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Thoughts on Lesson Study by our Coaches

In this section, you can read reflections and questions posed by the EDC project coaches. The coaches meet periodically to reflect all together, so some of these comments are summaries of discussions held by the group.

What is the essence of lesson study?
Does the schedule of meetings impact the lesson study process?
How does the coach help deepen the mathematical conversation of a group?
What is the impact of the overall curriculum on lesson study?

What is the essence of lesson study?
As we support our lesson study teams, we are reflecting ourselves on what is at the essence of lesson study. We have focused our discussions on the following five characteristics:
(1) Teachers talking about math in a particular way, that includes how they think kids learn the content, what the mathematics behind a problem really is, what are the essential mathematical concepts behind a unit, etc. We want teachers thinking about all of the different ways students can get from point A to point B.
(2) Teachers focused on a broader goal about students. This characteristic has been a challenge for many groups who are used to planning lessons for content objectives and not broader learning goals. We, as coaches, are struggling to help groups use their goal to help them make decisions and to make their research lesson more of a systematic experiment.
(3) Teachers engaged in an open interchange of ideas and materials. Do they share their experiences? Is everyone engaged in the conversation? We are looking to help groups foster collegiality amongst themselves.
(4) Teachers who take a reflective stance on teaching and learning. We have found this to come fairly naturally in many of our groups. Teachers are talking about how they teach and thinking about new ways of doing things. Teachers have also told us how they are more aware of what students are doing in their classrooms, and this is impacting their teaching as well.
(5) Teachers that are recording their ideas and revising a lesson plan over time. The importance of writing down your conversations has become evident to us throughout this process. The groups that have a good way of keeping track of their ideas have had a much easier time moving through the lesson study cycle. We are still pondering over what kind of record groups should produce in the end of the cycle. What will be helpful to them? And what will be helpful to others?

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Does the schedule impact the lesson study process?
Our first seven teams have a range of meeting schedules, from meeting twice a week for an hour to meeting once every 3 weeks for 2 hours. As coaches, we are trying to balance the reality of scheduling issues in schools where a group of teachers have no common meeting time with the literature on lesson study that suggests groups spend 3 - 4 weeks completing one research lesson. (Fernandez, C. & Chokshi, S. (2002). A practical guide to translating lesson study for a U.S. setting. Phi Delta Kappan, 84(2), 128-134.) We have not found any answers yet to this question, but it is one we are reflecting on with our groups. We have seen that long spans of time between meetings can be challenging if good record keeping is not in place. Is momentum lost? This is something we're looking at.

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How does the coach help deepen the mathematical conversation of a group?
We have been encouraging our groups to look deeply at the mathematics of their research lesson, and in particular, to do the math. But doing the math is not enough to deepen the conversation. We are trying to help our groups think about how students develop an understanding of concepts that the teachers already have mastered. This has been a challenge. We have found that the observations of the research lesson have led to some of the richest conversations on the mathematics for groups that are struggling, because it enables them to see what students really do and do not understand. See the front page of the math section for more suggestions on how to deepen your mathematical conversations.

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What is the impact of the overall curriculum on lesson study?
Our lesson study groups utilize a variety of curricula - from the Standards-Based curricula such as Connected Mathematics and IMP, to traditional algebra and geometry texts, to teacher-created courses. We, as coaches, have been curious about whether these curricula impact the lesson study experience. While we recognize that the Japanese style of an open lesson is not really part of Japanese lesson study, we have encouraged our groups to try creating open lessons because of their natural fit with the research component of lesson study. We have not drawn any conclusions yet, but it seems that more important than the curricula in place is the teachers' familiarity with that curricula and their overall knowledge of the content. We will continue to share our thoughts on this important question as our project continues.

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