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A blog by a veteran math teacher who tries to learn new things. Most posts are about teaching math and problem-solving, but sometimes, it's just about life.
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Monday, November 30, 2015
My Half-Marathon Playlist and Pumpkin Mousse Mini Cheesecakes
It's ironic that I have a half marathon halfway through the school year, where I feel like I've almost completed the 2015 - 2016 half marathon. I feel like I've completely let go of the "eat" and "play" of my blog title, so here's a little play...this is my playlist, in case if you ever are in need of some upbeat music for a half-marathon or a workout. It goes over my time, but just in case I decide in the middle of the song that I downloaded that I want to switch it, I figured I'd add more at the end. I tried to make every fourth song, towards the beginning at least, a major motivation song for me. I couldn't snap a picture of the entire playlist, but here it is in two pictures.
Also, here is a recipe that was a hit at Thanksgiving...from my Pinterest, where you will also find a ton of high school math resources. It is No Bake Mini Pumpkin Cheesecakes, and they are out of this world. The only thing I would do differently is double the amount of graham cracker mixture because I had a lot of leftover mousse (not to worry--it was all eaten without the graham crackers.) I also used graham cracker crumbles which made it easier. And there are little plastic shot glasses at our local grocery store that makes it very easy to make a lot of little desserts.
Back to math next time!
Sunday, November 22, 2015
Teaching (and Learning) Grit by Having Students Solve the Rubik's Cube
It all started when my 17-year-old son came home from his summer teen tour and had some much needed down time. The normal teenager would probably just sleep or watch videos, but AJ decided he wanted to solve the Rubik's Cube. I remember playing with one as a child and could get one face complete pretty easily. But in "those days," the directions were all on a folded piece of paper (the horror!), and I did not have the GRIT needed back then...at least not with this puzzle. But he watched a video over and over again, and by the next day, he had it down. (As I am writing this, I hear the clicks from him solving his cube...it's a good "brain break" for him between homework assignments.)
Over same summer, I was planning for my new Problem Solving Seminar, and I thought I would make solving the Rubik's cube an assignment for the class around Thanksgiving. I thought it would be a good time for kids to practice...and perhaps get encouragement from their families over break. I decided I would have them watch the video my son learned from, and I would facilitate, but that I did not have to really solve it...after all, it was an assignment for them, and maybe I didn't really have to (gulp) solve it?! It felt really daunting to me, and yet, I knew my kids could do it. I just didn't necessarily want to--which I know does not make a whole lot of sense right now...but it somehow did to me then.
I asked the bookstore to stock Rubik's cubes...the only thing they needed to purchase for the course, and after avoiding lots of "when are we going to solve the Rubik's cube?" questions, we finally watched the above video together last week. I broke down the first few steps as such:
Over same summer, I was planning for my new Problem Solving Seminar, and I thought I would make solving the Rubik's cube an assignment for the class around Thanksgiving. I thought it would be a good time for kids to practice...and perhaps get encouragement from their families over break. I decided I would have them watch the video my son learned from, and I would facilitate, but that I did not have to really solve it...after all, it was an assignment for them, and maybe I didn't really have to (gulp) solve it?! It felt really daunting to me, and yet, I knew my kids could do it. I just didn't necessarily want to--which I know does not make a whole lot of sense right now...but it somehow did to me then.
- The white cross on top with yellow in the middle
- The white cross flipped to the bottom with white in the middle and a partial matching T
- The entire white face with one full layer (top) complete
- The entire second layer complete
As we were watching the video and pausing A LOT, I noticed that many of the students were having trouble visualizing. Ironically, one of the top students in the class could not follow the directions at all at first. But most kids were still very interested...solving the Rubik's Cube is like a fun party trick to pull out-out of nowhere, so most were determined. Some asked me to share the video via Classroom Google, so they could watch at their own pace, which I did.
Oddly, I was able to see how to do the first three of the four steps, above, pretty easily. I say oddly because my spatial reasoning is my weak point as a math teacher. You could spin me around in my own driveway, and I will get lost. But I guess having played around with the cube a lot as a kid, I could do these steps fairly quickly. So once I realized my kids needed help, and I could help them, I started to want to solve it myself. But it was not until then that I felt the need to solve it. They needed my help in explaining it, and that I could do. But I didn't know how far I could get...that second layer blew my mind.
Then luck happened. I got an email from the Mathematical Association of America (MAA) highlighting an article about Dan Van der Vieren (known to students as Mr. VDV), a teacher who wrote his undergrad thesis on the Rubik's cube. I immediately followed him on twitter and asked if he was willing to skype with my class...and he said yes! And then the magic happened.
Via skype, and with pictures like the one to the left, he showed us how to get the entire second layer complete. This involved an algorithm. My students struggled through this (as did I), making mistakes and having to redo it all over again, but once they finally got it on their own the texts with pictures started pouring in...on a Saturday night?! And it coincided with me getting that layer complete as well. We felt so accomplished!
Mr. VDV, is skyping with us again on Wednesday (the day before Thanksgiving break) to get us to the next stage. This, more than anything else that I have ever taught, is teaching the kids tenacity and grit and stick-to-it-tiveness. I do have a student who wants to give up. I hope more than anything else, I can encourage him to stick with it and solve it. He will learn more from that, I think than anything he has learned in my class. If he learns how to do it, which will come not only from my helping him but also from his willingness to learn from his mistakes, I will feel like I have done my job.
Mr. VDV, is skyping with us again on Wednesday (the day before Thanksgiving break) to get us to the next stage. This, more than anything else that I have ever taught, is teaching the kids tenacity and grit and stick-to-it-tiveness. I do have a student who wants to give up. I hope more than anything else, I can encourage him to stick with it and solve it. He will learn more from that, I think than anything he has learned in my class. If he learns how to do it, which will come not only from my helping him but also from his willingness to learn from his mistakes, I will feel like I have done my job.
Mr. VDV has tweeted with me regularly, sharing pictures like these to help me help my students--so incredible. I am so thankful to him...funny this is the case right around Thanksgiving.
Lastly, Mr. VDV has told me that his class has made mosaics with Rubik's Cubes, and now, of course, we HAVE to do this...next semester. I can't wait. He told me to register at http://www.youcandothecube.com/, which I did, and someone got back to me Sunday morning! They will ship all the cubes to you for the mosaic making; all we have to do is pay for shipping back.
Lastly, Mr. VDV has told me that his class has made mosaics with Rubik's Cubes, and now, of course, we HAVE to do this...next semester. I can't wait. He told me to register at http://www.youcandothecube.com/, which I did, and someone got back to me Sunday morning! They will ship all the cubes to you for the mosaic making; all we have to do is pay for shipping back.
I am looking forward to my post when we actually create this. Another challenge, Mr. VDV told me, is to make our school logo as a mosaic. There is an app for that! The possibilities are endless.
I am not there yet...I haven't solved the puzzle fully. I'm 2/3 done, but I can do the entire 2/3 from memory...by Thanksgiving break, I hope to have it fully done, along with the rest of the students in my class. I finally am learning about the grit I have been talking about to my class. And it feels great.
I am not there yet...I haven't solved the puzzle fully. I'm 2/3 done, but I can do the entire 2/3 from memory...by Thanksgiving break, I hope to have it fully done, along with the rest of the students in my class. I finally am learning about the grit I have been talking about to my class. And it feels great.
Thursday, November 5, 2015
Zaption: Easy Flipped Classroom--I Pinky Swear!
If you don't follow Richard Byrne, whose blog is Freetech4teachers, you must NOW. I have gotten a lot of great ideas from him, and today he did not disappoint. In this blog, he wrote about Zaption. Zaption is a site where you can take any video and add questions to it to make it interactive. Zaption calls these videos "learning tours". In about 5 minutes, I learned how to add multiple choice and free response questions to videos. Here's the video I watched to learn--so easy, I pinky swear.
Insert Zaption. I searched for a completing the square vertex video, and luckily, the first one I saw had an instructor who does it the same way I do. I was able to add a multiple choice question and two free response questions in a video that was less than 4 minutes. I added it to their homework assignment, and students will have to answer the question before they move on. Twice, I asked them to predict the answer, and then once I asked them to solve a problem on their own after watching the video. Afterward, I can look at the analytics and see their responses and how they did. I am assigning this for homework in addition to a light assignment on what we did get to cover.
Here is the video:
And here are the analytics, though none of my students have done it yet--though I can't wait to see it for myself.
The gallery is quite amazing. They have all different subjects and topics. Try it for yourself. If you do a flipped classroom or a modified flip, I think you will love it.