Thursday, 27 October 2016

Math Lesson Playing

Hi everyone and welcome back!

This week in class, we had the opportunity to practice writing a script for a lesson plan we
http://slideplayer.com/slide/8943881/
recently created. The purpose of this task was to try and anticipate student responses and also create a scenario where we as the educator, would have to further assist students who may be struggling. Personally, I found this activity slightly difficult however very meaningful. While creating the script with my partner, one of our biggest challenges was trying to predict how students would react to the lesson content. As future educators, we will run into this problem in our own classrooms because we will never truly be able to predict how students will react in class. Will the students understand the material right away? Will only half the class get it? Will no one understand it? Students could be having an “off day,” they could be tired or they could be stressed and thus become disengaged and frustrated during the lesson. With this being said, it is extremely important as an educator to do your best to anticipate student’s responses. In doing so, you become prepared for when situations might get out of hand such as students arguing, not paying attention, or completely disrupting the class. This also goes hand in hand with the importance of teacher’s being adaptable and flexible during their teaching. Personally, I believe these qualities are crucial for any educator to be successful.

For our script, we chose one of the worksheets called Stack Them, from the “action” component of our lesson plan. The content within my partner’s and I script is based upon the drawing of the frames, completing of the table and the graph. We did our best to try and anticipate common student response's and possible mistakes. This experience really caused me to stop and reflect upon how difficult it truly is to try anticipate your student's behaviour. Ultimately, this was great practice for situations we will face in the future! 


Teacher: Today we will be talking about linear and non-linear relations. To begin, please take out the sheet titled “stack them.” I will be passing around drinking cups to help visualize the relationship between linear and non-linear relations. Can I have a volunteer draw the fourth frame on the smartboard?
Emily: (draws correct frame on the board)
Teacher: So why did Emily draw the frame with ten cups?
Kyle: She just added another row to the bottom.
Teacher: Well, that is correct, however, do you notice anything about the pattern of first differences?
Kyle: I guess the total number of cups is going up by the same as the cups on the bottom row.
Teacher: So what exactly is happening to the first differences?
Bobby: So the first differences are going up by one every time then.
Teacher: Thank you Bobby. Considering what we now know about the first differences, how many cups will be in the next frame?
Alice: Fifteen!
Teacher: Thank you Alice. We are now going to fill out the remainder of the chart. Can someone tell me how many cups will be added in the sixth and seventh frame?
Sarah: twenty-one and twenty-eight.
Ryan: No it’s twenty-one and twenty-seven.
Sarah (Shouting): Mrs.! He’s wrong. He’s so wrong. Shouldn't it be twenty-one and twenty-eight?
Ryan (shouting back at Sarah): no are you crazy, its twenty-one and twenty-seven.
Teacher: Ok, let’s not yell at each other. Ryan, why do you think the answer should be twenty-seven instead of twenty-eight.
Ryan: Because you added six to fifteen to get twenty-one so I added another six again.
Teacher: Ok, Sarah, why do you think the answer is twenty-eight?
Sarah: Well, the pattern of the first differences is increasing by one more cup each time that was added to the previous frame. So I added seven to twenty-one to give us twenty-eight.
Teacher: Sarah, that is correct. Does anyone have any questions about how we reached those answers? Now we are going to graph the data. Can anyone tell me what the x-axis should be?
Carol: Number of cups added.
Teacher: Close, but let’s think about this. What characteristics usually belong along the x-axis?
Rob: Something that changes over time?
Teacher: Yes. So Carol, is your answer going to change?
Carol: Yes. So it should be the frame number along the x-axis. And that means the y-axis is the number of cups added or total. 
Teacher: Can I have a volunteer come to the smartboard and plot the graph?
Ben: plots the graph (starting point is in the incorrect position- everything is shifted up)
Teacher: Close! Does anyone notice anything wrong with the points that have been plotted on the board?
Kyle: I think it started too high?
Teacher: Would you like to come fix it?
Kyle: Sure, so am I just moving the points down one value each?
Teacher: Would anyone else like to answer Kyle’s question? Do you think he is right or wrong?
Sarah: Yes, Kyle you just need to move it down one value each frame.
Teacher: Thank you Sarah

Thanks for reading! Until next time, 
Rachelle

2 comments:

  1. Hi Rachelle!

    My partner and I, like you and your partner, found the script activity difficult to do. Your script did address common responses, mistakes and misunderstandings students may have in relation to your worksheet. Although the activity's goal was to make us try and anticipate student responses to our respective lessons, it can be difficult to determine all situations that will arise. We can obviously try to come up with some ideas, but there will always be something that we cannot anticipate. So it is important as educators to be flexible and adaptable while teaching. We have to be able to think quickly to deal with any situation that may arise. Great post!

    Melissa Broderick

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  2. Hi Rachelle,

    Like you, I also found the script activity difficult and at times I found myself wondering why we were even doing that activity. But in the end I realized that it was a great way to think and predict how students would react to my lesson. As you said, you never really know how students are going to react to the lesson you have planned or even they will even be able to grasp the material. By completing this activity we were able to critically think about the possible questions that students might ask us. Although, we can never really fully prepare for what students have in store for us. We just need to prepare as much as we can and go with the flow.

    Great post!

    Jordan Black

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