Math is Figure-Out-Able!

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, decomposingTalking Points:Sequencing tasks is more than just moving from one page to the next in the teacher guideSample of three "messy" tasks to:develop number linesmake connections between addition and subtractionanalyze strategiessolidify a strategyFor more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kitCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

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: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationWant more? Check out the archive of all of our #MathStratChat posts!

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 approachStudent exploration of patternsJust in time vocabularyDifferentiation Foundations of multiplicative reasoning, area, geometryContexts to develop 3 major modelsUseful fact practiceAnchoring the learningFor more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kitCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

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: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationWant more? Check out the archive of all of our #MathStratChat posts!

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 PointsMajor relationships that build the major strategiesProblem Strings are one kind of taskFoundational Relationships for young learnersRich tasks that get kids messing with relationshipsWhat 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/avoidthetrapsCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

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: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationWant more? Check out the archive of all of our #MathStratChat posts!

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 bagA proportional reasoning Problem StringTrap #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 TrapRead Pam's new book for more information: Developing Mathematical Reasoning: Avoiding the Trap of AlgorithmsPurchase Book here: http://www.mathisfigureoutable.com/avoidthetrapsCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

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: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationWant more? Check out the archive of all of our #MathStratChat posts!

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 strategyImportant place value conversationsHow students can be stuck dealing with only digits rather than magnitudeReasonableness, or "Ish", numbersParsing out polynomials into too many piecesCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC 

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: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationWant more? Check out the archive of all of our #MathStratChat posts!