In 1900, mathematician David Hilbert famously published 23 as yet unsolved math problems. The problems covered a large swath of math fields. They served as a challenge and inspiration for 20th century mathematicians. I propose taking that same approach to laying out your content units for the year. Most syllabi showcase content via unit titles: … Continue reading Math Syllabus Bootcamp Part 4: Anchor Problems. A Hilbert-ian approach to curriculum mapping
In Part 1 of this mini-series, we looked at how we can promote diverse identities in mathematics from the first artifacts students see: you, your syllabus, and your classroom. Here in Part 2, we’ll examine the mathematical habits, behaviors, and skills that ensure students will be able to participate fully. Like with identity, students and … Continue reading Math Syllabus Bootcamp Part 2: Smartness. What does it mean to be a mathematician?
Part 1: Identity: Who is a mathematician? (Good morning and welcome to Math Syllabus Bootcamp! This is Part One of a five part Emergent Math mini-series. Today’s topic is on how to incorporate and welcome diverse identities from the very outset of the school year. Be sure to check out the other parts of this … Continue reading Math Syllabus Bootcamp Part 1: Identity. Who is a Mathematician?
This blog post introduces a new mini-series from Emergent Math: your math syllabus bootcamp. Also, be sure to check out Geoff’s previous mini-series: Routines, Lessons, Problems and Projects. I often stumbled into the school year. August appeared and suddenly I was aware that I needed to get back into a proper working routine. Most of … Continue reading Your Math Syllabus Boot Camp
This is a post in the ongoing Emergent Math mini-series: Routines, Lessons, Problems, and Projects. As we stand on the balcony and gaze out at our own version of the MCU (Math Class Universe) that consists of Routines, Lessons, Problems, and Projects, we must be sure we're not missing the crucial ingredient that stitches it … Continue reading Active Caring (and Epilogue): the essential ingredient
This is a post in the ongoing Emergent Math mini-series: Routines, Lessons, Problems, and Projects. I graduated high school twenty years ago this year. What's remarkable is how little I actually remember about my classes. I remember certain feelings I had towards particular teachers or classes, but not the actual classroom action itself. There are three exceptions. … Continue reading Projects: what they’ll remember in 20 years
This is a post in the ongoing Emergent Math mini-series: Routines, Lessons, Problems, and Projects. Ah problems. I have to reveal my bias here: I love problems. Problematic problems. Problems are where I honestly cut my teeth as an educator. If you're reading this blog, might have stumbled across my Problem-Based Learning (more on that … Continue reading Problems: then a miracle occurs
When you think of a math lesson, you probably conjure up an image of a teacher in front of the classroom demonstrating mathematical concepts. While that certainly qualifies as a lesson, I'd like to broaden your mental image. Consider a "lesson" any facilitated activity where students are building or practicing their content knowledge. In … Continue reading Lessons: the stuff we envision, only better
This is a post in the ongoing Emergent Math mini-series: Routines, Lessons, Problems, and Projects. If our model of Routines, Lessons, Problems, and Projects is a four-piece band, routines are our persistent drum beat. It keeps the pace going and maintains the momentum within and in between activities. Routines occur every day and throughout a … Continue reading Routines: the driving beat of your class
This blog post introduces a new mini-series from Emergent Math: Routines, Lessons, Problems, and Projects. In my time in math classrooms - my own and others' - I've developed a rough taxonomy of activities. Think of these as the Four Elements of a math class: the "Earth, Air, Fire, Water" of math as it were. … Continue reading Routines, Lessons, Problems, and Projects: the DNA of your math classroom