Talking Points:

- Help students build a feel for benchmark units of time
- Notice and tell what time it is a lot with kids
- Notice aloud how long things take throughout the day

Talking Points:

- Help students build a feel for benchmark units of time
- Notice and tell what time it is a lot with kids
- Notice aloud how long things take throughout the day

Talking Points:

- Is math always Figure-Out-Able?
- How ratio tables prepare students for linear functions
- Example Problem Strings
- Registration for workshops closes this Friday!

Get a workshop while you can: https://www.mathisfigureoutable.com/workshops

]]>Talking Points:

- Is math always Figure-Out-Able?
- How ratio tables prepare students for linear functions
- Example Problem Strings
- Registration for workshops closes this Friday!

Get a workshop while you can: https://www.mathisfigureoutable.com/workshops

]]>Talking Points:

- 1st Grade - doubling and halving
- 3rd Grade - concepts around 100
- 5th Grade - multiplication and volume
- 7th Grade - rates (see Episode 112 for Unit Rate Problem String)
- Algebra I - exponential functions
- Pre-Calculus - functions

Our workshops are open for registration! Take advantage now to change your math classroom! https://www.mathisfigureoutable.com/workshops

]]>Talking Points:

- 1st Grade - doubling and halving
- 3rd Grade - concepts around 100
- 5th Grade - multiplication and volume
- 7th Grade - rates (see Episode 112 for Unit Rate Problem String)
- Algebra I - exponential functions
- Pre-Calculus - functions

Our workshops are open for registration! Take advantage now to change your math classroom! https://www.mathisfigureoutable.com/workshops

]]>Talking Points:

- The Two-Third/One-Thirds rule
- Rich Tasks - see Episodes 102 and 103
- Test Prep?!
- Use instructional routines for spiral review
- Tune in to the next episode for examples

Registration for our workshops are open now! Sessions for everyone, K-12! Check them out!

https://www.mathisfigureoutable.com/workshops

Talking Points:

- The Two-Third/One-Thirds rule
- Rich Tasks - see Episodes 102 and 103
- Test Prep?!
- Use instructional routines for spiral review
- Tune in to the next episode for examples

Registration for our workshops are open now! Sessions for everyone, K-12! Check them out!

https://www.mathisfigureoutable.com/workshops

Talking Points:

- Problem Talks are great ways to pre-assess your students
- Partial strategies are a great starting place but we have to help students develop more sophisticated strategies
- The starting strategies for each major operation
- Students need lots of experience developing relationships through Problem Strings and Rich Tasks for strategies to be natural outcomes

Check out our free eBook to learn more about these strategies: https://www.mathisfigureoutable.com/big

And don't miss out on the You Can Change Math Class Challenge! https://www.mathisfigureoutable.com/change

Check out Episodes 10 and 12 of this podcast for more ideas about starting your school year.

Talking Points:

- Problem Talks are great ways to pre-assess your students
- Partial strategies are a great starting place but we have to help students develop more sophisticated strategies
- The starting strategies for each major operation
- Students need lots of experience developing relationships through Problem Strings and Rich Tasks for strategies to be natural outcomes

Check out our free eBook to learn more about these strategies: https://www.mathisfigureoutable.com/big

And don't miss out on the You Can Change Math Class Challenge! https://www.mathisfigureoutable.com/change

Check out Episodes 10 and 12 of this podcast for more ideas about starting your school year.

Talking Points:

- Creating a safe mathematical community conducive for Real Math to happen
- Wait time - "Do you want time or help?"
- Where are you on the continuum to make some or lots of changes?
- Tips on where to start wherever you are on the continuum
- Using Problem Strings, I Have, You Need, MathStratChat and other instructional routines and games
- What you celebrate, answers or thinking, is what students will share
- How to transform your curriculum if you're super gung-ho

Don't miss out on the You Can Change Math Class Challenge! Register today at https://www.mathisfigureoutable.com/change

Learn more about I Have, You Need by listening to episode 7, or visit us at https://www.mathisfigureoutable.com/blog/i-have-you-need

Talking Points:

- Creating a safe mathematical community conducive for Real Math to happen
- Wait time - "Do you want time or help?"
- Where are you on the continuum to make some or lots of changes?
- Tips on where to start wherever you are on the continuum
- Using Problem Strings, I Have, You Need, MathStratChat and other instructional routines and games
- What you celebrate, answers or thinking, is what students will share
- How to transform your curriculum if you're super gung-ho

Don't miss out on the You Can Change Math Class Challenge! Register today at https://www.mathisfigureoutable.com/change

Learn more about I Have, You Need by listening to episode 7, or visit us at https://www.mathisfigureoutable.com/blog/i-have-you-need

Talking Points:

- A Problem String to reason about unit rates and model on a double open number line
- When could an double open number line be helpful in middle school and high school?
- When is a ratio table more versatile than a double open number line?
- What other concepts can a double open number line be helpful for students?
- The percent bar is a double open number line?

Check out our free download on Double Number Lines: https://mathisfigureoutable.com/double

]]>Talking Points:

- A Problem String to reason about unit rates and model on a double open number line
- When could an double open number line be helpful in middle school and high school?
- When is a ratio table more versatile than a double open number line?
- What other concepts can a double open number line be helpful for students?
- The percent bar is a double open number line?

Check out our free download on Double Number Lines: https://mathisfigureoutable.com/double

]]>Talking Points:

What is an open number line vs a closed number line?

Are number lines, closed or open, discrete models and why does it matter?

Why shift to a measurement model vs a discrete model?

What are some common errors students make when we use the traditional way of teaching measurement?

We suggest a rich task by Cathy Fosnot to help students develop an understanding of the open number line through measurement

What can you model on an open number line? Elapsed time, addition and subtraction of whole numbers and integers and more

Is an open number line helpful for higher math concepts?

Check out Cathy Fosnot's amazing rich task: https://www.heinemann.com/products/e01010.aspx]]>

Talking Points:

What is an open number line vs a closed number line?

Are number lines, closed or open, discrete models and why does it matter?

Why shift to a measurement model vs a discrete model?

What are some common errors students make when we use the traditional way of teaching measurement?

We suggest a rich task by Cathy Fosnot to help students develop an understanding of the open number line through measurement

What can you model on an open number line? Elapsed time, addition and subtraction of whole numbers and integers and more

Is an open number line helpful for higher math concepts?

Check out Cathy Fosnot's amazing rich task: https://www.heinemann.com/products/e01010.aspx]]>

Talking Points:

- Building reasoning allows students to be flexible and have fun with decimal multiplication
- Kim uses percent and money to solve 0.77 x 2.4 with confidence (no need for a calculator)
- Pam represents her thinking on a ratio table for 0.77 x 2.4
- Different strategies for 0.77 x 0.24?
- What about 7.7 x 0.24?
- Why is thinking and reasoning so important?

Talking Points:

- Building reasoning allows students to be flexible and have fun with decimal multiplication
- Kim uses percent and money to solve 0.77 x 2.4 with confidence (no need for a calculator)
- Pam represents her thinking on a ratio table for 0.77 x 2.4
- Different strategies for 0.77 x 0.24?
- What about 7.7 x 0.24?
- Why is thinking and reasoning so important?

Talking Points:

- Reflecting on the more sophisticated strategy from Ep 106
- Applying knowledge of whole number multiplication to decimals
- It's more about reasoning than shifting the decimal
- Reasoning in small steps builds understanding vs. just counting the decimals
- Reasonableness comes from keeping kids in reasoning land
- Language to focus on and language to avoid

Talking Points:

- Reflecting on the more sophisticated strategy from Ep 106
- Applying knowledge of whole number multiplication to decimals
- It's more about reasoning than shifting the decimal
- Reasoning in small steps builds understanding vs. just counting the decimals
- Reasonableness comes from keeping kids in reasoning land
- Language to focus on and language to avoid

Talking Points:

- Which models are helpful
- Decimals and money
- Students need to develop a few starting relationships before becoming more sophisticated
- Smart Partial Products with decimals

Talking Points:

- Which models are helpful
- Decimals and money
- Students need to develop a few starting relationships before becoming more sophisticated
- Smart Partial Products with decimals

Talking Points:

- Base Ten Materials
- Exploding Dots by James Tanton
- Money

Talking Points:

- Base Ten Materials
- Exploding Dots by James Tanton
- Money

Talking Points:

- How beginning learners will use multiplying by 10 in double digit multiplication problems.
- How more sophisticated students deal with smaller numbers then scale up.
- How this applies to middle school students.
- How can Five is Half of 10 be used with more sophisticated thinking?

Talking Points:

- How beginning learners will use multiplying by 10 in double digit multiplication problems.
- How more sophisticated students deal with smaller numbers then scale up.
- How this applies to middle school students.
- How can Five is Half of 10 be used with more sophisticated thinking?

Talking Points:

- Mathematizing is not about speed
- Pam, the basketball player
- It's not about memorizing disconnected rules and procedures.
- Kim, the teacher pleaser
- Experience and opportunities are important so kids have choices
- We need all students in the game of math
- Is there such a thing as a "math gene" or natural talent?
- All students have different talents to bring to the table
- Take the Math Perspective Quiz to find more about your perspective of math class and instruction.
- All students have talents to bring to the table

Talking Points:

- Mathematizing is not about speed
- Pam, the basketball player
- It's not about memorizing disconnected rules and procedures.
- Kim, the teacher pleaser
- Experience and opportunities are important so kids have choices
- We need all students in the game of math
- Is there such a thing as a "math gene" or natural talent?
- All students have different talents to bring to the table
- Take the Math Perspective Quiz to find more about your perspective of math class and instruction.
- All students have talents to bring to the table

Talking Points:

- It's not 'Pam Math', it's Real Math and developing mathematicians!
- Coaching teachers is about mentoring, not just telling
- The importance of a common vocabulary - Check out Episodes 58 and 101
- Empowering teachers and leaders through Journey and Journey Leader
- Deep dive online workshops for Kindergarten through middle school
- Building Powerful Linear Functions for high school coming soon!

Talking Points:

- It's not 'Pam Math', it's Real Math and developing mathematicians!
- Coaching teachers is about mentoring, not just telling
- The importance of a common vocabulary - Check out Episodes 58 and 101
- Empowering teachers and leaders through Journey and Journey Leader
- Deep dive online workshops for Kindergarten through middle school
- Building Powerful Linear Functions for high school coming soon!

Talking Points:

- Relatable to students not just real world
- An eye towards equity
- Lead to the mathematics
- Packed with patterns
- Natural extensions
- Make the math realizable
- Building Powerful Linear Functions coming Fall 2022

See **Ep 47: Fractions as Fair Sharing **where we explored the Sub Sandwich rich task!

Talking Points:

- Relatable to students not just real world
- An eye towards equity
- Lead to the mathematics
- Packed with patterns
- Natural extensions
- Make the math realizable
- Building Powerful Linear Functions coming Fall 2022

See **Ep 47: Fractions as Fair Sharing **where we explored the Sub Sandwich rich task!

Talking Points:

- Invite students to make decisions
- Replete with patterns
- Promote discussion and communication
- Tasks should lead somewhere
- Be extendable
- Have an Element of Surprise
- And More!

Talking Points:

- Invite students to make decisions
- Replete with patterns
- Promote discussion and communication
- Tasks should lead somewhere
- Be extendable
- Have an Element of Surprise
- And More!

Talking Points:

- Numeracy Strategies
- Problem Solving Strategies
- Teaching Strategies
- Strategies for Teaching
- Why without one type of strategy, the other strategies will fall flat

Talking Points:

- Numeracy Strategies
- Problem Solving Strategies
- Teaching Strategies
- Strategies for Teaching
- Why without one type of strategy, the other strategies will fall flat

Talking Points:

- Why 'place labeling' is ok, but not enough
- Count Arounds
- Multiple Towers
- Base 10 materials
- Using correct place value language

Talking Points:

- Why 'place labeling' is ok, but not enough
- Count Arounds
- Multiple Towers
- Base 10 materials
- Using correct place value language

Talking Points:

- How to use the BIG downloadable e-book
- A gnarly problem solved using Real Math
- It's all about efficiency and developing more sophisticated reasoning
- Partial strategies are a great starting point but not the ending place
- Kudos to Pam's research and thoughtfulness
- Why does Pam seem to focus on computation?
- What believers are saying
- Other ways to learn with Pam
- We can make higher math more accessible
- BONUS: Kim's failed attempt at the standard algorithm

Get the BIG download here! https://mathisfigureoutable.com/big

]]>Talking Points:

- How to use the BIG downloadable e-book
- A gnarly problem solved using Real Math
- It's all about efficiency and developing more sophisticated reasoning
- Partial strategies are a great starting point but not the ending place
- Kudos to Pam's research and thoughtfulness
- Why does Pam seem to focus on computation?
- What believers are saying
- Other ways to learn with Pam
- We can make higher math more accessible
- BONUS: Kim's failed attempt at the standard algorithm

Get the BIG download here! https://mathisfigureoutable.com/big

]]>Talking Points:

- Pam's personal harmful experience from the long division algorithm
- A precursor strategy: Partial Quotients
- Smart Partial Quotients
- Over-Under
- 5 is Half of 10
- Equivalent Ratios
- Combining strategies

Get the BIG download of all the major strategies for addition, subtraction, multiplication, and division here! https://mathisfigureoutable.com/big

]]>Talking Points:

- Pam's personal harmful experience from the long division algorithm
- A precursor strategy: Partial Quotients
- Smart Partial Quotients
- Over-Under
- 5 is Half of 10
- Equivalent Ratios
- Combining strategies

Get the BIG download of all the major strategies for addition, subtraction, multiplication, and division here! https://mathisfigureoutable.com/big

]]>Talking Points:

- Smart Partial Products
- Over/Under
- 5 is Half of 10
- How are these strategies related to the distributive property?
- Doubling/Halving
- How is this strategy related to the associative property?
- Using Quarters & Scaling
- Bonus! Flexible Factoring

Get a download of all the major strategies here: www.mathisfigureoutable.com/big

]]>Talking Points:

- Smart Partial Products
- Over/Under
- 5 is Half of 10
- How are these strategies related to the distributive property?
- Doubling/Halving
- How is this strategy related to the associative property?
- Using Quarters & Scaling
- Bonus! Flexible Factoring

Get a download of all the major strategies here: www.mathisfigureoutable.com/big

]]>Talking Points:

- Remove a Friendly Number
- Remove a Friendly Number - Over
- Remove to a Friendly Number
- Constant Difference
- How do students choose which one to use?

Get the download! www.mathisfigureoutable.com/big

Talking Points:

- Remove a Friendly Number
- Remove a Friendly Number - Over
- Remove to a Friendly Number
- Constant Difference
- How do students choose which one to use?

Get the download! www.mathisfigureoutable.com/big

Talking Points:

- Splitting by Place Value (a precursor strategy)
- Add a Friendly Number
- Add a Friendly Number - Over
- Get to a Friendly Number
- Give and Take
- When do you use each strategy?

Get our download of all the major strategies here! mathisfigureoutable.com/big

Talking Points:

- Splitting by Place Value (a precursor strategy)
- Add a Friendly Number
- Add a Friendly Number - Over
- Get to a Friendly Number
- Give and Take
- When do you use each strategy?

Get our download of all the major strategies here! mathisfigureoutable.com/big

Talking Points:

- Pam's journey from learning only step by step procedures to mathematizing
- How this series can take Pam's published books a step further
- How Kim, and many other mathematicians approach problems
- Ownership of the major relationships empowers students with choice
- Honor students thinking, but don't leave students where they are

Get the download!: mathisfigureoutable.com/big

Talking Points:

- Pam's journey from learning only step by step procedures to mathematizing
- How this series can take Pam's published books a step further
- How Kim, and many other mathematicians approach problems
- Ownership of the major relationships empowers students with choice
- Honor students thinking, but don't leave students where they are

Get the download!: mathisfigureoutable.com/big

Talking Points:

- Answers are important!
- What we don't want to communicate to parents
- Preparing students for high stakes tests is important!
- Insight into a test writer's thinking when they write test items
- Helping students mathematize will help them feel more confident and excel on high stakes tests

Talking Points:

- Answers are important!
- What we don't want to communicate to parents
- Preparing students for high stakes tests is important!
- Insight into a test writer's thinking when they write test items
- Helping students mathematize will help them feel more confident and excel on high stakes tests

Talking Points:

- Typical parent math nights vs. our parent math nights
- Opportunity to share grade level or school wide expectations
- Importance of a Q & A for parents
- Help parents experience math the way their students do
- Mathematizing for parents at the "sweet spot" level of math
- Suggestions for finding Problem Strings to use at math nights
- Logistics tips for parent math night
- Advantages of a series of parent nights

Talking Points:

- Typical parent math nights vs. our parent math nights
- Opportunity to share grade level or school wide expectations
- Importance of a Q & A for parents
- Help parents experience math the way their students do
- Mathematizing for parents at the "sweet spot" level of math
- Suggestions for finding Problem Strings to use at math nights
- Logistics tips for parent math night
- Advantages of a series of parent nights

Talking Points:

- Newsletters: What is helpful information and tips for parents I can share?
- Parent-teacher conferences: What can I share with parents about math other than just grades?
- Homework assignments: I don't like drill and kill. What kinds of homework are helpful for students and parents?

Talking Points:

- Newsletters: What is helpful information and tips for parents I can share?
- Parent-teacher conferences: What can I share with parents about math other than just grades?
- Homework assignments: I don't like drill and kill. What kinds of homework are helpful for students and parents?

Talking Points:

- We want invested parents
- Parents need to be heard, and then they need to understand
- The importance of listening to understand

Talking Points:

- We want invested parents
- Parents need to be heard, and then they need to understand
- The importance of listening to understand

Talking Points:

- Pajama Math and exploring relationships in multiplying fractions
- Can you really just multiply straight across with fractions?
- Two ways to reason about 3/5 times 3/9
- Pam and Kim reason multiple ways about 3/4 times 2/5
- Join us in #MathStratChat!

Talking Points:

- Pajama Math and exploring relationships in multiplying fractions
- Can you really just multiply straight across with fractions?
- Two ways to reason about 3/5 times 3/9
- Pam and Kim reason multiple ways about 3/4 times 2/5
- Join us in #MathStratChat!

Talking Points:

- Phil Daro's research on patterns of math instruction from across the world
- Student success from answer getting instruction vs instruction that focuses on outcomes from reasoning
- The real purpose of math class
- Now that I know different, how can I do different and help kids reason?

Resources:

Phil Daro video: https://vimeo.com/79916037

Talking Points:

- Phil Daro's research on patterns of math instruction from across the world
- Student success from answer getting instruction vs instruction that focuses on outcomes from reasoning
- The real purpose of math class
- Now that I know different, how can I do different and help kids reason?

Resources:

Phil Daro video: https://vimeo.com/79916037

Talking Points:

- All year long invest your time wisely helping kids learn to reason, increasing their sophistication of relationships and solving more difficult problems.
- Students can and will perform well on standardized tests if they have been thinking and reasoning, experiencing new situations all year.
- Students will approach a standardized test with confidence and less stress if they have been given opportunities to struggle productively all year and become good mathematicians.
- Introduce the algorithm as a study of why the algorithm works for the very end of the year. Introducing the algorithm too early in the year risks giving students the option to turn their brains off.

Talking Points:

- All year long invest your time wisely helping kids learn to reason, increasing their sophistication of relationships and solving more difficult problems.
- Students can and will perform well on standardized tests if they have been thinking and reasoning, experiencing new situations all year.
- Students will approach a standardized test with confidence and less stress if they have been given opportunities to struggle productively all year and become good mathematicians.
- Introduce the algorithm as a study of why the algorithm works for the very end of the year. Introducing the algorithm too early in the year risks giving students the option to turn their brains off.

Talking Points:

- One student's perspective
- What are algorithms?
- Why have we taught algorithms in the past?
- Where are algorithms helpful in today's world?
- Do algorithms help students learn to mathematize?
- From another student's perspective
- Learn more in the online workshops

Talking Points:

- One student's perspective
- What are algorithms?
- Why have we taught algorithms in the past?
- Where are algorithms helpful in today's world?
- Do algorithms help students learn to mathematize?
- From another student's perspective
- Learn more in the online workshops

Talking Points:

- Why do some kids keep counting after they've learned these relationships?
- How to help kids break the counting habit and why that is important
- It's not about speed or only the answers, it's about developing more sophisticated thinkers and reasoners
- Deep dive online workshops for teachers

Talking Points:

- Why do some kids keep counting after they've learned these relationships?
- How to help kids break the counting habit and why that is important
- It's not about speed or only the answers, it's about developing more sophisticated thinkers and reasoners
- Deep dive online workshops for teachers

Talking Points:

- What are partners of ten?
- Do older students need partners of ten?
- Rich Tasks with 10
- Collect Ten
- I Have, You Need
- Establish partners of ten early in the school year
- Workshop registration is open until Feb 4!

Links:

bit.ly/partnersoftensgames

mathisfigureoutable.com/youneed

mathisfigureoutable.com/workshops

Talking Points:

- What are partners of ten?
- Do older students need partners of ten?
- Rich Tasks with 10
- Collect Ten
- I Have, You Need
- Establish partners of ten early in the school year
- Workshop registration is open until Feb 4!

Links:

bit.ly/partnersoftensgames

mathisfigureoutable.com/youneed

mathisfigureoutable.com/workshops

Talking Points:

- It's not about speed
- Doubles are important
- The Shoe Game
- The Doubles Game (Cathy Fosnot)
- Near doubles
- Ten-and or The teens

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 (Cathy Fosnot)
- Near doubles
- Ten-and or The teens

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:

- Learners setting goals around mathematical behaviors or practice standards.
- Teacher goals centered around the NCTM mathematics teaching practices.
- Teacher goal to elicit and use evidence of student thinking.
- SMART goals.
- Hey Australia! We appreciate you!

Talking Points:

- Learners setting goals around mathematical behaviors or practice standards.
- Teacher goals centered around the NCTM mathematics teaching practices.
- Teacher goal to elicit and use evidence of student thinking.
- SMART goals.
- Hey Australia! We appreciate you!

Talking Points:

- Cooking and Baking
- Spending Holiday Money
- Dinner Games
- Daily Tasks
- Walks
- Car Games
- Notice and Wonder

Talking Points:

- Cooking and Baking
- Spending Holiday Money
- Dinner Games
- Daily Tasks
- Walks
- Car Games
- Notice and Wonder

Favorite Games:

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

Favorite Games:

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

Talking Points:

- Examples of the routine for all four operations
- What does the equal sign really mean?
- Strategies based on equivalence: Give and Take, Constant Difference, Doubling and Halving, Equivalent Ratio

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:

- Examples of the routine for all four operations
- What does the equal sign really mean?
- Strategies based on equivalence: Give and Take, Constant Difference, Doubling and Halving, Equivalent Ratio

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 what Real Math estimation is through reasoning.
- Examples
- Teacher moves to introduce the routine and common pitfalls
- Why do we use the routine?
- 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 what Real Math estimation is through reasoning.
- Examples
- Teacher moves to introduce the routine and common pitfalls
- Why do we use the routine?
- 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?
- Focus on providing experience rather than natural talent or ability.

Talking Points:

- The problem with labels.
- What do we believe about learning?
- Focus on providing experience rather than natural talent or ability.

Talking Points:

- We need to know beyond our standards.
- Why we need to look vertically and horizontally at our standard's landscape?
- How knowing our students can help target their individual zone of proximal development.

Talking Points:

- We need to know beyond our standards.
- Why we need to look vertically and horizontally at our standard's landscape?
- How knowing our students can help target their individual zone of proximal development.

Talking Points:

- Pam and Kim's favorite numbers
- Twitter followers and MathStratChat
- You Can Change Math Class Challenge
- Pam and Kim as colleagues
- Podcast
- Online Workshops
- What's coming up next?

Talking Points:

- Pam and Kim's favorite numbers
- Twitter followers and MathStratChat
- You Can Change Math Class Challenge
- Pam and Kim as colleagues
- Podcast
- Online Workshops
- What's coming up next?

Talking Points:

- What is a Problem String?
- How long should a Problem String last?
- Can Problem Strings be given in a worksheet or as a bell ringer?
- Does everyone share during the Problem String?
- How do I know which students should share and in what order?
- What if all of my students aren't using the strategy?
- What if I don't understand a student's strategy?
- How do I write Problem Strings?

Talking Points:

- What is a Problem String?
- How long should a Problem String last?
- Can Problem Strings be given in a worksheet or as a bell ringer?
- Does everyone share during the Problem String?
- How do I know which students should share and in what order?
- What if all of my students aren't using the strategy?
- What if I don't understand a student's strategy?
- How do I write Problem Strings?

Talking Points:

- Defining Problem Strings
- The "Why or Purpose" - What sets a Problem String apart from just a list of problems?
- The "How" - How are Problem Strings facilitated differently from a textbook lesson or rich task?
- An example

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

]]>Talking Points:

- Defining Problem Strings
- The "Why or Purpose" - What sets a Problem String apart from just a list of problems?
- The "How" - How are Problem Strings facilitated differently from a textbook lesson or rich task?
- An example

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

]]>Talking Points:

- You don't have to have lots of recent experience to notice the patterns.
- Problem Strings to notice patterns and relationships between the
*x*values and the*y*values. - How the relationships between the
*x*values and the*y*values help you think and reason about slope and*y*intercept. - Algebra is Figure-Out-Able!!

Talking Points:

- You don't have to have lots of recent experience to notice the patterns.
- Problem Strings to notice patterns and relationships between the
*x*values and the*y*values. - How the relationships between the
*x*values and the*y*values help you think and reason about slope and*y*intercept. - Algebra is Figure-Out-Able!!

Talking Points:

- Is using the procedure of finding slope, plugging into a formula, etc the most efficient?
- The importance of working with intuition
- Examples of using patterns that you notice to find the equation of a line without formulas
- Intuitively finding the equation of a line in standard form

Talking Points:

- Is using the procedure of finding slope, plugging into a formula, etc the most efficient?
- The importance of working with intuition
- Examples of using patterns that you notice to find the equation of a line without formulas
- Intuitively finding the equation of a line in standard form

- Examples of solving addition problems with bigger numbers using Additive Reasoning.
- Examples of solving multiplication problems with Counting Strategies, Additive Reasoning and Multiplicative Reasoning.
- Examples of solving division problems with Counting Strategies, Additive Reasoning and Multiplicative Reasoning.
- Brand new free infographics of the Development of Mathematical Reasoning.
- Videos of students solving problems using the different types of reasoning to help you use the DMR in your classroom to identify where your students are in their reasoning.

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

]]>- Examples of solving addition problems with bigger numbers using Additive Reasoning.
- Examples of solving multiplication problems with Counting Strategies, Additive Reasoning and Multiplicative Reasoning.
- Examples of solving division problems with Counting Strategies, Additive Reasoning and Multiplicative Reasoning.
- Brand new free infographics of the Development of Mathematical Reasoning.
- Videos of students solving problems using the different types of reasoning to help you use the DMR in your classroom to identify where your students are in their reasoning.

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

]]>Talking Points:

- It's not about answer getting, or students doing it 'their way'.
- Our goal is more sophisticated thinking and reasoning
- Added Statistical Reasoning to DMR
- Where do subtraction and division live on the DMR graphic?
- We don't leave a level of reasoning behind
- Examples of Counting, Additive and Multiplicative Reasoning
- How can you build your own mathematical reasoning?
- Free DMR workshop for anyone at anytime!

Talking Points:

- It's not about answer getting, or students doing it 'their way'.
- Our goal is more sophisticated thinking and reasoning
- Added Statistical Reasoning to DMR
- Where do subtraction and division live on the DMR graphic?
- We don't leave a level of reasoning behind
- Examples of Counting, Additive and Multiplicative Reasoning
- How can you build your own mathematical reasoning?
- Free DMR workshop for anyone at anytime!

Talking Points:

- Karim Ani
- Peter Liljedahl
- Deborah Ball
- Zaretta Hammond
- Jenny Bay Williams and John SanGiovanni
- Elham Kazeimi
- Cathy Fosnot
- Juli K. Dixon
- Sarah Vanderwerf
- Instructional Routines to find at MathisFigureOutAble.com

JourneyLEADER (learn more at https://www.mathisfigureoutable.com/leader)

Other people to follow: @JBayWilliams, @JohnSanGiovanni,

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

Talking Points:

- Karim Ani
- Peter Liljedahl
- Deborah Ball
- Zaretta Hammond
- Jenny Bay Williams and John SanGiovanni
- Elham Kazeimi
- Cathy Fosnot
- Juli K. Dixon
- Sarah Vanderwerf
- Instructional Routines to find at MathisFigureOutAble.com

JourneyLEADER (learn more at https://www.mathisfigureoutable.com/leader)

Other people to follow: @JBayWilliams, @JohnSanGiovanni,

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

Talking Points:

- Shared experiences help to communicate and reflect about critical moments and expert teacher moves.
- How coaches, teachers and peers can benefit from coversations about shared experiences to implement action in the classroom.
- How to create shared experiences.
- Introducing JourneyLEADER

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

]]>Talking Points:

- Shared experiences help to communicate and reflect about critical moments and expert teacher moves.
- How coaches, teachers and peers can benefit from coversations about shared experiences to implement action in the classroom.
- How to create shared experiences.
- Introducing JourneyLEADER

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

]]>There is so much to division! Pam and Kim go through a quick Problem String that builds a less known, but super powerful, division strategy.

Talking Points:

- Reasoning about division with scaling
- Thinking partitively vs quotatively to solve gnarly division problems with whole numbers, fractions, decimals and even polynomials.

Learn more about the Building Powerful Division workshop

]]>There is so much to division! Pam and Kim go through a quick Problem String that builds a less known, but super powerful, division strategy.

Talking Points:

- Reasoning about division with scaling
- Thinking partitively vs quotatively to solve gnarly division problems with whole numbers, fractions, decimals and even polynomials.

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 = ?
- Double/triple counting, counting on, Commutative Property for addition.
- Teacher moves to help students become more sophisticated counters.

Talking Points:

- Counting is more than singing the song.
- Addition requires a strong foundation of Counting Strategies.
- C + M = ?
- Double/triple counting, counting on, Commutative Property for addition.
- Teacher moves to help students become more sophisticated counters.

Talking Points:

- CRA vs tools for thinking
- What are 100 charts, base 10 blocks and algebra tiles?
- 3 limitations for some manipulatives that prevent kids from doing Real Math
- How each not-fav model have the 3 limitations for computing
- Mimicking or Mathematizing?

Talking Points:

- CRA vs tools for thinking
- What are 100 charts, base 10 blocks and algebra tiles?
- 3 limitations for some manipulatives that prevent kids from doing Real Math
- How each not-fav model have the 3 limitations for computing
- Mimicking or Mathematizing?

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 3 preferred models for transitioning from counting to Additive Reasoning

See Episode 5:How Do You Reason to learn more about the Development of Mathematical Reasoning, and how it transforms our understanding of what it means to learn and teach mathematics.

]]>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 3 preferred models for transitioning from counting to Additive Reasoning

See Episode 5:How Do You Reason to learn more about the Development of Mathematical Reasoning, and how it transforms our understanding of what it means to learn and teach mathematics.

]]>Talking Points:

- What are Number Bonds and Tape Diagrams?
- CGI and direct modeling confusion
- Example of using Number Bonds and Tape Diagrams vs an Open Number Line
- Models that can be tools for thinking for addition, subtraction, multiplication, and division

Talking Points:

- What are Number Bonds and Tape Diagrams?
- CGI and direct modeling confusion
- Example of using Number Bonds and Tape Diagrams vs an Open Number Line
- Models that can be tools for thinking for addition, subtraction, multiplication, and division

Talking Points:

- An important modeling framework
- What are manipulatives?
- Gail Burrill - Where's the Math?
- Cathy Fosnot - Do manipulatives embody mathematics?
- Are manipulatives bad?

Talking Points:

- An important modeling framework
- What are manipulatives?
- Gail Burrill - Where's the Math?
- Cathy Fosnot - Do manipulatives embody mathematics?
- Are manipulatives bad?

Talking Points:

- Model vs. Strategies
- The different meanings for "model"
- In important modeling framework
- An example with sticks of gum and a ratio table
- How students learn to verbalize and model their own thinking
- How this framework differs from CRA

Talking Points:

- Model vs. Strategies
- The different meanings for "model"
- In important modeling framework
- An example with sticks of gum and a ratio table
- How students learn to verbalize and model their own thinking
- How this framework differs from CRA

Talking Points:

- We can all be mathy people
- Parents' attitudes towards math affects your child's attitude towards math
- Importance of student think time
- Importance of parent involvement in math education

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

]]>Talking Points:

- We can all be mathy people
- Parents' attitudes towards math affects your child's attitude towards math
- Importance of student think time
- Importance of parent involvement in math education

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

]]>Talking Points:

Reasoning about math vs performing memorized steps

- We want our students to be reasoners, not calculators
- Representing students' thinking and reasoning on paper can look messy
- As we understand the possibilities with Real Math, we can encourage and refine teaching so more students are more successful

Talking Points:

Reasoning about math vs performing memorized steps

- We want our students to be reasoners, not calculators
- Representing students' thinking and reasoning on paper can look messy
- As we understand the possibilities with Real Math, we can encourage and refine teaching so more students are more successful

Talking Points:

- Why did the math we were taught in school look the way it did?
- Why do generations of technology dependent students need a different way to learn math?
- Why do students need to understand Real Math for our future?

Talking Points:

- Why did the math we were taught in school look the way it did?
- Why do generations of technology dependent students need a different way to learn math?
- Why do students need to understand Real Math for our future?

Talking Points:

- Jo Boaler's Data Talks: https://www.youcubed.org/resource/data-talks/
- Integrating data analytics into what you are already teaching
- Solidifying your teaching philosophy and belief system. See episode 12
- The importance of good teacher partners and getting outside of your own classroom
- The importance of good student-teacher relationships
- Starting off the year by setting clear expectations to set the year up for success
- Figure out how you fit as an adult with all students

Talking Points:

- Jo Boaler's Data Talks: https://www.youcubed.org/resource/data-talks/
- Integrating data analytics into what you are already teaching
- Solidifying your teaching philosophy and belief system. See episode 12
- The importance of good teacher partners and getting outside of your own classroom
- The importance of good student-teacher relationships
- Starting off the year by setting clear expectations to set the year up for success
- Figure out how you fit as an adult with all students

Talking Points:

- Why experience with coins and their relationships is important
- Distinction between teaching strategies and mathematical strategies
- Technology in classrooms as a teaching strategy

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

]]>Talking Points:

- Why experience with coins and their relationships is important
- Distinction between teaching strategies and mathematical strategies
- Technology in classrooms as a teaching strategy

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?
- Example Problem String with non-unit fractions and mixed numbers
- Should we insist on the most simplified fraction answer?
- 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?
- Example Problem String with non-unit fractions and mixed numbers
- Should we insist on the most simplified fraction answer?
- 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 think and reason about fraction equivalence
- Using the word "over" for fractions is NOT helpful
- Equivalent fraction examples on a clock model
- A real student's math journey

Talking Points:

- Use adding and subtracting fractions to help think and reason about fraction equivalence
- Using the word "over" for fractions is NOT helpful
- Equivalent fraction examples on a clock model
- A real student's math journey

Talking Points:

- Do you need time, or do you need help? (see episode 40)
- Once kids have an answer, do we force them to find another way?
- For which denominators is thinking about money helpful?
- Ways to think about 2 2/5 minus 9/20
- The reciprocal relationships between fractions and coins can be confusing
- Fractional equivalence is the goal by asking students to add and subtract fractions

Talking Points:

- Do you need time, or do you need help? (see episode 40)
- Once kids have an answer, do we force them to find another way?
- For which denominators is thinking about money helpful?
- Ways to think about 2 2/5 minus 9/20
- The reciprocal relationships between fractions and coins can be confusing
- Fractional equivalence is the goal by asking students to add and subtract fractions

Talking Points:

- If you understand fractional equivalence, you don't have to memorize any rules for operators of fractions
- Examples of using the money model to think about fraction equivalence, and bonus, fraction operations as well:
- Using decimals and fraction notation interchangeably
- 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
- Examples of using the money model to think about fraction equivalence, and bonus, fraction operations as well:
- Using decimals and fraction notation interchangeably
- Kim's uncomfortable relationship with nickels

Talking Points:

- Splitting the wholes into unit fractions
- Splitting the leftovers into smaller unit fractions and re-unitizing
- Patterns when comparing same-denominator fractions vs same-numerator fractions

Additional Sources: Field Trips and Fund-Raisers

]]>Talking Points:

- Splitting the wholes into unit fractions
- Splitting the leftovers into smaller unit fractions and re-unitizing
- Patterns when comparing same-denominator fractions vs same-numerator fractions

Additional Sources: Field Trips and Fund-Raisers

]]>Talking Points

- Struggles that young learners may experience with "half"
- Simple classroom activities to have students fair shares in early grades as they practice counting
- Experiences and conversations in halving even and odd amounts
- Standards and fractions of an object vs fraction of a set
- Important unit fractions and resources
- Doubling and halving simultaneously
- Simple experiences parents can use to help their kids develop fractional understanding

Additional sources:

]]>Talking Points

- Struggles that young learners may experience with "half"
- Simple classroom activities to have students fair shares in early grades as they practice counting
- Experiences and conversations in halving even and odd amounts
- Standards and fractions of an object vs fraction of a set
- Important unit fractions and resources
- Doubling and halving simultaneously
- Simple experiences parents can use to help their kids develop fractional understanding

Additional sources:

]]>Talking Points

- What is a rational number?
- The 5 Interpretations of Rational Numbers (Credit to Susan Lamon)
- Solving fractions with reasoning!
- Shifting between the 5 interpretations as we solve
- Applying all 5 interpretations to one problem

Talking Points

- What is a rational number?
- The 5 Interpretations of Rational Numbers (Credit to Susan Lamon)
- Solving fractions with reasoning!
- Shifting between the 5 interpretations as we solve
- Applying all 5 interpretations to one problem

Talking Points:

- Pam and Kim's results on the Enneagram Test.
- 2 important things -
- Teaching Real Math is more about beliefs about students and mathematics than personality
- Leverage your beliefs to get support in teaching Real Math.

Talking Points:

- Pam and Kim's results on the Enneagram Test.
- 2 important things -
- Teaching Real Math is more about beliefs about students and mathematics than personality
- Leverage your beliefs 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?
- Suggestions for test prep.
- How teachers view the test and their actions speak loudly
- 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?
- Suggestions for test prep.
- How teachers view the test and their actions speak loudly
- 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 and things to consider
- Computer activities as homework and things to consider
- Communication is critical to honor family time when assigning homework
- Using homework as a teaching tool, not for the sake of work
- Be sure you are sending the right message about mathematics when looking at returned homework.
- How the goal of Real Math helps teachers make decisions about homework

Talking Points:

Pen and paper homework

- Games as homework and things to consider
- Computer activities as homework and things to consider
- Communication is critical to honor family time when assigning homework
- Using homework as a teaching tool, not for the sake of work
- Be sure you are sending the right message about mathematics when looking at returned homework.
- How the goal of Real Math helps teachers make decisions about homework

Talking points:

- What does the research say about homework? How does it vary by grade level?
- 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 grade level?
- 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:

- Some general thoughts about homework.
- When is a topic appropriate to send home for homework?
- Some suggestions for the kinds of homework we should send home
- Parent's role in homework and how can homework be helpful?

Talking points:

- Some general thoughts about homework.
- When is a topic appropriate to send home for homework?
- Some suggestions for the kinds of homework we should send home
- Parent's role in homework and 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

- 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

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

- 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

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

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

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!

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.

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!

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.

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.

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.

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?

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?

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?

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?