Friday, February 17, 2017

Math Links for Week Ending Feb. 17th, 2017

I reposted this activity after some minor tweaks and I wasn't gonna mention it but a lot of people seemed to like it so I thought I would highlight it here. It's an activity that focusses on the geometric model of the Pythagorean theorem. There is a version that uses physical squares and also a version that uses Explain Everything as a virtual manipulative. There is also a Smart Notebook file and a dynamic sketch to use as an extension.
Curriculum Tags: Gr8, MFM1P

Someone pointed out this site to me from @jaccalder this week. There are tech things but more specific to Ontario, many resources for Grade 9 Applied math. This includes many tech tools including some Nearpod files and coding references to MFM1P.
Curriculum Tags: MFM1P

I like marbleslides from Desmos and also like when teachers share their own versions. In this post @SweenWSweens shares his set of weekly marbleslide challenges Some of them are pretty hard and you would need many types of functions to solve them. The cool thing is some of his student solutions. So amazing. Thanks to @MaryBourassa for pointing this one out.
Curriculum Tags : MCR3U, MHF4U

As many of you know, I love it when teachers share their work. And that goes for when they take a standard problem (you have goats and chickens and there are this many legs....". Here @Wheeler_Laura includes a PearDeck version of these activities where the teacher can see the student work as soon as possible (as it happens)
Curriculum Tags: MFM1P, MPM1D, MPM2D, MFM2P

This TEDx talk from @MathforLove came out about a year ago but I only saw it for the first time this week. It is awesome. I love all the ideas about how to maximize your student's learning in your math classes. I also like the way he has the audience go through a cool factoring activity.
Curriculum Tags: All

Hey, I am now an ambassador for the Global Math Project. Other Ontario ambassadors included @mathgarden, @mathletepearce, Ron Lancaster, @MrRsNabrhood, @AllenMath, @msbjacobs, @CRichardTeacher, @JacquieBrodsky, @AmyLin1962, @Paul_math, @WillGourley and @MatthewOldridge among others from all over the world. And our push this year will be regarding the first annual Global Math Week. Take a look
Curriculum Tags: All

My youngest kid is 15 now so it's been a while since I've seen an Arthur episode but it seems that that show is still going and the subject of this episode is whether there is such thing as a math person. Go Arthur. Thanks to @duncantenacity for pointing this one out.
Curriculum Tags: All

His visualizations on socially relevant data about countries were awesome and his interactive GapMinder tool was the way you could create your own but now @HansRosling has passed away. He once said "CNN got it wrong; Graphics are not about "How to make data look sexy", but to reveal that data is sexy!" He will be missed.
Curriculum Tags: All

I love this data set that is represented 25 different ways. Which one would you pick as correct?
Curriculum Tags: MDM4U

Friday, February 10, 2017

Math Links for Week Ending Feb. 10th, 2017

For two years I worked with two schools that were part of the OAME Grade 9 Project (which now is called Math 4 the Nines). That project turned into two summer institutes last summer to report on all of the things we learned (by we, I mean my two schools and the other 8 schools). Much of those two events were recorded and some of us came back to summarize these findings as "workshops in a box" for anyone to use. Well all of that stuff is online and published. There is a wealth of info here including some of the research findings and resources. Take a look.
Curriculum Tags: MFM1P

A new 3Act Task from @mathletepearce. This one spans many grades and starts with counting and subtizing and ends with algebraic modelling. Start where you want and end where you want I guess, is the order of business with this task.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P

I like this post from @SamjShah where he digs deep in to the unit circle. Along the way he provides a couple of Geogebra sketches for kids to practice what they know about the unit circle in radians (and degrees). I also like the reference to the special angles as being "easy-ish" or "hard-ish".
Curriculum Tags: MCR3U, MHF4U

If you use Google Docs (and more specifically Google Slides) alot in your math classes, you might be interested in this template to create fractions easily in Google Slides from @ericcurts. In regular Google Docs, there is an equation editor but not in Slides. So this is helpful.
Curriculu Tags: All

I like this post from @MarkChubb3 about the foundations of what students need to know to be successful. If we start with the title "..a child first has to learn the foundational skills of math, like______" and you ask yourself what goes in that blank. I think many traditional ideas may put things like "fractions" in there but we get something different here. That's where this post starts but it then talks about dyscalculia along the way and ends up with discussion of spacial reasoning (I love the idea of symmetry games BTW). A lot of good points here
Curriculum Tags: All

Why we ever stopped playing in school is beyond me. A lot of play goes on in the early years but something happens as the kids get older. Especially in math where we should be encouraged to tinker.
Curriculum Tags: All

What an awesome extension from @numberphile to the classic Four - 4s problem in which you are to take four 4s and put operations between them to create the digits from 0-20. This one takes it to a whole new level that would be appropriate to MHF4U when dealing with logarithms and essentially makes it possible to write any number using four 4s very easily.
Curriculum Tags: MHF4U

When dealing with similar triangles and ratios we often apply these concepts to measuring the height of tall objects with shadows. This time @standupmaths takes that to a new extreme.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P, MPM2D, MFM2P

I think Order of Operations is one of the hardest things to conceptualize for students. I don't think, there are any really good real life examples (that aren't at least a bit contrived). So it's really just a set of rules for kids to memorize. @MathletePearce gives us a visualization, at least, so we can help push that conceptualization along.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P

That is pretty slick. It took me a bit to figure out the notation to create the values of A (A is the set of points that starts at zero and goes up in increments of pi/6 until it gets to 11pi/6) but I love how you can tinker with this. For example if you make the last angle 11pi/6 you get labels all around the circle.
Curriculum Tags: MCR3U, MHF4U

And here is a similar idea with an animation. Similar to the previous one it starts by defining some values.
Curriculum Tags: All

Friday, February 3, 2017

Math Links for Week Ending Feb. 3rd, 2017

If you are at all into Standards Based Grading then you might also struggle with how to keep track of all of those grades. Recently @MrOrr_Geek posted a detailed description of how he keeps track of the progress of all of his students. I really liked it. For years I have said that traditional marking is so arbitrary as a way to measure a student's progress. This is especially if true if you are talking about students who struggle. For example, with a traditional measurement system it is possible for a student to get a final grade of a 65% yet never be correct on anything (ie much of the mark is due to part marks). And so what meaning does that mark have? It doesn't mean a student knows 65% of the material, that is for sure. But if you are using SBG then that mark at the end may in fact mean just that. He uses a free marking software called Freshgrade which seems like it was built for this expressed purpose. I love that students are given levels for each standard based on what they can complete and then all those grades of standards are brought together to create averages for the strands and then an overall average. Give it a look.
Curriculum Tags: All, MFM1P

Some awesome tweaks to some Desmos activities highlighted on @ddmeyer's blog. There is literally something for everyone here. Algebraic activities, linear relations, angles, circles, polynomial functions and more. All of them have that "ease into it" feel where students start by estimating or drawing and then move onto algebraic or algorithmic methods. Some of them go back to their roots in that first killer activity Central Park. Take a look
Curriculum Tags: Gr7G, Gr7PA, Gr8G, Gr8PA, MPM1D, MFM1P, MPM2D, MFM2P, MCR3U, MBF3C, MCF3M, MHF4U

I love the simplicity of the individual motion and how the complexity shines through in this animation. Don't forget to check out the other images found on the Google Plus community Mathematics and Related Animations
Curriculum Tags: All via

I try to steer clear of any political bent (at least here on this blog) but when I saw this image about alternative math facts, I had to Tweet it out.
Curriculum Tags: All

Friday, January 27, 2017

Math Links for Week Ending Jan. 27th, 2017

If you like quiz apps and control then you probably already know about KnowledgeHook. One nice thing about KnowledgeHook is that it has a lot of ties to Ontario curriculum but their new feature is icing on the cake. Now when you create your questions for students you can make virtual manipulatives available to them to use.
Curriculum Tags: All
There is a growing number of teachers who are spiraling their courses here in Ontario, and if you think you might want to try it you are lucky to have teachers who share their whole process. And although @MrOrr_Geek created this post "to remind my future self on what I did this semester ", for any one teaching MHF4U, it is a great resource for spiralling that course. I particularly like the reverence to how homework is taken up. Have a look
Curriculum Tags: All

If this blog is anything, its a testament to the fact that I think sharing ideas is one of the best things that we can do. So I liked what @MaryBourassa has done that with her department each week. She took one thing that teachers could take with them and add to their classes and highlighted it with a short email. You can get the full Google Doc here (note that Ontario Math Links is there - does that mean we have an endless loop of sharing?). Read on below for more info.
Curriculum Tags: All

Some great examples of how you can incorporate math into programming with Scratch from @MrHonner. Check out all the examples and start coding with your classes.
Curriculum Tags: All

"When we make mistakes like this, what matters is how we show our students how WE handle mistakes." - that was the point that most resonated with me in @MarkChubb3's post on lessons learned from making mistakes. The reason that this resonated with me was that it is my belief that when students see us teach flawlessly, it gives the a false sense of reality. That is, they only see perfect (or near perfect) work from us and thus when they make mistakes they either a) feel bad because all they ever see is no mistakes or b) not know what to do when they encounter a mistake because they have never seen what we do (or both). So I think we have to embrace mistakes (and maybe even manufacture them) so they can see what we do when it happens to us. Read on for more insight on mistakes.
Curriculum Tags: All

Lots of people do Math parodies on the Interwebs but I think it is Westerville South High School that may have cornered the market. I was reminded of these earlier this week. Click on the link to see the all.
Curriculum Tags: All

Today was the first "permutation" day of the year. A day when you can re arrange the digits of the day and the month to make the year. When will the next one be?
Curriculum Tags: MDM4U

My two favourites from this week's Math with Bad Drawings from @BenOrlin. I have definitely experienced both of these mathematical emotions
Curriculum Tags: All

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

And for those of you spiralling grade 10 academic, @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: MPM2D

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

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

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

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

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

A new TED-Ed video about the origin of numerical systems. Thanks to @KMarkPet
Curriculum Tags: All