Talking Points:

- It's not about speed
- Doubles are important
- The shoe game
- The doubles game
- Near doubles
- Ten-and

Check out the patterns we talked about here:

mathisfigureoutable.com/addrelationships

And don't miss registration for one our deep dive workshops! https://www.mathisfigureoutable.com/workshops

Talking Points:

- It's not about speed
- Doubles are important
- The shoe game
- The doubles game
- Near doubles
- Ten-and

Check out the patterns we talked about here:

mathisfigureoutable.com/addrelationships

And don't miss registration for one our deep dive workshops! https://www.mathisfigureoutable.com/workshops

Talking Points

- Connecting the concrete and pictorial experiences to symbolic representation.
- Tips for using flash cards and addition table.
- Noticing patterns can reduce the number of addition facts a student needs to fuss with.
- The role the commutative property plays learning addition facts.
- When is counting ok.
- Learning to trust the commutative property.
- Students need experience, lots of it.

Register for the You Can Change Math Class Challenge here: https://www.mathisfigureoutable.com/change

You can also register for a deep dive workshop today! Go to https://www.mathisfigureoutable.com/workshops to learn more.

Talking Points

- Connecting the concrete and pictorial experiences to symbolic representation.
- Tips for using flash cards and addition table.
- Noticing patterns can reduce the number of addition facts a student needs to fuss with.
- The role the commutative property plays learning addition facts.
- When is counting ok.
- Learning to trust the commutative property.
- Students need experience, lots of it.

Register for the You Can Change Math Class Challenge here: https://www.mathisfigureoutable.com/change

You can also register for a deep dive workshop today! Go to https://www.mathisfigureoutable.com/workshops to learn more.

Talking Points:

- This series is for all grade level teachers!
- Is speed or quick recall important?
- Our goal: rote memorization or number relationships?

Learn more at bit.ly/pharrisinfo.

Don't forget to just the You Can Change Math Class Challenge at https://www.mathisfigureoutable.com/change!

Talking Points:

- This series is for all grade level teachers!
- Is speed or quick recall important?
- Our goal: rote memorization or number relationships?

Learn more at bit.ly/pharrisinfo.

Don't forget to just the You Can Change Math Class Challenge at https://www.mathisfigureoutable.com/change!

Talking Points

- Highlighting mathematical behavior
- Goals to set to build a culture of mathematizing in your classroom
- Hey Australia! We appreciate you!

Talking Points

- Highlighting mathematical behavior
- Goals to set to build a culture of mathematizing in your classroom
- Hey Australia! We appreciate you!

Talking Points:

- Cooking
- Holiday Money
- Dinner Games
- Planning
- Car Games

Talking Points:

- Cooking
- Holiday Money
- Dinner Games
- Planning
- Car Games

Favorite Games:

- Prime Climb
- Multi (by joyfulmathematics.com)
- Tiny Polka Dot
- Qwixx
- Set
- Proof
- Mastermind
- Sequence
- Rack-O
- High Ho Cherrio

Favorite Games:

- Prime Climb
- Multi (by joyfulmathematics.com)
- Tiny Polka Dot
- Qwixx
- Set
- Proof
- Mastermind
- Sequence
- Rack-O
- High Ho Cherrio

Resources:

- Find examples of Relational Thinking problems here: https://www.mathisfigureoutable.com/relational-thinking
- Find our Developing Mathematical Reasoning info graphics here: https://www.mathisfigureoutable.com/blog/development-4

Resources:

- Find examples of Relational Thinking problems here: https://www.mathisfigureoutable.com/relational-thinking
- Find our Developing Mathematical Reasoning info graphics here: https://www.mathisfigureoutable.com/blog/development-4

Talking Points

- A routine to help students learn to estimate
- Common pitfalls
- Where to find help for your classroom

Learn more about this powerful routine here: https://www.mathisfigureoutable.com/instructionalroutines

]]>Talking Points

- A routine to help students learn to estimate
- Common pitfalls
- Where to find help for your classroom

Learn more about this powerful routine here: https://www.mathisfigureoutable.com/instructionalroutines

]]>Talking Points:

- The problem with labels
- What do we believe about learning?
- We have the opportunity to give students more experience

Talking Points:

- The problem with labels
- What do we believe about learning?
- We have the opportunity to give students more experience

Talking Points

- We need to know more than our standards
- Why we need to take the long view
- How knowing our students affects our day to day teaching

Talking Points

- We need to know more than our standards
- Why we need to take the long view
- How knowing our students affects our day to day teaching

]]>

]]>

Talking Points

- Use purposefully crafted Problem Strings
- Purposefully choose who shares
- The importance of modeling students' thinking
- It's not about learning the steps

Talking Points

- Use purposefully crafted Problem Strings
- Purposefully choose who shares
- The importance of modeling students' thinking
- It's not about learning the steps

- Defining Problem Strings
- How to recognize a Problem String
- How are Problem Strings facilitated?

Find examples of Problem Strings (including video!) at https://www.mathisfigureoutable.com/ps

]]>- Defining Problem Strings
- How to recognize a Problem String
- How are Problem Strings facilitated?

Find examples of Problem Strings (including video!) at https://www.mathisfigureoutable.com/ps

]]>Talking Points:

- Problem Strings are open access
- Algebra is figure-out-able!!

Talking Points:

- Problem Strings are open access
- Algebra is figure-out-able!!

Talking Points:

- The importance of working with intuition
- Finding the equation of a line without formulas
- Intuitively finding the equation of a line in standard form.

Talking Points:

- The importance of working with intuition
- Finding the equation of a line without formulas
- Intuitively finding the equation of a line in standard form.

Talking points

- Solving division problems with counting strategies
- Brand new free info-graphics and videos to help you use the development in your classroom

Find the infographics here: https://www.mathisfigureoutable.com/blog/development-4

]]>Talking points

- Solving division problems with counting strategies
- Brand new free info-graphics and videos to help you use the development in your classroom

Find the infographics here: https://www.mathisfigureoutable.com/blog/development-4

]]>- It's not about answer getting, but it's not about the students doing it 'their way' either
- Our goal is increased sophistication
- We don't leave reasoning behind
- Examples!

- It's not about answer getting, but it's not about the students doing it 'their way' either
- Our goal is increased sophistication
- We don't leave reasoning behind
- Examples!

Talking Points:

- How to get the most out of math conferences
- Karim Ani
- Peter Liljedahl
- Deborah Ball
- Zaretta Hammond
- JourneyLEADER (learn more at https://www.mathisfigureoutable.com/leader)

Other people to follow: @JBayWilliams, @JohnSanGiovanni,

@ddmeyer, @joboaler, @ekazemi, @ctfosnot, @thestrokeofluck, @saravdwerf

Talking Points:

- How to get the most out of math conferences
- Karim Ani
- Peter Liljedahl
- Deborah Ball
- Zaretta Hammond
- JourneyLEADER (learn more at https://www.mathisfigureoutable.com/leader)

Other people to follow: @JBayWilliams, @JohnSanGiovanni,

@ddmeyer, @joboaler, @ekazemi, @ctfosnot, @thestrokeofluck, @saravdwerf

Talking Points

- Where do useful shared experiences come from?
- How leaders and teachers can benefit from shared experiences.
- Introducing JourneyLEADER

You can learn more about our exciting new experience for leaders at mathisfigureoutable.com/leader

]]>Talking Points

- Where do useful shared experiences come from?
- How leaders and teachers can benefit from shared experiences.
- Introducing JourneyLEADER

You can learn more about our exciting new experience for leaders at mathisfigureoutable.com/leader

]]>Talking Points:

- The importance of hydration
- Using equivalent ratios to solve gnarly division problems

Learn more about the Building Powerful Division workshop

Talking Points:

- The importance of hydration
- Using equivalent ratios to solve gnarly division problems

Learn more about the Building Powerful Division workshop

Talking Points:

- Counting is more than singing the song
- Addition requires a strong foundation of counting strategies
- C + M = ?
- Helping students become more sophisticated counters

Talking Points:

- Counting is more than singing the song
- Addition requires a strong foundation of counting strategies
- C + M = ?
- Helping students become more sophisticated counters

Talking Points

- 3 criteria for a poor model for computation
- How each not-fav model meets that criteria
- What each model is useful for

Talking Points

- 3 criteria for a poor model for computation
- How each not-fav model meets that criteria
- What each model is useful for

Talking Points

- What are Ten Frames?
- The 3 limitations to Ten Frames
- It's not just the model, it's how you use the model
- Our preferred model for transitioning from counting to additive reasoning

Talking Points

- What are Ten Frames?
- The 3 limitations to Ten Frames
- It's not just the model, it's how you use the model
- Our preferred model for transitioning from counting to additive reasoning

Talking Points:

- CGI
- How Number Bonds and Tape Diagrams are limited
- The perfect models for addition, subtraction, multiplication, and division

Talking Points:

- CGI
- How Number Bonds and Tape Diagrams are limited
- The perfect models for addition, subtraction, multiplication, and division

Talking Points:

- What are manipulatives?
- Making decisions based on our goal as teachers
- Do manipulatives embody mathematics?
- How to choose appropriate contexts

Talking Points:

- What are manipulatives?
- Making decisions based on our goal as teachers
- Do manipulatives embody mathematics?
- How to choose appropriate contexts

Talking Points:

- The different meanings for "model"
- Our modeling framework
- An example with sticks of gum
- The need to visualize students' thinking
- How our framework differs from CRA

Talking Points:

- The different meanings for "model"
- Our modeling framework
- An example with sticks of gum
- The need to visualize students' thinking
- How our framework differs from CRA

Talking Points

- We can all be mathy people
- Your attitude towards math affects your child's attitude towards math
- Allow your child more time to think and help them use what they know, instead of providing them steps to answer a problem
- Wonder aloud about math related topic, such as time and money
- Be a part of the math education at your school

See episodes 34-38 to learn more about best teaching practices for multiplication facts.

]]>Talking Points

- We can all be mathy people
- Your attitude towards math affects your child's attitude towards math
- Allow your child more time to think and help them use what they know, instead of providing them steps to answer a problem
- Wonder aloud about math related topic, such as time and money
- Be a part of the math education at your school

See episodes 34-38 to learn more about best teaching practices for multiplication facts.

]]>Talking Points:

- Reasoning about math different than performing memorized steps
- We want reasoners, not calculators
- It is difficult to capture students' thoughts on paper
- As we become aware of what's possible, we can encourage better teaching

Talking Points:

- Reasoning about math different than performing memorized steps
- We want reasoners, not calculators
- It is difficult to capture students' thoughts on paper
- As we become aware of what's possible, we can encourage better teaching

Talking Points:

- Why did the math we were taught in school look the way it did?
- How generations became technology dependent
- The need to understand mathematics for the future of innovation

Talking Points:

- Why did the math we were taught in school look the way it did?
- How generations became technology dependent
- The need to understand mathematics for the future of innovation

Talking Points:

- Jo Boaler's Data Talks: https://www.youcubed.org/resource/data-talks/
- Integrating data analytics into everyday teaching
- Solidifying your teaching philosophy. See episode 12
- The importance of good teacher partners
- Starting off the year right

Talking Points:

- Jo Boaler's Data Talks: https://www.youcubed.org/resource/data-talks/
- Integrating data analytics into everyday teaching
- Solidifying your teaching philosophy. See episode 12
- The importance of good teacher partners
- Starting off the year right

Talking Points:

- The different definitions for strategy
- Technology in classrooms

Extra resources: Which One Doesn't Belong (https://wodb.ca)

]]>Talking Points:

- The different definitions for strategy
- Technology in classrooms

Extra resources: Which One Doesn't Belong (https://wodb.ca)

]]>Highlights:

- Ep 2: Pam's stance on algorithms
- Ep 9: Defining models and strategies
- Ep 34: Memorizing multiplication facts is not the answer
- Ep 27: The students who need to know why

Highlights:

- Ep 2: Pam's stance on algorithms
- Ep 9: Defining models and strategies
- Ep 34: Memorizing multiplication facts is not the answer
- Ep 27: The students who need to know why

Talking Points:

- What denominators work well for a clock model?
- Problems that work with both money and a clock model
- Today's students need the experience from learning with a clock model

Talking Points:

- What denominators work well for a clock model?
- Problems that work with both money and a clock model
- Today's students need the experience from learning with a clock model

Talking Points:

- Use adding and subtracting fractions to help teach equivalence
- Removing the word "over" from fractions
- Equivalent fractions out of an hour
- A real math journey

Talking Points:

- Use adding and subtracting fractions to help teach equivalence
- Removing the word "over" from fractions
- Equivalent fractions out of an hour
- A real math journey

Talking Points

- Do you need time, or do you need help? (see episode 40)
- For which denominators is thinking about money helpful?
- Fractional Equivalence

Talking Points

- Do you need time, or do you need help? (see episode 40)
- For which denominators is thinking about money helpful?
- Fractional Equivalence

Talking Points

- If you understand fractional equivalence, you don't have to memorize any rules for operators of fractions
- Interchanging use of decimal and fraction notation in a part-whole scenario
- Kim's uncomfortable relationship with nickels

Talking Points

- If you understand fractional equivalence, you don't have to memorize any rules for operators of fractions
- Interchanging use of decimal and fraction notation in a part-whole scenario
- Kim's uncomfortable relationship with nickels

Talking Points:

- Splitting into unit fractions
- Patterns between same-denominator fractions
- Patterns between same-numerator fractions

Additional Sources:

]]>Talking Points:

- Splitting into unit fractions
- Patterns between same-denominator fractions
- Patterns between same-numerator fractions

Additional Sources:

]]>Talking Points:

- Simple experiences parents can use to help their kids develop fractional understanding
- Using halves to get students practice with counting

Additional sources:

]]>Talking Points:

- Simple experiences parents can use to help their kids develop fractional understanding
- Using halves to get students practice with counting

Additional sources:

]]>Talking Points

- The 5 Interpretations of Rational Numbers (Credit to Susan Lamon)
- Solving fractions with reasoning!
- Applying all 5 interpretations to one problem

Talking Points

- The 5 Interpretations of Rational Numbers (Credit to Susan Lamon)
- Solving fractions with reasoning!
- Applying all 5 interpretations to one problem

Talking Points

- Pam and Kim's results on the enneagram test.
- How to leverage your personality to get support in teaching real math

Talking Points

- Pam and Kim's results on the enneagram test.
- How to leverage your personality to get support in teaching real math

Talking Points

- Can students succeed on tests if all they know is real math?
- Everyone, in every demographic, can learn more real math than fake math
- How much time do students need to prepare for tests?
- It's all about know your content, know your kids.

Learn about numberless word problems here: https://bstockus.wordpress.com/numberless-word-problems/

Talking Points

- Can students succeed on tests if all they know is real math?
- Everyone, in every demographic, can learn more real math than fake math
- How much time do students need to prepare for tests?
- It's all about know your content, know your kids.

Learn about numberless word problems here: https://bstockus.wordpress.com/numberless-word-problems/

Talking Points:

- Pen and paper homework
- Games as homework
- Using homework as a teaching tool, not for the sake of work
- How real math changes homework dynamics

Talking Points:

- Pen and paper homework
- Games as homework
- Using homework as a teaching tool, not for the sake of work
- How real math changes homework dynamics

Talking points

- What does the research say about homework? How does it vary by gradelevel?
- What is the purpose of homework?
- How much homework should students have?
- What topics should homework cover?
- The role of students' humanity in grades and homework.

Talking points

- What does the research say about homework? How does it vary by gradelevel?
- What is the purpose of homework?
- How much homework should students have?
- What topics should homework cover?
- The role of students' humanity in grades and homework.

Talking points

- When is homework appropriate?
- What kinds of homework should we send home?
- How can homework be helpful?

Talking points

- When is homework appropriate?
- What kinds of homework should we send home?
- How can homework be helpful?

Talking Points

- The problem with the traditional approach of teaching to mastery
- How to address the personal needs of students
- How to help all students grow
- What are open tasks?
- What if students aren't getting "it"?

Talking Points

- The problem with the traditional approach of teaching to mastery
- How to address the personal needs of students
- How to help all students grow
- What are open tasks?
- What if students aren't getting "it"?

Talking Points

- What it means to take the long view in multiplication facts
- The importance of really knowing your students
- Clue cards
- Final thoughts on fact fluency

Show links:

Find the transcript here: https://podcast.mathisfigureoutable.com/1062400/8040345-ep-38-multiplication-facts-the-good-the-bad-and-the-ugly-pt-5

]]>Talking Points

- What it means to take the long view in multiplication facts
- The importance of really knowing your students
- Clue cards
- Final thoughts on fact fluency

Show links:

Find the transcript here: https://podcast.mathisfigureoutable.com/1062400/8040345-ep-38-multiplication-facts-the-good-the-bad-and-the-ugly-pt-5

]]>Talking Points

- What makes a good math game?
- What makes a poor math game?
- What are the best games today to help students own multiplication facts?

Links

- Live Problem Strings on Facebook Live
- The Product Game (Link includes games for other grade levels as well!)

Talking Points

- What makes a good math game?
- What makes a poor math game?
- What are the best games today to help students own multiplication facts?

Links

- Live Problem Strings on Facebook Live
- The Product Game (Link includes games for other grade levels as well!)

Talking Points

- The order that we teach content matters
- The order we teach the facts matters
- The key relationships students need to own facts
- How parents can help their kids own their facts

Free Problem String Download: mathisfigureoutable.com/factsps

]]>Talking Points

- The order that we teach content matters
- The order we teach the facts matters
- The key relationships students need to own facts
- How parents can help their kids own their facts

Free Problem String Download: mathisfigureoutable.com/factsps

]]>Talking Points:

- The negative effects of timed multiplication fact tests
- How to avoid using shame as a motivator to learn facts (harder then you think!)
- Why learning facts as isolated ideas is dangerous

Find this episode's transcript here: https://podcast.mathisfigureoutable.com/1062400/7773085-ep-35-multiplication-facts-the-good-the-bad-and-the-ugly-pt-2

Talking Points:

- The negative effects of timed multiplication fact tests
- How to avoid using shame as a motivator to learn facts (harder then you think!)
- Why learning facts as isolated ideas is dangerous

Find this episode's transcript here: https://podcast.mathisfigureoutable.com/1062400/7773085-ep-35-multiplication-facts-the-good-the-bad-and-the-ugly-pt-2

Talking Points:

- Why multiplication facts are important
- The difference between knowing and memorizing facts
- How to get rid of all the stress around multiplication facts
- Is the goal to get through memorizing the facts, or to develop multiplicative reasoning?

We recommend brushing up on episodes 5 & 6 in preparation for this series. Understanding what it means to develop multiplicative reasoning is so important!

Find this episodes transcript here: https://podcast.mathisfigureoutable.com/1062400/7641379-ep-34-multiplication-facts-the-good-the-bad-and-the-ugly-pt-1

Talking Points:

- Why multiplication facts are important
- The difference between knowing and memorizing facts
- How to get rid of all the stress around multiplication facts
- Is the goal to get through memorizing the facts, or to develop multiplicative reasoning?

We recommend brushing up on episodes 5 & 6 in preparation for this series. Understanding what it means to develop multiplicative reasoning is so important!

Find this episodes transcript here: https://podcast.mathisfigureoutable.com/1062400/7641379-ep-34-multiplication-facts-the-good-the-bad-and-the-ugly-pt-1

Talking Points:

- Why call 'Number Talks' 'Problem Talks'?
- Short term uses for Problem Talks
- The best use for Problem Talks
- The purpose of Problem Strings
- When to do Problem Talks
- When to do Problem Strings

Want to learn more about this powerful combination? Head to: mathisfigureoutable.com/stringsvtalks

Get this weeks transcript at: https://podcast.mathisfigureoutable.com/1062400/7498621-ep-33-problem-strings-vs-problem-talks

Talking Points:

- Why call 'Number Talks' 'Problem Talks'?
- Short term uses for Problem Talks
- The best use for Problem Talks
- The purpose of Problem Strings
- When to do Problem Talks
- When to do Problem Strings

Want to learn more about this powerful combination? Head to: mathisfigureoutable.com/stringsvtalks

Get this weeks transcript at: https://podcast.mathisfigureoutable.com/1062400/7498621-ep-33-problem-strings-vs-problem-talks

Talking Points

- What makes a good Problem String?
- How do we help kids learn the appropriate uses of alternative strategies?
- What to avoid when facilitating Problem Strings
- Tweet at us your favorite name for this strategy!

Talking Points

- What makes a good Problem String?
- How do we help kids learn the appropriate uses of alternative strategies?
- What to avoid when facilitating Problem Strings
- Tweet at us your favorite name for this 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:

- 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

]]>