I have completed another full week in the field and it was great! We actually focused a lot on math this week and diving deeper into long division. It is very nice to be in the classroom all day because I remain on the same page as my students when it comes to their ability levels. I learned a lot of new ways to represent division. I showed my students how to use base ten blocks to represent division. A lot of students had a misconception that when using base ten blocks you couldn’t represent a remainder in the drawing of the division problem. I showed them how to do this and that the extra remainder simply could not fit evenly into the groups.
I also used the base ten blocks to work a lot with showing what the remainder represents. I was quite disappointed that the math program “My Math” writes the remainder to a division problem as r 3 (for example). This has caused a big misconception in the minds of the students in my class. They think that this means that the remainder is in fact the number three, meaning three whole numbers. When in reality, the r 3 in the problem 18/5 is really 3/5. It took almost half a class period for me to explain this to some students in my class. When I used the base ten blocks to model the division problem it was way easier for me to model to the students what the remainder actually represented.
Another topic that we covered was interpreting the remainder in a division story problem. For example, we used the problem “If Sally was reading a book and could only read 6 pages in one night before falling asleep, how many days would it take her to read a 74 page book?” The answer is 6 and 2/6. However, she wouldn’t finish the book in 6 days because she would still have 2 pages to read. So the answer is that it would take her 7 days to finish the book. This is how I taught the students to interpret the remainder in a story problem. In order for the students to practice this skill, my CMT and I decided to let the students work in small groups to complete a number of these story problems where the remainder needs to be interpreted (rounded up or down). We chose this way because we thought that the students could formulate discussions about these remainders which would help their comprehension of the topic. We walked around the room guiding students, but still let them talk about the remainders themselves.
At the end of this week, I got to lead a study review session over division because they were having a test on Monday. I took half of the class and led the review session where I walked through the entire chapter with them so that the students were refreshed on the topics they studied a couple weeks prior, while my CMT took the struggling students at the back table in the room. This strategy of co-teaching allowed for the struggling students to receive extra help in the concepts that they are still confused on, and it let the students who are excelling to practice more example problems and explain their reasoning. Overall, this week was very rewarding and I feel that the students get a lot more opportunities to succeed when I am there co teaching with my CMT. I look forward to starting my unit next week!