Ep 253: Choosing A Problem String Math Is Figure-Out-Able! podcast

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Podcasting Education Pam Harris

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Content provided by Pam Harris, Kim Montague, Pam Harris, and Kim Montague. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Pam Harris, Kim Montague, Pam Harris, and Kim Montague or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

Math is Figure-Out-Able! « »
Ep 253: Choosing a Problem String

8 days ago 30:36

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Content provided by Pam Harris, Kim Montague, Pam Harris, and Kim Montague. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Pam Harris, Kim Montague, Pam Harris, and Kim Montague or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

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 model vs strategy
- New content versus review/reteach

See episodes 33, 71, 72, 163, 226, 241 for more on Problem Strings!
Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC

… continue reading

388 episodes

#Podcasting Education #Pam Harris

Artwork

Ep 253: Choosing a Problem String

Math is Figure-Out-Able!

28 subscribers

published 8 days ago

Share

MP3•Episode home

Content provided by Pam Harris, Kim Montague, Pam Harris, and Kim Montague. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Pam Harris, Kim Montague, Pam Harris, and Kim Montague or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

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 model vs strategy
- New content versus review/reteach

See episodes 33, 71, 72, 163, 226, 241 for more on Problem Strings!
Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC

… continue reading

388 episodes

#Podcasting Education #Pam Harris

All episodes

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1
Ep 254: Preparing for a Problem String 31:17

16 hours ago31:17

31:17

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 ok? Where can you find pre-written strings complete with facilitation notes and final display? https://www.mathisfigureoutable.com/big Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - April 23, 2025 3:38

6 days ago3:38

3:38

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 253: Choosing a Problem String 30:36

8 days ago30:36

30:36

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 model vs strategy New content versus review/reteach See episodes 33, 71, 72, 163, 226, 241 for more on Problem Strings! Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - April 16, 2025 4:29

13 days ago4:29

4:29

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 252: Foundations for Multi-Digit Multiplication & Division Strategies 30:06

15 days ago30:06

30:06

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 Area model 2 different kinds of division Relationship between multiplication and division Practice ideas Get your kit from Hand2mind here: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-multiplication-division-small-group-kit Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - April 9, 2025 4:15

20 days ago4:15

4:15

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 251: Foundations for Multi-Digit Addition & Subtraction Strategies 33:02

22 days ago33:02

33:02

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 teacher guide Sample of three "messy" tasks to: develop number lines make connections between addition and subtraction analyze strategies solidify a strategy For more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - April 2, 2025 3:40

27 days ago3:40

3:40

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 250: Foundations for Single Digit Multiplication & Division Strategies 30:14

29 days ago30:14

30:14

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 vocabulary Differentiation Foundations of multiplicative reasoning, area, geometry Contexts to develop 3 major models Useful fact practice Anchoring the learning For more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - March 26, 2025 5:10

5 weeks ago5:10

5:10

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 249: Foundations for Single Digit Addition & Subtraction Strategies 27:10

5 weeks ago27:10

27:10

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 information on Hint Cards) Check out pre planned sequence of tasks in the Foundation for Strategies small group kit Order information for Foundation for Strategies here: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit Order your copy of Avoiding the Trap of Algorithms here: https://www.mathisfigureoutable.com/avoidthetraps Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - March 19, 2025 4:31

6 weeks ago4:31

4:31

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 248: Avoid the I'm Not A Math Person Trap 20:45

6 weeks ago20:45

20:45

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 Identity Definition of Math Trap Read Pam's new book for more information: Developing Mathematical Reasoning: Avoiding the Trap of Algorithms Purchase Book here: http://www.mathisfigureoutable.com/avoidthetraps Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

1
#MathStratChat - March 12, 2025 4:25

7 weeks ago4:25

4:25

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, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

1
Ep 247: Avoid the Digit Trap 23:28

7 weeks ago23:28

23:28

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", numbers Parsing out polynomials into too many pieces Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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