Goal:
Think like a mathematician! Connect visual representations to algebraic expressions by chunking, changing the form, and/or connecting to math you know.
Back to Connecting Representations TasksGoal:
Think like a mathematician! Connect visual representations to algebraic expressions by chunking, changing the form, and/or connecting to math you know.
Back to Connecting Representations Tasks
Are you looking for effective and efficient ways to address students’ unfinished learning? In this 90-minute webinar, we will share our current thinking on how to leverage reasoning routines to assess and advance underdeveloped math concepts from the previous year. We will discuss how students’ capacities to reason quantitatively and think structurally hold the keys to building new mathematical understandings and connections. We will focus on critical concepts in middle school mathematics: ratio and proportional relationships, algebratizing arithmetic, rational number concepts, geometric relationships, and/or functions. Join us to explore this building-on-strengths approach to accelerating unfinished learning.
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Keynote with follow up sessions: What is Mathematical Thinking and How Do We Foster it in All Students?
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https://www.escweb.net/tx_esc_04/catalog/multivenue.aspx?isSearch=0&event_id=1645569
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https://delawaremathcoalition.org/event/triple-crown-conference-2022/
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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!