Coding for All?
Some time ago, I argued that computer programming is a literacy, because it enhances learning in other disciplines, especially math. It is not nearly as important as reading and writing, which apply to all subjects, or as math, which applies to all sciences. But given the place of the computer in modern life, and the… Continue reading Coding for All?
12th grade math options
I just posted Isometries of the Plane on my Web site. It is a transformational geometry unit aimed at high school teachers, and/or students in grades 11-12. It does go beyond the Common Core State Standards for Math (CCSSM), and thus might make sense as part of a precalculus course or a 12th grade elective.In… Continue reading 12th grade math options
Northern California December Events
I suspect that some readers of this blog do not subscribe to my newsletter, so I will use this post and the next to let you know about some news in my math education life. If you did get the November issue of the newsletter, you might read on anyway, as I will be going… Continue reading Northern California December Events
I am often asked "what is the best way to teach equation solving?" (or graphing, or factoring, etc.) Conversely, teachers often want to share with me what they deem the best way to teach students how to do certain things. These conversations are based on a widely-held belief that our job as math teachers is… Continue reading How To
Triangle Congruence and Similarity tweaks
I just tweaked my documents on a transformational approach to triangle congruence and similarity, thanks to feedback from Bill McCallum.- Version 1 (more opinionated and footnoted)- Version 2 (co-authored with Lew Douglas, better section on similarity)The main change is to the SAS proof, which did not correspond to its illustration. If you downloaded earlier versions,… Continue reading Triangle Congruence and Similarity tweaks
Geometric Construction for Middle School
If you've been reading my blog for a while, you know that I'm a big fan of geometric construction. I have written about it here more than once, and my Web site includes quite a bit of curriculum involving construction. See the end of the post for additional links. I have many reasons for this… Continue reading Geometric Construction for Middle School
Perpendicular bisector theorem
Under the assumptions of the Common Core, the triangle congruence criteria (SSS, SAS, ASA) are no longer postulates. Instead they are to be derived from transformational geometry. There are many consequences to this state of affairs, and I have written about it on this blog: one, two, three. I have developed bits of curriculum, which… Continue reading Perpendicular bisector theorem
Summer Workshops, 2015
I'll be teaching four workshops this summer, in two new locations: Seattle, and Waltham, MA (which is a half-hour West of Boston.) If you've meant to attend my workshops in the past, but couldn't make it to San Francisco, New York, or DC, perhaps these venues are more convenient for you? There will be no… Continue reading Summer Workshops, 2015
One good thing about the Common Core middle school standards is the emphasis on proportional relationships, and the fact that they are approached in a multidimensional way. In addition to "set up a proportion and solve it", which is probably the most common way to teach this, the standards propose multiple representations and a variety… Continue reading Proportional Relationships