Free Videos

So if you’re here it’s probably because you’re as excited about helping your children with math as we are.

Try exploring these free videos to give you a greater sense of what’s possible. Click each video and explore the power of decomposing numbers or how bar modeling can develop into one of your most powerful tools for solving word problems.

We hope this is helpful and would appreciate your feedback and questions.


                                                                                                                                                               - Sarah and the [Math]odology Team

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Monthly Showcase Videos


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Mathodology Roundtable - Number Sense
John SanGiovanni & Sarah Schaefer 


John SanGiovanni's session on number sense has us all rewriting the definition.
Three key ideas from the session:
Idea #1: Number Sense is not intuitive. Number sense is developed through exposure and opportunity. Routines are the perfect opportunity for small amounts of short, but intentional moments to develop number sense.
Idea #2: Number Sense doesn't just involve decomposing numbers, but also involves understanding magnitude, counting, comparing, estimation, and more.
Idea #3: Don't just make a number sense routine an activity. Don't just listen for the answer. Be sure to inquire. As John modeled asking, try "What's something you had to think about to find your solution?"
Be sure to review the recording and pause the screen to get any directions for the routines presented. We always love having John on our webinars. We walk away with so many tangible ideas!
What routine are you trying in your classroom?
Share with us how it goes!

Math Concepts


Part-Whole Relationships

Decomposing Numbers-Operations

Adding and Subtracting Large Numbers

Multiplying Two-Digit Numbers










Key Ideas -

Beginning Bar Modeling

Bar Modeling Across Middle Elementary




Social Media Q/A

Instagram Post March 2023

Just curious, how would you solve the first one if a child has not started algebra as yet? That's the only method coming to mind. How else can I facilitate this?


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Math Practices​


Modifying an Anchor Task

Planning a



Mathodology Monday​

Building Thinking Classrooms

Sarah Schaefer and Dr. Peter Liljedahl​


Building Thinking Classrooms-Questioning

Sarah Schaefer and Dr. Peter Liljedahl ​

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Building Thinking Classrooms-Assessment

Sarah Schaefer and Dr. Peter Liljedahl​

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Building Thinking Classrooms

Classroom Setup

[Math]odology Favorites - Education​

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How you can be good at math, and other surprising facts about learning
| Jo Boaler | TEDxStanford​
Five Principles of Extraordinary Math Teaching
| Dan Finkel | TEDxRainier​
Assessment: The Silent Killer of Learning
|Eric Mazur ​
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Every kid needs a champion
| Rita Pierson​
The Power of Belief - Mindset and Success
|Eduardo Briceno​
Ability Grouping
|Professor John Hattie​

[Math]odology Favorites - Inspirational​


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Kodi Lee: Blind Autistic Singer WOWS And Gets GOLDEN BUZZER!
|America's Got Talent 2019​
Gary Woodland surprises Amy from Special Olympics Arizona 2019​

In the Media - About Singapore Math​


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Jade Educations​
Dan Rather- Take a Lesson from Singapore​