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In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 7, 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.
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!
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.
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
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.
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
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.
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 
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.
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
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.
In case you haven't noticed, Kim has a favorite strategy. In this episode Pam and Kim discuss one of the most important strategies and how to use it for addition.Talking Points:Great listener feedback!A Problem StringWhere does the Over Strategy fit in the hierarchy of strategies?How does the Over Strategy help build place value?Modeling is super importantWhere we find the Over strategy day to dayDownload free examples of the Over Strategy: mathisfigureoutable.com/over  Download the free ebook of major strategies: mathisFigureOutAble.com/big
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 26, 2022Note: 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.
Ep 123: Anchor Charts

Ep 123: Anchor Charts

2022-10-2524:48

How can we help cement students' learning without memorizing steps? In this episode Pam and Kim share the power of anchor charts and how you can make them with your students. Talking Points: What is an anchor chart?Why have students co-create the anchor chart with teacher fascilitation?Why is "Do, Say, Represent" critical for student learning?What kinds of things go on an anchor chart? Kim suggests 3 things.When do you create an anchor chart?Where does an anchor chart go? When do you refer to an anchor chart?How can students use the anchor chart as a tool?What do meaningful notes look like for students' notebooks?
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 19, 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.
When dealing with word problems it can be tricky for students to decide which operation to use, so we need a way to help them memorize what to do in any given situation... right? In this episode Pam and Kim discuss how reasoning empowers students to skip rotely memorized steps to choosing operations and get straight to problem solving!Talking Points:Word problems feel unfair to students who have only experienced fake math.Students with reasoning develop intuition for what relationships a problem requires. Rich Tasks and Problem Strings with mini-contexts prepare students to apply their reasoning to real world contexts. 
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 12, 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.
When we teach Real Math, students come up with all sorts of cool strategies! But which ones are the main strategies, and how do we make the distinction? In this episode Pam and Kim take a listener submitted strategy and discuss where and what its uses are.Talking Points:The Most Important Numeracy Strategies are a relatively finite set.Are there other strategies that work and are mathematically coherent?Why do some strategies not make the short list?It's not about memorizing the strategies, it is about building relationships to help students become fluent.The less sophisticated strategies deal with single digits and partials.The more sophisticated strategies extend to multi-digit numbers and are more important.Our goal is to help students move to bigger and bigger chunks using more advanced reasoning.Teachers need to know the Landscape for Learning to recognize and acknowledge students' strategies.Check out Episodes 7 of this podcast for more about I Have, You NeedCheck out our free eBook to learn more about these strategies: https://www.mathisfigureoutable.com/big 
Ep 120: Rounding

Ep 120: Rounding

2022-10-0418:481

What fun rhymes will best help your students learn to round? Just kidding! In this episode Pam and Kim describe their wholistic approach to rounding that helps kids build relationships like place value!Talking Points:No rhymes needed.Modeling on a number line to reason about how far a number is from a landmark.Keep students reasoning about number with rich experiences.Conversations about the number line and rounding help develop students' place value and other mathematical concepts.Students need to understand the math that is figure-out-able and which is social knowledge.Context is an important part of rounding conversations.Clothesline math helps students build better intuition about numbers and their relationship to other numbers and rounding conversation can emerge.I Have You Need helps students find the greater landmark which is harder for students.Download the guide to playing I Have, You Need  HERE
Finding elapsed time can be a tricky concept, but when combined with a number line, we can make it figureoutable! Join Pam and Kim as they discuss using addition strategies to find elapsed time.Talking Points:Daily schedule on an open number lineI Have, You Need with combinations of 60How students might approach elapsed timeThree kinds of elapsed time problems
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