Micro-Teaching: Estimating Percents

I am so content with how this lesson worked out. I feel like we improvised a lot, but did it in a very professional way. It was strange to me, that some members of my group were unhappy with how much improvisation we did. This is strange to me, for I feel that all of teaching should be more improvisation than structured lectures. My strategy has been to learn the material enough that I can just talk about it with those in front of me, and I feel that it has been paying off.

Lesson Plan

 EDCP 342 Coteaching Lesson Plan

 

Subject: Estimating Percentages

Grade: 8

Date: Oct 16, 2023

Duration:  20 minutes

 

Curricular Competencies   https://curriculum.gov.bc.ca/curriculum	Estimating reasonably Using multiple strategies to solve problems Communicate mathematical relations
Big Ideas	The principles and process underlying operations with numbers apply equally to algebraic situations and can be described and analyzed Similar shapes have proportional relationships that can be described, measured, and compared

Core Competencies

Critical/Reflective Thinking: Using logic and reasoning to evaluate thinking Communication: Knowledge, skills, processes and depositions we require to interact with others Personal awareness and Responsibility: Understanding our strengths and catering to them

Materials and Equipment Needed for this Lesson

Markers for whiteboard

  

Lesson Stages	Learning Activities	Time Allotted
Warm-up	Assess understanding and connect to their previous knowledge of percentages by giving an easy “fraction to percentage question” Ex: 5/20 -> 25% Present this warm-up as review (because we did this last class) Present hard fraction as an intro to this lesson: 27/43 -> 62.79%	4-5 mins
Middle	Evan- multiply both top and bottom by a number to get the denominator as close to 100 as possible	3-4 mins
	Jessica- add or remove some amount from the numerator until the fraction is simple and can be simplified	3-4 mins
	Jacky- Use a calculator  *Con is when stuff is simple*	1-2 mins
Recap	Discuss pros and cons of strategies and which they prefer. In what situations will some estimates be better or worse? Encourage them to make up their own strategy All of class has to tackle 27/43 -> 62.79%	6-8 minute

 

Assessment/Evaluation of Students’ Learning

Exit Slip: What makes an estimation a good estimation? How would you judge the “goodness” of an estimation method

Was Pythagorous Chinese

By framing a knowledge as your own, it creates a perceived superiority over others. During the cold war, the ability for the USSR to put a satellite into orbit did not rouse cheers from the Americans, but despair. Cultures often compete with each other over which is more advanced, and this is often measured by which has the greater academic knowledge. We are now living in a global culture, which means that there should be collaboration, not competition, between nations. If we continue the false narrative that knowledge was only developed by "our" culture, then we lose the ability to work together. In competition there is no sharing of resources between sides. If our global culture is to overcome the challenges faced in the upcoming years, we must work together and recognize that all cultures have knowledge to bring to the table.

I am torn about the naming conventions of certain theorems. On one hand, I recognize that calling it "Pythagorean Theorem" emphasizes a the competitive approach to knowledge I mentioned above. However, I do believe that if it is taught with the emphasis that it was not only discovered in western society we can acknowledge that a name is only a name. Many cultures have discovered the concept of a chair, and thus many cultures have different words/names for the concept. It would be problematic if western students were taught that only their culture were smart enough to invent chairs and that is why they call it chairs. Hence, calling it Pythagorean is not a problem as long as the concept is introduced through an international lens.

Mircro Lesson Peer Reviews

 

**UPDATE**

I think this lesson went ok, but unfortunately I did not time out the lesson nor scaffold it particularly well. I think I was too ambitious, for I did not recognize how large the zone of proximal development would be for my peers. I assumed that an idea would have been common knowledge. Because of this, I had to improvise and begin teaching a different topic. I believe I taught the concept of levers well, but was not able to make the extension to swing stage scaffolding properly.

My peers saw that my timing was off, and the reason for this is outlined above. I saw that the content clarity was off because I had to jump between many different things to close the zone of proximal development.

Micro-Lesson Plan

 Here is the lesson plan for my micro lesson on swing stage scaffolding:

Battleground Schools: Reflection

 This piece was interesting because I had never thought of Math as a politically charged subject. We hear in the news about english and history being re-written due to political influence, but math seemed to be one of the untouchable subjects. I see now that this is untrue.

I saw many similarities to the concepts of instrumental vs relational understanding. As has been mentioned in class, instrumental understanding is more quickly grasped, while relational understanding leads to better applications of one's knowledge. It is apparent that society chooses which type of understand to prioritize depending on the society's needs. 

The most difficult part of this reading is that it is apparent that there is no right answer, and there is no pleasing everyone. It is humorous that parents who wish to protect their child's future will argue about which path forward is best. Parents will argue both for and against changes to the curriculum, both with the exact same end goals.

My big takeaway is that becoming a math teacher does not make you immune from politics. It will be my duty to fight for what I see to be in my student's best interests. 

TPI Reflection

 I am very happy that I was categorized as Developing and Nurturing. I related very strongly to these categories after reading their summaries.

Developing means that I meet students where they are and work with them towards their goals. My experience focuses on those who need concepts broken down into simple terms before being able to approach the complicated ones.

Nurturing means that I recognize the emotional aspect of teaching, keeping students engaged by supporting their abilities and congratulating their efforts.

I think this both of these qualities stems from my origin as a tutor for failing students. They required me to teach with a developmental mindset, for the were only in the emerging category. They also required me to teach with a nurturing mindset, because they thought they were terrible at math and therefore had lower self confidence. 

I am unsure how this profile will change after I teach in a classroom. I think that as my class size increases, and as the skill level of my students increases, my profile will change.