Statistics Problem Strings? Yes Please! In this episode Pam and Kim demonstrate a Problem String that helps students develop intuition for the meanings of mean, median, and mode. Talking Points: Names are social knowledge, but the feel for what they mean in the data is logical mathematical knowledge Experience with data helps students develop real understanding of mean, median, mode Changing the data values and comparing how that affects the measures of central tendency deepen understanding Chec...
Aug 27, 2024•31 min•Ep. 219
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on August 21, 2024. 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 o...
Aug 22, 2024•8 min
Is statistics figureoutable? In this episode Pam and Kim explore a Problem String to build logical mathematical sense for the meaning of mean. Talking Points: What is the mean? Just in time vocabulary Social vs Logical Mathematical knowledge Understanding mean/average is much more than performing an averaging procedure Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC...
Aug 20, 2024•21 min•Ep. 218
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on August 14, 2024. 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 o...
Aug 15, 2024•5 min
We were joined by Jenna Laib at our last challenge where she facilitated an amazing routine called Slow Reveal Graphs. In this episode Pam and Kim share that same Slow Reveal Graph and explain along the way why it makes for such an impactful tool to teach data analysis and interpretation for students K-12. Talking Points: Shout out to Jenna Laib for currating the Slow Reveal Graphs website Questions that focus on Strategy vs Answers High level of engagement Natural extensions built into the rout...
Aug 13, 2024•24 min•Ep. 217
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on August 7, 2024. 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...
Aug 08, 2024•5 min
Have you ever discoverd a super task or routine online only not be able to find it again when you really need it? In this episode Pam and Kim share Sembl, a curation of free, online math resources for your classroom that are filtered for quaility and organized for ease of use. Resources ready for you to integrate into your own curriculum! Talking Points: An amazing tool for finding and organizing tasks and other math content Great to find new math education creators App is able to organize and s...
Aug 06, 2024•19 min•Ep. 216
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on July 31, 2024. 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 ...
Aug 01, 2024•4 min
It is helpful to find the particular lens to focus your own learning, in order to make real progress. In this episode Pam and Kim discuss planning and sequencing to keep the math moving forward in your classroom. Talking Points The stages help teachers focus their energy Writing an 'Echo' Problem String Write an 'Up the Ante' Problem String Sequencing Strings Sequencing different routines within a task Sequencing Tasks Understand the progression of models Understand the connections between strat...
Jul 30, 2024•22 min•Ep. 215
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on July 24, 2024. 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 ...
Jul 25, 2024•4 min
You've worked hard to build your numeracy and already own the strategies and models for your operation that you're working on. What's next? In this episode Pam and Kim discuss Teacher Moves, the fourth stage on the Success Map. Talking Points: Differentiate for teachers' needs like they differentiate for students Great teacher moves are only helpful when there's great math conversations happening Model teacher moves in professional development Using a private signal Using a neutral response Usin...
Jul 23, 2024•20 min•Ep. 214
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on July 17, 2024. 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 ...
Jul 18, 2024•5 min
Ready to chat about the next layer of the Success Map? In this episode Pam and Kim discuss using your understanding of the relationships to represent student thinking. Talking Points: The stages layer and build on each other Different stages for different areas of math you are working on Use your own understanding of relationships to choose the best model to represent relationships Problem String vs Problem Talk, with purpose Learn to listen to, elicit, and represent thinking at every opportunit...
Jul 16, 2024•18 min•Ep. 213
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on July 10, 2024. 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 ...
Jul 11, 2024•5 min
What's next on the landscape for teachers after they've built their own math understanding in a particular area? In this episode Pam and Kim discuss math for teaching, the next layer on the Success Map that teachers should consider as they are learning how to make math more figure-out-able for themselves and their students. Talking Points: Math for teaching is different body of math than the math anyone does Understanding and naming the major strategies and models for each operation Judiciously ...
Jul 09, 2024•21 min•Ep. 212
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on July 3, 2024. 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 o...
Jul 04, 2024•6 min
What does a landscape look like for teachers trying to develop their skills to facilitate real math? In this episode Pam and Kim discuss one stage of the Success Map. Talking Points: Teachers, like students, are in different places in their journey in teaching real math. Designing the Success Map was not trivial Building your own Numeracy - a starting point The Success Map journey is cyclical What are the major milestones in develping numeracy? Solving problems using relationships Understanding ...
Jul 02, 2024•22 min•Ep. 211
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 26, 2024. 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 ...
Jun 27, 2024•4 min
How can students gain fact fluency in a productive, fun way? In this episode Pam and Kim discuss Number Hive, a game that builds students multiplication fact fluency. Talking Points: Product Game is great, but Number Hive is even better How to play Number Hive Who will win? Kim or Pam? A product approach to multiplication by considering factor pairs Opportunities for great classroom discussion Low cost of failure Number Hive is flexible with lots of variety and levels Check out our social media ...
Jun 25, 2024•22 min•Ep. 210
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 19, 2024. 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 ...
Jun 20, 2024•6 min
Developing multiplicative reasoning, let alone learning multiplication facts, has never been more fun. In this episode Pam and Kim discuss Stick and Split, a simple digital game your students or own kids can explore to learn multiplication in a whole new way. Talking Points: We don't recommend products lightly - Stick and Split is amazing! Taking the product approach - How is that different? Noticing the commutative property Using common factors as tools What do the levels look like? Check out o...
Jun 18, 2024•32 min•Ep. 209
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 12, 2024. 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 ...
Jun 13, 2024•6 min
What does it look like when students confidently and efficiently reason through fraction multiplication problems? In this episode Pam and Kim discuss more sophisticated and efficient strategies for solving fraction multiplication problems. Talking Points: How to model the commutative property in fraction multiplication. How to reasoning through "slash and burn". In a classroom, we would expect for students to have a variety of strategies to solve a rich problem. It's not about multiple represent...
Jun 11, 2024•26 min•Ep. 208
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 5, 2024. 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 o...
Jun 06, 2024•7 min
Can students reason through fraction multiplication beyond unit fractions? In this episode Pam and Kim finish out last week's Problem String and build on those relationships to reason through more complex fraction multiplication problems. Talking Points: Can building Additive and Multiplicative reasoning with whole numbers help with fraction multiplication? Does the area model just explain a procedure or can you actually reason with it? How does building reasoning about multiplying fractions usi...
Jun 04, 2024•23 min•Ep. 207
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 29, 2024. 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 o...
May 30, 2024•5 min
This week we're kicking off our series on fraction multiplication! In this episode Pam and Kim describe a classroom's experience discovering unit fraction multiplication. Talking Points: We sometimes have to hear something multiple times for it to "click" What is 1/4 of 1/5? Suggestions for modeling fractions and why Layers of Reunitizing How memorized procedures can work against students Explicit teaching the use of a model is actually teaching a procedure Check out our social media Twitter: @P...
May 28, 2024•38 min•Ep. 206
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 22, 2024. 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 o...
May 23, 2024•4 min
When should students use calculators? In this episode Pam and Kim discuss how to help students determine when and for what reasons to turn to technology. Talking Points Help students learn judicious use of technology Great game: Beat the Calculator Do you know enough to put that in your calculator? What about competition? What about speed? An easy extension for Beat the Calculator Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics e...
May 21, 2024•27 min•Ep. 205
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 15, 2024. 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 o...
May 16, 2024•4 min
