Talking points:

- Are alternative strategies worth learning?
- What does it mean to do mental math?
- How to make mental math accessible for everyone.
- What is a Problem String?
- The _____ strategy

Talking points:

- Are alternative strategies worth learning?
- What does it mean to do mental math?
- How to make mental math accessible for everyone.
- What is a Problem String?
- The _____ strategy

Talking points:

- Math over the holidays
- Finger Flashing
- Which One Doesn't Belong
- Adding 10, 9, 99, 999 to anything
- How listening and engaging with students informs assessment

Additional resources: https://talkingmathwithkids.com, https://mathbeforebed.com

]]>Talking points:

- Math over the holidays
- Finger Flashing
- Which One Doesn't Belong
- Adding 10, 9, 99, 999 to anything
- How listening and engaging with students informs assessment

Additional resources: https://talkingmathwithkids.com, https://mathbeforebed.com

]]>Talking Points:

- What are ratio tables?
- How to, and not to, use ratio tables in the classroom
- Using ratio tables to organize data
- Using ratio tables to model thinking
- Using ratio tables for computation
- Example multiplication and division problems

Use this PDF to follow along with Pam and Kim's thinking!

]]>Talking Points:

- What are ratio tables?
- How to, and not to, use ratio tables in the classroom
- Using ratio tables to organize data
- Using ratio tables to model thinking
- Using ratio tables for computation
- Example multiplication and division problems

Use this PDF to follow along with Pam and Kim's thinking!

]]>Talking Points:

- How do each of the perspectives benefit from real math?
- All people can do more real math than fake math
- What pitfalls do each of the perspectives have to avoid when teaching real math?

Take the XYZ quiz here! mathisfigureoutable.com/XYZ

Find this episode's transcript HERE.

Talking Points:

- How do each of the perspectives benefit from real math?
- All people can do more real math than fake math
- What pitfalls do each of the perspectives have to avoid when teaching real math?

Take the XYZ quiz here! mathisfigureoutable.com/XYZ

Find this episode's transcript HERE.

Talking Points

- What describes the Y perspective?
- How adults with the Y perspective feel about mathematics
- Why teaching real math is so important

Take the XYZ quiz here! mathisfigureoutable.com/XYZ

]]>Talking Points

- What describes the Y perspective?
- How adults with the Y perspective feel about mathematics
- Why teaching real math is so important

Take the XYZ quiz here! mathisfigureoutable.com/XYZ

]]>Talking Points

- Pam forgot how to subtract
- What is the Z perspective?
- How do Z-perspective students think?
- Pam's first experience with Math Club
- How can understanding the Z perspective empower teachers?
- Take the new XYZ Quiz!

Talking Points

- Pam forgot how to subtract
- What is the Z perspective?
- How do Z-perspective students think?
- Pam's first experience with Math Club
- How can understanding the Z perspective empower teachers?
- Take the new XYZ Quiz!

Talking Points

- What is the X perspective?
- Why X-perspective teachers teach with algorithms
- The 'math-gene' myth
- How X-perspective teachers can choose to teach real math
- Take the new XYZ Quiz!

Read the transcript for this episode at podcast.mathisfigureoutable.com

]]>Talking Points

- What is the X perspective?
- Why X-perspective teachers teach with algorithms
- The 'math-gene' myth
- How X-perspective teachers can choose to teach real math
- Take the new XYZ Quiz!

Read the transcript for this episode at podcast.mathisfigureoutable.com

]]>Talking Points:

- The three perspectives impacting pedagogy
- Why math teachers can often talk past each other
- Take the new xyz QUIZ!

Find this episodes transcript HERE

]]>Talking Points:

- The three perspectives impacting pedagogy
- Why math teachers can often talk past each other
- Take the new xyz QUIZ!

Find this episodes transcript HERE

]]>Talking Points

- The commutative property in counting
- The commutative property in addition
- Using the commutative property for percentages

Find the transcript HERE

]]>Talking Points

- The commutative property in counting
- The commutative property in addition
- Using the commutative property for percentages

Find the transcript HERE

]]>Talking Points:

- Introducing the swapping strategy
- What problems fit nicely with the swapping strategy?
- Place labeling vs. Place value
- Send us (@pwharris) your slick swapping strategy solutions to gnarly looking problems!

Transcript: http://podcast.mathisfigureoutable.com/1062400/6371821-ep-22-the-swapping-strategy

]]>Talking Points:

- Introducing the swapping strategy
- What problems fit nicely with the swapping strategy?
- Place labeling vs. Place value
- Send us (@pwharris) your slick swapping strategy solutions to gnarly looking problems!

Transcript: http://podcast.mathisfigureoutable.com/1062400/6371821-ep-22-the-swapping-strategy

]]>Talking Points

- The three types of percent problems
- The disadvantages of teaching procedural methods to answer percent problems
- Math is fun when it's figure-out-able!

Talking Points

- The three types of percent problems
- The disadvantages of teaching procedural methods to answer percent problems
- Math is fun when it's figure-out-able!

Talking Points

- Why kids of today are more familiar with percentages
- Why flexibility matters
- How to become more flexible using different representations of rational numbers

Talking Points

- Why kids of today are more familiar with percentages
- Why flexibility matters
- How to become more flexible using different representations of rational numbers

Talking Points:

- How to add Butt-Cheeks
- Why students try 'canceling' everything
- Why reducing 6/8ths to 3/4s might give me more pie...?
- How one got over x.

Talking Points:

- How to add Butt-Cheeks
- Why students try 'canceling' everything
- Why reducing 6/8ths to 3/4s might give me more pie...?
- How one got over x.

Talking Points:

- What is the difference between social and logical knowledge?
- What are examples of social knowledge in lower and higher math?
- How should we teach social knowledge?
- How should we teach logical knowledge?

Talking Points:

- What is the difference between social and logical knowledge?
- What are examples of social knowledge in lower and higher math?
- How should we teach social knowledge?
- How should we teach logical knowledge?

Talking Points:

- How different languages name numbers
- How to support young learners to make sense of teens and multi-digit numbers
- Give kids multiple representations of single-digits numbers.
- Pam being creepy at grocery stores

Find the transcript here: http://podcast.mathisfigureoutable.com/1062400/5723239-ep-16-the-language-of-counting

]]>Talking Points:

- How different languages name numbers
- How to support young learners to make sense of teens and multi-digit numbers
- Give kids multiple representations of single-digits numbers.
- Pam being creepy at grocery stores

Find the transcript here: http://podcast.mathisfigureoutable.com/1062400/5723239-ep-16-the-language-of-counting

]]>Talking Points

- The dangers of teaching "Problem Solving Methods"
- How to engage students in mathematics so that problem solving is a natural outcome
- How to run students through numberless word problems

Resources: Brain Bushart's Numberless Word Problems

Talking Points

- The dangers of teaching "Problem Solving Methods"
- How to engage students in mathematics so that problem solving is a natural outcome
- How to run students through numberless word problems

Resources: Brain Bushart's Numberless Word Problems

Talking Points

- I Have, You Need
- Kids Menus vs Adult Menus
- the Guess my Number game
- How do you think about finding Prime Numbers?
- Math can be fun!

Talking Points

- I Have, You Need
- Kids Menus vs Adult Menus
- the Guess my Number game
- How do you think about finding Prime Numbers?
- Math can be fun!

Talking Points

- Building your own math
- Know the major strategies and models for your content
- Modeling Student Thinking
- Teacher Moves
- Sequencing Tasks

Resources: Journey

Talking Points

- Building your own math
- Know the major strategies and models for your content
- Modeling Student Thinking
- Teacher Moves
- Sequencing Tasks

Resources: Journey

Talking Points:

- One meaning for having integrity in your teaching
- How intentional use of worksheets & resources can illustrate your teaching beliefs
- Determine your system of beliefs

Transcript **HERE**

Talking Points:

- One meaning for having integrity in your teaching
- How intentional use of worksheets & resources can illustrate your teaching beliefs
- Determine your system of beliefs

Transcript **HERE**

Talking Points

- Building classroom culture is so important in remote settings
- When classmates respect each other's thinking, more students are enabled to think like mathematicians.
- Designing interactive remote learning
- How to facilitate Problem Strings remotely
- How to facilitate Rich Tasks remotely

Resources

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

Talking Points

- Building classroom culture is so important in remote settings
- When classmates respect each other's thinking, more students are enabled to think like mathematicians.
- Designing interactive remote learning
- How to facilitate Problem Strings remotely
- How to facilitate Rich Tasks remotely

Resources

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

Talking Points:

- A
*maternal*mathy person - How Pam learns student names
- Useful tools and tips for using student names in a remote setting
- How to help students use each others names

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

Talking Points:

- A
*maternal*mathy person - How Pam learns student names
- Useful tools and tips for using student names in a remote setting
- How to help students use each others names

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

Talking Points

- Shout-out 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?
- Which is more important, models or strategies?
- Why are models so important in classrooms?
- Can anyone "do" a number line?

**Resources**

Strategies vs Models Article

Strategy vs Models Card Sorts

Transcript

Talking Points

- Shout-out 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?
- Which is more important, models or strategies?
- Why are models so important in classrooms?
- Can anyone "do" a number line?

**Resources**

Strategies vs Models Article

Strategy vs Models Card Sorts

Transcript

1. What it means for mathematicians to "Notice and Wonder"

2. Double and halving

3. Creating habits of thinking (as opposed to grabbing for a calculator)

Tune in to next week's episode to hear all about Pam's method of categorizing levels of mathematical thinking, what she calls "The Development of Mathematical Reasoning".

Find this episode's transcript

Talking Points

- The prime numbers in your neighborhood
- The Wonder Game
- Math-Strat-Chat
- Our first shout-out

1. What it means for mathematicians to "Notice and Wonder"

2. Double and halving

3. Creating habits of thinking (as opposed to grabbing for a calculator)

Tune in to next week's episode to hear all about Pam's method of categorizing levels of mathematical thinking, what she calls "The Development of Mathematical Reasoning".

Find this episode's transcript

Talking Points

- The prime numbers in your neighborhood
- The Wonder Game
- Math-Strat-Chat
- Our first shout-out

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

Talking Points:

- We can all be "mathy people"
- What Kim thinks when she hears the number 36
- The routine that made the biggest impact on Pam's college students
- Taking ownership of your students' progression
- I Have, You Need resolves the subtracting across zero horror
- How I Have, You Need applies to middle and high school students

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

Talking Points:

- We can all be "mathy people"
- What Kim thinks when she hears the number 36
- The routine that made the biggest impact on Pam's college students
- Taking ownership of your students' progression
- I Have, You Need resolves the subtracting across zero horror
- How I Have, You Need applies to middle and high school students

Talking Points

- How functional reasoning builds on proportional reasoning
- It's not about being able to visualize the graph, it's understanding the relationship between the variables
- How to tell if someone is using functional reasoning

Talking Points

- How functional reasoning builds on proportional reasoning
- It's not about being able to visualize the graph, it's understanding the relationship between the variables
- How to tell if someone is using functional reasoning

To help you determine where you and your students are in the Development of Mathematical Reasoning, here's a free download! Use the

They also announce the new Development of Mathematical Reasoning Workshop!

Talking Points

- What the Development of Mathematical Reasoning looks like
- We don't need calculators, we need reasoners
- One way people get stuck in counting strategies
- The freeing power of progressing in reasoning
- New free online workshop!

Read the transcript here: http://podcast.mathisfigureoutable.com/1062400/4305047-the-development-of-mathematical-reasoning

]]>To help you determine where you and your students are in the Development of Mathematical Reasoning, here's a free download! Use the

They also announce the new Development of Mathematical Reasoning Workshop!

Talking Points

- What the Development of Mathematical Reasoning looks like
- We don't need calculators, we need reasoners
- One way people get stuck in counting strategies
- The freeing power of progressing in reasoning
- New free online workshop!

Read the transcript here: http://podcast.mathisfigureoutable.com/1062400/4305047-the-development-of-mathematical-reasoning

]]>Talking Points

- Who were Pam's early influencers?
- How teacher moves transform Rich Tasks
- Who is shaping math education today?
- Fos-dos and Fos-nots
- Desmos' card sorts and polygraphs: excellent tools for remote teaching.

Talking Points

- Who were Pam's early influencers?
- How teacher moves transform Rich Tasks
- Who is shaping math education today?
- Fos-dos and Fos-nots
- Desmos' card sorts and polygraphs: excellent tools for remote teaching.

Talking Points

- What Pam means when she says Math is Figure-Out-Able
- Mathematicians do not mimic to do math, they use their understanding of mathematical relationships
- What does it mean to mentor students to become mathematicians at their gradelevel?

Find the transcript here:

http://podcast.mathisfigureoutable.com/1062400/3887888-mentoring-mathematicians

Talking Points

- What Pam means when she says Math is Figure-Out-Able
- Mathematicians do not mimic to do math, they use their understanding of mathematical relationships
- What does it mean to mentor students to become mathematicians at their gradelevel?

Find the transcript here:

http://podcast.mathisfigureoutable.com/1062400/3887888-mentoring-mathematicians

Talking Points:

- What are Algorithms? Why are they not Pam's goal?
- How mathematicians approach problem solving
- What is 99 + anything?

Find the transcript here: http://podcast.mathisfigureoutable.com/1062400/3887876-math-does-not-equal-algorithms

]]>Talking Points:

- What are Algorithms? Why are they not Pam's goal?
- How mathematicians approach problem solving
- What is 99 + anything?

Find the transcript here: http://podcast.mathisfigureoutable.com/1062400/3887876-math-does-not-equal-algorithms

]]>As Pam and Kim describe their relationship they touch on these principles:

- It is fun to teach math that is figureoutable
- People have had different experiences with math, but everyone can learn to mathematize
- They define what it means to mathematize
- The difference between Real Snacks and Fake Snacks
- Reasoning can be refined and there are strategies which are more elegant than others
- Professional Development should be uplifting and empowering
- This podcast is for everybody!

Find the transcript here: http://podcast.mathisfigureoutable.com/1062400/3614602-math-is-figureoutable

]]>As Pam and Kim describe their relationship they touch on these principles:

- It is fun to teach math that is figureoutable
- People have had different experiences with math, but everyone can learn to mathematize
- They define what it means to mathematize
- The difference between Real Snacks and Fake Snacks
- Reasoning can be refined and there are strategies which are more elegant than others
- Professional Development should be uplifting and empowering
- This podcast is for everybody!

Find the transcript here: http://podcast.mathisfigureoutable.com/1062400/3614602-math-is-figureoutable

]]>