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ABCs of How We Learn… Y is for Yes I Can

How many times have you heard a student claim “I’m not a math person.” Better yet, how many times have you heard a peer or colleuge say something to the same effect when you tell them you teach physics! It’s typically followed up with “you must be really smart” or “I’m not smart enough for ____”. Coaching our students through their low self-efficacy in physics is often one of the greatest initial challenges in our classrooms.

Albert Bandura writes, “Self-belief does not necessarily ensure success, but self-disbeleif assuredly spawns failure (1997). Bandura describes four factors that influence people’s self-efficacy: mastery experiences to build previous success, seeing others like you achieve similar goals, hearing that you can do this, and an awareness of the time and effort required to be successful. Of these four, three are also identified in the body of research around physics identities which are critical to persistence in physics classes. (We discussed some of this in the Belonging section). In addition to some of the activities listed there, engaging our students in the learning process is also important!

For 10 years the American Institute of Physics has put together a series of lesson plans that highlight a variety of underrepresented groups within the field (click here and scroll down) The lesson plans tie together physics content with the stories of various scientists that tell of their journey, struggles and success. Hearing these stuggles and seeing a variety of people represented are both critical features to supporting our students’ self-efficacy. It also provides a more-full picture of the history of our field. (Like my friend Elissa says, we are all teachers of history in our classrooms)

Another strategy that is helpful is when students can hear about success from a former student. For years I’ve had an alumni wall posted by my door to share their stories. A few years ago I was particularly concerned about the future of my AP Physics C enrollment. I specifically reached out to alumni who had taken AP Physics C and were in all walks of life to come and speak to my current students. It was one of the very few times I offered extra credit as a reward. On a personal level, I was not prepared for the joy that I experienced that day when a decade worth of former students showed up.

On a professional level I was so impressed by what happened next. I had students I hadn’t even considered might want to take AP Physics C eager to take the course! The panel was primarily focused on college and beyond, but I did let them know that course selection was on the horizon. After a 25 minute panel we broke out into small groups for engineering, healthcare and physics for students to have a more intimate conversation. This is an experience I’m particularly looking forward to bringing back next year at my new district. When I learned about the “Teach Yourself How to Learn” workshop from Aaron Titus, the power of student testimonials was also strongly iterated.

Lastly, I cannot undervalue the importance of each of us being that coach and support for our students. Finding any moment where our students are doing anything right and praising their efforts of working hard and finding a solution.

This is the last of the posts in this series about strategies for supporting student learning in physics as the final chapter in the original book is Z is for Zzzz The Importance of Sleep. Rhett Allain frequently shares that his primary reason for blogging is to remind himself of the things he’s done before. This project has been an opportunity for my own self-reflection on my practice. So often as educators we try and find things that work. At the same time we don’t always know the evidence behind it. When I attended institute day in April our EduInfluencer speaker said that his research showed educators could only name and describe three strategies. (Describe the actual science/evidence behind it). He said you won’t find this research anywhere because he doesn’t want to publish something that reflects back poorly on our profession. But this is something we need to be talking about in our professional circles! We need to have discussions grounded in evidence. We need to be ok with challenging each other when we are not working with the highest expectations of ourselves as professionals. We need to stop giving the public reason to believe we are replaceable by being able to knowledgeably talk about the art and craft of teaching as a rigorous field of science in the same way that we can talk about physics. If you’ve read 3, 5, 25 of this posts thanks for taking the ride with me this spring. I hope to connect with many of you at AAPT Pasadena!

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ABCs of How We Learn… W is for Worked Examples

Towards the begining of this series we talked about Deliberate Practice, which is practice that is effortful, focused, and with a goal of ironing out the parts that aren’t quite synced up yet. I’ve used mild, medium and spicy problems from building thinking classrooms to support this work as well as my most recent Skills Blitz. But what about those very initial stages of learning? At the begining, research shows that worked examples can be immensely helpful for student learning.

The goal of a worked example is to provide the learner with not only an example of the steps, but explainations of those steps and reasoning behind them. This is very much akin to what I ask students to produce on their lab theories.

The Stewart College Physics textbook does an excellent job of providing these worked examples for students:

Etkina likewise provides worked examples, and particularly exemplifies not only the rote mathematics, but the imperative visualizations and multiple representations for solving

Video tutorials can also be effective sources of worked examples. In fact, videos are often such good examples that its not uncommon for students to report that they will begin to learn a new skill by watching youtube videos.

Since learners do not need to worry about the massive cognitive load that comes with working a problem for the first time as a novice, they can focus on encoding the information which will, in turn, lead to better retention.

The challenge, of course, is to ensure that students are, indeed, actively encoding the information, rather than passively listening/reading which might lead to increase familiarity, but not increased competence. (Which necessitates the active elaborative interrogation of reading texts)

A few solutions include the following:

  • Interleave worked examples with an opportunity for students to solve a similar problem immediately thereafter. (In AP I particularly like doing this with the FRQs that happen to have two forms)
  • Provide similar problems that are partially solved and progressively remove the scaffolding (Rhett Allain does a phenominal job with this in order to teach computational physics (programming) in his Python Mechanics course)

Other challenges include students assuming the specific set of steps from the worked example works under all conditions, and also students thinking that if they encounter challenge something. must be wrong because the problems like the worked examples did not feel challenging. These last two concerns highlight why it is important that students are engaged in not only this very explicit style of teaching but also opportunities to have experiences, collect evidence and productively struggle with problem solving as well (and YES you can tell them after they struggle!).

One strategy that I like to utilize is to provide students with worked examples that they can either use as an example or solution, depending on their individual confidence/competence. In this case students receive a set of problems for completion during class. The solutions for the problems are posted around the classroom, one problem at a time. In my solutions, I ensure to write them as worked examples, so each line of work has a corresponding statement of the what and why. Some students will use these exclusively as solutions to the work they are practicing. Others will take a look at a solution or two before attempting the problem on their own or moving on.

As is true for any of our strategies, worked examples are just one piece of the arsenal! In a course where problem-solving is ultimately at the core, worked examples should come hand in hand with Question Driven Learning, Deliberate Practice and meaningful Feedback.

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Unlocking the Key to Ownership in Learning: S is for Self-Explanation

At a parenting workshop the keynote speaker used the metaphor of renting an apartment vs owning a house as an analogy to a child’s developing identity. That in the high school years, our children go from being “renters” of our family morals/values/beliefs to “owners”. This was a really powerful metaphor for me. As children (novices) we accept certain things to be true and mimic our parents because we assume that’s what we’re supposed to do. As we enter adolescence we begin to question everything, “is this what I believe to be true? Why do I believe it?” For students in my classroom, I would like to see the same shifts in their attitudes towards science. That what we learn is true not because I told them so, but because they have enough understanding and evidence to know what is true.

In order for this to happen, students must move from passive receivers of knowledge to active aquirers of it. This is where self-explaination comes in. Self-explanation is about making meaning of content and trying to undersand the what is being presented by the text/author/video/diagram. In other words, self-explanation is about metagognition.

In the Elaboration post we discussed the strategy of elaborative interrogation of a text. Essentially, we ask students to read their textbook while having a conversation with themselves: does this make sense? Why is this true? How does this connect to the previous example or what we did in class? By actively asking and looking for the answers to these questions as we read, we are engaging with the text in a far more active manner than simply reading it.

The slide below summarizes the main points of interrogation

Another name for active reading is the SQ3R Reading method which reiterates most of the bullets in the slide above.

Regardless of what you call the method, the goal is active reading of the text.

At some point well before my own entrance into education, many high school educators decided to forego the traditional textbook. I imagine there are a great many reasons for this, however after a decade of teaching the same way I was taught, I now firmly believe that we are doing our students a disservice by not using and instructing them on how to actively engage with a textbook.

I believe this even more strongly for our content as science educators where the content in the book itself requires a different kind of interrogation than it might if it were a history text. In a history text we are seeking for connections between persons and events, but in a science text we are looking to make connections between ideas, concepts, representations and mathematics. I distinctively remember as a student skipping the example problems because I assumed “we covered this in class” or not knowing how to use the example problem to my advantage.

What makes for a good self-explainer? Clearly a good self-explainer is a really smart student, and that isn’t going to be effective for everyone.

This actually isn’t true. As it turns out, a good self-explainer will find their base comprehension being comparable to a peer with poor self-explaining skills however the good self-explainer is nine-times more effective at identifying their comprehension failures, which allows them to find a path to act on that failure. This is what we want from our students!

I’m thinking a lot this year about how to make these processes more explicit for students and how to get them to better engage in these processes. One piece to this puzzle, I believe, is the incorporation of the reflective component into each aspect of learning. After every lesson or activity students need to be able to answer the question “What did you learn today? How did you learn it?”

I’m working on a template for this, the rough draft for observational experiments is below:

When I’ve had students struggling to perform on exams, I would share with them that one of my personal strategies was to make “teacher notes”. Essentially I would create two-column notes where the left hand side had the steps to the problem and the right hand side was my verbal explanation of the steps. Students who have taken me up on this have found it to be immensely help. This idea is also the foundation of why I require detailed lab theories written prior to students engaging with a lab.

The most critical outcome of self-explaination is the construction of the mental models. These mental models allow people people can draw inferences about new, relevant problems and to learn subsequent, related information more effectively. If our goal as educators is move students from passive receivers of knowledge to active producers of knowledge, then supporting student ownership and independent mental-model building is critical.

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ABCs of How We Learn… M is for Making

Different types of oscillators featured as scientist peg people (and one physics teacher) for FermiLab’s Family Open House, Feb 2018

Remember when we were all stuck in our houses in the spring in 2020? With few places to go and a lot of time at home all of a sudden everyone was making their own bread and even taking a crack at artisan soughdough.

When we have a chance to truly create something, we find joy and satisfaction in seeing the fruit of our labor. We can then invite others into our joy by sharing what we’ve created, and in the process we find new challenges to tackle and overcome.

We tend to most often connect making in an education setting to informal educational settings: camps, museum programs, clubs etc. More recently we’ve seen the explosion of maker space centers not only at institutions of learning, but also in libraries and museums.

The roll-out of NGSS included Science and Engineering Practices, all of which clearly have their place in “making”

Why is Making Important for the Classroom?

Practical Knowledge – Making, especially when tied to a relevant, real problem, gives students the chance to see the application of their content to their real life. It also has a great side effect of teaching students some knowledge and skills that they might find useful later. The electric house project gets students stripping wires and wiring them together. I personally will never forget the “hosehold wiring” unit in my own AP class where our final project was to build a lamp. Years later when the plug on my vaccuum broke, I felt fully confident in myself in buying what I needed to replace the plug.

Interest & Identity – We know from the research that if a student can see themselves as a science person, they are more likely to persevere in science and choose a STEM major. Having the opportunity to create something that works and is grounded in scientific principals which is shared with the community provides ample oportunity to find strengths in a variety of scientific competencies and receive that recognition from others which is a critical compoenent to identity formation

Dispositions Towards Failure – We know that failure is at the foundation of growth and success, but too often in school many of our brightest students find themselves fleeing failure at all costs. This can result in a fear to take risks and speak up, which ultimately stunts their own growth. In order to solve a problem and design a solution students will inevitably go through a process in which failure is inevitable. When students can see that this is part of the process, even in a science classroom, their concept on what failure means can shift in that academic setting.

What Can Making Look Like?

In much of our classroom settings making often looks like projects, and these projects (as well as our labs) allow students to engage in skill-building beyond just the content.

There are some amazing teachers out there who are incredible at problem-based learning and projects, my personal toolbox is somewhat limited. I love my AP Physics “Physics Of” projects for the end of the year as well as the AP Physics C Mastery projects to provide APPC students who previously took APP1 the chance to demonstrate their competence from the previous year. There’s also the classic egg drop activity, mousetrap cars and most recently, I’ve assigned students electric houses. Beyond the Egg Drop is a book that was recommended to me a few years ago, available from NSTA. The projects in the book have been designed in such a way to align with the engineering practices.

I believe that we start with some of the core ideas: providing student agency, opportunities for creativity, and a backdrop grounded in supporting student planning, execution, evaluation and presentation. The key is to find opportunities to let this happen.

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ABCs of How We Learn: J is for Just in Time Telling – Why Active Learning FIRST is BEST

Memories are stronger when we are able to connect a new experience to a prior one. The concept of “just in time telling” leverages this idea. Rather than dumping a bunch of new information on students, we recognize that students will be able to do more with the new information when we tell them the answer at just the right time.

Curricula in which students are engaged in activities to “discover for themselves” often gets a bad rap from the science of learning community. However, when experiences are paired with the just-in-time telling afterwards, the results are more robust than either method alone. In fact, if we are only lecturing our students are greatly limited by the amount of sense they can make due to their lack of background knowledge. This is often touted as the reason why constructivist learning is a problem, however when the activities are carefully selected and followed by just in time telling, we have provided students the background knowledge in an experience that permits us to then provide a lecture through which they can then make more meaning!

You’ve likely done this before in some context for students. Demos frequently take this experiential role. But what if we made experience before telling the cornerstone of our work? What if we viewed experiences not just as “fun demos” but as critical components to the learning cycle?

Here again is where I am going to sing the praises of the Investigative Science Learning Environment (ISLE) curriculum because it does exactly this! (In ISLE it’s called “Time for Telling”)

During the learning cycle for uniform circular motion students engage in a series of experiments. The first are observational experiments: get a bowling ball moving in a circle on the floor, swing a force sensor in a vertical circle and observe the force readings for the tension in the string, make a constant velocity buggy move in a circle. When I do this with students the next step is to ask them to represent and reason based on their observations. In this case, I ask them to sketch the force diagrams and look for patterns.

One of the key features in this sequence of activities is that the experiences chosen are very carefully constructed to be precise and matched to the intended learning outcomes. At the end of this series of experiments we do, indeed just tell students that in order to move in a circle we require an unbalanced force AND that force is directed towards the center of the circle. I provide my students with the following page for their notes (modeled after notes from Building Thinking Classrooms)

Students are indeed told the correct physics, but since it is after engaging in experiences, the memories should be more robust. This work is then also paired with the elaborative interrogation of the textbook that evening to prepare for the following day.

Today I challenge you to think of one topic where you have started the class by “just telling them”. What is an experiment that students could engage with prior to telling them?

A word of caution: As you take on this exercise I want to strongly discourage you from falling into the “trick your students” trap. A classic example of this is setting up the projectile demo where one ball drops straight to the floor while the other is launched horizontally. Many teachers set this demo up at the beginning of projectiles, ask students to make a prediction, they pretty much all guess wrong, we run the demo and say “aha!”. If we want to create a classroom of belonging, its important to take advantage of any opportunity to provide our students with recognition. In order to create an experience that will enrich our student minds, build their knowledge and support their self-perception, the experiences must be carefully chosen and scaffolded so that the answer we need is the answer we are going to obtain from our students. This typically requires students to engage in data collection in some way, even if that data collection is visual (such as dropping beanbags behind a rolling bowling ball, or observing the direction of an applied force).

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ABCs of How We Learn: I is for Interleaving + An AP Practicum for Review

The skeleton for this blog series has been the book The ABCs of How We Learn by Daniel Schwartz, Jessica Tsang and Kristen Blair at Stanford. As I am doing my prep work for my blog series where I include and adapt the ideas within my physics classroom there are a few chapters that don’t quite have a 1:1 connection. In the original book, the authors write chapter I for Imaginative Play. The research is a bit on the weaker side (causation or correlation?) and is focused on the youngest students and their social dynamics. Although we could absoultely discuss the ideas of imagination and creativity in the physics classroom (consider the utilization of movies like Interstellar, or the discussions that launch units in OpenSci ed, for example) I’m going to make the decision to stick to the strategies that I feel most confident discussion. So here I diverge from the text and we will discuss Interleaving.

Interleaving simply means that students are engaging in activities that require them to problem-solve out of the order in which they were taught and/or by jumping around in terms of ideas/topics within a practice set. By requiring students to retrieve from a variety of topics/skills, students create even stronger neural networks in their brain which leads to stronger retention and comprehension.

For example, perhaps you have a homework set that looks like this: 4 balanced force questions, 4 unbalanced force questions where the object is speeding up and 4 unbalaned force questions where the object is slowing down. Interleaved practice would jumble these questions up.

Another example of interleaving is that perhaps students are currently learning about momentum but on a particular problem they are asked to calculate force from a force diagam, then determine the impulse and solve for the change in kinetic energy. In this case students are interleaving entire topics.

The value of interleaving is at its best when implementing similar problems (in terms of deep structure, which may look like different topics on the surface). This allows students to begin to focus on the problem solving structure, rather than the algorithm, and they can begin to notice subtle differences.

AP problems are often a great example of interleaving. Very often students need to pull from multiple units in order to complete the problem. Recently I provided students with this momentum practicum challenge as part of their AP review. The physical task was modeled after an old FRQ, but students were not initially aware of this fact. Students rolled a happy and sad ball down a hotwheel track where the ball collides with a block at the end of the track which falls to the floor.

Students are asked to do the following:

  1. Make a claim: Which ball will result in the wooden block traveling farthest (this should be physics-ly correct)
  2. Gather some evidence and quantify as much as possible. The more things you can quantify (momentum, energy, force, velocity etc) the more points you get! 
  3. Reasoning/Discussion: Does your evidence support your claim? Explain in detail why or why not. For every quantity you measured or calculated you should be able to explain how that piece of evidence supports or refutes your claim! It is possible that you evidence does not support your claim. If it doesn’t examine your videos carefully and look for anything that happened that we were not anticipating.

To “level up the spiciness” students are asked to find a different way to find the ratio of distances. I provide students a hint to drop the balls vertically. The goal here is to investigate with energy methods.

The last level includes the following prompt: The balls rolled down the track and you should have determined the velocity of the ball at the bottom. Assuming the balls are solid spheres (moment of inertia 2/5MR2) determine how much energy was lost on the track from the top of the track to the bottom. 

In this final challenge students are using energy and rotation.

For the “glass of milk” I have students work through the original FRQ and link it up with the practicum they just completed.

This example takes advantage of a number of previously mentioned strategies. In addition to the interleaving we have engaged students in a hands on exercise that ultimately leads to working through a problem with feedback.

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ABCs of How We Learn: E is for Elaboration

The Information Processing Model for memory is an incredibly important foundation for establishing much of the what and how around teaching strategies.

We begin with the sensory input… the words on this page, the hum of my air conditioning, the sound of my typing, the sound of my husband reading to my son, the motorcycle that just passed by. The edge of my sleeve is a bit damp from washing my face a few minutes ago which feels a bit tight and needs moisturizer and my foot itches. All of these are inputs into my sensory memory, and my brain makes decisions about what I will attend to. I will typically ignore most of the sensations as I’m writing in order to focus on the task at hand. The words that I’m writing, and where I plan do go with this post are living in my short term memory. Meanwhile, I am simulaneously retrieving knowledge from my long term memory about this topic, while also reviewing certain details and aspects so I can correctly quote them here. Writing this post requires all parts of my memory: working, long term, retrieval and rehearsal.

The same is true when students are engaged in the learning process, and it is something we must be particularly attuned to.

When we learn something new and we have a way to connect it to prior knowledge, we are engaging in elaboration which provides us with some additional pathways to access when the time comes to retrieve the information.

I recall when I was taking AP psychology and the teacher warned us that the biopsych unit was often difficult for students due to the amount of vocabulary required. I can also still recall the various ways in which I attempted to elaborate in order to remember the terms we were given. For example, I can still retrieve that the cerebellum is responsible for fine motor movements and balance. My elaboration? It’s the cere-BELLE-um and Belle was a beautiful and graceful dancer.

Making connections like this is one way we can elaborate. For example, I will tell my students they can remember that a CONcave is also known as a CONverging mirror. Many of us are familiar with remembering that velocity is a vector while speed is a scalar. Velocity vs speed is often the first place we make the distinction between vector and scalar quantities and they convienently start with the same letters.

But elaboration does not need to be confined to definitions. We use elaboration in science classrooms quite often if we are asking our students how, why and making connections! This is referred to as elaborative interrogation. Elaborative interrogation is about asking questions to make those connections between ideas.

One of the features of the Investigative Science Learning Environment (ISLE) I found truly appealing is the use of the textbook. Unlike a traditional textbook, Etkina’s Exploring and Applying Physics engages readers with the experiments which were hopefully conducted in class and the text is meant to elaborate on those experiences. Additionally, students are expected to engage in an interrogation of the text, which then becomes elaborative interrogation. Rather than passively reading, students are taught to read the text by asking questions about the claims, “why is this true” seeing if the reasoning makes sense, and actively connecting the material to what was presented in class. It is also teaching students to behave like scientists because this is the way in which a scientist would read an article or paper while making a discerning judgement about the content they are reading.

I recently heard an eduinfluencer make the claim that teachers can only name and describe 3 evidence based strategies they use in their classroom. Challenge accepted. Each day I’m working through the book The ABCs of How We Learn and pairing a strategy with physics content/activities in my classroom.

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ABCs of How We Learn: C is for Contrasting Cases

Contrasting cases is about noticing the difference between two or more examples that seem the same at a glance.

That core learning mechanic should absolutely scream physics problems to you!

Acceleration is a FANTASTIC example of the benefit of contrasting cases. Students frequently come to us believing the following to be true:

  • “Acceleration” describes speeding up only
  • “Positive acceleration” describes speeding up while “negative acceleration” describes slowing down
  • “If an object’s velocity is zero, its acceleration must be zero because it has stopped”

How do we help unlodge these incomplete conceptions in our physics students? If we could “just tell them” then it wouldn’t be a problem. However, these ideas are engrained deeply in students, and they need another way to approach the idea.

In the Investigative Science Learning Curriculum students conduct several observational experiments using a bowling ball. We drop a mark (bean bag for example) at equal time intervals as the ball rolls. Students copy the resulting pattern and then construct motion maps. This is how we begin to make sense of velocity change, acceleration and force.

The contrasting cases, in this instance, are the diagrams themselves.

Through a simple series of activities, we can build the ideas that constant velocity is not the absence of force, but the absence of an unbalanced force. Accelerations happen due to unbalanced forces and the direction of the acceleration is the direction of the unbalanced force.

We do a similar task shortly thereafter with an object that is accelerated vertically. When I review the material, I specifically grab the set of activities shown below. In the top two cases, the bob is experiencing upward motion. However, we see the change in velocity is different due to the difference in accelerations.

Next, I have students compare the top and bottom experiement (4 and 6). In both of these instances the delta v (acceleration) is directed upwards, however these both describe two very different motions, up and speeding up, and down while slowing down).

Again, while I could certainly just tell them, there is a lot more power to students constructing the diagrams based on their observations and then we can look for patterns and we can look at the fine details in contrasting cases. We can then use these details in the contrasting cases to more deeply understand the concept. We are also doing something incredibly critical for our students in the science classroom. We are teaching them to argue with evidence. That their answers and assumptions about how the world works need to be grounded in evidence over feeling and intuition. I would argue that fact is far more important than any piece of content they remember 10 years from now.

I recently heard an eduinfluencer make the claim that teachers can only name and describe 3 evidence based strategies they use in their classroom. Challenge accepted. Each day I’m working through the book The ABCs of How We Learn and pairing a strategy with physics content/activities in my classroom.

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ABCs of How We Learn: B is for Belonging

Alumni Speak with current junior students, Fall 2023

In the physics world there is a sizable body of research on belonging in physics, and another related body on how that belonging relates to success. Women continue to be underrepresented in physics and so this has been of particular interest to me. As my career progressed I began to understand more deeply the true weight of belonging in physics as it relates to so many different positionalities.

One of the most critical contributors to persistence in STEM is a STEM identity, and that identity is a collection of factors and includes belonging. Threats to belonging include stereotype threat and imposter syndrome, but recognition is one of the strongest mitigating factors. In short, when I think of belonging, I think of two complementary parts: creating a space where students can see themselves as scientists by seeing others like them as scientists, and secondly opportunities for recognition from both myself and peers.

I think most teachers might lump this into “building relationships” with students, but creating a classroom of belonging requires true effort and intentionality.

This is a difficult post to write succinctly, as it could easily be several books worth of content and materials, so I’ll share some of the activities that link directly to belonging.

Early on in the school year I implement STEPUPs Physics Careers Lesson in which students take a short survey and then are “matched” with people who have a degree in physics but do a whole variety of jobs. The critical component of this lesson is where students build their own bio imagining they completed a physics degree prior to their job of choice. I’ve also taught lessons from the Underrepresentation Curriculum Project so we can speak directly to the problems and stereotypes in physics.

During COVID I got the idea of “identity encounters” where students watched a video interview of a contemporary physicist from an underrepresented group talk about their work, success and challenges.

I really like Kelly OShea’s “Being Smart in a Physics Class“. This year, not only did I have students shout each other out, but I read these aloud for students in class.

Using plenty of activities with low floor, high ceiling and multiple entry points are also a way to ensure the content-specific activities are designed in such a way that anyone can belong. A good example of these activities include cart sorts, but along that note I also firmly believe that physics curriculum such as the Modeling curriculum and the Investigative Science Learning Environment (ISLE) are critical contributors to belonging as well. When students are simply asked to find patterns based on carefully crafted observational experiments, we provide students opportunities to see for themselves that they are capable as scientists.

While our content is important to us, we miss the opportunity for the deepest and longest lasting gains in our students if we neglect our students’ sense of belonging.

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Three Lesson Plans for Student Growth

I returned from doing work at the district office to a disaster.

My students were supposed to take their “check-in” (that’s what I call quizzes because their function is to literally check in on student learning) and at first glance I was walking into a mess.

Students should of had enough time to finish the two problems, however the vast majority of my class had half of the assessment blank.

I started looking at the students who finished.

Only three.

All three had done great!

But I have 30 students in this class. Not good.

At first, I will admit I was really upset for a number of reasons.

So I started planning what we were going to do. When I looked more closely at the assessment I noticed that about two thirds of the class was actually doing pretty ok, they just needed more time. Regardless of the fact that I felt strongly that they had enough time, I couldn’t argue the evidence that what was complete was good.

The students who had not done anything beyond opening the assessment were the same ones who have been disengaging with the material and straight up refusing to attempt. As much as I was frustrated that this was on the student (because, after all, my other class is flying and the students who are doing things every day are succeeding). I took a deep breath and regrouped.

What if I made it tactile?

We’ve been working on multiple representations for momentum. So I made up little squares to represent units of momentum. I made a set of red and blue (for each car) and added labels for 1 kg across the bottom and 1 m/s upward.

Sample of cards. This could represent a 2kg and a 1kg object stuck together post-collision moving at 2 m/s

Within table groups I assigned group roles that I borrowed from Marta Stoeckel (check out her article with Kelly OShea!) and then also added a task, one representation needed to be done by each student in the group on the large white board and then they were all responsible for doing it on their own paper.

Step by step we worked through the original problem in small groups. Since I had reduced my “class size” to eight, I was able to give the students with the most need all the attention they needed while the rest of my class completed their assigned tasks.

One of the cool features, aside from students commenting that they liked placing the blocks, was that it allowed us to discuss the limitations of using discrete blocks. In the assessment problem the final velocity was 3.6 m/s, so while I had some students show 22 blocks, demonstrating they understood that the total momentum was constant, they had uneven heights for an inelastic collision. It’s better, then, to just label height and width and go from there.

By the end of the hour everyone was happy.

My three students who did great were given this handout. They were asked to come to consensus and then reflect on their gaps/needs. I checked in with them at the end and they were able to communicate confidence and what they needed.

The large group felt satisfied that they had the chance to go back into their assessment. When I went back in to review the work I found that their performance matched my previous hour, even though they take more time.

The small groups were kind of amazing. Most of these students had been really checked out, but this small shift got pretty much everyone fully on board and verbalizing that they understood what was happening. In order to make up for the assessment, a second problem was on the backside of the worksheet for them to do independent of my help.

At the end of the day I reflected on how the only reason I was able to do this on the fly is due to the fact that I’ve been teaching for a long time. This was a new-to-me activity (although I’ve set up differentiated groups like this before) but at the same time this was effectly three different lesson plans in the same space. Elementary teachers might laugh at my overwhelm, but the reality is that teachers (all of us) are simply not given the kind of time required to plan high quality experiences for our students. This also shows how important data is in our work. Data can allow us to be a bit more objective in our judgements, moving from “they didn’t do anything” to “what else could I try to fill their needs?”

This job is challenging, but it wouldn’t be fun if it wasn’t!