All Learners Network

Division shows up in third grade and follows students all the way through middle school. So why do so many students still struggle with the same fundamental question: what does division actually mean?
The answer often comes down to how we teach it.

Our latest blog article breaks down the nine Cognitively Guided Instruction (CGI) problem types, the difference between partitive and quotitive division, and three problem structures every math teacher should know. Whether your students are stuck on the numbers or the context, you will walk away with practical strategies to diagnose the struggle and build flexible, lasting understanding.

Read it here:

Moving Beyond "How Many in Each Group": Teaching Division Problem Types Why do so many students struggle with division even after years of practice? The answer often comes down to how we teach it. This article explores the nine CGI problem types, the difference between partitive and quotitive division, and three problem structures every math teacher should know — plus...

Two questions that can open up a whole classroom conversation. 💬

➡️ What do you notice?
➡️ What do you wonder?

"What do you notice? What do you wonder?" is one of the most powerful ways to invite every student into a math discussion, regardless of where they are in their learning. There is no wrong answer, and that is exactly the point.

Try this image with your students and tell us what you notice, and what you wonder? Drop your thoughts in the comments below! 👇

What if the most important teaching decision you make happens before the lesson even starts?

In his latest Founder's Corner article, ALN founder Dr. John Tapper shares a story from a preschool classroom that stopped him in his tracks. A teacher named Nancy made one offhand remark about a shy four-year-old named Suki, and it reframed something John had been getting wrong for thirty years.

The insight? If the student is in the play kitchen, the math has to go to the play kitchen. Not a different curriculum. Not lower expectations. A different starting point.

It is a short read with a big idea. Check it out: https://hubs.li/Q04kns-z0

Place value is so much more than ones, tens, and hundreds. And for many of us, school never showed us that. 💡

Join us on Wednesday, June 10 for our free virtual workshop, More Than Tens and Ones: Supporting Students' Place Value Understanding. In just one hour, we will peel back the layers of place value, trace how students develop number sense over time, and give you practical, classroom-ready tools you can use right away.

You will walk away with a fresh perspective on place value, high-leverage routines to jumpstart your math block, and games that make deep conceptual work feel like pure play.

This is our last free workshop of the 25-26 school year, so do not miss it!

📅 Wednesday, June 10, 2026
⏰ 3:30 to 4:30 PM EST
💻 Virtual
🎟️ FREE

Register today: https://hubs.li/Q04jPJ6q0

This one is for every math teacher who shows up for their students day after day.

"In mathematics, the art of teaching is the art of assisting discovery." - Mark Van Doren

You don't just teach numbers. You guide discovery. And we are grateful for every one of you. Explore free resources
built with math educators in mind at https://hubs.li/Q04jCFK10

We have been working on something, and we cannot wait to share it with you.

Something is coming next week that captures everything we believe about math education and why this work matters.

Stay tuned. 👀