Technology influences both the content and the methods of math education, but the impact is slow and gradual, not sudden and dramatic. This is in part because it takes time for technology to reach the classroom, but it is especially because school and societal culture develops unevenly. In this post, I think about some specific… Continue reading Technology in Math Education
Author: hpicciotto
We need to review!
It is a serious mistake to present important concepts only once, and move on. Most students need extended and repeated exposure to challenging ideas before those sink in. As I became more and more aware of this in the course of my decades in the classroom, I started to think in terms of a “preview… Continue reading We need to review!
Polyarcs in the Classroom
You may be familiar with polyominoes, the figures that can be made by connecting unit squares, edge to edge. For example, these are the tetrominoes, each one made of four unit squares: Polyominoes are an example of polyforms. I discussed polyforms in this article: Geometric Puzzles in the Classroom. In particular, this is where I… Continue reading Polyarcs in the Classroom
Making a GeoGebra Slide Show
I’m a long-time user of interactive geometry software, of which the dominant instance these days is GeoGebra. Here are some ways it’s enhanced my teaching over the years. Most obviously, it provides an environment for students to explore geometry and geometric construction. I’ve written much about it on this blog, and shared some curriculum on… Continue reading Making a GeoGebra Slide Show
No Best Way
In 2020, I wrote No One Way, a blog post which I used to explain my website’s motto (“There is no one way.”) I argued that it is the math itself that demands that we approach important topics in multiple ways. As it turns out, this is a favorite topic of mine: in 2016, I… Continue reading No Best Way
Mentoring Young Teachers
In a recent post I addressed young teachers. Today I write to their mentors. (If you’re a mentor, you should probably read both posts.) I chaired the math department in a small private school for almost 30 years. When we had an opening for a math teacher, the head of school made the final decision, but I was asked to… Continue reading Mentoring Young Teachers
Lab Gear, the Great Connector
I had the good fortune of mentoring Liz Caffrey for five years, at the very beginning of her teaching career, when she worked at the high school where I chaired the math department. She is now a veteran and talented middle school teacher in the Boston area, but we’ve stayed in touch. In this guest… Continue reading Lab Gear, the Great Connector
Dear Young Teacher
Dear young teacher, I am retired from schools, after 42 years in the classroom, grades K-12. In the second half of my career, I ended up mentoring a number of young first-year teachers. In general, that went very well, so I thought I would share some ideas about what made it work. Also, I participated… Continue reading Dear Young Teacher
Project SEED
Like most teachers, I learned the craft on the job, with the help of colleagues. The formal training I received in college was not that useful, with one exception: my short stint as a Community Teaching Fellow (CTF) when I was a math graduate student: I got paid as a Teaching Assistant, but my teaching… Continue reading Project SEED
The Calculus Project
This is a guest post by Adrian Mims, one of the author of the open letter I responded to in Yet More on the California Framework (Part 1) and (Part 2). Read it, and click on the links therein. -- Henri --------------------------------------------------------------------- Hi Henri, Thank you for sharing the links to your posts. The one… Continue reading The Calculus Project