Math is Figure-Out-Able!

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 13, 2023. 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!

Mimicking rules for integer operations does not help students become doers of Real Math, and frankly doesn't often stick in their long term memory. In this episode Pam and Kim walk through a Problem String that helps students develop an intuitive understanding of integer addition!Talking Points:Exploring the beach as a contextEquations and number lines in contextCarefully chosen numbers to avoid distracting cognitive load Subtraction symbol or adding a negative? Parentheses or not? Let students grapple, then support and help make sense of ambiguitySee Ep 242 for more information on Integer MultiplicationCheck 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 December 6, 2023. 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!

How can we help students reason about integers? In this episode Pam and Kim discuss fun and natural ways to explore and understand both positive and negative integers.Talking Points:The Pen/Pencil argument continues5th graders can reason about integersGames do develp understanding of integersClothes line math with integersExploring four useful contexts for integersSee Ep 242 for more information on Integer MultiplicationCheck 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 November 29, 2023. 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!

How do you label fractions on an open number line? How do you label a fraction of a candy bar? How many cuts do you make to cut a candy bar into fourths? Pam and Kim invite you to revisit episode 138, this time with an ear towards fractions. Do your students ever get confused about counting obects vs counting distance? In this episode 138 Pam and Kim use a Problem String to help build intuition about everyday subtraction problems.Talking Points:Experience a Problem String to build relationshipsFencepost Problems are all over the placeStudents can't just pluck numbers out of Fencepost problemsCathy Fosnot's replacement unit, "Measuring For the Art Show"Other places these kind of problems show upKim explains her strategySee episode 111 for more about "Measuring for the Art Show"!Check 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 November 22, 2023. 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 does it mean when we say 'fake math' or 'less sophisticated'? Pam and Kim discuss how learning Real Math is empowering and opens a whole new world of understanding.Talking Points:Are squared numbers an important thing to own?The MatrixIt takes experience to understand perspectivesMartiansDoing 'fake math' or using a 'less sophisticated' way of thinking does not make the person fake or unsophisticatedReal math is empowering and can open up a new reality!Check 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 November 15, 2023. 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!

We can be our own kids' best teachers, even when it comes to gnarly division problems. In this episode Pam and Kim relay their experiences exploring decimal division with their own kids. Talking Points:A tool for holding your thinking - a ratio tableIt's not about how much you can hold in your headHelp them start with what they knowProblem Strings are not about answering just the last problemIt isn't about being able to solve every problem It's about owning the major relationships in order to think like a mathematicianCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC