We think Dr. Peter Liljedahl has some great ideas about how to keep students thinking and reasoning in math class. In this episode Pam and Kim continue to discuss some of his ideas and how they align with the Math is Figure-Out-Able mindset. Talking Points: Which questions to answer Get in, get out Approach groups with your own question Using neutral responses Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pa...
Jul 04, 2023•28 min•Ep. 159
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 28, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of ...
Jun 29, 2023•5 min
We love it when students are thinking and reasoning, and it's important to know how best to build and experience sophisticated strategies. In this episode Pam and Kim continue discussing Dr. Peter Liljedahl's work and finetune where it's appropriate to use vertical nonpermanent surfaces, and what other kind of tasks we should be doing whole class with students. Talking Points: Randomized Groups at Vertical Non Permanent Surfaces in random groups are great for Rich Tasks that follow your curricul...
Jun 27, 2023•19 min•Ep. 158
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 21, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of ...
Jun 22, 2023•6 min
We want our students to be confident problem solvers who can think and reason through complex problems. In this episode, Pam and Kim highlight some of Dr. Peter Liljedahl's work on Building Thinking Classrooms to use student's natural inclinations to help them work better and more collaboratively. Talking Points: It's about thinking, not mimicking Thinking Tasks not mimicking tasks Vertical Non Permanent Surfaces Visibly random groups It takes time for kids to accept working in random groups Pul...
Jun 20, 2023•16 min•Ep. 157
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 14, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of ...
Jun 15, 2023•6 min
We've reached our third anniversary of the podcast! There's a lot that's been said, so we thought we'd highlight some of the quintessential Pam Harris topics from previous episodes that you need to transform your math classroom. In this episode Pam and Kim blitz through what makes the Math is Figure-out-able Movement so important and unique. They also list out which episodes you can listen to for more information about these key concepts. Talking Points: The Development of Mathematical Reasoning...
Jun 13, 2023•26 min•Ep. 156
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on June 7, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of o...
Jun 08, 2023•7 min
Can kids reason about fraction division? In this episode Pam and Kim explore the definition of fractions through a Problem String and show how you can help students build experiences so that fraction division is a natural outcome. Talking Points: Can students reason about 1/25 divided by 4? Dividing parts of candy bars Problem String experience Discovering the definition of fractions Kids can intuit! See Episodes 142-144 for more about fraction division. Check out our social media Twitter: @PWHa...
Jun 06, 2023•35 min•Ep. 155
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 31, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of o...
Jun 01, 2023•6 min
It's exciting to watch our students gain confidence and mathematize with the best of them, but what about next year? In this episode Pam and Kim discuss how you can communicate expectations to students and teachers alike to embolden your students that math will always be figure-out-able. Talking Points: What is your job for this year? What do students need to know leaving your classroom to prepare for them for next year? What does the teacher for next year need to know about your kids coming to ...
May 30, 2023•22 min•Ep. 154
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 24, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of o...
May 25, 2023•6 min
How sophisticated is your multiplicative reasoning? In this episode Pam and Kim build Flexible Factoring and show how powerful understanding can be! Talking Points: We love hearing from listeners! A Problem String Develping distributive, associative and commutative properties Where does Flexible Factoring fit into Multiplicative Reasoning? Why understanding and owning multiplication facts is more powerful than memorization For more information about the Development of Mathematical Reasoning, see...
May 23, 2023•26 min•Ep. 153
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 17, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of o...
May 18, 2023•5 min
How do you naturally approach math problems? How do you wish you would naturally approach problems? In this episode Pam and Kim discuss how we as teachers and our students can form powerful new habits to become better mathematicians. Talking Points: We all have habits based on our own experiences Can we change our old habits? Is it easy to change old habits? Do you have to know the most efficient strategy when you start messing with a problem? Can you change your mind about which strategy you wa...
May 16, 2023•21 min•Ep. 152
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 10, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of o...
May 11, 2023•6 min
How can we help students own subtraction facts? In this episode Pam and Kim describe some basic strategies and then walk us through facilitating two Problem Strings to build subtraction relationships. Talking Points: I Have, You Need - see Episode 7 for more on I Have, You Need Patterns in a subtraction chart Generalizing about subtracting 9 Noticing differences of 1 or 2 Diagonal patterns of Constant Difference Subtracting to 10 Problem String Using Doubles Problem String Check out our social m...
May 09, 2023•36 min•Ep. 151
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on May 3, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of ou...
May 04, 2023•5 min
We're digging deep into subtraction! In this episode Pam and Kim talk about what they mean by "memorizing" single digit subtraction facts and the relationships that can empower students to own single digit facts and apply the same relationships to more sophisticated numbers as well. Talking Points: The different meanings of "memorize the facts" Relying on rote memory of facts in isolation leaves students with no other recourse "No timed drills" does not mean no work on facts, but different work ...
May 02, 2023•28 min•Ep. 150
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 26, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of...
Apr 27, 2023•9 min
There's so much power to understanding subtraction that extends all the way to higher math. In this episode Pam and Kim discuss beginning steps to help students develop an understanding of subtraction, preparing them for success. Talking Points: How does I Have, You Need apply to subtraction? Subtracting across zeros is a beast! So what do we do? Where subtraction helps in multiplication, division and beyond Understanding removal versus difference Why is this important for higher math? What happ...
Apr 25, 2023•37 min•Ep. 149
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 19, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of...
Apr 20, 2023•7 min
Establishing a strong understanding of the area model also prepares students for more advanced topics all the way into college! In this episode, Pam and Kim describe how useful the area model is as a foundation for further understanding throughout a student's learning career. Talking Points: Using the area model builds intuition of the distributive property Using and understanding the area model for fraction multiplication Paradigm shift for teachers to think about what students know about whole...
Apr 18, 2023•24 min•Ep. 148
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 12, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of...
Apr 13, 2023•8 min
The area model can do more than build Spatial Reasoning. It can help make sense of the major multiplication and division strategies! In this episode Pam and Kim use a Problem String to show how reasoning about area can build more sophisticated and efficient multiplicative relationships. Talking Points: Multiplication is about grouping groups The area model can help make sense of multiplicative relationships and properties Choose and celebrate efficient strategies Reasoning about area makes relat...
Apr 11, 2023•24 min•Ep. 147
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 5, 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of ...
Apr 06, 2023•7 min
The area model is a great tool to help students develop multiplicative and spatial reasoning, but let's get clear on some things. In this episode Pam and Kim discuss some of the common misconceptions about the area model and show how it can be used help students make connections between area and multiplication. Talking points: What is an area model? Common misunderstanding around an area model Place Value Partial Products vs Smart Partial Products Rote memorizing perspective vs Math-is-figureout...
Apr 04, 2023•28 min•Ep. 146
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of...
Mar 30, 2023•7 min
There are a lot of small shifts needed in math education, and they can have huge impacts. In this episode Pam and Kim talk about some of these shifts that will be included in the new mini workshop. This workshop will help you address the most important things to get right as a math teacher. Talking Points: Algorithms verses strategies Models verses strategies Common vocabulary A few major relationships lead to the major strategies Problem Strings versus Problem Talks Major Strategies ebook Check...
Mar 28, 2023•23 min•Ep. 145
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 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: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of...
Mar 23, 2023•5 min
