Visual Algebra: Sharing

I am teaching a Visual Algebra workshop in San Francisco, June 17-19.Support materials are on the workshop participants' Web site.Over the past couple of decades, there has been a trend to teach algebra to younger and younger students. That could actually be a good thing. But unfortunately, that has been interpreted as teaching the traditional… Continue reading Visual Algebra: Sharing

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.

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

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

About Student-Created Problems

In my last post, I reported on Avery Pickford's exciting presentation at the Asilomar conference. The idea of student-created problems was thought-provoking — here are some thoughts it provoked.I have no doubt that pursuing student-created problems is worthwhile, but a skeptic may not be convinced by the argument that we should do this because it… Continue reading About Student-Created Problems

Student-Created Problems

This is the continuation of my report on last weekend's Asilomar conference. (Previous installment.)Avery Pickford's session was about student-created problems. You can read a summary on this blog (Without Geometry, Life is Pointless). Creating problems is, after all, what mathematicians do. Yes, they sometimes explore questions that have been posed by others, but even then,… Continue reading Student-Created Problems