Ep 228: Solving Equations Pt 2 Math Is Figure-Out-Able! podcast

Math is Figure-Out-Able!

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Podcasting Education Pam Harris

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Nội dung được cung cấp bởi Pam Harris, Kim Montague, Pam Harris, and Kim Montague. Tất cả nội dung podcast bao gồm các tập, đồ họa và mô tả podcast đều được Pam Harris, Kim Montague, Pam Harris, and Kim Montague hoặc đối tác nền tảng podcast của họ tải lên và cung cấp trực tiếp. Nếu bạn cho rằng ai đó đang sử dụng tác phẩm có bản quyền của bạn mà không có sự cho phép của bạn, bạn có thể làm theo quy trình được nêu ở đây https://vi.player.fm/legal.

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Ep 228: Solving Equations Pt 2

cách đây khoảng một năm trước 26:56

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Nội dung được cung cấp bởi Pam Harris, Kim Montague, Pam Harris, and Kim Montague. Tất cả nội dung podcast bao gồm các tập, đồ họa và mô tả podcast đều được Pam Harris, Kim Montague, Pam Harris, and Kim Montague hoặc đối tác nền tảng podcast của họ tải lên và cung cấp trực tiếp. Nếu bạn cho rằng ai đó đang sử dụng tác phẩm có bản quyền của bạn mà không có sự cho phép của bạn, bạn có thể làm theo quy trình được nêu ở đây https://vi.player.fm/legal.

Solving equations is figureoutable! In this episode Pam and Kim do a follow up string to last week's episode to further develop algebraic reasoning.
Talking Points

Using a double open number line to build proportional reasoning
Using what you know to find x and explore multiple relationships
Understanding equations vs mimicking steps
Simultaneity can be tricky
Additive vs Multiplicative thinking showing up
Operator meaning of fractions comes into play

Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC

… continue reading

386 tập

#Podcasting Education #Pam Harris

Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

Ep 228: Solving Equations Pt 2

Math is Figure-Out-Able!

28 subscribers

published cách đây khoảng một năm trước

Chia sẻ

MP3•Trang chủ episode

Nội dung được cung cấp bởi Pam Harris, Kim Montague, Pam Harris, and Kim Montague. Tất cả nội dung podcast bao gồm các tập, đồ họa và mô tả podcast đều được Pam Harris, Kim Montague, Pam Harris, and Kim Montague hoặc đối tác nền tảng podcast của họ tải lên và cung cấp trực tiếp. Nếu bạn cho rằng ai đó đang sử dụng tác phẩm có bản quyền của bạn mà không có sự cho phép của bạn, bạn có thể làm theo quy trình được nêu ở đây https://vi.player.fm/legal.

Solving equations is figureoutable! In this episode Pam and Kim do a follow up string to last week's episode to further develop algebraic reasoning.
Talking Points

Using a double open number line to build proportional reasoning
Using what you know to find x and explore multiple relationships
Understanding equations vs mimicking steps
Simultaneity can be tricky
Additive vs Multiplicative thinking showing up
Operator meaning of fractions comes into play

Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC

… continue reading

386 tập

#Podcasting Education #Pam Harris

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Math is Figure-Out-Able!

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#MathStratChat - April 23, 2025 3:38

cách đây 2 ngày trước3:38

3:38

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 23, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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Ep 253: Choosing a Problem String 30:36

cách đây 4 ngày trước30:36

30:36

Which Problem Strings are appropriate for your students? In this episode Pam and Kim discuss what they consider when choosing a Problem String for a classroom. Talking Points: A fraction addition example string Things to consider when choosing a Problem String: Prewritten vs write your own Time of year Strategies students already own Building a model vs building a strategy Order of sophistication of strategies Building a model vs strategy New content versus review/reteach See episodes 33, 71, 72, 163, 226, 241 for more on Problem Strings! Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - April 16, 2025 4:29

cách đây 9 ngày trước4:29

4:29

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 16, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 252: Foundations for Multi-Digit Multiplication & Division Strategies 30:06

cách đây 11 ngày trước30:06

30:06

What kinds of tasks help students build multi-digit multiplication and division strategies? In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for multi-digit multiplication and division: Scaling, Over and Adjust, Partial Products, Factoring Talking Points: Benefits of using diverse task types Sample of three "messy" tasks to develop: Ratio tables Area model 2 different kinds of division Relationship between multiplication and division Practice ideas Get your kit from Hand2mind here: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-multiplication-division-small-group-kit Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - April 9, 2025 4:15

cách đây 16 ngày trước4:15

4:15

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 9, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 251: Foundations for Multi-Digit Addition & Subtraction Strategies 33:02

cách đây 18 ngày trước33:02

33:02

What kinds of tasks help students build multi-digit addition and subtraction strategies? In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for multi-digit addition and subtraction: Friendly numbers, place value, adjusting, the commutative property, decomposing Talking Points: Sequencing tasks is more than just moving from one page to the next in the teacher guide Sample of three "messy" tasks to: develop number lines make connections between addition and subtraction analyze strategies solidify a strategy For more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - April 2, 2025 3:40

cách đây 23 ngày trước3:40

3:40

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on April 2, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Ep 250: Foundations for Single Digit Multiplication & Division Strategies 30:14

cách đây 25 ngày trước30:14

30:14

Math class is richer and more fun when the goal is more than answer-getting! In this episode Pam and Kim discuss how to sequence tasks to develop the foundational strategies and relationships for single digit multiplication and division: doubling, making use of ten, and partial products/quotients. Talking Points: Three sample sequence of tasks that use: A product approach Student exploration of patterns Just in time vocabulary Differentiation Foundations of multiplicative reasoning, area, geometry Contexts to develop 3 major models Useful fact practice Anchoring the learning For more sequences, check out the Foundations for Strategies from Hand2mind!: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - March 26, 2025 5:10

cách đây 4 weeks trước5:10

5:10

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 26, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 249: Foundations for Single Digit Addition & Subtraction Strategies 27:10

cách đây 5 weeks trước27:10

27:10

What should the bulk of math class look like? In this episode Pam and Kim discuss sequencing tasks to build foundational relationships that develop into major strategies. Talking Points Major relationships that build the major strategies Problem Strings are one kind of task Foundational Relationships for young learners Rich tasks that get kids messing with relationships What does practice look like? (See Episode 38 for more information on Hint Cards) Check out pre planned sequence of tasks in the Foundation for Strategies small group kit Order information for Foundation for Strategies here: https://www.hand2mind.com/item/foundations-for-strategies-multi-digit-addition-subtraction-small-group-kit Order your copy of Avoiding the Trap of Algorithms here: https://www.mathisfigureoutable.com/avoidthetraps Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - March 19, 2025 4:31

cách đây 5 weeks trước4:31

4:31

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 19, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 248: Avoid the I'm Not A Math Person Trap 20:45

cách đây 6 weeks trước20:45

20:45

Why do students give up on learning math? In this episode Pam and Kim discuss how using algorithms as teaching tools is distorting students' perception of what the definition of math is, which results in a poor mathematical identity. Talking Points: A mysterious five pound bag A proportional reasoning Problem String Trap #1 and #2 (see Ep 246 and 247 for more details) Trap #3 a false definition of math that leads to Identity Definition of Math Trap Read Pam's new book for more information: Developing Mathematical Reasoning: Avoiding the Trap of Algorithms Purchase Book here: http://www.mathisfigureoutable.com/avoidthetraps Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - March 12, 2025 4:25

cách đây 6 weeks trước4:25

4:25

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 12, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 247: Avoid the Digit Trap 23:28

cách đây 7 weeks trước23:28

23:28

Why do students not realize their incorrect answers are completely unreasonable? In this episode Pam and Kim discuss another trap students fall into when taught to mimic algorithms as 'the way' to solve problems. Talking Points: The patterns in Remove a Friendly Number Over strategy Important place value conversations How students can be stuck dealing with only digits rather than magnitude Reasonableness, or "Ish", numbers Parsing out polynomials into too many pieces Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - March 5, 2025 6:06

cách đây 7 weeks trước6:06

6:06

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 5, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 246: Avoid the Trap of Using Less Sophisticated Reasoning 23:17

cách đây 8 weeks trước23:17

23:17

If a student can perform an algorithm, have they developed the mathematical reasoning that operation calls for? Or are they answer-getting? In this episode Pam and Kim discuss a major trap students fall into when we teach mathematics as a series of steps to rotely memorize. Talking Points: A closer look at the multiplication algorithm and a major trap. Problem String that helps give students a high does of patterns for a multiplicative strategy. Algorithms disregard reasonableness. Memorizing an algorithm is forgetable but every strategy learned helps build mental maps to the make subsequent strategies easier to develop. Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - February 26, 2025 4:11

cách đây 8 weeks trước4:11

4:11

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on February 26, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 245: Three Distortions that Ruin Math Teaching 28:15

cách đây 9 weeks trước28:15

28:15

If math is figure-out-able why does the world not always teach it that way? In this episode Pam and Kim discuss the three major distortions holding back math education today. Autostereograms as a metaphor How the distortions are learned How the distortions create frustration How classrooms transform without distortions We want all kids to "see the shark"! Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - February 19, 2025 4:45

cách đây 9 weeks trước4:45

4:45

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on February 19, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 244: Opportunities for Awareness of Current Math Teaching Topics 18:25

cách đây 10 weeks trước18:25

18:25

There are so many way to participate in math professional learning! In this episode Pam and Kim discuss some benefits of choosing your own learning and engaging in free opportunities. Talking Points: Traditional forms of professional development Benefits of multi-day online summits/conferences The value of a shared experience Join in on these great math summits from other fantastic educators! Bulid Math Minds Free Virtual Math Summit, sponsored by Christina Tondevold: https://virtualmathsummit.com/ Make Math Moments FREE Virtual Summit sponsored by Jon Orr and Kyle Pearse: https://makemathmoments.com/summit/ Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - February 12, 2025 3:44

cách đây 10 weeks trước3:44

3:44

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on February 12, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 243: Integer Division 23:35

cách đây 11 weeks trước23:35

23:35

In this episode Pam and Kim use what students know about integer multiplication to tackle integer division (without mismatching rules or randomly switching signs). Talking Points: Reasoning about integer multiplication is ground work for integer division An integer division Problem String Teacher move: time to pause and consider Using the quotative meaning of division Thinking about opposites and reflection Using the partitive meaning See episode 64 for the equivalent ratio strategy Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - February 5, 2025 4:07

cách đây 11 weeks trước4:07

4:07

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on February 5, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 242: Integer Multiplication 29:37

cách đây 12 weeks trước29:37

29:37

One of our most requested topics! In this episode Pam and Kim discuss integer multiplication without mismatching rules or randomly switching signs. Talking Points: Whole number multiplication strategies + meaning of integers leads to integer multiplication. The meaning of integers (See episodes 169, 181, 182, 183, 186) An integer multiplication Problem String and how to model Important noticings about modeling and context The importance of distance, reflection and opposites The importance of equivalence and commutative property Free downloads! https://www.mathisfigureoutable.com/factsps https://www.mathisfigureoutable.com/big Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - January 29, 2025 3:52

cách đây 12 weeks trước3:52

3:52

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on January 29, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Ep 241: Algorithm vs Problem Talk vs Problem String 24:01

cách đây 13 weeks trước24:01

24:01

Is mathing just about allowing students to solve problems their way? Aren't Probem Strings and Problem Talks really just the same routine? In this episode Pam and Kim discuss how Problem Strings move beyond Problem Talks to develop student's mathematical reasoning at a more sophisticated level. Talking Points: Example of a Problem Talk What do we gain from Problem Talks? Example of a Problem String Problem Strings are more focused conversations Problems Strings allow for constant feedback, a high dose of patterning Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

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#MathStratChat - January 22, 2025 3:49

cách đây 13 weeks trước3:49

3:49

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on January 22, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

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Ep 240: Real Math, Fake Math? 24:58

cách đây 14 weeks trước24:58

24:58

Math may be figureoutable, but communication can be tricky! In this episode Pam and Kim discuss things to consider in order to be clear in the message we send when we speak about mathematics education. Talking Points: Duking it out! Are algorithms fake math? A better word than mathing? What do mathematicians think about algorithms? Do the math in mathematics education discussions so we have a common experience. Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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#MathStratChat - January 15, 2025 3:12

cách đây 14 weeks trước3:12

3:12

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on January 15, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Ep 239: Counted Out 27:55

cách đây 15 weeks trước27:55

27:55

People across the world are changing math education. In this episode Pam and Kim discuss the documentary Counted Out that they were fortunate to see. They spotlight some of the thoughts of a few of the great researchers and add their thoughts about affecting change. Talking Points: Spoilers! The effects of algorithms today What needs to change? How do we contribute to change? Math is everywhere Giving students choice Jo Boaler will be on the January 2025 Math is Figureoutable Challenge! Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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#MathStratChat - January 8, 2025 4:12

cách đây 15 weeks trước4:12

4:12

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on January 8, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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Ep 238: Inverse Variation Pt 2 26:22

cách đây 16 weeks trước26:22

26:22

Are inverse functions figureoutable? In this episode Pam and Kim go more into the nuance of when and how we want students to tackle inverse relationships. Talking Points: When to introduce inverse proportions Experience versus instruction Allowing students to grapple to in order to experience those aha moments Problem String design Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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#MathStratChat - January 1, 2025 3:25

cách đây 16 weeks trước3:25

3:25

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on January 1, 2025. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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Ep 237: Inverse Variation Pt 1 22:49

cách đây 17 weeks trước22:49

22:49

What does it mean for something to be an inverse, or to be inversely proportional? In this episode Pam and Kim look at a specific kind of proportional reasoning. Talking Points: It's worth thinking before doing Inversely proportional vs direct variation with non-unit scaling Common misunderstandings Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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#MathStratChat - December 25, 2024 4:53

cách đây 17 weeks trước4:53

4:53

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 25, 2024. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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Ep 236: Exponent Relationships Pt 5 25:32

cách đây 18 weeks trước25:32

25:32

Did you know that students can understand negative exponents without being told what they mean? In this episode Pam and Kim wrap up their series on exponent relationships. Talking Points: New listeners, where to start? Episode 156 Start Here Discovering Negative Exponents Give students experiences first and let them make sense of it Using equivalent expressions to help students visualize and make generalizations What grade levels are these strings for? Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
#MathStratChat - December 18, 2024 3:55

cách đây 18 weeks trước3:55

3:55

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 18, 2024. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Want more? Check out the archive of all of our #MathStratChat posts !…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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Ep 235: Exponent Relationships Pt 4 23:15

cách đây 19 weeks trước23:15

23:15

What if students actually understood using common factors to simplify complex division expressions? In this episode Pam and Kim divide exponents without reciting a rule. Talking Points: Thinking versus reasoning Problem String Dividing Exponents "Canceling" vs "Dividing out to equal 1" Focus on left over factors vs mimicking a rule Why start with smaller bases? Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

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#MathStratChat - December 11, 2024 5:30

cách đây 19 weeks trước5:30

5:30

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 11, 2024. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
Ep 234: Exponent Relationships Pt 3 23:07

cách đây 20 weeks trước23:07

23:07

When variables and exponents start mixing, we need to memorize the rules, right? In this episode Pam and Kim develop exponential relationships, not rules. Talking Points: How "Kim's Notes" became "Half Sheets" Problem String to explore multiplicative relationships when working with exponents. Generalizing multiplication of exponents Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
#MathStratChat - December 4, 2024 4:28

cách đây 20 weeks trước4:28

4:28

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 4, 2024. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
Ep 233: Exponent Relationships Pt 2 23:46

cách đây 21 weeks trước23:46

23:46

Would you believe I'm more comfortable dealing with exponents because I haven't memorized the rules? In this episode Pam and Kim continue building exponentiation with a great problem string Talking Points: Problem string to help build exponentiation When and how to introduce vocabulary Teacher move: Choosing who shares, and in what order More confident reasoning without the rules Teacher Move: Generalizing Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
#MathStratChat - November 27, 2024 5:20

cách đây 21 weeks trước5:20

5:20

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 27, 2024. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
Ep 232: Exponent Relationships Pt 1 26:18

cách đây 22 weeks trước26:18

26:18

Can we prepare students for really hairy exponent problems without resorting to memorized rules? In this first episode of a series, Pam and Kim share a task that could get kids and teachers thinking more and more multiplicatively and understandably about exponents. Talking Points: Can a task have too many layers for students to be successful? Can we sequence a task that works for 3rd grade to Algebra? Problem String to connect prime factorization to exponents. Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC…

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Math is Figure-Out-Able!

Math is Figure-Out-Able! podcast artwork

1
#MathStratChat - November 20, 2024 3:55

cách đây 22 weeks trước3:55

3:55

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 20, 2024. Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies. Check out #MathStratChat on your favorite social media site and join in the conversation. Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education…

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