emergent math

Lessons, Commentary, Coaching, and all things mathematics.

Emergent Math

Geoff Krall | geoff@emergentmath.com

Illuminating 5th-to-6th Grade Warm Ups

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

Problem Based Curriculum Maps

Check out my Common Core Problem Based Curriculum Maps (Grades 3-11)!

Algebra Warm Ups for Geometry Teachers

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

Coaching and PD

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

Geoff’s Longform Math Education Miniseries

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.

Necessary Conditions

My book about math instruction and accompanying card sets for professional development use.

Feedback from Geoff’s Professional Development

“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

From the blog

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  • Emergent Math Winter Mini-Series: How (not) to get your PhD

    Emergent Math Winter Mini-Series: How (not) to get your PhD

    (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…

  • Explainer Post: A Year’s Worth of Illuminating 5th-to-6th Grade Warm Ups

    Explainer Post: A Year’s Worth of Illuminating 5th-to-6th Grade Warm Ups

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

  • We’re about to get a lot of dubious research on A.I. in education

    We’re about to get a lot of dubious research on A.I. in education

    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?

  • Experiencing novice-ness through tabletop games

    Experiencing novice-ness through tabletop games

    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.

  • My semester with Desmos Activity Builder

    My semester with Desmos Activity Builder

    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…

  • What’s so great about self-checking exercises?

    What’s so great about self-checking exercises?

    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’ Five Years Later

    ‘Necessary Conditions’ Five Years Later

    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…

  • Reconceptualizing “more math” for pre- and in-service teachers

    Reconceptualizing “more math” for pre- and in-service teachers

    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.…

  • No pushback: So I guess education has given up

    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…

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