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内容由Pam Harris, Kim Montague, Pam Harris, and Kim Montague提供。所有播客内容(包括剧集、图形和播客描述)均由 Pam Harris, Kim Montague, Pam Harris, and Kim Montague 或其播客平台合作伙伴直接上传和提供。如果您认为有人在未经您许可的情况下使用您的受版权保护的作品,您可以按照此处概述的流程进行操作https://zh.player.fm/legal。
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Ep 228: Solving Equations Pt 2
Manage episode 447361761 series 2858349
内容由Pam Harris, Kim Montague, Pam Harris, and Kim Montague提供。所有播客内容(包括剧集、图形和播客描述)均由 Pam Harris, Kim Montague, Pam Harris, and Kim Montague 或其播客平台合作伙伴直接上传和提供。如果您认为有人在未经您许可的情况下使用您的受版权保护的作品,您可以按照此处概述的流程进行操作https://zh.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
371集单集
Manage episode 447361761 series 2858349
内容由Pam Harris, Kim Montague, Pam Harris, and Kim Montague提供。所有播客内容(包括剧集、图形和播客描述)均由 Pam Harris, Kim Montague, Pam Harris, and Kim Montague 或其播客平台合作伙伴直接上传和提供。如果您认为有人在未经您许可的情况下使用您的受版权保护的作品,您可以按照此处概述的流程进行操作https://zh.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
371集单集
所有剧集
×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…
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 !…
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…
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 !…
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…
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 !…
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…
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 !…
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…
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 !…
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…
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 !…
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…
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 !…
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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