a-magical-incantation.html

The Nardo Ring is a circular test track in Italy and here is a 3Act task on a problem about two cars driving around in it. Certainly any class dealing with circumference and rates could make use of this.
Curriculum Tags: Gr8, MPM1D, MFM1P
http://whenmathhappens.com/2015/07/08/nardo-ring/

It's summer time so why not have a mathematical parody about factoring quadratics. Thanks to @k8nowak for this one
Curriculum Tags: MPM2D, MFM2P, MCF3M, MBF3C, MCR3U

When ever I see a fountain I see a quadratic. This time, at the corner of Queen and University in Toronto, it was a great paraboloid.
Curriculum Tags: MPM2D, MFM2P, MCR3U, MBF3C, MCF3M

It is always nice when @JohnAllenPaulos continues his books on innumeracy via twitter. This time on a menu and dealing with rates and area of a circle.
Curriculum Tags: Gr8, MPM1D, MFM1P

Friday, July 10, 2015

Math Links for Week Ending July 10th, 2015

It's Tour De France time. So why not have an infographic about how much a typical rider eats per day
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U

You might have seen these memes on the Internet about never needing to use algebra, well here is a nice little post about why you need it every day.
Curriculum Tags: All
http://www.fromquarkstoquasars.com/use-algebra-time/

Hey, how would you like to be a 15 year old boy who discovers a math mistake in the Boston Museum's 30 year old Mathematica exhibit. It was in a section dealing with the Golden Ration but turns out he wasn't quite right about the mistake (they just used a different representation). Nice try though.
Curriculum Tags: All
https://www.bostonglobe.com/lifestyle/2015/07/07/math-error-museum-science-not-fast/BJBCcndGWe9YC2mnCUrP1O/story.html

Recently it was Tau Day (June 28th) and Vi Hart has created a (sort of) new video in homage to it. She has been doing a lot of work with this 360 degree video recording device and used it for this video. If you have an Android phone watch this video on that and see what happens as you move the phone around. If not then drag around the video to change your perspective (it might not work here, you might have to actually go to YouTube to see it.
Curriculum Tags: All

Hey as it turns out dividing 1 by a series of 9s will yield the Fibonacci sequence in the decimals. Check out how it works here:
Curriculum Tags: Gr7, Gr8, MCR3U
http://io9.com/dividing-1-by-this-big-number-gives-you-the-fibonacci-s-1716262962

Friday, July 3, 2015

Math Links for Week Ending July 3rd, 2015

I don't miss a chance to say how good the activities that they are creating out of teacher.Desmos.com are and one of my faves is the Polygraph app. This one let's students play a "Guess Who" type game in pairs (each on their own device). They have their own premade ones (linear, quadratic and quadrilateral topics) but a new feature is that now you can create your own sets. As they say in their blog post: "Trust Teachers". That is, listen to what they are saying and asking for and we asked for customizable Polygraphs. So that is out now. Take a look. Thanks to @marybourassa for pointing to this one.
Curriculum Tags: All
http://blog.desmos.com/post/122854798480/polygraph-custom-edition

I kind of like this divisions of fractions representation. The way I see using it is by giving it to students and asking what division question each row represents.
Curriculum Tags: Gr8
http://www.blog.republicofmath.com/division-of-fractions-davis-pearn/

And another question from the viral math problem group. This time it's Hannah's Sweets. A nice probability problem that connects to algebra and quadratics. That means it is probably only suitable for grade 12 Data Management but maybe there might be some keeners in the younger grades that could do it without the algebra. Check out @alexbellos post about it below and the solution is also below (but don't cheat).
Curriculum Tags: MDM4U

Understanding data is so important now more than ever. We are generating more data now than we ever have. So the folks at the Five Thirty Eight blog have started a new podcast: What's the Point. On it they discuss the good, the bad and the ugly about "big data". So far they only have a few episodes but in them they talk about the importance of Data (Ep 0 - with Nate Silver), using data in science (Ep 2 - with Neil Degrass Tyson) and how New York City has used data to their advantage (Ep 3)
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U, MAP4C

What makes human drummers different from machines? Apparently the answer is fractals
Curriculum Tags: All
http://mentalfloss.com/article/65703/what-differentiates-human-drummers-machines-fractals
Using less traditional methods, in this Oshawa school they are seeing test scores rise.
Curriculum Tags: All

And to finish of a "somewhat" balanced article on the benefits of discovery vs drill and kill. It seems this University of Winnipeg prof is always saying to drill them is the best. And it is funny that her headlines come from saying discovery is the problem for lower math scores but then quietly says that she has no proof of this. Some nice stuff from Dan Meyer and Cathy Bruce here on the discovery side as well.
Curriculum Tags: All
https://ca.news.yahoo.com/old-school-math-teachers-debate-best-methods-scores-080010219.html

Another nice one for probability is this TED-Ed video on a simple probability game with dice. I love that the answer is counter intuitive. But this would be a good lesson when talking about fair games and depending on how you handle the math could be done in grades as low as seven and up to twelve. And don't forget that on the TED-Ed site there are follow up questions and teacher resources to go along with the video. Thanks to Mike Lieff for this one.
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
http://ed.ted.com/lessons/the-last-banana-a-thought-experiment-in-probability-leonardo-barichello

This is cool (and creepy). This abandoned Ferris Wheel just continues to spin on its own from the wind. You could easily model a nice trig functions problem off of it. Thanks to Xui Bai Li for this one
Curriculum Tags: MCR3U, MHF4U