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...
Dec 10, 2024•23 min•Ep. 234
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...
Dec 05, 2024•5 min
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 Har...
Dec 03, 2024•24 min•Ep. 233
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...
Nov 28, 2024•6 min
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:...
Nov 26, 2024•27 min•Ep. 232
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...
Nov 21, 2024•4 min
Should high school mathematicians be given choice of which strategy to use? In this episode Pam and Kim wrap up their exploration of systems of equations. Talking Points: What is needed to understand 3x? Where students mess up using substitution How do different systems lend themselves to different strategies? Ketchup problems Next step Problem Strings and comparing strategies Giving students choice Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, au...
Nov 19, 2024•22 min•Ep. 231
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 13, 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...
Nov 14, 2024•4 min
Don't you think math needs more cookies in it? In this episode Pam and Kim use Desmos graphing calculator to go through a routine to make sense of systems of equations before doing any elimination or substitution. Talking Points: Kim going to a Cafe for sandwiches and cookies Graphing on Desmos graphing calculator Understanding x and y intercepts Understanding where the lines intersect Relating systems of equations to each other Link to Desmos Graphing Calculator: https://www.desmos.com/calculat...
Nov 12, 2024•25 min•Ep. 230
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 6, 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...
Nov 07, 2024•4 min
Do we flip the sign when its negative? Or is it we keep the sign and flip the minus? I'm confused! In this episode Pam and Kim avoid all that confusion and make solving inequalities figureoutable! Talking Points: Open Number Lines for Inequalities Using "Reflecting the inequality" vs "flipping the sign" Reasoning about balancing the equation Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting...
Nov 05, 2024•23 min•Ep. 229
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 30, 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...
Oct 31, 2024•4 min
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: @PWHarri...
Oct 29, 2024•27 min•Ep. 228
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 23, 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...
Oct 24, 2024•4 min
Do we need to memorize a bunch of rules to solve linear equations or can we reason about them? In this episode Pam and Kim use a model to make thinking visible and keep students reasoning! Talking Points: Modeling on a double open number line Finding where x lies on a double open number line. Grappling with the opposite of x Building integer sense as well as building equation solving sense Reasoning about an equation versus balancing an equation Check out our social media Twitter: @PWHarris Inst...
Oct 22, 2024•30 min•Ep. 227
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 16, 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...
Oct 17, 2024•4 min
How can we help students who have always mimicked learn to reason through the content we need to teach? In this episode Pam and Kim lay out their approach to getting students up to speed while preparing them for the content of the day. Talking Points: How to avoid students feeling belittled Using a 1/3, 2/3 mindest to planning Planning with the entire year in mind Layering in complexity to build a single strategy Only change one thing at a time It may take longer in the beginning or when you swi...
Oct 15, 2024•23 min•Ep. 226
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 9, 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...
Oct 10, 2024•4 min
Do your students struggle with place value? In this episode Pam and Kim discuss great tasks to build real place value understanding for students of all ages. Talking Points: "Adding a zero" vs shifting place value Place Value versus Place Labeling Avoiding rules that expire Build a Number activity Place Value Mini-Workshop! Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC...
Oct 08, 2024•22 min•Ep. 225
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on October 2, 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 o...
Oct 03, 2024•5 min
We love the math teaching community! In this episode Pam and Kim are live from NCTM and discuss the many things they are learning from other math teaching educators at NCSM and NCTM in Chicago. Talking Points: Too many great sessions to list! But here are a few. Announcing: Developing Mathematical Reasoning: Avoiding the Trap of Algorithms Announced: Foundations for Strategies Small Group Lessons Pre order Developing Mathematical Reasoning: Avoiding the Trap of Algorithms here: https://us.corwin...
Oct 01, 2024•27 min•Ep. 224
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on September 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 al...
Sep 26, 2024•4 min
How do you plan for the content you teach? In this episode Pam and Kim discuss task sequencing and a new resource for every classroom. Talking Points: Determining the big ideas, strategies, models Alternating between instructional routines Leading into and getting out of a rich task Introducing Foundations For Strategies Small Group Lessons a collaboration with hand2mind! Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education ...
Sep 24, 2024•21 min•Ep. 223
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on September 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 al...
Sep 19, 2024•5 min
You all know we love playing games in the classroom. In this episode Pam and Kim discuss the advantages of playing games to change students attitudes and beliefs about math, and just have some fun. Talking Points: The benefits of games They don't even have to be math games Multiple Machine by Michael Minas Check out more of Michael Minas' games at Love Maths: https://www.lovemaths.me/games Other Games: Cubit, Balance Beans, Quarto, Dimension, Blockus Check out our social media Twitter: @PWHarris...
Sep 17, 2024•18 min•Ep. 222
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on September 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 Want more? Check out the archive of al...
Sep 12, 2024•4 min
In this episode Pam and Kim discuss a fun way for students to practice their geometry vocabulary and relationships. Talking Points: Geometry riddles Hierarchies of polygons Practice vocabulary in a meaningful way, in context Check out our social media Twitter: @PWHarris Instagram: Pam Harris_math Facebook: Pam Harris, author, mathematics education Linkedin: Pam Harris Consulting LLC
Sep 10, 2024•19 min•Ep. 221
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on September 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 Want more? Check out the archive of all...
Sep 05, 2024•5 min
How can you intentionally build a Math is FigureOutAble culture in your classroom? In this episode Pam and Kim discuss Pam's recent month long trip to Australia and the important teacher moves she showcased in the lab lessons while she was there. Talking Points: Pam's time Down Under Wait time Private Signal Focus on thinking verses focus on the answer A challenge for some students: What hint could you give? Teacher engaged with students the entire time Does every kid need to finish the problem?...
Sep 03, 2024•29 min•Ep. 220
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on August 28, 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 o...
Aug 29, 2024•4 min
