Monthly Archives: May 2013

All Student Response Cards #made4math Monday

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In reading Embedded Formative Assessment (Wiliam, 2011), there have been several practical techniques presented in each chapter.  While discussing chapter 4, @druinok suggested creating response cards this summer, based on the technique All Students Respond.

  I had seen a set made by an elementary teacher in my leadership network.  She had several cards labeled with letters, hole-punched and attached to a 3 inch ring that could be opened and placed around the metal frame on student desks. She explained students always had access to them.

I kept thinking about how to accomplish the same idea for my classroom.  I had a package of name badge holders I had picked up at our Mighty Dollar in town, but never found a use for them.  Basically, I put this example together quickly, to have something for #made4math today. Its not innovative, but for anyone who does not have a “clicker system” or devices to use with Poll-Everywhere, etc., its an option that I believe could prove as a useful tool.

My idea is to have a single card, with all responses.  I would need to ‘train’ students how to hold their cards allowing me to see their response clearly.  Mine is double sided, this could easily be accomplished with cardstock printed, then laminated if you didnt have the badge holders.  Each student could clip one into a pocket of their INB and have them on hand when its time to use them.  Or they could be clipped either to a hanging ribbon or the side of a magnetic cabinet, even placed in a basket if you only had one classroom set.

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The first side includes a favorite of mine…always, sometimes, never…color coding green, yellow, red, respectively.  The student places their hand, so only the response they choose is visible and located at the top of the card when they hold it up for me to see.  I didn’t have the color circle stickers here at home, but I believe they may help in the visual for me to see.  By keeping responses color coded, I can quickly scan the room to see where students are, then make a decision as to what type of question follows or if we should procceed with discussion of why they responded as they did…supporting their claims with mathematical evidence, of course.

Notice, the QUESTION response.  A student may have a question or require some clarification, this choice doesn’t allow them to opt out, but provides a way to say, I need some help.

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On the back side, there are simply color-coded (different from other side) multiple choice responses, again to allow a quick scan before deciding how to proceed.  If multiple answers are chosen, begin by asking students to give possible reasons why a student may have chosen A or D-the other answer, if I chose A, could I figure out how someone else would have chosen D?  I also like to ask, noone chose B or C, what is a possible reason why someone would not have chosen  ___?

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Like I said, I plan to use color circle stickers which allow me to see student responsesmfrom across the room.  I am debating on howmto do true/false.  Would
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Enticing Students to Think with Food

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What better way to end our semester than a few tasks involving food?  Sometimes the last weeks of school can be filled with multiple distractractions.  In hopes of holding my students’ attention while they’re in class, I am bribing them to think with food.  Yes, I have fallen to enticing them with external rewards.

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With the Oreo Mega Stuff,  A Recursive Process offers some research by Chris & Chris.  My plan is to follow the QFT model outlined here.  I just recently became aware of the Question Formulation Technique which I shared in this post.  The Q-Focus is simply to display my package of Mega Stuf Oreos, wondering what questions they have – recording all of their comments as questions …and follow the process allowing them to determine their own questions, lead their own learning.  Though I would hope they would approach this from a volume stand-point – letting them design their own questions may lead to other ideas and I am fine, so long as they are thinking and talking math, yes they may eat their research tools once they’ve answered their chosen question.  The final product will be a 30-second pro/con commercial Mega vs. Original supported by their mathematical findings.

Offering several stations to review surface area and volume formulas utilizing various candies as they are packaged as well as the infamous pouring water from a pyramid to a cube / cylinder to a cone will be modeled as one of the station activities.

Finally, using the  Ice Cream Cone  found at Illustrative Mathematics.

ICE CREAM prompt and file

As a “reward” for successfully completing this task, I think a class Ice Cream Party would be appropriate.  I just need to know how much ice cream I should purchase to ensure everyone has plenty to enjoy without too many leftovers.  Assuming the cones are filled with ice cream with a “spherical” scoop atop – sounds like a great homework practice problem to me…

Geometric Measurement and Dimension (GMD)  Explain volume formulas and use them to solve problems
  • G-GMD.1 – Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
  • G-GMD.3 – Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
  • G-MG.A.3 : Modeling with Geometry- Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Several times this year, I’vfe gotten the GMD (geometric measureme and dimension) and MG (modeling with geometry)domains mixed up, I am slowly beginning to internalize the new notations. 🙂

I also like this prompt: Doctor’s Appointment for GMD-A.3.

On a side note – Reading an article in MT the other night – I wondered, “Was I supposed to know that?”

The derivative of area of a circle is the circumference?  The derivative of volume of a sphere is surface area?  Similarly…derivative of area of square is half the perimeter, derivative of volume of cube is half surface area…  How/Why did I miss that? Or did I know it at some point but just pushed it aside years ago?  Interesting…made me wonder and I started looking at other figures – will share more later.