SBG: Skills Mastery as the Beginning, Not the End

Ah, the interminable design cycles that we as teachers put ourselves through! Something that I often find challenging is how lengthy these cycles can be–I mean, if the day after you’ve shared a lesson with kids you have a great idea about how it could have been way better, it could be up to a year or more before you get a chance to try it out.  And that’s if you remember your idea.

The cycle that has thrown me for the biggest loop is the one I’ve been in about SBG (or Standards-Based Grading).  When I first got into this mathedtweetblogiverse two years ago, I was excited by the work Dan Meyer and others had done to make their expectations about skills clear to their students.  Until that point, my own assessment arc had not been going well.  From the start, it had been really hard to match up my previous experiences with assessment with Saint Ann’s culture and ideals.  Giving quizzes and tests in arbitrary and knee-jerky fashion after we had covered “enough” material fizzled in the face of not giving grades.  Also, neither the tests themselves nor the feedback and corrections I labored over seemed to improve anyone’s understanding.

When I pulled back from those traditional assessment methods, however, I found myself in something of a vacuum.  The fact that I’m in charge of my own curricula and evaluations with little to no constraint–coupled with the fact that I tend to spontaneity and disorganization–often meant that I did few formal assessments whatsoever.  I knew that my students were learning things from the work they were doing for my class.  I could make records about my observations of their activities to include in my anecdotal reports.  Still, I couldn’t help but to think something was missing–my students just weren’t being best served by the lack of clear expectations, a systematic way of pursuing them, and a feedback cycle.

Enter SBG.

Trying to bring Standards-Based Grading into a no-grades school was an interesting adventure.  Suffice it to say that after trying out several different formulations over the past two years, I’m really excited to try out my new approach very soon.  I’ve decided to go binary with respect to my skills quizzes, since trying to measure progress toward understanding numerically never felt fruitful to me in practice, and there’s no need for me to establish a final “average” for each kid.  (Shawn Cornally’s thoughts here also helped to get me there.)  I’ll continue to have skills lists for my kids and weekly quizzes for them to choose from in order to demonstrate their mastery.  I’ll be giving them copious feedback and letting them know if they nailed it or still have work to do, and we’ll both keep track of the skills they’ve mastered.

Still, I really wanted to find a way to encourage students to see that skills mastery is the beginning of the story, rather than the end.  Skills are tools that let you do new things, that empower you, that even give you a new bit of social capital.  With these thoughts in mind, I designed the following sheet to help kids to track their progress toward skills mastery and to inspire them to use their knowledge in fruitful ways.  I’ll be using the same document to track their progress.

That first column gets checked off once a kid aces a weekly skills quiz–that’s the binary got-it-or-don’t.  The space below is for me and students to keep track of feedback that I give them and reminders they might make for themselves.  The other three columns are by no means sequential and don’t represent “stages” past mastery.  Rather, they are suggested asperations and goals for the newly-minted master geometric-series-summer.  Would you like to try a non-routine problem that involves geometric series?  Just ask me for one.  Does someone you know–in our class or out of it–need help with this topic, or just curious about learning some new math?  Share your new knowledge and document it by journaling, snapping a photo, or making a video.  Did you recognize three months later that knowing how to sum geometric series opened up a route to solving a problem as you worked on a project?  Sweet!  Include it in your project write-up.

The point is that those other columns are an ever-present alert: You know things!  You can seek out ways to use your knowledge!  All three of the “choice prongs” are here–the suggested tasks are big and open-ended, the timeframe is as long as needed, and students can choose these for themselves as goals and record and reflect on their successes as they happen.

A final thought: it seems to me that something like this could be easily adapted to a grades environment.  I’m not well-practiced at designing grading schemes, but I’m thinking:

  • non-mastery of a skill in isolation is a high F
  • mastery of a skill in isolation is a high B or low A
  • mastery of a skill in isolation plus a further use of the skill is a high A

And then average them up.

Thoughts on the practicality of such a grading scheme?  Comments on the set-up I’m going to try out?  Ideas for other ways of building and sharing skills mastery beyond use in isolation?

Choice in Class: Three-Pronged Attack

So at the EdCamp session about choice, I shared three ways that I’ve tried (and am trying) to encourage student choice in my classroom:

  • “free choice” time
  • wide-open projects
  • goal setting

When I wrote those up on the board at EdCamp, I had them associated with three of the classes that I’m teaching this coming year–fifth grade math, high school geometry, and calculus, in that order.  Upon further reflection, I’ve begun to see how I want to have all three features embedded into all of my classes, as well as how they all rely upon each other.  I’ll say more about these three prongs individually at a later date–and writing about how they actually happen in my classroom on a day-to-day basis is what I’m here for.  For now, I just want to say a few words about each to give some context.

Briefly, free choice time is time set aside in class when students are working on their own thing without my giving them direction.  I make available a variety of resources and suggest a range of possibilities.  I did this for the first time this past year with my 6th and 7th grade classes.  Each week on Friday after their SBG-style quiz buffet, students would pick up some new activity or continue on their ongoing project.  As a point of reference, think of Google’s “20% time”.

By wide-open projects, I mean some piece of extended work where the steps haven’t all been laid out for the student.  Further, the end products that individual students produce may look very different–either because they’ve investigated different problems, or approached the same problem in different ways, or because they’ve chosen to share their efforts through different media.  It’s easy for me to point to examples from my geometry course, like this project about geometric properties.  But now that I think of it, the free choice time activities could fall into the same category.

For goal setting, I mean asking kids to figure out what they want to accomplish and helping them to do so.  I’ve done this some with my middle schoolers with their skills quizzes–which ones they want to prepare for and take the following week–and now that I think of it, in helping them navigate their free choice time activities.  This year I plan to ask my 5th graders to reflect on both their quizzes and free choice time activities as weekly journal assignments.  However, my mind for whatever reason has recently been thinking about this in the context of my upcoming calculus class–having my students do the same kind of journal reflecting, for one, but also helping them to establish larger goals about what “success” in the class will mean for them.  A student could decide that basic proficiency on the items on my skills list is what he’s after.  Or maybe he wants to get almost all of them, but to try tackling some additional challenge topics.  Or who knows what.  Allowing him to make that decision and then helping him with following through on it seems huge to me in terms of motivation and learning that’s bound up with integrity.

To summarize: give students the time to dig into a rich variety of possible activities and the freedom and guidance to choose among them.

Finally, I should say that at Saint Ann’s we don’t give grades to our students and that curriculum is by-and-large decided upon by each teacher for his or her classes.  The way I give an account for how my students use their free choice time is the same as how I report on anything else they accomplish–through a semi-annual page-long report, individualized for each kid.  Having no grades definitely frees me up to take chances with what I do in my classes, and not having to worry about attaching points to tasks makes something like free choice time easier to legitimize in my classroom.  But even with no grades, fostering student choices is countercultural, it runs against my own inherited habits and thought patterns, and it’s really hard.  Still, I deeply believe and hope that real student agency and empowerment is important and that it can happen in any school.

I’m excited to find out whether these ideas resonate with your own experiences and your own hopes.

Germination

Two years ago, Sam Shah planted a seed in my head.  We met at a summer teaching conference at Phillips Exeter Academy in New Hampshire, despite the fact that we teach nearby each other.  Through Sam, I was introduced to the delights of the edumathoblogisphere and soon I was on Twitter and reading blogs with relish.  (Thank you!)  Despite his encouragement, I was reluctant to blog myself.  I didn’t feel like I had much to say, and certainly not in an extended format.  Writing has always been a ponderous process for me.  It takes me forever just to write a short email because I edit and proofread to an admittedly absurd degree.  I like talking and conversing a lot more—how provisional and reshapable and easily qualified everything can remain when you’re just talking.  Print seems awfully definitive.

But that seed has slowly germinated over the years, like a pot simmering on the back burner, and from time to time I’ve almost started in on the project.  To entirely mix metaphors, going to EdCampCT on Thursday was the straw that broke the camel’s back.  I helped to create a session on giving students choices and autonomy in the classroom—a topic that has been much on my mind as the new school year approaches.  Two things happened.  First, I heard myself say some things that didn’t so much surprise me as struck me.  That’s another great thing about talking.  Sometimes in explaining myself to new people I find myself saying things that I had never really articulated before, even to myself.  Over the course of that session, I realized how much I’ve at least begun to make choice a core value and governing principle in my classroom.  I hope that by blogging about helping my students to choose mathematics for themselves, I’ll continue to learn about and develop my thoughts on the matter.

The second thing that happened was that Frank Noschese—who has blown me away in the few months I’ve been following him—asked me afterwards about some details of how I’m implementing SBG in my classes.  Later on, he tweeted me about whether I had a blog post or something explaining some of this.  I told him I would have have one up as soon as I started up a blog.

So here I am.  :)