Goal:
Think like a mathematician! Connect visual representations to algebraic expressions by chunking, changing the form, and/or connecting to math you know.

Goal:
Think like a mathematician! Connect visual representations to algebraic expressions by chunking, changing the form, and/or connecting to math you know.

Micro-Routines to Place Students at the Center of Instruction
9:30 AM - 10:30 AM
JW Marriott 304-306
Assessing Students' Learning Strengths: Formative Assessment Based on Areas of Cognition
1:00-2:00n pm
JW Marriott Ballroom 5
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Click here for more information and to register.
Click here for more information and to register for this 30-hour asynchronous course that provides teachers with five research-based strategies to help students with learning disabilities think and reason mathematically. Participants will leave:
o Understanding what it looks like when students reason mathematically—quantitatively, structurally, and through repetition.
o Knowing five essential strategies to engage students, support their development of mathematical thinking, and develop independence.
o Ready to support each and every learner to develop as mathematicians.
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Session #1 Putting the I in HQIM
Session #2 Areas of Cognition: Driving Instruction with Students' Strengths
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Description: During this preconference, participants will engage in and leave ready to apply two microroutines from the NCTM book High-Leverage Microroutines: Maximizing Student Engagement. These microroutines provide access and support for all learners and can be used with any curriculum. Participants will examine eight areas of cognition that students draw on when learning mathematics and identify students’ strengths in those areas. Participants will consider how the book’s ideas can be applied in their own contexts to ensure that all students think and reason mathematically.
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Session: Micro-Routines to Maximize Impact of Teacher Moves
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Click here for more information and to register.
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Typically we provide just one visual, but in this task set we played with providing three terms of a visual pattern. The annotation remains the same on each of the three terms so students can key in on the way the chunks grow, or do not grow.
I did this task today with my students and left out the representation for 3(n+1) +3. After the students matched the other two expressions with two pictures, I had them draw a representation for the lonely expression. It went really well! When I do it again next year though, I’ll have the W pattern already printed out for the students so it is easier for them to then just show the representation by grouping, circling, moving, etc. It was a hard pattern for them to draw. I watched Amy model a “Connecting Representations” task in Delaware 2 weeks ago, so I modeled after her. It went really well!!!
Sounds like it went well! I agree that drawing the representation is tedious, and annotating a copy of it is more effective. Grace and I typically recommend that you provide one copy per partnership so that students continue to work together rather than transitioning to individual work. Please keep us posted as you test-drive additional tasks. These reflections are so valuable for others as they implement. Thank you!