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 TasksGoal: 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
New Year, New Ideas: Curriculum Associates National Mathematics Summit. More info
Participants will develop a deep understanding of what it means to think and reason mathematically. They will learn three distinct ways of thinking mathematically championed in the Common Core State Standards for Mathematical Practice: reasoning quantitatively, thinking structurally, and reasoning through repetition. In addition, participants will learn how to develop these avenues of thinking in their students.
Register here by June 7th at noon EDT
Are you thinking about how to address students’ unfinished learning? We are too! In this 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.
Register by August 2nd at noon, EDT
Synchronous sessions will take place between 11:00 AM and 3:00 PM EDT
Register here by August 16th at noon EDT
Participants will develop a deep understanding of how five research-based strategies (ask yourself questions, sentence frames and starters, annotation, the Four R’s, and turn-and-talks) can be used to help students with learning disabilities develop mathematical thinking. They will learn about six accessibility areas (conceptual processing, visual-spatial processing, language, attention, organization, and memory) math learners must use when doing mathematics. They will see how the essential strategies support students as they work in each of the accessibility areas by engaging in an instructional routine designed to develop mathematical thinking. Participants coalesce their learnings as they apply the course ideas to draft IEP goals that focus on students’ mathematical thinking.
Asynchronous from
Oct 6 - Nov 30, 2021
2 recorded synchronous sessions, Oct 27th and Nov 9th 7-8 pm Eastern
Reasoning Routines: A window into the process to design your own
For more information
Sessions
Saturday 10:30-12:00 Designing A Reasoning Routine to Develop Mathematical Thinking
Saturday 1:15-2:45. Build Student Agency through Mathematical Modeling
Sessions
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?