If you are familiar with my curricular creations, you know that I often use the geoboard as a microworld to introduce interesting problems and important concepts. This is in line with my call for a tool-rich pedagogy. (A geoboard is a square lattice pegboard on which students use rubber bands to create and investigate geometric… Continue reading Geoboards and Dot Paper
Tag: Teaching
"Enrichment"
During my first ten years as a teacher, I worked in elementary schools. In addition to team teaching my own class (grade 3, then 4, then 5) I was a math specialist for grades K-5. The basic idea was that there was "normal" math (a lot of arithmetic, textbook-based), and there was "enrichment" math. I… Continue reading "Enrichment"
Math and Art
Many years ago, I team-taught a class called "Math and Art" with my then-colleague Stephen Thomas, who was an art teacher at The Urban School. Like most such endeavors at any school, the class was short-lived — I believe we offered it twice. However it was not in vain: some of that curriculum found its… Continue reading Math and Art
NY Times special issue
The New York Times special issue on math and science education on September 2, 2013, included some worthwhile items."Cognitive Science Meets Pre-Algebra" reports on a recent study of "interleaving homework" in a middle school in Tampa. The idea was to compare the usual approach (homework is on the topic currently under study) with interleaving, which… Continue reading NY Times special issue
Extending Exposure
Not all students learn new math concepts at the same rate. Everyone knows this. Can anything be done about it?This is part of a multifaceted strategy to teach heterogeneous classes. Read about it in this article: Reaching the Full Range. Most schools attempt to make the problem more manageable by tracking students into Honors, Regular,… Continue reading Extending Exposure
One Should Separate Related Topics!
This is part of a multifaceted strategy to teach heterogeneous classes. Read about it in this article: Reaching the Full Range.In a previous post, I discussed the benefits of "lagging homework". These included extending student exposure to new ideas, which benefits everyone: stronger students get the forward motion they want and need, and students who… Continue reading One Should Separate Related Topics!
"A New Algebra"
About twenty years ago, along with Anita Wah, I wrote "A New Algebra", a paper for the Journal of Mathematical Behavior (JMB). It was an attempt to address what I saw as a crucial issue in secondary math education: on the one hand, the traditional Algebra 1 course was the gateway to any further work… Continue reading "A New Algebra"
More on Homework
In response to my previous post, Mike Thayer asks: "What's your take on no homework at all? " Most learning happens in class, and one should not overdo homework. Too much homework only antagonizes kids and in most cases, it does not help their learning. On the other hand, a small amount of homework is… Continue reading More on Homework
Lagging Homework
This is part of a multifaceted strategy to teach heterogeneous classes. Read about it in this article: Reaching the Full Range.One concept which has been extremely popular every time I've offered my workshops is "lagging homework". The idea is to completely separate tonight's homework from today's class work. I tend to assign homework about ideas… Continue reading Lagging Homework
Reimagining High School Math: Sharing
I am teaching a workshop in San Francisco, June 20-21, on "reimagining high school math".Support materials are on the workshop participants' Web site.Participants: please use the comments below to share ideas, resources, and questions. --Henri
Henri's Math Education Blog 