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"
Tag: Teaching
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
Embracing Contraries
In 1983, Peter Elbow, a professor at Stony Brook University, wrote a profound article about teaching. It was titled "Embracing Contraries in the Teaching Process" and was published in College English, Volume 45, Number 4. The article was very important for me. It helped me clarify my thinking about education — even though Elbow is… Continue reading Embracing Contraries
Intelligent sequencing vs. external mandates
Some time ago, Mike Thayer posted a comparison of Algebra 1 and Geometry as they are experienced in the classroom. He concluded that since geometry is so much more real to students, and lends itself to interesting connections, perhaps it should be taught first.In response, I suggested that moving specific topics up and down the… Continue reading Intelligent sequencing vs. external mandates
Common Core and "Assessment"
I attended a the Critical Issues in Math Education (CIME) meeting in Berkeley (my home town) a few weeks ago. It was a decent mix of math ed researchers, mathematicians, teachers, and people who work for various nonprofits connected to the Common Core State Standards (CCSS). I was pleased to see they did involve some… Continue reading Common Core and "Assessment"
Dialogue (continued)
Here is the continuation of my conversation with Mike Thayer.The quotes are from this post on his blog.I am curious about what you mean by "teach better, not less"I have discovered a truly remarkable approach to teaching which this post is too small to contain. See for example: Nothing Works For a Tool-Rich PedagogyAnd… Continue reading Dialogue (continued)
Function Diagram Slides
I posted slides from last Saturday's talk about function diagrams on my Web site. I don't imagine they'll be that useful, unless you want to use them in one of your presentations, but on the same page you can read the article the presentation was largely based on, and find links to many PDFs, animations,… Continue reading Function Diagram Slides
Solving Inequalities
One topic that has nearly vanished from my teaching is the solving of inequalities "by hand". There are several reasons for that choice:The techniques are difficult to teach and difficult to learn, because they are so close to the ones for the solving of linear equations, but differ in one crucial case.It is difficult to… Continue reading Solving Inequalities
