Wednesday, November 14, 2012

Markert-- Student Work


This week my students are working with even and odd numbers. As part of this lesson the students continued working with counting by 2’s. To begin this lesson the students sat on the carpet for a mini lesson on what it means to be an even or an odd number. To introduce this my MT had the students count by 2’s starting at 2 then from 20 then from 40. This gave the students practice counting by 2’s but also a way to introduce what kind of number “2” is. Then my MT had two students stand up and explain that these two have a pair then had a third stand up and explain that this student is the “odd one out.” We did this has a group until we had 6 students standing. Then we began discussing what numbers are even and why as well as what makes an odd number. We went over that all even numbers end in a 0,2,4,6, or 8 and all odd numbers end in the remaining numbers (showing the students on the board.) The students really seemed to grasp the idea of an even versus odd number throughout the mini lesson. We did a few examples of writing a number on the board and asking the student if they are even or odd. The students all called out the answer and seemed relatively confident in their response. The student’s were then asked to go back to their seats and get a personal white board, marker and eraser.
Once back at their seats the student’s were asked to write the numbers 1-6 down their boards. My MT then explained to the students that she is going to say a number and they are to write that number down and then write an “O” or an “E” next to the number if they are odd or even. I decided to circulate the room and see what the students were doing and see how they were thinking. I got to one student for number three who wrote the number “16” with a “E” next to it. This is correct, however the number they were asked to write was number 19. This student is one of the lower students who is going to RTI for math. I believe that she wrote the number 16 thinking that she had down 19 and made a relatively common mistake of flipping her number. I then realized she looked up at the board and saw that the number “6” is one of the numbers that is always even. I am glad that I saw her use her resources to answer the question and she did do that correctly however she wrote the wrong number, which would have been an odd number. The importance of knowing your numbers is crucial at this point because it is hard to build knowledge when the framework is not secure. To make this task a high level task I believe it would have been beneficial to have the students explain why the number that they have written is even or odd. Another way that students could demonstrate understanding of even or odd would be to have the student draw a picture or use manipulatives to show that a number is even or odd. Having the student explain the reasoning would be helpful because then I would also know how the student is thinking about even and odd. Did she know that 6 is even because they each have a pair or because it is on the board and the teacher said so? Did she truly mix up her number or was she just not really listening? There are so many questions that could be answered if the students were asked to explain their reasoning. This was a quick lesson due to a field trip and other time constraints so I will be interested in what this particular student does next. I also will like to see how the students grow in their understanding of even and odd numbers. 

1 comment:

  1. These are all good analyses and recommendations. I would suggest that you think of ways in which you might construct an open-ended, high-level task that allows not only for students to come up with different representations of the concept, but also to share this different representations with each other. This is implicit in your analysis above, but I also want to encourage you to think about how you as the teacher might explicitly connect these different representations in the most powerful way that scaffolds thinking towards the big idea...again, such a sharing-out can be accomplished through a whole class discussion.

    ReplyDelete