Wednesday, May 28, 2014

Blog Post #6: Video Reflection Comparing Linear Functions


Planning


                In the lesson planning section of the video, the three educators began by discussing the idea of a re-engagement lesson. According to their definition, a re-engagement lesson enables the teacher to determine what students are confused on or have misconceptions about by analyzing student work and using a series of questioning techniques. The objective of this re-engagement lesson was for the students to feel comfortable with producing multiple representations of cost analysis problems and gain an understanding that all representations are equal mathematically. The educators also wanted the students to practice representing a series of data verbally and for students to be able to read a table and a graph.

Lesson  


                The lesson began with the teacher reiterating the content that was learned in the previous lesson. He verbally reminded students that they had discussed the economic status of the world as well as how to make responsible decisions for handling money. Next, the teacher informed the students that in the current lesson they would be using the DVD plans packet and to follow along as the teacher went through page by page. On the DVD plans packet, students were asked to explain how they began their table from the previous lesson. Students were to write the explanation first, then share that explanation with their shoulder partner, and end with a whole class discussion.

                The rest of the lesson was highly repetitive and mostly involved the DVD plans packet and the white board. Students remained in their seats for the entire period and were given brief opportunities to discuss ideas with a partner when the teacher told them to do so.  The students were also given some opportunities to discuss their ideas with the entire class. Therefore, the lesson was almost entirely teacher centered. The teacher directed the lesson from start to finish and never relinquished his authority role for students to take responsibility for their own learning.

Faculty Debriefing


                In the faculty debriefing video, the four educators discussed both the positives and negatives of the Comparing Linear Functions lesson. The educator that actually taught the lesson was impressed by the students’ growth and their progress in debunking misconceptions about tables. He also discussed how students began making connections between the ideas that things can make mathematical sense even though they did not follow the DVD plan. On the other hand, the teacher noticed that students were not making the connections between the original writing prompt and the table they were working with. In order to aide future students in making this connection, the teachers decided to include all three plans and the original prompt on the DVD plan packet to remind students to refer back to the plans when analyzing the material. The teachers also discussed the student misconceptions about the differences between T charts and tables as well as the role and value of zero.

Overall Thoughts


                Though I believe the Comparing Linear Functions lesson was adequately designed to meet the intended objectives, the lesson lacked student engagement and was largely teacher centered. Students were provided with opportunities to share their ideas with their classmates but these sharing times were extremely short. Similarly, students were given specific prompts about what to discuss with their partners rather than allowing them to speak freely with one another. The teacher was in control of the entire lesson and maintained a strict schedule for every element of the lesson. Additionally, the teacher provided the students with all of the materials for the lesson. Students were given a packet that contained completed tables, directions, writing areas, etc. The students were not expected to create anything new but rather were asked to follow this packet page by page.  This lesson could have been improved by asking students to work through the problems in small groups. These small groups could have been instructed on determining whether each table was mathematically reasonable and followed the DVD plan. Then, the entire class could have come together to share their ideas with the students being in lead of the discussion and the teacher serving to clarify or expand their ideas.

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