My defense of eclecticism in teaching generated a strong positive response from teachers, perhaps because I articulated a widely held resentment about the fads that blow through the educational landscape. But interesting questions were raised about what I wrote. In my last post, I tried to clarify my views on math education research. Today, I… Continue reading Fads and Memes

## Eclectic

In between June 27 and August 4, 2016, I presented seven to ten workshops (depending on how you count) ranging from a couple of hours to four days. I share most of the handouts, resources, and slides on my Summer Workshops site. (See below my signature for more details on what's there.)The site will remain… Continue reading Eclectic

## Fractions

I have a new Fractions mini-home page, with links to three pages on my site. In this post, I'll use it as an excuse to discuss some general ideas about teaching.Visual RepresentationsIn my Fraction Arithmetic page,  I present a visual strategy for figuring out how to add, subtract, and multiply fractions. (There is also a… Continue reading Fractions

## Making a Vector in Desmos

A couple of years ago, during a workshop on transformational geometry, a participant objected when I used and recommended GeoGebra and not Desmos. Her main argument was that students love Desmos. Fair enough, but that does not make up for the fact that Desmos is mostly about graphing, while GeoGebra includes the many basic and not-so-basic… Continue reading Making a Vector in Desmos

## Visual Algebra

I will be teaching two instances of my Visual Algebra workshop this summer: grades 7-11, June 27-30, in Oakland; and grades 6-9, July 25-27, in Saint Louis. (More info). This is probably the topic I have presented the most often in the last 25 years.To many students, not to mention teachers, parents, and administrators, algebra… Continue reading Visual Algebra

## Animated Demonstrations

New on my Web site:→ Animated slides on the Lab Gear model for signed number arithmetic.Note that for each operation, the model is based on what students already know. For addition, you put down the first number, then the second number, and finally count. For subtraction, you put down the first number, take away the… Continue reading Animated Demonstrations

## First Day of School

For most of you, school started recently, or will start soon.  For me, this is the beginning of the third year of my retirement, and I'm starting to get used to the weirdness of my new life.It turns out that August is by far the most intense work month for me, because that's when I… Continue reading First Day of School

## Integer Sequences

Last winter, I attended an interesting meeting of mathematicians and math educators in Banff, Canada. Our charge was to compile a list of integer sequences that would offer suitable problems for students (and teachers) at each level from Kindergarten to 12th grade. It was a sequel to 2014's Unsolved K-12 meeting, and once again was… Continue reading Integer Sequences

## Constant Sums, Constant Products

I just cleaned up an existing page on my Web site: Constant Sums, Constant Products, "an untraditional approach to traditional topics". This is a mega-unit, spanning content from middle school, all the way to what one might call "teachers' mathematics." Take a look at it on a summer day when you have a little time… Continue reading Constant Sums, Constant Products