Cognitive Flexibility
revisited

Facilitator instructions

  • [5 min] Intro & dive right in

  • [10-15 min] Activity

    • Break students into 4 groups of 4-5

    • Give groups about 10 minutes to engage in the activity before calling them back and walking through the solutions

  • [25 min] Pivot prompts

  • [10+ min] Debrief

Activity

Art Gallery Problem

Here's a chance for you to practice computational problem skills!

    • In-person: printed worksheets + toy bears (about 6 per group)

    • This site has an interactive version which can help illustrate that the guards have 360° vision.

Solutions

Layout 1:

  • 1 guard anywhere in the square

Layout 2:

  • 1 well-placed guard can cover the entire region

Layout 3:

  • 2 guards can cover the whole region

Layout 4:

  • 3 guards

CS Connections

If you have time and are comfortable, you may share that this activity highlights recursion (and the analgous proof by induction) and stacks. You might want to talk about where you encountered this in your own CS journey (probably CS 205 and Discrete Math) and how it landed with you.

Cognitive Flexibility

Recall that cognitive flexibility can help us stretch to adapt to unexpected situations:

  • Be open

  • Try different perspectives

  • Generate multiple solutions

A team with a diverse set of backgrounds and experiences is better positioned to see the situation from many perspectives and can come up with a variety of solutions.

Transcript

Have you ever tried to start on something but struggled, hit a roadblock, and thought “how can I do this strategically?”


You may have heard of the term metacognition. It’s the awareness and understanding you have of your own thought processes. So it’s really, how you think about your thinking. Because the impact of having metacognitive skills is so robust, it has been one of the most researched topics in learning for the past 40 years.


You can think of metacognition as a flashlight that allows you to navigate through your thoughts. Without metacognition, when faced with something new or challenging, we might engage in haphazard guesswork, or focus only on how much time we spent, rather than paying attention to what exactly we did, which can lead to feelings of frustration or a lack of confidence in our abilities.


This is why developing our metacognitive skills is a crucial first step in being strategic. We can then employ an iterative process, where we create a plan, try it out and, evaluate by asking- did it work?. This helps us revise the plan and repeat the process!


Researchers call this cycle self-regulated learning, which strategic, effective learners intentionally practice. So, without metacognition, learners, unaware of their thought process, cannot self-regulate.


So how can you exercise your metacognition and self-regulate when you encounter your next challenge? Pause and notice how you are approaching the problem. Are you being strategic? Start by coming up with a plan. If you’re stuck, you can find out what has been tried before. You can keep a log or record of how you spent your time, what you tried, and what the outcomes were. You can seek help from others. By talking with someone with more experience, you might find something to practice, look up, or try differently. You can also get feedback on your approach by sharing your log or record. When faced with a large challenge, we can be strategic by breaking it down into smaller tasks. We can work on it piece by piece, and perhaps with the help of others, we’ll manage to figure out where to go next or find what is wrong.


While we are often motivated by a big goal such as finishing a difficult project or even a long-term goal like becoming an artist, a software engineer, or a public speaker, we need to remind ourselves that we can be strategic. So how do you assess your progress?


This week when you find yourself stuck on something, stop and reflect on what is or isn’t working. Write it down. Your metacognition--this awareness of how you are learning or doing something--is what will allow you to be strategic and self-regulate to iteratively plan, try, and evaluate.

Optional: Fishbowl activity

We'll engage in this activity as a cohort. The approach we'll use is called a "fishbowl" and is common in other disciplines (especially with lots of discussion-based meetings). For this module, it will help highlight the power of perspective-taking.

We'll rotate through the group, giving each 5 minutes to “own” the room and respond to a "pivot prompt." When it is not your group’s turn, stretch your cognitive flexibility by listening in for different perspectives.

When it is your group's turn, you will:

  • read the pivot prompt, which gives an unexpected twist on the original Art Gallery Problem you just looked it

  • react and discuss as a group

    • remember to challenge assumptions:
      move from "it is ________" ------> "could it be _______"

    • you may want to identify questions that would clarify your understanding of the problem; for the activity, pose the problem, then make up an answer so you can continue problem solving

Pivot prompt #1

It turns out your guards have an additional amazing skill -- they can move side-to-side!

How will you adapt your solutions to the various layouts?

Pivot prompt #2

You've just found out that your guards don't actually have 360° vision (because, really, what human does?). They only have 120° field of view centered in the direction you place them in; in other words, they cannot rotate once they've been stationed.

How will you adapt your solutions to the various layouts?

Pivot prompt #3

Your galleries can have obstacles that can block the view of the guards. For example, there could be interior courtyards, bookshelves, and more!

How does this impact your approach? What will you adapt and how?

Pivot prompt #4

Your galleries don't have obstacles, but are in a fully 3-dimensional space. Your guards can look in all directions, but cannot move. You may have stairwells and open ceilings to consider.

How does this impact your approach? What will you adapt and how?

Debrief

As a group, discuss the role cognitive flexibility, and in particular perspective taking, can play in learning:

  • How could it impact your engagement with course materials, including labs and homeworks?

  • How could it impact your engagement with course support, including office hours and class time?