Join Pam and Kim in part two of their Top 3 Things to Start the Year series. This week its all about building a classroom culture where students and students' thinking is valued. They'll talk about how to implement and facilitate familiar tasks and routines remotely and throw out some great advise  that build a community of learners. You won't want to miss it!
Talking Points:

• Building classroom culture is no less important in remote settings
• Keeping the Math Practice Standards in mind as remote learning occurs
• Designing interactive remote learning tips and ideas
• How to facilitate Problem Strings remotely
• How to facilitate Rich Tasks remotely

Check out Episodes 114 of this podcast for more ideas about starting your school 

Resources:
How Pam uses her iPad to facilitate Problem Strings remotely:  https://www.mathisfigureoutable.com/how 

As the world prepares for one of the most interesting beginnings to the school year, Pam and Kim are here to help us get it right. They start off this 3 part series by dialing in on the importance of using students' names to help them feel seen, acknowledged, and valued. 
Talking Points:

• Pam's maternal mathy person
• How Pam learns students' names
• Tips for learning students' names
• Useful tools and tips for using students' names in a remote setting
• How to help students use each others names

Check out Episodes 114 of this podcast for more ideas about starting your school 

Resources: Name Tents from Sarah Van Der Werf:  https://www.saravanderwerf.com/week-1-day-1-name-tents-with-feedback/

What is the difference between a strategy and a model? Listen as Pam and Kim define strategies and models and explain the difference. They also give examples from both elementary and high school content to demonstrate the importance of developing strategies and using models to communicate those strategies. 
Talking Points:

• Shoutout to Clay! Clay uses powerful additive reasoning when he uses his understanding of place value to add large numbers. Let us know about someone mathy in your life!
• New Problem String videos!
• What is a strategy? What is a model?
• Examples of strategies and related models
• Which is more important, models or strategies?
• Why are models so important to help students build relationships?
• Helping students understand strategy vs. models

Additional Resources
Strategies vs Models Article
Strategy vs Models Card Sorts

After last weeks discussion on partners of 10, 100, and 1000, Pam and Kim thought of more habits "mathy people" have in common. Listen in as they discuss three fun things mathematicians do.
Talking Points:

• Mathematicians "Notice and Wonder"
• Mathematicians double and halve numbers
• Creating habits of thinking (as opposed to grabbing for a calculator)
• Check out MathStratChat on Wednesday evenings.

In this episode Pam and Kim share one of their favorite instructional routines: I Have, You Need. They discuss some of the most common patterns that mathematicians play with, partners of 10, 100, and 1000. These "partners of ___ " patterns pop up everywhere! You'll never guess where they pop up daily for Pam (hint: its when she's the most worked up).

Try out I Have, You Need with your friends, colleagues, and students! A quick way to build anyone's reasoning abilities and to help us all become better mathematicians.
Download the guide to playing I Have, You Need  HERE

Talking Points:  

• We can all be "mathy people"
• What Kim thinks when she hears the number 36
• The most important routine in Pam's university class
• Pam and Kim play I Have, You Need
• Taking ownership of your students' learning
• Tips for playing I Have, You Need
• I Have, You Need resolves the subtracting across zero horror
• How I Have, You Need applies to middle and high school students

Check out Episodes 121 and 260 of this podcast for more about using I Have, You Need to develop the major strategies.

See also Episode 164 for more information about I Have, You Need.

Reasoning and numeracy doesn't come to an end in highschool! Can we mathematize algebraic concepts? What is Functional Reasoning? Listen as Pam explains how Functional Reasoning builds off of Proportional Reasoning and empowers students to analyze and understand patterns of related value sets. Sounds complicated? Don't worry, Kim does her best to keep Pam on track and grounded. 
Talking Points:

• What is Proportional Reasoning: unit rates and non-unit rates
• How Functional Reasoning builds on Proportional Reasoning: slope, transformations, rational functions
• It's not about being able to visualize a static graph, it's understanding the relationship between the variables
• How to tell if someone is using Functional Reasoning

This episode is so important! Pam and Kim describe the Development of Mathematical Reasoning, and how it transforms our understanding of what it means to learn and teach mathematics. They discuss how freeing it feels to know that everyone can develop their reasoning, and how the Development of Mathematical Reasoning empowers teachers to know how best to help their students. Stay tuned to the end for the big announcement!
Talking Points:

• What is The Development of Mathematical Reasoning and the different kinds of reasoning?
• We don't need calculators, we need reasoners
• Are we stuck where we are or can we develop more sophisticated reasoning?
• Use the free download How Do You Reason guide to know how you, your friends, and students are reasoning.
• Announcing the new Development of Mathematical Reasoning Workshop!  

See episode 61 for more about tools to help students develop reasoning

Click here: A new free online workshop. So exciting! Be sure to tell all your colleagues about this amazing opportunity to learn how to help anyone develop reasoning. 

Who's shaping math education today? Does Pam come up with it all herself? Far from it! In her fourth episode Pam wanted to pay homage to her top 10 influencers as well as share with you all some of her favorite resources for teaching Real Math. Join Pam and Kim as they share stories ranging from the excitement of the first graphing calculators to the embarrassment of mispronouncing their hero's name. It's sure to be a good time. 
Talking Points:

• Who were Pam's early influencers?
• (Janie Schielack, Marilyn Burns, Investigations in Data, Number and Space, Cathy Fosnot and Martin Dolk, Pam Giles, TCubed, Jerry Murdoch)
• Who is shaping Pam's math journey today?
• (Cathy Fosnot,  Desmos, MTBOS, Peter Liljedahl, Jo Boaler, university students and teachers) 
• Desmos' card sorts and polygraphs: excellent tools for remote teaching.

When we read, we are reading. When we write, we are writing. What is the verb for doing math?  Pam and Kim continue from Episode 2 to discuss what it means to do and teach Real Mathematics.  Listen in as they discuss what mathematicians really do, and how teachers can mentor students as mathematicians.
Talking Points:

• What does "Math is Figure-Out-Able" mean?
• What are Real Math and fake math?
• What do real mathematicians do?
• What is mathematizing?
• What does it mean to mentor students as mathematicians?

What is 99 plus anything? What is 99 times anything? How can you use relationships to solve those problems? In this episode, Pam and Kim talk about how Real Math is not about mimicking an algorithm, but rather about letting the numbers and the structure dictate the strategy. Teaching Real Math is about listening to students - that you must know your content, and know your kids.
Talking Points:

• What are Algorithms? 
• Do mathematicians typically use algorithms?
• What does Pam mean when she says it's not about the algorithm?
• You have to know your content, know your kids
• If not algorithms, what is Pam's goal?
• Kim's Over strategy for addition and multiplication
• What is 99 + anything?