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Making It Stick…With Beanbags

The book Making It Stick – the Science of Succesful Learning has caused me to consider how I approach practice and assessment in my math classroom. The section “Mix Up Your Practice”, in particular, provides ideas for considering why spaced practice, rather than massed practice, should be considered in all courses.

But it was an anecdote which began the chapter on spaced practice which led to an interesting experiment for stats class.  The author presents a scenario where eight-year-olds practiced tossing bean bags at a bucket.  One group practiced by tossing from 3 feet away; in the other group, tosses were made at two buckets located two feet and four feet away.  Later, all students were tested on their ability to toss at a three-foot bucket.  Surprisingly, “the kids who did best by far were those who’d practiced on two and four-foot buckets, but never on three foot buckets.”

Wow!

Let’s do it.

My colleague and I teach the same course, but on different floors of the building during different periods. Each class was given bean bags to toss, but with different practice targets to attempt to reach.

  • In my class, lines were taped on the floor 10 and 20 feet from the toss line.
  • For Mr. Kurek’s class, one target was placed 15 feet from the toss line.

Photo Oct 05, 9 33 54 AMAfter every student had a chance to practice (and some juggling of beanbags was demonstrated by the goofy….), I picked up my tape lines, and placed a new, single line 15 feet from the toss line.  Each student then took two tosses at the target, and distances were recorded (in cms).

We then analyzed the data, and compared the two groups (the green lines are the means):

bean bags

I love when a plan comes together!  The students, who did not know they were part of a secret experiment, were surprised by the results – and this led to a fun class discussion of mixed practice.  Here, the mixed practice group was associated with better performance on the tossing task. Totally a “wow” moment for the class, and a teachable moment on experimental design.

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A Sneak Preview of My 2015-2016 Classroom

Today is the last day of summer vacation. In the past week, boxes have been unpacked, t-shirts and class decorations have been hung, and my awesome school custodians have provided me with even more whiteboard space – all the better for getting students up and moving

classroom

But beyond the physical layout for this year, here are some ideas I’ll focus on this coming year, many provided by my friends in the Math-Twitter-Blog-O-Sphere, the #mtbos for short.

GREETING STUDENTS WITH HIGH FIVES – Intertwined with all of the mathy goodness of Twitter Math Camp this past July was a simple and powerful device for student engagement from my friend Glenn Waddell – the High Five.

Each day last year, Glenn met his students at the door to give them a high five – a simple, caring gesture to establish a positive tone for class.  I often meet students at the door before class or linger in the hallway for informal chat, but I love the tradition and rapport Glenn establishes here and hope to emulate it.

ESTABLISH SEMI-REGULAR RANDOM GROUPINGS – this gem comes from Alex Overwijk, who is the king of Vertical Non-Permanent Surfaces and Visible Random Groupings. This year, I plan to randomly change my seating chart once each week, or at the start of a new unit – whichever seems to make the most sense at the time.  Traditionally, I’ll assign groups on my own and change them once or twice in a semester.  With some classes, I’ll allow students to choose their own groups.  But I have found that these practices often foster group-think, where a group will together develop the same bad habits through their work together.  I want more interaction, more sharing of ideas, especially in cases where students otherwise would not have encountered each other. I’m planning to assign each student a playing card on the first day, and set the new groups by dealing cards on the desks on days when it’s time to change.  I also confess here that a static seating chart was a huge crutch for me, as I would print out student names for me to glance down at when I needed.  Which leads into another goal for the new year…

better jobI MUST LEARN NAMES DAMMIT! – I confess this could be one of my weakest areas as a teacher. I could make all kinds of excuses for it, but it comes down to this – I drop the ball when it comes to learning and recalling my students’ names. We start school next Tuesday with a 4-day school week, and my goal is to know all names as they walk in the door by the first Friday.  I have already gone through my class rosters (which conveniently provide photos). How awesome would it be to know student names before they even walk in the door?

And beyond my current students, I am brushing up on names from students I taught last year. I’ve missed out on these connections for too long, and it’s my fault – time to work harder at it.

IMPROVING MY HOMEWORK PRACTICES – I don’t grade homework anymore, and in many cases have changed the nature of assignments. I’ve settled into the philosophy that I would rather have students think about a handful of meaningful, discussable problems rather than complete a laundry list. This year, I am looking to include more articles and video clips for students to observe and discuss in lieu of traditional assignments.

To go over homework, I often employ random methods to share works on my document camera, with mixed success. I’m finding that since I don’t directly look at assignments anymore, the completion is spotty at all levels. I may need to go back to a few minutes of checking and informal greeting at the start of a period to improve assignment fidelity.

grabUSING REFLECTOR TO ENCOURAGE PARTICIPATION – It can’t be the new school year without a new tech tool to try out. This year, I am looking forward to using the Reflector 2 program from the folks at Squirrels. This inexpensive software, loaded onto my laptop, allows me to relfect the screen from my ipad or iphone onto the laptop. I’m hoping this will allow me to be more hands-free for presentations, and hand over the ipad to students to take control – using Desmos or Deoceri to create works and share in front of the class. Also, I’m wondering what a class would look like where students could reflect their own phones onto the screen and share works. Day 1 of class could feature a “load test” – what happens when many, many students all try to reflect their graphs at the same time?

Now, out to the craft store to buy some last-minute stuff!

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Twitter Math Camp – A Scalable Model for PD?

I’m finally gettick myself back to “real life” after about 3 weeks on the road, with stops at the Jersey shore, San Diego and Las Vegas. Sandwiched in the middle is the annual professional awesomeness of Twitter Math Camp. Now in its 4th year, TMC has evolved from a small group of online colleagues interested in discussing Exeter problems do a full-blown 4-day conference. Participants take part in the same morning session for each of the 3 days, a structure designed for digging deeper, encouraging conversation beyond the conference time, and developing ideas. In the afternoon, Keynotes by Ilana Horn, Chris Danielson and Fawn Nguyen inspire the crowd before afternoon sessions, which feel similar in structure to traditional conferences.  But with only 225 participants, the difference lies in the intimacy. Conversations easily move to meals and informal evening gatherings. The opportunity to extend the conversation with a speaker after the session hours is welcomed and embraced.

Compare this to the NCTM and ISTE conference models, even down to the regional and state-level conferences (full disclosure: I am programming co-chair of the upcoming Pennsylvania state conference, so I may wind up unintentionally yet, maybe I kinda-sorta mean it bashing myself here….let’s see).  There is a menu of sessions, some keynotes designed to draw folks in, and some planned sessions to wrangle folks together.  And vendors. Lots of vendors. No vendors at TMC…just straight-up PD, with the exception of sessions on Desmos and from folks at Mathalicious which begin to blur the lines between PD and self-promotion, but the mission is certinly not designed to support product. So, how is the TMC model different than the large-scale conferences? Here’s my non-exhaustive list:

  • Morning “themed” sessions at TMC encourage reflection through the week. Participants are expected to stick with their morning sessions and see it through.
  • The size of the conference provides laser-focus on math PD. No getting lost in the sea of 10,000 people in the convention hall.  The speaker you just saw in the last session may be sitting next to you learning along-side in the next session. Deeper conversation takes place at all hours.
  • Participants are encouraged to share out their experiences after the conference. Conversations continue via twitter, blogs and facebook long after the conference ends.
  • Teachers who cannot attend can participate and are welcomed into conversation. Global Math Department this week will feature a menu of speakers from TMC designed to summarize sessions and provide resources for those who missed the conference.  Presenters are encouraged to share resources for all on the conference wiki, and twitter conversations link teachers to teachers.

tmcThe morning session on Desmos I helped facilitate may have been the most powerful PD experience in my career. This is mostly due to the positive, team approach with enthusiasic colleagues who I admire greatly. Glenn Waddell from Reno and I have shared Stats ideas through twitter often, and see each other only now and then at conferences – his blog is a fountain of classroom resources.  Jed Butler has definitely become one of my go-to guys in the last year; his creativity and ability to build something new and meaningful quickly astounds me – check out the Desmos Bank he has developed, and share your works. And I was most excited to work with Michael Fenton. If you have never seen Michael’s Ignite talk – Technology and the Curious Mind – run there now….it’s only 5 minutes…we’ll wait for you… and visit the Reason and Wonder blog to get your feet wet with Desmos challenges. In the months leading up to TMC, we “met” a number of times via Google hangout to discuss what we wanted from our morning session – how do we structure the session for a large, diverse groups of learners. What themes do we want to develop through the conversations? How do we encourage learning to continue after the the conference has ended?  The team facilitation model has encouraged me to think this way as I consider other conference talks – hopefully starting with an ISTE session next summer with Jed.

What’s the future of the traditional “set and get” conference, in a connected world?  It seems that NCTM is starting to feel heat to change its model, as Matt Larson (President-elect of NCTM) attended TMC for a day with the NCTM executive director to soak in the experience, and presented a session in which NCTM’s Professional Learning Strategic Plan was outlined.  Some highlights:

  • NCTM will establish smaller, regional conferences based upon a theme, and replicate.  This sounded a lot to me like the Future Ready regional summit concept which is making the rounds this year – promoting a common message in more intimate gatherings,
  • Teams of professionals will be encouraged to attend and participate. How this works out financially is up in the air.
  • Reflective practice will become a bigger part of the NCTM message. This could mean promoting conversation after a conference through message boards (eh), allowing comments to published articles (I’d like to see this) or twitter/facebook/social media.

But in terms of PD, this exciting announcement leads me to believe NCTM is on the right track:

There are some promising developments here, though a problem of scalability will remain sticky.  TMC works because of its size and the zeal of its participants, and there is no desire to get much bigger. The math teacher twitter community is still small enough that conversations with colleagues from across the country are manageable.  What would happen is even 10% of the math teacher workforce became actively engaged?  It would be a great problem to have – but what gets lost?

Regional, focused conferences also sound great, but also present missed opportunity.  This year’s California TMC was amazing for me, as I had the chance to interact with west-coast math folks who I rarely see (or whom I have never met). Matt Vaudrey, Fawn Ngyuen, John Stevens, Michael Fenton, Peg Cagle….ok…..I’m stopping here….too many names to list. What connections are missed by regionalizing? Does it matter?

There’s a lot here to think about…check out the TMC wiki, find that 1 thing which fits in your classroom, and share it out.  The future of PD seems bright, but how do we manage it? I welcome your thoughts.