In addition to my blog on WordPress (this site) I maintain a huge math education site, featuring articles about teaching math and tons of curricular materials. You should definitely check it out. I keep track of updates to the site on this page.
I added a page on Big-Picture Planning: thoughts on how to map out a program, a course, a unit.
I added yet more evidence that all parabolas are similar on my Geometry of the Parabola page. This time a GeoGebra figure showing that given two parabolas with parallel axes of symmetry, one is a dilation of the other.
I fixed a bug and made a few tweaks in the complex number arithmetic games.
I added four GeoGebra applets: games to help students’ understanding of signed number arithmetic. (Note that the Snap! version of the games is currently unavailable.)
On my Geometry of the Parabola page, I added a video guide to a construction of the parabola, and a new GeoGebra applet to show the parabola as the envelope of a family of lines.
On my Doctor Dimension page, I added Window Shades, a bunch of Precalculus lessons by Rachel Chou, inspired by the flat Doctor, and somewhat more “real world”.
On my Sequences and Series page, I added a short video on the use and misuse of formulas for arithmetic and geometric sequences and series.
I added Pent, a two-person strategy game played on a stretched out soccer ball — an invention of George Mills.
I improved my Spirograph Simulation: it is faster, and it is now possible to hide the moving parts so as to better see the final image.
I added three free-download Pentomino Puzzle Books to the site.
I updated my Summer Workshops page with descriptions of my two online workshops: Symmetry (grades 6-8) and No Limits! (Algebra 2, Trigonometry, Precalculus).
I added Hana Murray’s mind-boggling side-10 creation to the pattern block dodecagon exhibit.
I added links, fixed formatting, and made assorted tweaks in Tiling Rectangles with Polyominoes, Geometry Labs, Manipulatives, Tiling, About Teaching, For a Tool-Rich Pedagogy, and Teachers’ Mathematics.
I added two online presentations to my Talks page: “Transformational Geometry for Teachers”, and “Geometric Puzzles, Virtually”.
I added a new site map: an alphabetical Directory of Directories.
Four Basic Isometries: I made a few tweaks.
I added two online presentations to my Talks page: “Virtual Manipulatives”, and “Symmetry”.
In my Comprehensive Site Map, I highlighted all the links to pages which lend themselves to distance learning.
I added a new unit for remote instruction: Symmetry Labs, a dozen activities for virtual middle school and high school. Because much of it can be used in the classroom, and in elementary school, I linked to many relevant items that were designed with that in mind.
Algebra Lab: High School: I made the PDF of the book searchable.
Virtual Grid Paper: I added “Pen” to the tool bar, set default colors, turned on “fixed to grid” point capture, and made it so that the grid did not change under your figures when you zoom in or out. I added links to relevant activities.
Virtual Geoboard: I added “Point” to the tool bar, and set default colors for each tool. I also turned on “Fixed on Grid”, which means that all points, segment endpoints, and polygon vertices will have whole-number coordinates. I added links to relevant activities.
Pattern Block Dodecagons: I added designs by Hana Murray.
Virtual Pentominoes: A new GeoGebra applet — suitable for remote learning.
Virtual Circle Geoboard: More along the same lines. I added the ability to hand-write to this, the Virtual Geoboard, and the Virtual Grid Paper.
Virtual Geoboard: No rubber bands, but that will not interfere with the math! You should be able to use it for any Geometry Labs geoboard activities, or any of the activities I link to on the Geoboard home page.
Symmetry with Pattern Blocks: I added an applet to make it possible to explore Geometry Labs 5.6 online.
Virtual Lab Gear: I made these more user-friendly, both in the design and in the instructions.
Symmetry in Spain: I posted photos from a 2013 vacation, mostly because they include the amazing Islamic tile work at the Alhambra.
Virtual Grid Paper: Another GeoGebra applet, useful for grid paper activities if you don’t have the physical kind, or if you need greater accuracy and absolutely straight lines.
Tangrams: I added virtual tangrams (in a GeoGebra applet).
Geometry Labs: I corrected the wording in Lab 3.9 (Triangulating Polygons). The original version allowed for situations where the answer given in the back was incorrect. Thanks to Austin Shapiro (and his students) for making me aware of this issue. His analysis is still on the site, to help people who used the old version.
Virtual Lab Gear: I created Google Drawings that teachers and students can use to make Lab Gear graphics. Useful for remote learning and collaboration, for presentations, to include in other documents — and who knows what else.
Symmetry: I created a home page for this topic, including links to existing materials, to photos of student-created designs, and to a brand new 10-lesson unit for elementary school.
Simon Gregg is creating his own pattern block wallpapers, which I’ll add to the Wallpapers Catalog.
Pattern Block Dodecagons: I added several figures to that page, all suggested by math educators on Twitter. I also expanded the discussion questions.
Wallpapers Catalog: I used pattern blocks to create examples of all 17 mathematically different wallpaper designs. I’m hoping this will provide a friendly environment to explore symmetry, and that it will inspire others to create their own version of the patterns.
Geogebra files: Many GeoGebra files on my site would not open. Some of them are associated with applets — I fixed those some time ago. I have now fixed the remaining ones. From now on, all the .ggb files you download from MathEducation.page should open normally.
Applets: I restored many GeoGebra files which could not be opened by recent versions of the software. I think I got all of them, but let me know if I missed some!
Summer Workshop: This is the page about Hands-On Geometry, my 2020 summer workshop for middle school teachers. It will be hosted by Atrium School near Boston, July 21-23 and Synapse School in Silicon Valley, Aug 4-7.
Make your own Pentominoes: I added a laser cutter file (made by Eben LaPier) to my site. You can download it from my Geometric Puzzles page, where I explain why laser-cut pentominoes are preferable to the commercially available ones. The same page, of course, links to lots of puzzles for the classroom.
Fraction Arithmetic on Grid Paper: I drastically expanded this page, adding details, graphics, and five homemade videos. One big idea, with many uses across that domain.
Left or Right?: I tweaked and linked to this activity which can serve as review or assessment of understanding of y = mx + b. Answer without actually graphing: given these two linear functions, do the lines meet to the left or to the right of the y-axis?
Off and On / Add Till It’s Plaid: Two lessons that illustrate ax + by = c through possibly unfamiliar activities: what does ax + by add up to for a generic point (x,y) somewhere in the plane? what happens visually when we add or subtract a pair of equations in this form? I used video to present the core of the lessons. I also added an Off and On applet so you and your students can conduct that experiment using an equation of your choice.
Stairs: This is a beginner’s “rise over run” activity which I designed ages ago for TI calculators. Later, I attempted a Desmos version, which (perhaps due to my lack of expertise) had various issues. I replaced it with a GeoGebra applet, something I knew how to make.
Number Pyramids: I added a puzzle-solving and puzzle-creating activity for upper elementary and middle school, mostly based on the addition of whole numbers.
Geometry of the Parabola, 2D: I added a paragraph (by Rachel Chou). Yet another argument to convince the reader that all parabolas have exactly the same shape. They cannot be “pointier” or “wider”.
Talks: I added information on the free professional development session Lessons from Lew, as well as links to an expanded version of the handouts.
Iterating Functions: This page includes interesting materials on this topic, ranging from pre-algebra to precalculus. I added a new lesson by Rachel Chou, about an unexpected application of these ideas to geometry: Triangles and Iterations.
Doctor Dimension: This is a small unit with big ideas mostly about rate of change, including several GeoGebra applets and a selection of worksheets. It can be used in different ways, in grades 8-12. I added a link to another lesson about piecewise functions.
Stairs: This is a Desmos-powered applet that can be used to explore “rise and run”. Unfortunately, it doesn’t work in Chrome on Windows. I added a note to that effect.
Puzzles in Math Curriculum: I combined a couple of blog posts into an article where I break down what makes a good puzzle, and more specifically, what makes a good puzzle in math class.
Letters and Postcards: This is an introduction to linear inequalities and “linear programming.” I added a link to Liz Caffrey’s Desmos Activity Builder version of the lesson.
Stairs: I added a worksheet to support this Desmos-powered applet about slope and linear functions. (Unfortunately, the applet doesn’t seem to work on Chrome on a PC. I’ll try to fix it, but until I do, try a different browser.)
Staircases: I made minor tweaks to this worksheet, which is a great activity about adding up strings of consecutive numbers. It works at all levels from 4th grade, to high school, to math teacher!
Name That Function! This is a popular GeoGebra applet where you’re supposed to guess the function by watching an animated function diagram. I added links to worksheet versions of it, which can be used instead or in addition to the applet.
Summer Workshops: This is the page about my 2019 summer workshop: Visual Algebra (grades 6-9), in two locations: June in Silicon Valley, August near Boston. I added a link to the participants’ website. I also added mentions of continuing education / graduate school units, the 75% scholarship for public school teachers, and the free and discounted manipulatives from Didax and Nasco.
Symmetric Polygons: I corrected a mathematical error and expanded the teachers’ notes in this activity for grades 8-10. Co-authored with Lew Douglas.
Seems Isosceles!: I added some interactive GeoGebra images to this “teachers’ mathematics” exploration.
Geometry Labs: minor tweaks.
For a Tool-Rich Pedagogy: This page consists of an argument for the use of manipulative, technological, and paper-pencil tools in math education, followed by a long (but probably incomplete) list of links to related pages on my site. I added a link to my popular page about pattern block dodecagons.
Pythagorean Theorem home page: I added an image.
Geoboard home page: I added “Connect the Dots” — lattice puzzles and problems for teachers, which can also be used in math clubs and in the classroom. (We worked on those at Math Teachers’ Circles.)
Summer Workshops: I set up that page to announce my 2019 summer workshop: Visual Algebra (grades 6-9), in two locations: June in Silicon Valley, August near Boston.
Soccer Angles: I added interactive GeoGebra applets to this page, which is an extension of the low-tech Lab with the same name in Geometry Labs.
Spirograph Simulation: For some reason, while the online applet worked, the GeoGebra file I included did not open when downloaded. I got some help on Twitter, and posted a corrected version.
Math Ed Consulting: minor tweaks.
Electronic Graphing: minor tweaks.
Pattern Blocks: I added a link to Jen Silverman’s GeoGebra pattern blocks applet.
I created a conic sections home page. (Links to the geometry of the parabola and ellipse, 2D and 3D, and more.)