On Threshold Concepts and Experiences

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In a recent post, “On Knowledge and Curriculum,” we reviewed a few disruptive ideas from cognitive psychologist Daniel Willingham, with the most incendiary implication being:

a school needs to come to a consensus on the topics, texts, vocabulary, and concepts that are most essential to know within and across each academic domain and carefully sequence and reinforce those concepts across classrooms and grades.

So how can a school embark upon this quest? In this post, I will attempt to provide some guiding ideas and protocols for this work.

How Do We Reinforce Knowledge?

First off, a few guiding documents to equip you with the cognitive principles of affirmative testing, which are essential to reinforcing knowledge over time:

—Annie Murphy Paul, “Affirmative Testing” (she has designed an entire e-course around these concepts!)

—Deans for Impact, “The Science of Learning

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How Do We Determine the Knowledge that is ESSENTIAL?

Folks are going to disagree about this, including the “experts,” so ultimately, this determination should be made collaboratively within a school (and beyond). The key is that the school comes to a consensus on this essential knowledge, then teachers carefully sequence it across the curriculum and quiz it repeatedly in a low stakes manner.

There’s a useful frame, known as threshold concepts, for drilling down to this “essential knowledge” within a specific academic domain. Threshold concepts come out of higher ed academia, and it’s admittedly a bit esoteric in the literature, but I think it’s a useful lens with practical implications. Threshold concepts are very much related to Wiggins and McTighe’s “big ideas,” but with a few interesting twists.

I first stumbled over the threshold of these concepts in blogs from UK educators, to whom I’m indebted for starting me on this journey:

—Alex Quigley, “Designing a New Curriculum: What are your ‘Big Ideas?’

—Joe Kirby, “One scientific insight for curriculum design” (he also sums up research on affirmative testing really well here)

What we’re really trying to get here is that 20% of the knowledge that is most essential to understanding an academic domain in a specific grade. Here’s a frame for this:

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How can threshold concepts help us to determine that 20% of essential knowledge within a specific academic domain? I decided to review some of the literature for further clues:

—Ray Land, Jan Meyer, and Jan Smith,”Threshold Concepts within the Disciplines” (Land and Meyer are the rockstars who originated the concept)

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—James Rhem, “Before and after students “get it”: threshold concepts” (a useful overview)

This idea of a transformation of understanding that is essential for progressing deeper into the academic content is really interesting.

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—James Atherton, “How do people ‘get it’?” (another useful overview)

There are many other characteristics that were identified, but they don’t all seem very useful in a practical sense for K-12. I think the three outlined above are the most relevant and applicable.

—Tracy Fortune, Priscilla Ennals, and Mary Kennedy-Jones, “The Hero’s Journey: Uncovering Threshold Barriers, Dispositions, and Practices Among Occupational Therapy Students

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I love this idea of viewing a student’s passage through a threshold concept as akin to a hero’s journey. In considering this journey, what are the troublesome obstacles and bottlenecks that student will face? The idea of “bottlenecks” comes thanks for the link immediately below. In thinking through this, I also think we need to acknowledge that bottlenecks may not be purely conceptual — they can also be procedural, in the form of skills required to complete academic tasks, as well as social-emotional (this can be a tremendous and often unaddressed barrier for many kids).

In this sense, then, we can expand the notion of crossing a threshold to not solely refer to concepts, but furthermore experiences. As educators, we seek to design experiences in which students engage in an academic form of a hero’s journey, learning to overcome barriers and gain the intellectual accomplishment of mastering skills and knowledge.

—Joan Middendorf & David Pace, “Decoding the Disciplines: A Model for Helping Students Learn Disciplinary Ways of Thinking” (they offer a useful protocol that I’ve drawn from below)

OK, So How Do We Discover These Threshold Concepts and Experiences?

But we still need some kind of process for distilling away all the cruft and getting down that 20% of the most essential knowledge within a content and grade.

Here in the US, we have a general list of skills we use as guidance in the form of state standards. And as I’ve done with the Common Core standards, we can do a deeper analysis to begin unpacking what that knowledge might be.

But this can still be at a pretty abstract level, and we want this to be relevant to classroom teaching. By focusing on the topics and texts that will be studied, we can make this more concrete.

Because English Language Arts is my specific area of expertise, I’ve focused my efforts in this area, especially since this content area is probably the most difficult to pin down in terms of a progression of knowledge.

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There’s two ways we could utilize this protocol: 1) unit of study, or 2) over the entire school year.

1) Consider the topics and/or texts that will be taught.

2) What will be the product or products that students will be expected to create that can demonstrate their mastery of learning? (This product could also be a performance).

3) What are the primary modalities that this product is focused upon? In literacy, of course we’re focused on all modalities, but it helps for a department to focus upon the one they consider most essential.

4) Now consider the standards that your district adheres to. For the Common Core, they are helpfully broken up by modality, so turn to that modality. Then, narrow down which specific, few standards you will primarily be targeting.

5) What are the bottlenecks, most especially those that are conceptual and specific to this content, that students will encounter?

6) Evaluate the list of items you have generated. Do they fit the criteria of a threshold concept or experience? Are they transformative, integrative, and troublesome? If not, they may not be essential.

7) You don’t have to do this, but I find that at this step it can be useful to phrase the threshold concept in the form of a message or lesson, akin to a theme statement.

For example, for an upcoming professional learning session I’m working on about supporting struggling middle school readers, I’ve identified the following threshold concepts:

  • Students that struggle with reading comprehension also often struggle with a lack of academic and world knowledge. An English Language Learner can also be understood as native English speakers that do not understand the language of math, science, social studies – i.e. academic, formal, domain specific language.
  • A teacher must work through a task/text in order to identify key takeaways, key vocabulary, and potential barriers to learning, regardless of whether a curriculum is provided.
  • All learners can be engaged in reading and comprehending complex academic texts through well-designed activities, tasks, and resources.
  • An environment in which a student feels safe to take risks in front of peers is a prerequisite for learning — most especially for struggling readers.
  • Learners should be explicitly equipped with strategies and mindsets for when they encounter challenging vocabulary on their own.

It’s important to note that threshold concepts will vary completely depending on any teacher’s specific set of knowledge, perspectives, and interest, and I think that’s OK. What’s most important is that once these most essential concepts and experiences have been identified and voiced, they will not only help to focus that teacher’s instruction on what they feel is most important, they will serve as a basis for arriving at a consensus as a department and as a school.

Here’s a few really basic examples at a unit level of study:

Now that threshold concepts and experiences have been identified, here’s the really hard part:

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This is where the rubber hits the road. This is the part that is so very contrary and disruptive to the norms of public education.

 

I hope some of these resources in this post are useful to your work. The slides outlined above and the protocol are accessible and downloadable here:

Smorgasbord: Acclaim for Michaela, Cognitive Science, and a Movement for School Integration

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I’ve been moving apartments this week, so I haven’t been as closely attuned to all things ED, but here’s a few links worth reviewing when you take a break from admiring the swiftly changing color of the leaves on this lovely autumnal weekend.

Acclaiming Michaela

There’s a school entitled Michaela that has apparently been getting some guff in the UK reminiscent of the strong debate that Success Academy engenders here in NYC.

Tom Bennett, the founder of ResearchED (coming to a D.C. near you in a couple of weekends), writes a defense of the school, noting that while it’s intense structure and discipline are not for everyone, critics need to get off their high horses.

Doug Lemov has also taken a gander, and he challenges educators to learn from innovations that are worth emulating, rather than merely criticize from afar. In that spirit, he is exploring some of the practices he finds worthy of stealing in a series of blogs, beginning with this one on Michaela’s “maximum impact, minimum effort” grading policy. Schools renowned for sucking the pith out of young teachers (like, ahem, Success Academy) would do well to consider it. Teaching is a demanding profession, and the more we can reduce paperwork that bears little impact, the better.

I haven’t been much aware of any controversy around Michaela, but I have been very aware of it’s innovative and research-based approach to instruction and curriculum design, thanks to the consistently trenchant writing of Joe Kirby. This summer I switched to an out-of-classroom role designing professional development, and I’ve found myself continually revisiting some of his posts, as well as blogs of other UK educators such as Daisy Christodoulou, Alex Quigley, David Didau, David Fawcett, and many others. I don’t know what’s in the water over there, but UK educators seem to spend a lot more time blogging about practice and research, rather than politics, and it’s refreshing.

Speaking of Research

Deans for Impact founder Benjamin Riley penned a piece for Kappan presenting the case for educator practice to be informed by principles from cognitive science research. And if you haven’t read Deans for Impact’s The Science of Learning, you should probably make that priority number one. Another resource I’ve found myself continually revisiting when designing professional learning.

The Movement for Increasing School Diversity is Growing

I’ve written about the need for increasing school and neighborhood diversity before, and you’ll be hearing much more from me on this; it’s the focus I’ve selected for my NY policy fellowship with America Achieves this year. I’ve been really excited to see an increasing amount of media coverage, advocacy, and ground work taking place on this issue.

This week, NYC Councilmember Helen Rosenthal pushed back against the privileged Upper West Side parents who have been vocal opponents of school rezoning efforts.

The Hechinger Report took a deep dive in an analysis of the desegregation and resegregation of Greenville, Mississippi. Many insights and lessons to heed here.

The Century Foundation released a report on the increasing efforts at school integration, while highlighting the dinosaur progress occurring in NYC.

And Nautil.us magazine highlights research from MIT that “has shown that in both the U.S. and European Union, wealth is predicted by the diversity of face-to-face communication and that both poverty and crime levels are predicted by the isolation of a community.” This confirms my premise for increasing school and neighborhood diversity: we can only really fight discrimination and bias, and improve long-term outcomes, when we interact daily, face-to-face, with others who are different than us.