| Learning from Teaching Cases - Middle School Focus SummaryMonday - Friday, July 7 - 11, 2008Monday & TuesdayBoth the Middle School and High School participants worked together on a list of 
"smartnesses" for math.  We defined what the group is about.  
We also thought about four of our own students and shared what their smartnesses 
were, how they were perceived academically, socially, and how they actually 
performed in class.
 Thursday - Middle SchoolWe talked about a lesson on video and then we talked about all the different things 
that can happen while teaching a lesson. The lesson on video was a math activity 
about a linear relationship between the consumption of coffee during days traveled. 
One of the things that we talked about was about making groups and we liked the idea 
of creating a facilitator, a team captain, a resource monitor, and 
recorder/reporter. The strategy is that all the facilitators get together in a group 
and the team captains get together in another group and so on respectively. When 
those groups finish their problems they go back to their original groups to explain 
the problems to the rest of their group and so they won't get, all the group get 
similar problems.
 Another thing we talked about was strategies on how to keep the groups honest by 
taking participation quizzes and the grade posted for the groups to see so that they 
get motivated and start talking to each other. Shuffle quizzes are also used to keep 
the groups working by the group randomly choosing who will be presenting the problem 
to everyone else. One more thing that was very important while we were talking about 
groups was the fact that sometimes student don't know basic arithmetic skills 
therefore they don't solve problems correctly but when they move on to other 
concepts, these students excel and so the saying was that we should not let these 
basic arithmetic skills be the gatekeepers for higher education. Lastly, we talked 
about student's different ways of learning and that we as teachers need to know 
because many students are quiet and others are verbal and yet others are visual so 
we need to know so that we can reward these students accordingly. Friday - Middle SchoolWe discussed our responses to the article "A New Lens on Teaching: Learning to 
Notice," which described several methods we as teachers can begin noticing and 
reflecting more deeply on our practices and what is happening in our classrooms.
 Issues of interest in our discussion included 
the importance of continuing reflection on one's practice, even after many years 
of teachingthe difficulty of fitting in time for observation and reflection, along with all 
our other dutiesthe importance of realizing, as we set priorities, that observation and reflection 
are not simply personal goals for our own interest, but are essential tools for 
continuing to improve our ability to meet our students' needshow some more "private" and autonomous observation methods can be made more 
interactive and collaborative We next watched the video "Group Test" from Teaching Math: A Video Library 
produced by Annenberg Media. This led to an extensive discussion about the nature of 
teaching in today's math classroom. Discussion topics included the challenges of 
motiviating students, adaptation of curriculum to student needs, and effective 
assessments. Our discussion ended with reiteration of what we all know about teaching: that the 
best teaching begins with connecting with and caring about students. Homework: Read article about group-worthy tasks. Think about group project.
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