Showing posts with label cognitive. Show all posts
Showing posts with label cognitive. Show all posts

Monday, February 7, 2022

How Strategic Teaching with Cognition (STC) shows why you should teach concepts first and vocabulary last.

Novice vs. Expert learners

When students are tasked with solving novel problems they tend to miss deeper structures that experts notice while over-emphasizing surface details. This has led some within the Abstract Reductive Teaching with Cognition (ARTC) philosophy to present worked examples of algorithms for students to replicate. Students repeat these problems with minimal thinking in an effort to overlearn. These jumps are justified using cognitive load theory which says that our short-term memories can be overwhelmed by too many things at once. 


The issues with the above approach will be deconstructed in a future post, but I want to start by pointing out how this has been accompanied by a major flaw in teaching. The sequence of vocabulary is critical in how students learn science. Let’s start by taking some chemistry definitions. These are the first definitions that came up on Google for these chemistry terms. Note how many abstract terms, tier II vocabulary terms, and tier 3 terms reside in those three definitions.


  1. Resonance - resonance, also called mesomerism, is a way of describing bonding in certain molecules or ions by the combination of several contributing structures (or forms, also variously known as resonance structures or canonical structures) into a resonance hybrid (or hybrid structure) in valence bond theory.

  2. Enthalpy - a thermodynamic quantity equivalent to the total heat content of a system. It is equal to the internal energy of the system plus the product of pressure and volume.

  3. Molecule - a group of atoms bonded together, representing the smallest fundamental unit of a chemical compound that can take part in a chemical reaction.


Think of all of the various incomplete models that a student may bring for a single term. Let’s define a model to be an underlying abstract concept that ties together multiple representations of said concept. When an expert proposes a defintion, they have a clear purpose behind how they are defining each term within a definition. A novice learner has limited ability to assign the appropriate representation. Within resonance, how many different interpretations will a student have for bonding. Will they link the relevance of “molecules or ions” back to the bonding term or will they substitute another meaning? Will they recognize that ion is referring to polyatomic ions rather than monatomic ions? The definition is useless to a novice student. At best what they can do is they can form an abstract association between the phrase and the term. At worst is they can link an inappropriate representation and further a misconception. 


Concept 1st, vocab last

Fortunately there is an alternative called concept first, vocab last. In this instructional method, the students are provided with a phenomenon. Said phenomenon may include data, discrepant events, and qualitative observables. Immediately the student has concrete information providing a better connection to prior knowledge in LTM. This increases the odds of appropriate chunking when the student develops a mental model of the phenomenon. The teacher can then guide the students into a task where they develop a model. For a chemistry experiment, representations including graphs, data tables, equations/slope, particle models, and macroscopic observations are commonly used. When a definition is constructed at the end of this lesson the student has concrete evidence to set their basis for the terms within the definition. They have a shared common experience to draw from. And instead of being an abstract phrase associated with an abstract term, the vocabulary term serves as a retrieval cue for the concept or model that was demonstrated by the phenomenon. At this point the model can be extended to a new phenomenon. This allows the student to test their understanding of the concept by determining if the model is useful, applicable, or requires revision. 


During this process the teacher can limit mathematical applications, particle models, vocabulary, or conceptual components at any given time. This focus means that cognitive overload is not at risk. Note how this process pulls the students’ prior knowledge into focus by utilizing that knowledge to construct meaning of the phenomenon, the underlying concept, and finally the vocabulary term as a means of communication about the concept. This approach to learning opens up possibilities for the teacher to vary the emotional engagement with the learning. A student might engage due to competitiveness, curiosity, obedience, spite, etc. But by varying the phenomenon the teacher can engage with more personal connection to students’ lives. 


Sample progression using "density" model.

How would a student define density after each point in the sequence?


Figure 1: Whiteboard of student measurements of mass vs. volume of a series of blocks

made of a single material. 


Figure 2: Students deploy density model to compare mass and volume relationships at

the particle level


Figure 3: Review poster where student connects representations of “density”


Figure 4: Discrepant event testing the new model of density: Will it float?


Video of wooden blocks with and without holes:



Sunday, September 15, 2019

Student Teaching Reflections

Lessons from student teaching
Classroom management
1. New teachers struggle to be direct. Learn what you want, then tell students what to do. Practice saying things like “I need you to put your phone away and pay attention” because it can feel unusual the first times you are in a role of authority. 
2. Avoid negotiating, compromising and undermining yourself when instructing students. Never say things like “you’ll need to know this for the test” or “if you pay attention for two more minutes maybe we can skip the next part.” 
3. Be wary of small things students do to test you. If you let them get away with minor things they will devolve into bigger things. It’s better for everyone to be clear about expectations at the start with the minor infractions. It is easier to correct something minor for you and the student.
4. Provide feedback when whiteboards are what you want and what you don’t want. We had issues with clarity and students writing instead of drawing. 
5. Students being noisy can wear on you mentally. It helps to pause, think about exactly what you want them to do, why they aren’t doing that and be persistent in communicating. 
6. There are 3 ways to engage someone’s attention. What your showing them can be engaging (content), you can be engaging (teacher) or they can talk (student). Work in all three of those.
7. When you are new, content is a struggle. So rely on your personality sometimes to help students focus. 
8. If students aren’t focused have them write something.
9. Move students’ seats around every unit so they do not stagnate into cliques. 
10. Measuring student infractions can be helpful for giving specific feedback. This should not be used to shame, just for information and to avoid bias.
11. Avoid getting in a trap where you always yell at the whole class. You can tell the whole class once. After that you should be talking to the individuals who are making infractions.
12. Some teachers have the expectation that all 180 students will behave and learn perfectly. Then they get upset when things don’t go according to plan. This is unrealistic and you should be mentally ready for deviations. Expect them. 

Grading
1. When students anticipate quick feedback, they work harder and produce better quality work.
2. Don’t make comments on student work, it’s ineffective use of your time and instead share feedback with all of your students 
3. Grading is exhausting. I try and set up my grading into chunks so I get some positive feedback when I finish a chunk. 
4. After grading a test is the best time to reflect on your teaching for the unit
5. Learn how to stay ahead of grading so you minimize questions from students and parents. Up front communication and timeliness will save you time. 

Teaching philosophy
1. Students are often put into diverse settings in a classroom with no instruction or guidance from adults. You are responsible for teaching them about how their perceptions can undermine their interactions with others. 
2. It is hard to teach. Often when we seek the easy way in teaching there is a transactional cost. If you use grades to keep students quiet, they will be quiet but you undermine their learning and your grading system’s integrity. It’s better to teach them to be quiet, but it’s also more work to do what’s right.
3. You can’t always do everything correctly in teaching. You should work towards it, but know that it’s ok to take some shortcuts.
4. When teaching goes well it’s awesome. Having students engaged and learning is a great feeling. Don’t ever forget how challenging and awesome teaching is.
5. It is totally acceptable to be kind to students even when they frustrate you. 
6. Try something new a minimum of four times a year. If it doesn’t work well, be glad you know.
7. You should be critical of your teaching, but you shouldn’t take it personally. As a new teacher you want to improve, but not in a toxic manner where you feel bad about yourself. The teachers you surround yourself with can influence this quite a bit either way.
8. Defeatist language is bad. Don’t let students say things like “I don’t know anything” or when you ask which problem was hard they say “all of them.” Correct them when they do this or it harms the whole class.
9. Learn to identify what the problem is and what the solution is. If students aren’t focused, your good teaching doesn’t matter. It’s always better to stop and redirect. 


Chemistry content
Unit 1 Measurement, mass and volume
1. What is the physical interpretation of the slope? What would a “for every” statement be for it? What are the units for the slope?
2. The slope of the y=mx+b for mass vs. volume can be used as a model to predict masses and volumes. The slope gives us some information about the particle level difference between substances with different densities.
3. Measurements are not numbers, they are ranges. The rules for rounding answers that stem from measurements are specific to maintain the appropriate level of uncertainty. It is helpful to show students examples with ranges (IE 6x4 = 20 but 6.0x4.0 = 24). The analogy of having about $5000 and finding a quarter, now how much do you have?
4. Students have bad ideas about particle spacing for solids, liquids and gases from illustrations in middle school. It takes a lot of effort to break these down in spite of clear cut evidence. 
Unit 2 Gas Pressure
5. There are direct/inverse relationships and there are directly/inversely proportional relationships. The distinction matters a lot. 
6. Sometimes gas particles collide more frequently, sometimes they collide more frequently and with larger collisions
7. All particles move all of the time. Evidence for particles in solids moving can be how solid objects feel cold and hot based on how fast the particles vibrate against your skin particles. 
8. Splitting up gas pressure demos into time segments greatly enhances your ability to dig into what’s happening. Look in particular for small amounts of water leaking or subtle volume changes 
9. Students get confused when you change three variables at once (PVT) because they overthink things. Keep them focused on two changes at a time, and towards the unknown variable. 
10. For the mason jar demo the small amount of water leaking opens up the discussion to higher levels
11. For the balloon in the bell jar demo ask how the pressure in the balloon changes 
12. For the can crush or balloon in flask, ask whether the pressure in the open flask while boiling is higher, equal or lower than the air pressure in the room.
13. For some demos, the change in temperature (kelvins) is insufficient to explain the magnitude of change (can crush, balloon in flask) n and V might also be changing
Unit 3 thermo
1. Heat is a term that meaning has become too diffuse. Use thermal energy instead to get better understanding. 
2. For specific heat capacity, students will mix up Q with C so its important to use their units to differentiate what they are. 
3. Heating curves are a struggle and students need more than just a curve with water. It helps to talk about slope and length of phase changes and how they can change.
4. Use blocks of various masses and temperature changes to test whether students understand specific heat capacity.
Unit 4 elements, compounds, mixtures
1. Volumes of gases can give information about what a compound might be, what can be done with solids?
2. Sometimes when we don’t know something, we can just assume something and see if it works
3. If a rock has the same % of each element no matter the size or source, that indicates whether it is a compound or a mixture
4. Separating mixtures can be done via distillation (boiling points/stickiness of particles), filter paper (particle size vs. filter hole size) or chromatography (stickness relative to the stationary phase).
Unit 5 moles
1. When teaching moles, the molar mass can be represented as a for every statement, a conversion factor, a means to compare amounts (if 18.02 g is 1 mol, 84 g must be more than 1 mole), it can be represented using pictures and it can be used as a relative mass.
2. Students that don’t know how to convert actually don’t understand what the molar mass means. 
3. When students struggle with math, it helps to add more units and labels in. It’s harder initially but helps them move past basic manipulations into what they are actually doing and using. 


Cognitive Science
1. The amygdala can have a big impact on learning. If students are angry or in fight or flight mode the ability to learn plummets. If students are happy they have stronger connections to what they are learning. This is why we easily remember movie quotes and songs. 
2. Asking students what they learned at the start of class gives them a chance to reflect and will help them do better in their other classes. If you do this consistently, they will work harder to remember other lessons. 
3. Students can’t learn when they are frustrated. But you also should not interfere with their learning to reduce frustration.
4. Don’t start worksheet problems with your hardest problems. Start with the easiest ones and let them figure things out without samples from you.
5. People believe things if you offer a reason, even if the reason is nonsense. They just hear that there is a reason (copy machine experiment)
6. Feedback should be more work for the student than for the teacher.

Discussions
1. Discussions are enhanced when students work towards finding out what they know instead of seeking an answer. Seeking an answer leads to limited participation, frustration and racist/sexist beliefs. Students that can practice starting with what they know learn more effectively with less frustration. 
2. It is imperative that students learn to put effort into their whiteboards during unit 1. They should use color coding, they should measure carefully, they should follow all instructions, they should think about what they’re doing, their particle diagrams should be clear what the intent is.
3. Whenever possible, call on students instead of taking volunteers. Volunteers show that you care about getting the right answer from someone. Cold calling shows that you want to know what a student is thinking. Use dice and a seating chart to find a random student.
4. You’re always talking to the whole group even when you’re talking to a single student when you’re in a circle. Project and be loud.
5. Discussions are very hard to lead when you’re new to teaching. You can get better by planning questions as you observe what students put on their boards. Find errors, unique representations, mathematical variations and start writing down questions to ask.
6. Learn to pause so students talk more. 
7. Phrase your questions so students can opine rather than be led. It’s better to ask, how small is 0.001 cm and see what students come up with than to ask “Do you feel like 0.001 is one of the smallest things you know of?” 
8. Talk about things you’re passionate about. Bring up past experiences and memories. They help increase learning retention and forming neural pathways.
9. Slow students down when they talk about similar topics. Mass, volume and density are all different but related. This means students will often substitute one when they mean another. 
10. During discussions you want to push back against student ideas to force them to think more, but you want to push back against the idea not the student. To do this you want to speak to the entire class and not interact too directly with a single student.
11. Don’t do thinking for students, but it’s good to frame what we’re discussing to focus the attention and reduce the cognitive load.

Miscellaneous
1. At Open House talk about what you’re passionate about. Don’t just give a presentation on mundane details but talk about some of your favorite things. 
2. Strategies to learn students’ names. Write down pronunciations on a seating chart so you don’t have to ask repeatedly or feel uncertain later. Put in a grade for students. Use retrieval practice when students are working. Use their names when you talk to them. 
3. Don’t answer student questions during the test. They can figure out the answer from the information on the test. By answering you are either being unfair or you are cementing in a wrong thought. Better to always shrug and explain ahead of time why you won’t answer.
4. It’s good to have a list of things you’d like to talk with students about that take 5-10 minutes for when you’re ahead in one hour (cognitive science, anti-racism, specific scenarios in school)
5. When you leave sub instructions that involve whiteboards, have students sent a photo to your email or twitter account so you can see how they’re doing.
6. Prepare for interviews by making a list of things you want to say (student situations, student work, specific lessons, books, philosophies)
7. During conferences, be wary of shouting praises for parents who might be having a rough conference nearby you.
8. During conferences, lots of parents just want to know that their child is happy during class and what they are like. 
9. Don’t criticize yourself to put yourself down. Only do criticisms that are productive.

Questions to ask
QTA 1. What would a measurement that was on a 10.00 cm line be written as?
QTA 2. A block of wood floats in water, what will the same block that has multiple holes drilled out do?
QTA 3. How do measurements or significant figures differ from numbers in math class?
QTA 4. #2 and #3 on worksheet 3, does a larger density imply more particles in the same space, bigger particles (or both)?
QTA 5. Can you show me a whiteboard that highlights what you’re explaining. This came in handy for when students explanations were unclear or confusing.
QTA 6. what makes Fierce cologne particles move the way that they do?
QTA 7. Does the pressure increase from more collisions, bigger collisions or both? 
QTA 8. What makes the particles move? If particles collide, what does that imply about their motion?
QTA 9.  Which is hotter, a teacup of boiling water or a bucket of warm water?
QTA 10. What is a compound and how is a mixture different?
QTA 11. Can water ever not be H2O? Could it be H3O? 
QTA 12. Do we have more or less than 1 mole?
QTA 13. What does the number 22.99 mean for Na?
QTA 14. What does the number 18.02 mean for H2O?
QTA 15. If there is 1 mole of CaCO3, how many total atoms and O atoms are there?

Weaknesses of Milam (find someone else to learn these from)
Weakness 1. I am not good at organizing the physical layout of the room. I don’t have a space for everything and I don’t throw stuff away frequently enough. 
Weakness 2. I am off topic too frequently and this detracts from my lesson timing.
Weakness 3. I’m arrogant. It’s getting better, but it’s still not good. 

Strengths of Milam
1. I see the good in all kids. I don’t let their mistakes define my perception of them.
2. I can anticipate what students don’t understand and ask good questions that allow them to do the same.
3. I reflect constantly about everything.
4. I’m creative and have fun at work.

Thursday, July 25, 2019

ChemEd 2019

I just returned from ChemEd 2019 and I could not be happier. I had a four hour drive to think about the conference and about teaching. The complexity involved in teaching is overwhelming at times. But as I improve in teaching the complexity becomes such a joy and conferences are a huge source of that emotion. Being around some of the best chemistry teachers in the world is so intellectually stimulating to me.
Teaching is complicated. You have to understand some information, deliver that information to a novice learner and work towards their brain changing in a meaningful manner. Their brains will filter much of that information and that which does arrive successfully runs the risk of becoming forgotten. Racism, sexism and other power structures can affect both the delivery and reception of that information. Emotion and the amygdala can also interfere. Between the cognitive science and the sociology there lies chemistry. Chemistry is a beautiful subject to teach, but it is also incredibly complex. So teaching is the intersection of all of these things. A teacher has to be able to account for all of them with a collection of students that vary considerably in their initial understandings and knowledge that they can use to make new connections. There is no limit to how far you can push your cognitive limits as a teacher.
So I feel that as my preparation and experience improves, I am getting to a point where I can effectively navigate all of these. But it’s hard. And the many cycles of preparation, teaching and reflection are needed to become masterful at teaching. The ChemEd 2019 conference had so many teachers that were brilliant. To just watch them teach us was amazing. It felt like the concept from the book “Inner Game of Tennis.” My system 1 was just learning without my conscious mind interfering. But in addition to the teaching technique, there was also an abundance of creativity. An artistry or uniqueness that I loved watching and dissecting. 
My favorite part of teaching is this vast combination of cognitively demanding tasks that all require improvement. I think that teaching is the ultimate cognitively demanding profession and we talk about this too infrequently. I appreciate the sheer difficulty of doing this well and so I am incredibly happy when I get to observe someone doing this at such a high level. I find it so impressive when someone can combine so many tasks but also add in creativity. Being able to reflect and critique things afterwards with a group of teachers is the best. I also feel that the presentations have changed in the last few years. The level of elite teaching has stretched so high and I wonder if it would be fruitful to consider intentionally pushing for a localized arrangement of elite teachers to see what could be accomplished. I wonder what we could do if we intentionally arranged a cohort of teachers and gave them a working environment that was modeled after a conference like this. 
Sometimes when we teach we repeat things so frequently that complicated concepts become algorithmic and automatic. Some refer to this as saying I learn the best by teaching. But as we shift teaching into responding towards initial student models the cognitive demand becomes so much higher on teachers. It’s not just a transfer to long term memory of phrasing or algorithms. It is that deep thinking that is challenging and rewarding. And that means that the intellectual stimulation also rises with it. And I love it. I know that many avoid recommending the teaching profession, but I can’t think of a better job. There is nothing that I could do that push my thinking more than teaching does. And some of the new educational pedagogy provides such an opportunity to push yourself in ways that have not existed before. To me, the conference felt like I was surrounded by people who derived the same joy that I felt. I hope to be back at one soon.

Friday, November 2, 2018

Classroom Learning Thoughts

Weekly thoughts to consider about learning, thinking and academics that will continue to be updated throughout the year.
1. Getting an answer correct doesn’t mean you understand something, getting an answer wrong doesn’t mean that you don’t understand something
2. Our goal in discussion is not for 1 of you to say the right answer or give the correct explanation.  Our goals are to have as many of you think and have as many of you communicate your thinking as possible.  
3. Trying to do a problem you don’t know how to solve is one of the best ways to learn new information for retention and understanding.  Mimicking a sample problem removes much of the learning opportunities for new problems.
4. Your grade in chemistry class should reflect how much chemistry you understand, how well you can communicate your understanding and nothing else.
5. Chunking is the difference between smart and not smart, being able to chunk more information makes you able to learn more and faster.  If you feel not smart, start trying to accumulate more and more chunks.
6. Don’t try to achieve a lot by scamming your way through life, it’s unhealthy, learn and be awesome as much as possible
7. 2 concrete examples help analyze and learn abstract ideas. Good students produce the second example when the teacher omits it.