A three-part series on tessellations:
Tiling: Where I argue that tessellation is a worthwhile topic in the math classroom.
Tiling and Transformations: Where I zero in on one particular part of the curriculum.
Tiling in Geogebra: Where guest poster John Golden explains how to “Escherize” a tiling.
Virtual Manipulatives, Part 1: Some philosophizing about learning tools, and an introduction to the Virtual Lab Gear.
And Virtual Manipulatives, Part 2: A discussion of several GeoGebra-based virtual manipulatives, including the Virtual Geoboard , Virtual Grid Paper, Virtual Circle Geoboard, Virtual Tangrams, and Virtual Pentominoes.
Sum and Difference of Cubes: How to use the Lab Gear to prove those formulas.
Updates to my Math Education Page
In my Comprehensive Site Map, I highlighted all the links to pages which lend themselves to distance learning.
New Applets: I used GeoGebra to make new applets — Virtual Geoboard, Virtual Circle Geoboard, Virtual Grid Paper, Virtual Pentominoes, Virtual Tangrams, and Symmetry with Pattern Blocks. Also Google Drive for Virtual Lab Gear and Virtual Tiles. In each case, my goal was to offer useful features to compensate for the loss of immediacy of physical materials.
Symmetry: I created a home page for this topic, including links to existing materials, to photos of student-created designs, to a unit for elementary school, and to Symmetry Labs, a new online unit for middle school and high school.
What else is new
Dec 6 2020, 9-10am: I’ll present “Symmetry: a unifying thread across grades and cultures” at the California Math Council-North virtual conference. We will explore line and rotational symmetry with activities on free online platforms. We will analyze examples from all over the world. Bonus: links to online symmetry projects, as well as hands-on activities using mirrors, pattern blocks, tangrams, pentominoes, templates, and special papers for when you’re back in the classroom.
Nov 10, 4:30-6:00pm PST: AC3ME and SFMTA (two Bay Area NCTM affiliates) hosted my workshop about some of my website’s free virtual manipulatives (Geoboard, Grid Paper, Lab Gear, Tiling, Pentominoes.) I showed how to use them, and suggested a problem for each one so that participants can practice then and there.
Sep 29: I sent out my e-newsletter, which was largely focused on virtual manipulatives. I announced two upcoming online workshops: Nov 10, on virtual manipulatives (grades 6-12), and Dec 6 at the California Math Council North annual meeting) on symmetry.
27 November 2018: I moved my blog into WordPress (here.) I thought the move had happened smoothly, but some graphics, and some entire posts, failed to materialize. Also, many links are broken. If you come across these problems, please notify me, indicating which post had the issue. Thanks!
I have retired from the classroom after 42 years as a math teacher in K-12 — from counting to calculus. I now work with teachers and schools:
Math Education Consulting
On this page: announcements about new material, updates, etc. on the site; new publications; my appearances at conferences; and my other activities in math education.
Note: All material on this site is copyrighted. You may reproduce it for any non-commercial purpose, as long as you credit me and link to the blog. More info.
(I am also involved in word puzzles, especially cryptic crosswords.
More on this.)