Lessons, Commentary, Coaching, and all things mathematics.

Geoff Krall | geoff@emergentmath.com

Check out 180 complimentary warm ups intended to bridge the gap between 5th and 6th grade!

Check out 180 free Algebra warm ups intended to bridge the gap between Algebra 1 and Algebra 2!

Want to learn more about how I can support you in-person or virtually? Check out some of my Coaching, PD, and Workshop ideas.

I’ve done a lot of longform blogging. I call them “mini-series” where I do a deep dive into a particular aspect of math instruction.

My book about math instruction and accompanying card sets for professional development use.
“THANK YOU for helping to make teaching math more relevant and helping me feel at ease because I still suck at math but will always continue to learn all I can so as to reach out to more students to help them love math too!”
— Secondary Teacher, Idaho
“The resources provided were very helpful and easily applicable! There were several opportunities for participation and conversation that were non-threatening and reflective!”
— MS Teacher, Michigan

(Usually I reserve my longform blogging projects or other math projects on this website for the Summer. However, I’ve been working on this mini-series for months now and finally have enough time to figure out what I want to convey. Also I was waiting to figure out what the next chapter of my story in…

A year’s worth of math warm ups intended to help students and teachers get kids ready for middle school math.

Education journals are calling for papers on AI, but educators have barely even had access to it. So what kind of research on AI are we going to see in 2024?

It’s important as seasoned Math teachers we remember what it’s like to experience new content. Modern tabletop games might be the best way to create those experiences.

This semester I taught College Algebra and Developmental Math at a community college. Being new to the institution, I mostly hewed to the standards and progressions and textbooks from prior iterations of the course taught by more tenured faculty. However, I did make one significant change: the graphing calculator. While previous iterations of the course…

My students really appreciated self-checking exercises this semester iin College Algebra. This post offers some benefits and examples of self-checking exercises using Desmos’ Activity Builder feature.

Necessary Conditions was published five years ago this Fall. I’m not sure if five years is a long time or a short time, but it’s a natural time frame to reflect on the book (since we evolved to have five fingers instead of, say, four). So I apologize in advance for what is sure to…

I am rereading Liping Ma’s Knowing and Teaching Elementary Mathematics for a class. It’s an exceptional book; I’d put it on the Mount Rushmore of books about math education (that might be a post for another day). For those who haven’t read it, the book is an exploration of elementary math instruction in the U.S.…
In 2019, North Carolina attempted to push through a bill that would force trans individuals to use the bathroom of their sex assigned at birth, rather than their current gender. It was only a few years ago, but there was mass outrage in a way that seems unthinkable today. Most notably, the National Basketball Association…
