Math is Figure-Out-Able!

Math is Figure-Out-Able!

Math teacher educator Pam Harris and her cohost Kim Montague answer the question: If not algorithms, then what? Join them for ~15-30 minutes every Tuesday as they cast their vision for mathematics education and give actionable items to help teachers teach math that is Figure-Out-Able. See www.MathisFigureOutAble.com for more great resources!

Episodes

May 7, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 7, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, auth...

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You facilitated a Problem String! ... Now what? In this episode Pam and Kim share they think about after facilitating a Problem String and what their next steps for their classroom might be.

Talking Points:
Ways to up the ante

  • Echo strings
  • How much to change at once
  • Next Step strings
  • When to move on
  • When to anchor

Get Problem String books here: https://www.mathisfigureoutable.com/books    

Check out our soc...

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April 30, 2025 3 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 30, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, a...

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April 29, 2025 31 mins

You've chosen a Problem String to teach, but does it need any preparation? In this episode Pam and Kim discuss how they prepare to facilitate a Problem String.

Talking Points:

  • Is it ok to adjust a pre-written Problem String?
  • What should you include in your 'Kim's Notes'?
  • What will your final board layout look like?
  • Naming specific teacher moves 
  • Practice using models ahead of time
  • Are pre-created models o...
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April 23, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 23, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, a...

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April 22, 2025 30 mins

Which Problem Strings are appropriate for your students? In this episode Pam and Kim discuss what they consider when choosing a Problem String for a classroom.

Talking Points:

  • A fraction addition example string
  • Things to consider when choosing a Problem String:
    • Prewritten vs write your own
    • Time of year
    • Strategies students already own
    • Building a model vs building a strategy
    • Order of sophistication of strategies
    • Building a m...
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April 16, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 16, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, a...

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What kinds of tasks help students build multi-digit multiplication and division strategies? In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for multi-digit multiplication and division: Scaling, Over and Adjust, Partial Products, Factoring

Talking Points:

  • Benefits of using diverse task types
  • Sample of three "messy" tasks to develop:
  • Ratio tables
  • Ar...
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April 9, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 9, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, au...

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What kinds of tasks help students build multi-digit addition and subtraction strategies? In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for multi-digit addition and subtraction: Friendly numbers, place value, adjusting, the commutative property, decomposing

Talking Points:

  • Sequencing tasks is more than just moving from one page to the next in the teache...
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April 2, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 2, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, au...

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Math class is richer and more fun when the goal is more than answer-getting!

In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for single digit multiplication and division: doubling, making use of ten, and partial products/quotients.

Talking Points:
Three sample sequence of tasks that use:

  • A product approach
  • Student exploration of patterns
  • Just in time vo...
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March 26, 2025 5 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 26, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, a...

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What should the bulk of math class look like? In this episode Pam and Kim discuss sequencing tasks to build foundational relationships that develop into major strategies.

Talking Points

  • Major relationships that build the major strategies
  • Problem Strings are one kind of task
  • Foundational Relationships for young learners
  • Rich tasks that get kids messing with relationships
  • What does practice look like? (See Episode 38 for more...
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March 19, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 19, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, a...

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Why do students give up on learning math? In this episode Pam and Kim discuss how using algorithms as teaching tools is distorting students' perception of what the definition of math is, which results in a poor mathematical identity. 

Talking Points:

  • A mysterious five pound bag
  • A proportional reasoning Problem String
  • Trap #1 and #2 (see Ep 246 and 247 for more details)
  • Trap #3 a false definition of math that leads to ...
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March 12, 2025 4 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 12, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, a...

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March 11, 2025 23 mins

Why do students not realize their incorrect answers are completely unreasonable? In this episode Pam and Kim discuss another trap students fall into when taught to mimic algorithms as 'the way' to solve problems.


Talking Points:

  • The patterns in Remove a Friendly Number Over strategy
  • Important place value conversations
  • How students can be stuck dealing with only digits rather than magnitude
  • Reasonableness, or "Ish...
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March 6, 2025 6 mins

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 5, 2025. 


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.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, au...

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If a student can perform an algorithm, have they developed the mathematical reasoning that operation calls for? Or are they answer-getting? In this episode Pam and Kim discuss a major trap students fall into when we teach mathematics as a series of steps to rotely memorize. 

Talking Points:

  • A closer look at the multiplication algorithm and a major trap.
  • Problem String that helps give students a high does of patterns for ...
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