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
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Tue07Dec20217 pm - 8:30 pm ESTremote
Live Webinar: How to Use Three Reads to Create Independent Math Problem Solvers
Do your students struggle to make sense of word problems on their own? In this 90-minute webinar, you’ll learn why students struggle to interpret math word problems. We’ll talk about how word problems are written and why their design often creates a stumbling block for students. You’ll learn about the Three Reads reasoning routine and how it can help your students develop into powerful math readers. Participants will leave the webinar with concrete strategies they can implement immediately to help their students read with a mathematician’s eye.
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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?