WNBA Scoring Averages – Activity Analysis

Here’s an image from an activity (WNBA Scoring Averages) that I wrote earlier this year.

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When we dropped the activity into the search pool at teacher.desmos.com, I didn’t think it was a world-changer, but I was pretty sure it wasn’t untouchably awful.

Hang on a sec while I fire up our database to check how many times it’s been run since it arrived on the scene in May 2016 .

Seven, eight, carry the one… Round up for good measure… Almost there… Aaaaaand…

Zero. Zero sessions.

Needless to say, that’s not a lot of sessions.

So what went wrong? I’ll offer a few theories, and along the way highlight a couple of things that might be worth preserving. I’d also love to hear your thoughts on how to make this—and activities like it—better.

Screens 1-3

Bummer. 27% of the activity just to set the context. That’s killing my discussion-to-screen-count ratio.

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Screen 3 (above)

Before asking for a calculation, ask for a prediction. Nice!

Screen 4

An opportunity for students to wrestle with the meaning of a scatterplot in a setting they haven’t seen a thousand times. Also, a chance for teachers to highlight interesting responses, starting with informal ones and progressing to formal ones. That being said, I can’t shake the feeling that nobody cares about the patterns they see on this screen.

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Screen 5

This screen’s a mess. “The red point means WHAT? My original prediction? I can’t remember that!” And a purple point that I might move? This is just awful. (P.S. What’s the input field for on this screen?)

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Screen 6

I can just hear the conversation now… Me: “In row 1, write the equation…” Students: “Why?” Me: “Because I said so.” That line hasn’t been working with my three year old twins at bedtime, and I don’t think it’s going to play out well in the classroom. There’s got to be a better motivation for plotting this line now, something beyond the “trust me, just do it” rationale I offer here. Maybe the solution is to skip having students enter the line, and just jump from Screen 5 to 7?

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Screen 7

Continuing that thought… I propose deleting Screen 6, and revising Screen 7 to read: “(1) How do the points compare to the line y = x (shown in black)? (2) What does this mean in context?” Even still, I’m not sure how strong a screen that leaves us with.

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Screen 8

“Boom, a line of fit! Now use it! ” This screen reveals a couple of major open question I have about modeling activities in Desmos Activity Builder. (1) Should students generate the line or curve of fit? Always? Sometimes? Never? I think “sometimes” is the right answer here. But I’m not clear (yet) on when it’s the right move. Here I offer it to students “for free” so they can focus on using and interpreting the line. But I’m not sure that’s the right move. (2) Many of the modeling tasks I’ve build in Activity Builder feel a little too linear and granular (as in, one tiny step, then the next tiny step, and another, and another, with all students moving through in the more or less the same manner and sequence). Is this the best approach? I doubt it. But what’s the alternative? I haven’t figured that out yet.

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Screen 9

Interpret the parameters in context. Yay!? But—students had no role in generating that value, so it feels uninteresting to ask about it. I’m wondering about an alternative screen—or sequence of screens—where students use sliders to create their own line of fit. Then answer a question or two about the meaning of their parameters in context, ideally in contrast to a classmates’ parameters. Hm. Still feels lackluster.

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Screen 10

I’ve thrown this discussion-prompting screen into a handful of activities over the last several months. Do you think it’s helpful? My hunch is that some teacher tips go unread, but a student-facing screen encouraging discussion at this point is sure to be noticed.

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Screen 11

As was shared recently over on the Desmos blog, we strive to activities that are easy to start and difficult to finish. Low floor, high ceiling, etc. Extension screens are one small part of that puzzle, and I’ve dropped one in here to wring a little more value out of the context, and to spark (possibly) a conversation about residuals. I like this screen. At least I think so. I’d love to know what you think.

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General

I’ve rambled a bit about what I do like, and what I don’t like. And in the latter, hinted at ways that I might be able to improve this activity. Unfortunately, even with those improvements, I don’t think this is a particularly strong activity. It lacks a compelling problem. There’s very little cognitive conflict, even with the predictions at the beginning. (Maybe I could hold those up at some point early on: “Here’s your prediction. Here’s all your classmates’ predictions. Let’s see who’s closest!” Or maybe not.) Students don’t have very many opportunities (if any) to be right or wrong in interesting ways.

Over To You

So what do you think? Is this salvageable? What does it suffer from in its current form? What strengths does it have, and how could we build on those?

Thanks in advance for chiming in!

Home Run Kings – Activity Analysis

Earlier this year, I wrote a Desmos activity called Home Run Kings. Here’s the blurb from the activity page:

In this activity, students interpret quantitative data in order to predict whether Bryce Harper—a promising young professional baseball player—will break the all time record for most career home runs.

I like some things in the activity. I’m not so sure about others. I wonder if you’ll help me give it an upgrade?

I’ll start by adding some screen-by-screen commentary. After that, here’s how you can help. Let me know…

  • What you like
  • What you don’t
  • What you’d add/edit/remove

Bonus points if you try this out with students and share a summary of their feedback!

Screen 1

A few words (and an image) to set the context.

screen1

Screen 2

I offer students a bit more context (in this case, a graph showing Harper’s home run totals for the first few years of his career) and ask them what they notice. While I’m interested in the full range of responses, I’m expecting quite a few students to focus on the big jump from 21 to 22 years.

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Screen 3

Next up, I use a sketch screen to capture informal student thinking about the relationship between home runs and player age. One of the things I love about sketch is that students don’t have to worry about function families, equations, formal domain restrictions, or anything. Just sketch the relationship. (Side note: Don’t conflate formality with richness, here or in other activities. There’s plenty of fodder for rich discussion, uncovering misconceptions, and developing ideas in informal student responses—sketches and otherwise. Of course, building toward formality is a noble goal, but informality is a great place to build from. This concludes my soap box tangent.)

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Screen 4

We’ll circle back to Bryce Harper in a moment. But first, a screen to draw out student observations on a pair of graphs showing full (and home run-prolific) careers. The heart of this activity is all about interpreting graphs in context. My hope is that this screen helps move students along toward that objective.

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Screen 5

Here I bring Harper back, with five other players’ career totals shown. I’m concerned that there’s too much going on visually on this screen. Would you second that thought? Or push back against it?

Concerns aside… This screen asks students to use the graphs to pick a side and defend their answer. Actually, it asks them to play their own devil’s advocate and construct an argument on both sides. Too much for one screen? Again, I’d love your input here.

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Screen 6

The reveal. Not as flashy as some other things I’ve seen online. All I could muster is a screenshot. Any thoughts on how to improve the reveal here? Or does this simple approach serve its purpose?

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Screen 7

One challenge I’ve had in thinking through how Desmos activities might play out in other teachers’ classrooms is how best to communicate “Hey, a discussion would be really great right here!” We use teacher tips to that effect. (Successfully? I’m not sure.) But I’ve also tinkered with a discussion-prompting screen like this one a few times as well.

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Screen 8

I’ve made a habit of including an extension or two at the end of Desmos activities to allow students who finish a bit earlier to occupy themselves with something related and worthwhile as classmates finish the core part of the activity. And to allow teachers to assign some followup thinking/exploring for home.

I’d love to hear your thoughts on that approach in general, as well as how it plays out in this particular activity. (Though, based on the screen title, it seems I had plans for a second part of the extension that I never got around to building.)

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Your Turn

What did you like/dislike? What would you change? Thanks in advance for your comments below and on the Twitter.