Math is Figure-Out-Able!

Pam Harris, Kim Montague
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Dec 6, 2022 • 28min

Ep 129: The Ratio Table Model Pt 1

Why are ratio tables so amazing? In this episode Pam and Kim describe ratio tables and what makes it on the favorite mathematical models short list. Then they show it off with a Problem String.Talking Points:What is a ratio table?Can ratio tables be both vertical or horizontal?Does the context of a ratio table matter?Should you ever erase when using a ratio table?What else should students see and use besides a ratio table?A Problem String to model on a ratio tableSome powerful generalizations from the problem string using a ratio table modelAre we done talking about ratio tables?Online workshop registration opens in January!
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Dec 1, 2022 • 4min

#MathStratChat - November 30, 2022

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 30, 2022. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.Check out #MathStratChat on your favorite social media site and join in the conversation.
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Nov 29, 2022 • 24min

Ep 128: Do, Say, Represent

Do your students ever say things like, "I just know" or "I don't know"? What can we do with that? How can we help students have meaningful discussions about their thinking and why is it so important? In this episode, Pam and Kim discuss the challenges of saying and representing our thinking, and how we can help students clarify their thinking in order to be able to discuss their strategies.Talking Points:When students say "I just know" because they just don't know what else to say or doWe can do more than we can say and say more than we can representDo, Say, RepresentThe importance of knowing your content and knowing your studentsHelping students grapple with and resolve disequilibruim helps clarify and solidify their learning Stay tuned for upcoming podcast for more about modeling to make student thinking visible
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Nov 24, 2022 • 4min

#MathStratChat - November 23, 2022

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 23, 2022. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.Check out #MathStratChat on your favorite social media site and join in the conversation.
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Nov 22, 2022 • 23min

Ep 127: The Over Strategy - Division

We're wrapping up our series on the Over strategy. In this episode Pam and Kim reason through a Problem String to develop the Over strategy for division.Talking Points:A Problem String to develop relationships for the Over strategy for divisionGreat teacher move that we call "the trail off method" to help students generalize and justify the relationships they are usingCalling out the relationships vs direct teachingWhere does the Over strategy fit in the hierarchy for division?Advantage of using a ratio table to model Partial Products vs 'lucky 7' or 'magic 7'Over strategy is helpful for addition and subtraction, but it is essential for efficient multiplication and division         Be sure to get the BIG download with all of the major strategies! https://www.mathisfigureoutable.com/big Plus, get the download specifically for building the Over strategy for all four major operations:https://www.mathisfigureoutable.com/over
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Nov 17, 2022 • 4min

#MathStratChat - November 16, 2022

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 16, 2022. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.Check out #MathStratChat on your favorite social media site and join in the conversation.
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Nov 15, 2022 • 25min

Ep 126: The Over Strategy - Multiplication

We are not over with the Over strategy! This week Pam and Kim dive into the Over strategy for multiplication.Talking Points:A new name for the Double and Half strategy?A Problem String to develop relationships for the Over strategy for multiplicationWhere Over strategy for multiplication fits in the hierarchy of multiplicative strategiesUsing the Over strategy to help students begin to use more Smart Partial ProductsBe sure to get the BIG download with all of the major strategies! https://www.mathisfigureoutable.com/big   Plus, get the download specifically for building the Over strategy for all four major operations:https://www.mathisfigureoutable.com/over 
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Nov 10, 2022 • 4min

#MathStratChat - November 9, 2022

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 9, 2022. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.Check out #MathStratChat on your favorite social media site and join in the conversation.
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Nov 8, 2022 • 23min

Ep 125: The Over Strategy - Subtraction

We just love the Over strategy! In this episode Pam and Kim go through a Problem String to develop the relationships used to think about the Over strategy for subtraction.Talking Points:Over strategy is a great experience for people new to thinking Real Math.The Over strategy is one of the major relationships that students need to own.A Problem String to nudge the Over strategy.The Over strategy can be tricky, so students need lots of experience and contexts.Modeling student's thinking on a number line helps make thinking visiable as they grapple with the relationships.Teacher moves to modeling that can help support students' thinking.Where does over subtraction fit in the hierarchy?Bonus! The Over strategy "uses" place value (not just place labeling)!Download free examples of the Over Strategy: mathisfigureoutable.com/over   Download the free ebook of major strategies: mathisFigureOutAble.com/big
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Nov 3, 2022 • 6min

#MathStratChat - November 2, 2022

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 2, 2022. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.Check out #MathStratChat on your favorite social media site and join in the conversation.

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