Methinks I Like ..thinglink..

ThinglinkTech guru Lisa Johnson introduced me to this fabulous resource right on time.  My students are beginning a geometry unit, and I can’t think of a better way to expose them to the voluminous vocabulary than using thinglink!  What is thinglink?  Check it out here.

To make my own creation, I designed a slide in Keynote with various geometric figures of interest.  I scanned the web for some links for students to explore, and quickly found that interactive iPad-friendly links for geometry topics are a bit sparse out there (sooo many great goodies rely on flash currently, boo!)  I did stumble upon shmoop.com which I found to be very refreshing with just enough dry humor for any middle-schooler to enjoy 😉  Plus, there are some iPad-friendly “exercises” built in for each geometry topic so students have a chance to quiz themselves along the way.  Nice!

I plan to use this thinglink tomorrow as an anchoring activity after students finish an assessment on the previous unit.  Once we can come together as a class and get started on the new content, my hope is that students have already become quite familiar with the thinglink content.  What a versatile little tool!
<> Have you used thinglink in the classroom?  Please share your ideas! *Update* thinglink anchoring activityThis was a great way to introduce the next unit as students finished a quiz today.  It was fun to watch them all clicking different topics and previewing the upcoming content.  I explained to them that this thinglink even serves as a nice little study guide for a future assessment.  I would love to create one or two of these for every chapter! After using the Shmoop website, I couldn’t resist showing this popular Seinfeld clip at the end of the class period.  No, YOU’RE Shmoopie! No, You’re Shmoopie!

 

P.P.S.  Here’s another ThingLink for exploring Scientific Notation topics too:  

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Festive Fractivities: An Annual Tradition!

After semester exams, we ALL need a break.  The novel topic of fractals is a welcome change of pace.  I usually conduct my fractal mini-study for two class periods right before the holiday.

Day 1: Introduction to Fractals and Creating a 2-D Sierpinski

I share this fractal one-pager with students, then show the following videos:

Understanding Fractals

Sierpinski Zoom

This year we also added a free app to the mix called Deep Fractal Viewer.  Pretty fascinating!

Next, I show students this record-breaking set of pictures and really cool time-lapse video, and distribute the very same Sierpinski template featured in the video for students to create their own 2-D fractals.  I show this video so they can see how the Sierpinski triangle evolves.

Students get strangely absorbed in the process of generating the triangles, and we discuss how the number of “right-side up” triangles represents the powers of three, and that, the more work you do when generating a fractal, the more work you create for yourself.  This fact does not stop students at all – one student actually pulled a magnifying glass out of his backpack to help him keep on making triangles – not sure if I was more surprised that a student actually *had* a magnifying glass in his bag, or that he was resourceful enough to use it for this task!

 

 

 

 

 

 

 

Day 2: Fractals in 3-D

Once students understand how self-similarity and exponential growth impact the creation of a fractal, day 2 of our mini-study involves this fantastic 3-D pop-out card.  It looks impressive, but is quite simple to create!  I think understanding and creating a flat fractal first is crucial.  Here are some prize cut-out cards from today!

 

An aside – thanks to Mr. Bill Hoy for tweeting the MyScript Calculator app this morning!  When students entered class today, I posted a QR code and the message “Appy Holidays!” for them to retrieve this “gift” – a really nifty calculator app that reads your handwriting!  Students were not only amazed, but inspired to create some tough problems to try to “stump” it.  They also got into the fun of printing their names rather than numbers, and watching the calculator try to recognize the letters, convert them to numbers, and establish what each student was “worth”.

Before sharing with students, I tested the calculator to see how it handled (-2)^4 and -2^4 as well as what it did when prompted to divide a number by zero.  It handled these computation tasks to my liking, unlike some calculator apps out there, so beware!  😉

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An Unintended “Perk”: iPads + Socrative = “The Best Review” For Exams

I shared recently about how the Socrative App / student-response system has encouraged and enabled me to revamp my daily warm-up routine.  This increased accountability through 3-question weekly Socrative warm-up quizzes has been an efficient and informative way to complete a cumulative review in bite-sized chunks… but never did I consider how helpful having all of those “quizzes” would be right before semester exams!

Over the weekend, students organized their (physical, paper) warm-ups sheets from the past quarter and brought them to class today.  After a short Q & A session regarding all those problems, we re-used the (Socrative) warm-ups quizzes that students had already taken and been graded on.  Instead of the “student paced” silent and individual format I employed every Friday during the “real” graded version of these brief 3-question quizzes, I chose “teacher paced” so that we could pause and discuss every problem together.  After all students weighed in on their answer choice for each problem, I revealed the “Live Results” bar graph on the big screen for all to see.  We took our time and had rich discussions about the problems (and misconceptions and errors) along the way.  Though students had already seen these problems in a “quiz” setting, revisiting the problems in this new, non-graded laid-back format seemed to be an effective way to review, keep everyone engaged… and give me a slew of data that overloaded my inbox!

 

One student’s comment blew me away and had me scrambling for a pen and note paper so I wouldn’t forget her exact words.  In the midst of the “Socrative review” today, she said, “This is probably the best review we could do for this class.”  Another student followed by saying, “I wish this was for a grade – I am doing so good!”

A feature that worked VERY well today for reviewing purposes was the “feedback question” I built in as the very last question of every quiz.  After the 3 (multiple-choice) math questions on each quiz, question 4 was always in open-response form, asking for student questions or comments.  In the “teacher-paced” format on the big screen, I chose to display the “Live Results” to Question 4 of each quiz.  Student names are not revealed on the big screen, but ARE revealed in the data reports after the quiz is over.  Students had a safe, anonymous place to ask questions in “real time”.  This was AWESOME.

My hope was to incrementally prepare my students for tomorrow’s exams, and I hope we did just that.  What I did not intend on was the amazing review session that occurred today, using assessments I had already created and administered, but employing them in a very different review format!

 

 

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iPad Visit: Teacher Panel Video

Hill Country Middle School invited professionals from nearby districts to come see our classrooms and how we’ve been using the iPad.  It was great to share with others who are embracing the iPad as a learning tool.  Check out our “teacher panel” session after folks observed our classes for some candid sharing about the successes and challenges we’ve faced integrating iPads this year.

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Happy 12-12-12 !

Happy 12-12-12!

At 12:12pm, my algebra students and I took our iPads out to the hallway, and yelled, “Happy 12-12-12!”  There were photos and screenshots galore.  It was only a minute, but it was fund while it lasted!  Here’s a screenshot from my iPad 🙂  Yeah, I got in on the fun too.

Students have had the option, on their own time, to use their iPads and app of choice to create some sort of “Top 12” list and send it to me.  Here are a few (though… many lists sent to me did not have exactly 12 items in them… the mind ponders…!)

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Nearpod, I Think I Love You

I used Nearpod presentations for several different lessons this week, and I think I’m in love!  (If you’ve never heard of Nearpod, check out their website for a brief description.)

To create the presentations I didn’t have to start from scratch – this week’s topics were quite visual, and I had some Powerpoints and Keynotes from past lessons.  Using my iMac at home, I saved “chunks” of the presentations as PDFs, uploaded the sections of each presentation to Nearpod, then inserted Nearpod’s interactive tools between the “chunks” of slides to keep students engaged and accountable.  Meanwhile, these interactive elements kept me informed during instruction in real-time regarding who was “getting it” and who might be lost.

For my pre-algebra students, I used Nearpod to present “dilations” of 2-D figures.  The slides-gone-PDF supplied students with necessary definitions and examples.  Then, students had the opportunity to show what they were learning along the way through some very nifty features.  One question type was a simple poll.  I asked, “Do dilations produce similar figures?” and provided answer choices of  “Yes!”  “No!”  and “I don’t know!”  I used my document camera to zoom in on the pie chart that displayed responses from the class so they could see the opinions of their peers right away.

Another question type required students to draw something.  I uploaded  a coordinate plane with a given triangle and asked students to draw the dilation of this triangle with a center of dilation at a given vertex A using a scale factor of 2.  Since Nearpod allows the teacher to see a mini-version of students’ submitted sketches,  I could see at a glance who understood this concept.  Anonymously, I could “push” different student sketches to everyone’s iPad screens to talk about correct examples, and identify misconceptions on figures that were dilated incorrectly.  Students were giddy with anticipation as I “pushed” sketches to them, some blurting, “Oh!  That’s mine!” (even if it was wrong!)   There was NO CHOICE but to be on task and engaged!

I also used Nearpod to present a lesson on linear systems to my algebra students.  While the slides flew by, illustrating when a linear system has one solution, no solution, and infinitely many solutions, students completed a graphic organizer I provided for them on paper.  Then, using the drawing feature in Nearpod, we practiced solving various systems by graphing.  Again, I used examples and non-examples “pushed” to students’ screens for discussion and clarification on the topic.  I can’t describe how NEAT it is to simply glance at my own iPad and see a sample of work from every individual.  It’s a virtual lap around the classroom!  For the struggling student, it’s also a way to secretly let me know right away that I might need to clarify a few things… 🙂

 

 

 

 

 

 

 

After our Nearpod sessions, I was able to login to the Nearpod site on a computer to access the data from all the interactive moments.  I can still see every sketch and who drew them, as well as each student’s answers to the poll questions.  Lots and lots of data!

I foresee Nearpod as a way to bring Powerpoint and Keynote into the 21st century in a more student-centered arena.  No more death-by-Powerpoint with Nearpod’s amazing and informative features!  Students can take screenshots of slides to keep as notes, and the interactive tools elevate instruction in ways only possible with mobile learning devices like the iPad!

 

 

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How Socrative Changed My Warm-Ups

My beginning-of-class routine has evolved over the course of my career.

In the beginning, I simply did a “DO-NOW” which rarely involved mathematical thought at all.  It was a daily reminder about having necessary materials out and being “with it” before the late bell.  It was a classroom management strategy for a new teacher – that’s about it.

Next, I started more of a “problem-of-the-day” idea… which sometimes, due to time constraints, reverted back to being a “DO-NOW”.  When the warm-up was a math problem, students *knew* I was going to work the thing out if they’d just be patient and wait for me, so it felt like a little coffee break for them.  I was fortunate if the ones who didn’t try the problem in the first place took the initiative to at least copy it from me.

So, I decided I wanted students to reflect about their work.  I created a two-column warm-up template with a problem on the left side, and the heading: “FIRST ATTEMPT – DON’T ERASE!”  On the right, the column’s title was “CORRECT SOLUTION” and the goal was a parallel comparison of potential errors to correct methods.  I signed each and every student paper every day to see their work and acknowledge that each student’s “first attempt” had been made before I walked through the solution, or had a student present one way of solving the problem at hand.  They had to solve the problem, get my signature, and copy the correct solution every day to receive credit.  I collected these sheets on a weekly basis, but didn’t really hold students accountable for the content once warm-up time was over.  They reflected… but did anything help them change their thinking if they were wrong?

I still don’t know if I have this thing right, but this year, having iPads has changed my warm-up routine yet again.  I still have the parallel comparison idea, but there’s no more walking around and signing papers every day.  Of course I walk around and peek at papers to see what students are thinking, give real-time feedback, and check that they are truly making their own “FIRST ATTEMPT”… but with Socrative, we have introduced accountability.

Students know that Friday every week, they will have a “Socrative Warm-Ups Quiz”.  Of the 5 warm-ups students complete during the week, 3 problems will be on the warm-ups quiz that are “inspired by” the warm-ups that week.  Students are allowed to use their warm-ups papers as they take the quiz on Socrative, and my goal is never to trick them.  I keep my promise every week that the 3 problems are different, but are related to the warm-ups.

Even with all of these supports in place,  the classroom during the Socrative warm-ups quiz is intense!  They are SO CAREFUL to touch the correct answer choice, because they know there is no recourse if they touch the wrong thing.  ***UPDATE: This is no longer a THING… students CAN navigate between questions, and change their answer choices BEFORE they submit***  They also cherish the question at the end of each quiz, asking for feedback.  I get all sorts of little notes and giggles that wouldn’t happen without this quiz format.  I see personality in some students that are otherwise quiet… (Exhibit A… ahem, Guy on a Buffalo?!?)

We’ve had to work through some bumps and bruises along the way, some of which I have blogged about before (such as, Socrative doesn’t let you navigate between questions or change your answer choice once you’ve touched the screen ***UPDATE: This is no longer a THING… students CAN navigate between questions, and change their answer choices BEFORE they submit***).  After doing this routine for 5 straight weeks, I think we’ve overcome our growing pains with respect to Socrative’s limitations.  You just can’t beat the instant feedback for each question, the cheers and jeers during the quizzing process, and the color-coded data report I receive in an e-mail and display for the class mere moments after the quiz is complete.

Students are now responsible for compiling and organizing their warm-ups sheets throughout the course, and I no longer sift through piles of warm-ups papers.  Students are held accountable for the content.  Right now, my warm-ups serve as a spiral review of topics done more recently as well as in the past, with the hopes of incrementally preparing for our upcoming semester exam.  These daily bite-sized math chunks will make a heck of a study guide.

Thanks for reading, and I’d love to hear about your warm-up routine as well.

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I Am a Witness to Perplexity

My students have been studying ratios, rates and proportions.  We’ve compared unit prices to find the “better buy” and found the heights of trees and flagpoles using their shadows and similar triangles.  We’ve also converted rates using dimensional analysis (usually some resistance with that one).  Yes, we have done all the typical tasks in a unit on ratios.  Until today…

My goal: Guided practice of applying dimensional analysis and solving proportions.

The task: A bizarre “price per gallon” activity I conjured up.

I “set the stage” by grabbing the water bottle from my desk, and asked, “Have any of you ever bought that colored, flavored liquid stuff to put in your water?  Is it good?”

A wave of opinions came crashing toward me, as students expressed their love for or disgust of the product.

“How much do you think a gallon would cost?”

Again, a wave of estimates, head scratching, and opinions!

I gave the students the “How Much Per Gallon?” sheet full of familiar products, none of which are typically sold in one-gallon containers.

“I LOVE Frappuccino!”

“Oooo!  My mom buys that mascara!”

“Ahh…   NyQuil…”

We focused on the MiO Liquid Water Enhancer first, since that’s what started our discussion.  Students noted the given information about the product, specifically that the bottle was measured in fluid ounces… and our goal was to find the price per gallon.

Then, it happened.

A student who usually keeps to herself could barely contain herself.  She began rummaging through her folder and pulled out her standardized test reference sheet.  Noting the conversion facts on the sheet, she yelled, “We need to figure out how many ounces are in a gallon!  Quick!  Write 1 gallon!  Times… let me see… times, 4 quarts over 1 gallon… times…” and she proceeded to call out conversion factors so quickly I could barely write fast enough to keep up with her.  She could barely stay in her seat.  It was awesome.

Once we had agreed that one gallon has 128 fluid ounces in it, we returned to MiO.  Students eagerly helped set up the proportion:

 

 

 

At this point, I can only say that you had to be there.  You just had to be in the room to see how frantically the students worked to find out how much a gallon of MiO would cost.  They were desperate to finish this problem.  They were amazed that a gallon of MiO could sell for over $350.  And they could barely decide which problem to solve next.   “This is SO weird!” I heard one young man say, as he set up proportions with a smile.

I felt the energy of perplexity.  I loved it, but more importantly, so did they.

And if you every wondered how much a gallon of printer ink would cost… well, let’s just say it rivals the price of a compact car!

The activity in its entirety can be found here – enjoy.

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iProductivity With TechChef4u: Student Workflow in the iClassroom

Recently our own “TechChef4u” Lisa Johnson gave a talk with her dynamic trio (additionally @iPadSammy and Yolanda Barker) at Tech and Learning’s Tech Forum here in Austin. Check out her List.ly  with attention to #44 and #45 (Tanna Fiske is a fabulous technology-integrating colleague of mine as well!) then scroll down to watch the streaming video of the session. The entire talk is jam-packed with ideas for integrating technology!

I was honored to be included in Lisa’s talk – check out the mentions at 15:10 and 25:00!

 

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Online Flash “Magic Gopher” – A Tasty Algebra Tidbit

When it comes to teaching middle school math, the afternoon before a holiday break calls for classroom creativity, especially after a morning field trip!  (Yes that was my day, and frankly, my challenge!)  I save the “Magic Gopher” for such occasions, and he has never failed me.  Who knew a little hocus-pocus could astonish students with algebra?  (Well, obviously I knew this, and I want you to know it too!)

The “Magic Gopher” guides students through a simple process:

1) Choose a 2-digit number.

2) Find the sum of the digits.

3) Subtract this sum from your original number.

4) Look at the Gopher’s scroll of numbers and hieroglyphics, find the symbol next to your number, and remember it.

5) Voila!  The”Magic Gopher” reveals a card that has YOUR SYMBOL on it!

How’d he do that? 😉

The initial reaction to the gopher is priceless!  Some kids think the gopher must have “heard” them say their numbers, so we try it in silent mode too, just to be sure ;-).  I show this to students 2 or 3 times as their jaws hit the floor, then allow them some time to talk to one another and figure out how it works.  Some of them are starting to realize that everyone in the class had the same symbol each time, even if the two-digit numbers they chose differed.  I ask them to discuss the numbers they chose, the process the Gopher guides them through, and the resulting differences at the end of this process.  Is there a pattern that emerges?  What’s the trick?

Algebra spoiler below!  (You mean it’s NOT really magic?)

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Let’s represent the two-digit number chosen as

10a + b

…where a is the tens digit, b is the ones digit, so the VALUE of the number (because of our decimal place value system) is 10a + b

Then the sum of the digits in the Gopher’s second step can be represented as

a + b

And the value of the expression of the Gopher’s “trick” is

(10a + b) – (a + b)

=  10a + b  a  b

=  9a

A-ha!  So, the Gopher’s trick only results in differences that are multiples of 9!

Students are amazingly receptive to the algebra involved here.  Great review of:

*Distributive Property

*Combining Like Terms

* Multiples

* Concept of Proof

* The True POWER of Algebra!

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