The California Association of Independent Schools will be holding its every-other-year Northern California Regional Meeting on March 11 in Oakland. If you work at a member school, I may see you there. Here is what I plan to do that day:Session 1: I will join Laura Hawkins, who succeeded me as math department chair at… Continue reading CAIS North
Tag: Technology
Bay Area Circle for Teachers
I will present an overview of the mathematics and pedagogy of function diagrams at the Winter Workshop of the Bay Area Circle for Teachers, on Saturday, January 26, in Jack London Square in Oakland, CA. Function diagrams are also known as the parallel axes representation, and a computer version is sometimes called "dynagraph". There's a… Continue reading Bay Area Circle for Teachers
Integrating y=x^2
I added a new page to my Web site. It's a visual proof that the integral of y=x2 from 0 to b is indeed b3/3.Some interesting things about this proof:It was discovered by Jacob Regenstein, a high school student.It does not involve any algebraic manipulation.It shows a dramatic example of how integration increases the degree… Continue reading Integrating y=x^2
New Lesson
I posted a new lesson on my Web site: Comparing Cell Phone Plans. I wrote the lesson as part of a project I worked on with Amanda Cangelosi, an ex-colleague and currently a prof at the University of Utah. We were auditioning for a new online math lessons Web site. We did not make the… Continue reading New Lesson
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
Using interactive geometry
This is the final post of my report on the Asilomar conference. (To read the whole set, start here.)I made a cameo appearance in my colleague Scott Nelson's presentation on how using computer software intelligently has made his Analytic Geometry course vastly more accessible. I loved his presentation. (If you teach in a member school… Continue reading Using interactive geometry
The third dimension!
This is another post about sessions I attended last weekend at the Asilomar Northern California CMC conference. (To read the whole set, start here.)Kevin Rees presented two variations on a classic volume optimization problem. In the traditional problem, you start with a square piece of cardboard, cut off congruent squares at the four corners, and… Continue reading The third dimension!
Workshops in New York in August
I will be leading two summer workshops for teachers in New York City, Aug 13-17.The early-bird registration discount (15% off) is being extended to June 25.VISUAL ALGEBRAI have offered this 3-day workshop, and various parts of it, many, many times. It's about intelligent use of manipulatives and technology, plus a parallel axes representation. Also: three… Continue reading Workshops in New York in August
Puzzles in math education
Scott Kim, the author of the excellent Inversions, is launching a crusade to bring more puzzles to math education. He gave a talk on this subject at the Gathering 4 Gardner. (See the slides.) Martin Gardner, of course, is the author of the long-running Mathematical Games column in Scientific American. He inspired who knows how… Continue reading Puzzles in math education
Early Bird Discount
About three months ago, I mentioned my summer workshops for teachers and summarized how they will differ from their previous incarnations.Brief recap:- Hands-On Geometry, June 18-21 in San Francisco- Visual Algebra, August 13-15 in New York City- Re-imagining High School Math, August 16-17 in New York CityThe workshops are sponsored by the Center for Innovative… Continue reading Early Bird Discount