Goal: Think like a mathematician! Looking for repetition in the way you draw or count, then generalize the regularity.
Source: Pattern #75 on www.VisualPatterns.org
Back to Recognizing Repetition Tasks
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Tue11Jan2022Tue15Feb2022Remote - Lawrence Public Schools
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Thu13Jan20227 pm - 8:30 pm EST
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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Tue18Jan2022Medway High School
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Wed19Jan2022Wed13Apr2022Remote
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Sat22Jan2022Houston, TX and Remote
Keynote with follow up sessions: What is Mathematical Thinking and How Do We Foster it in All Students?
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Tue08Mar2022Tue22Mar2022Remote, Bandini Elementary School, Commerce CA
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Wed16Mar2022Fri18Mar2022Indianapolis, IN
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Wed14Sep2022New Milford, MA
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Wed07Dec2022Fitchburg, MA
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Thu08Dec2022Guilmette Elementary School, Lawrence, MA
Comments are closed.
We used this task with a group of 8th graders. They loved it! They thought of at least 8-10 different ways to conceptualize the growth in this sequence, based on the visual pattern rather than just making a table of values. It was really impressive and they were thoroughly engaged. The task has a very low floor and a high ceiling, so it differentiates itself. It also was a rich source for mathematical discourse. Thanks!
Sounds like paying attention to process paid off for your students!
Working on this task with 8th graders, we saw several students come to the board to share their generalizations who rarely participate in class. One of these students came to the board and was the first to point out that the number of rows of 2 dots on each side was one less than the figure number. This led to the class generalizing, and coming up with an expression, from her “chunking”.
Also, this task led to students having lengthy, rich discussions when sharing their repetitions and generalizations.
It is exciting to hear that the routine offered entry points to students who typically do not participate in math class. Do you have a sense of what exactly it is about Recognizing Repetition that hooked those students?