#LessonClose
What are some mathematical and pedagogical purposes you might have when thinking about closing the lesson?
- Go over solutions
- Highlight main ideas
- Leave them wanting to come back tomorrow...
- Introduction to tomorrow’s lesson
- Highlight the way a student kept track of/organized their thinking through a problem
- Compare different strategies/solutions paths to the problem
- Students reflect on their learning and communicate their ideas or challenges in writing
- Gather questions that students now have about the topic of the lesson
- Bring student ideas forward for more consideration by the group
- Help someone work through an idea
- Look for misconceptions
- Highlight a specific student’s work if it would be significant for that student and their mathematical identity
- Set up for the next day
- Assign competence to learners
- Press for justification
- When the session is going to carry over to the next day, get some strategies on the table for learners to try tomorrow
- Make connections to previous learning
- Frame a juicy question to leave open
- Finding mathematical commonalities among strategies - consolidation
- Formative assessment - guide the next lesson prep
- Synthesize something sprawly
- Clarify learning, identify misconceptions
- Supporting students to develop identities as mathematicians; positioning students competently
- Finding a generalization, conjectures,etc
- What do you notice?
- What if an aspect changes, can you rethink without starting over? “Think about” homework left open
- Summarize and synthesize
- Addressing misconceptions observed while students were working independently.
- Continuing to process the learning… posing more questions for students to consider as lesson comes to a close.
- Highlighting efficient strategies / ideas that could move thinking of class forward.
- Seeing ourselves as a community of mathematical thinkers who are working on an idea(s) together - co-constructing ideas
- Ask students if anyone adjusted their thinking based on what a classmate shared
- Nominate a “golden nugget” idea
- Bring forward a next question
- Revisiting the standard or objective…did we get there?
- Mathematical purpose: providing space to apply understanding for me to possibly collect and see where students are at, space to ask questions, articulate takeaways in your own words. Pedagogical purpose: to see how your understanding has changed over time (I used to think this but now I think this OR I already thought this and now I see even more clearly that this)
- Sometimes it is helpful to close a lesson by drawing attention to a big idea, like equivalence - this way you don’t have to focus on a particular strategy so much as how do all of our strategies connect?
- Making connections to different/previous skills and strategies to help progress/solidify the understanding of all students
- As a form of assessment
- Revisiting why we did this and what might be next to support learning
- Revisiting why we said we were doing what we were doing, and seeing if we can articulate what we found out
- Returning to the point of the lesson so that learners can consider what they found out
What are some formats you might use?
- Dedicated organizer to keep track of said closers on a daily basis
- Share work samples and facilitate a class discussion
- Small group discussion
- Reflection in a journal
- Gallery walk and sharing what students noticed
- Exit tickets
- Whole group discussion
- Write 3-2-1 - 3 things I learned, 2 things I found interesting, 1 thing I still have a question about
- Yes, whole group discussion with opportunities for smaller group or partner discussion along the way
- Sometimes it is helpful to close with a question - keep students thinking about an idea that isn’t so easy to wrap up. This is great to do with writing - what are you still unsure about - I get some really thoughtful responses with these kinds of questions.
- 60 second write
- Ticket out the door
- KWL chart
- Carousel - papers out that people walk around and add to
- What is one thing they really understand after today’s lesson, one thing they have a question about, one thing they don’t get