I'll be offering a workshop at East Bay Charter Connect's Third Annual Charter School Symposium on Friday, October 11, in Oakland, CA. My theme is "Connecting the Dots (math on the geoboard and dot paper)". This will include selected topics in algebra and geometry: area, distance, the Pythagorean theorem, simplifying radicals, dilation, slope, and more!… Continue reading Upcoming workshop and presentations
Tag: Geometry
New Transformational Geometry Page
I've added a Transformational Geometry page to my Web site. I expect it will grow over the next year, as I get further into this and develop new ideas and materials. (See also my earlier post on transformational geometry, which generated an interesting response.) --Henri
Interactive Geometry Software
Some years ago, I started using interactive geometry software. My application of choice was Cabri, because I appreciated its mathematical depth and the elegant simplicity of its interface. I developed a number of Cabri-based activities, many of which you can find on my Web site. For example:function diagrams, the geometry of the parabola and ellipse, factoring… Continue reading Interactive Geometry Software
Transformational Geometry, cont’d.
As I mentioned in a recent post, I will be one of the presenters at the Bay Area Math Project's summer workshop on Transformational Geometry. As part of preparing for this, I went through my notes, and compiled a sort of syllabus of the relevant lessons from my Space course. Symmetry and transformations are the… Continue reading Transformational Geometry, cont’d.
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
Symmetry in Spain
My wife had a conference in Spain, so we built a vacation around that. It turns out that Spain is a fun place to visit: great art, great food, and well, great math. For example, you can buy a book about the golden ratio from a news kiosk on the street: Unlike us as a… Continue reading Symmetry in Spain
Transformational Geometry
One of the features of the Common Core content standards in secondary school is a change in the foundations of geometry. Instead of basing everything on congruence and similarity postulates, as is traditional, the idea is to build on a basis of geometric transformations: translation, rotation, reflection, and dilation. This is an interesting change, but… Continue reading Transformational Geometry
Working with Pentominoes
Much of this information is outdated. See an updated post here. Didax just published my book Working with Pentominoes. It is geared to grades 4-8, though I use some of the content in high school. Pentominoes are a geometric puzzle, a staple of recreational mathematics. This is what they look like: You can read… Continue reading Working with Pentominoes
All of high school math in one year?
In my previous post, I responded to Michael Thayer's comments about my Mathematics Overview. In this post I will respond to Mike's proposal for a one-year course to replace all of high school math.Mike and I largely agree about the failings and shortcomings of traditional curriculum and pedagogy, but I don't agree with his solution.… Continue reading All of high school math in one year?
More on the Mathematics Overview
In his Hyperbolic Guitars blog, Michael Thayer writes:I've been mulling over the one-year course idea some more. And what to my wondering eyes did appear (thank you, @tieandjeans) but this really spectacularly well-thought-out and well-organized course outline created by Henri Picciotto. It's got everything, really, that I'd love to see in the course I'd proposed, and it… Continue reading More on the Mathematics Overview
Henri's Math Education Blog 