We build addition facts through relationships and fluency through experience. So what important patterns and relationships can help students master or reason with their single digit addition facts rather than rote memorize? How can we teach th
Addition is figure-out-able! In this episode Pam and Kim describe some of the fundamental patterns students should learn as they get familiar and automatize with their single -addition facts. We want students at all levels to have access to th
So many people get left behind when it comes to higher math, because they never learned mathematize or to think more sophisticatedly and build complex relationships and simultaneity in lower math. Teachers often share that their students lack n
We've come to the end of another year, and we'd thought we'd leave you with some suggestions on goals you can set for your teaching. In this episode Pam and Kim highlight some transformative goals that you probably haven't considered before. Ho
Don't you love the holidays? We sure do! Its such a great excuse to talk math with your family! In this episode Pam and Kim describe some ways they involve math in their festivities.Talking Points:CookingHoliday Money Dinner GamesPlanningCar
As we approach Christmas and the holidays, we thought we'd talk about some of our favorite games that we love to gift others! In this episode Pam and Kim share what makes a great mathy game and list a few of their favorites. Also, don't forget
We've got another one of our favorite routines for you today! In this episode Pam and Kim demonstrate the Relational Thinking routine, a routine that helps students understand equivalence and become more comfortable with relational strategies.
There are a lot of great instructional routines out there, and today we want to highlight As Close as it Gets. In this episode Pam and Kim discuss how to use this instructional routine in your classroom and how it can help your students get mat
Are your students dumb or smart? Fast or slow? Or are they just your students? In this episode, Pam and Kim discuss labels, and how damaging they can be. They propose a new way to think about your students so that everyone has the opportunity t
You've probably heard us mention that you should know your content and know your kids, but there's a lot of meaning behind that. In this episode Pam and Kim go in deep on how knowing your content and your kids might look different then traditio
We did it! We made it to episode 73! Why is that an important milestone? Just cause it's Kim's favorite number :-). In this episode Pam and Kim take the opportunity to highlight some important milestones in the Math is Figure-Out-Able movement.
Facilitating a Problem String is tricky business, so Pam and Kim take the time in this episode to provide some do's and don'ts that anyone can learn from.Talking PointsUse purposefully crafted Problem StringsPurposefully choose who sharesThe im
What makes Problem Strings different from other sequences of problems? In this episode Pam and Kim get into the nitty gritty on how Problem Strings work and what sets them apart.Defining Problem StringsHow to recognize a Problem StringHow are P
Problem Strings are meant to build off each other so that the math is always moving forward. That's why we've decided to build off the last episode with another Problem String! In this episode Pam and Kim find the equation for some lines intuit
We've talked a lot about the types of reasoning we need to help students develop, but a lot of teachers believe that there comes a point in higher math, where reasoning just won't cut it. In this episode Pam and Kim tackle functional reasoning,
We've described how students can get away with solving multiplication problems with counting strategies. What about division problems? In this episode Pam and Kim explore the Development of Mathematical Reasoning even further, and discuss how i
It's been over a year since Pam and Kim first introduced the DMR (Development of Mathematical Reasoning). In this episode Pam and Kim dive deeper into the development and why it's so importantIt's not about answer getting, but it's not about th
Math conferences are powerful ways to improve your teaching. But it's also really easy to go to a conference and accidently miss all the good sessions. In this episode Pam talks about powerful leaders in the math education community that she wi
How can we best grow as teachers? Together of course! In this episode Pam and Kim discuss the power of teachers honing their craft together. Leaders and coaches will find this episode particularly helpful.Talking PointsWhere do useful shared ex
There is so much to division! To show that, Pam and Kim go through a quick Problem String that builds a less known, but super powerful, division strategy. Talking Points:The importance of hydrationUsing equivalent ratios to solve gnarly divisio
Counting strategies can often go overlooked. It isn't easy learning to count in a way that prepares students for additive reasoning. Think we're wrong? Just wait till you listen to this episode! Pam and Kim discuss how to help young learners in
Rapid fire time! In this episode Pam and Kim show how three popular models - hundreds charts, base ten blocks, and algebra tiles - while powerful for developing reasoning, can even be harmful when taught as tools for computation. Talking Points
Continuing their series on modeling, Pam and Kim discuss the advantages and pitfalls of Ten Frames. They emphasize the power of models that can become tools for reasoning, and use Ten Frames as an example of how teachers can focus too much on m
Let's keep talking about modeling! A lot of you may be familiar with Number Bonds and Tape Diagrams and be wondering about how they fit in with our modeling framework. In this episode Pam and Kim discuss these types of models to illustrate the
Are manipulatives sometimes overhyped? When are they useful, and when can they actually get in the way of the mathematics? What role do they play in our discussion about the modeling framework? Pam and Kim discuss these tricky questions, and di
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