Happy Tau Day! Argh, I was supposed to post this yesterday, of course. If you don’t know what tau (τ) is, I could just tell you that it’s C/r, which is approximately 6.28, hence 6/28 is Tau Day. But that… Read More ›
Math
We have a winner!
Congratulations to Weston sophomore Andrew Yao! Andrew has achieved the rare distinction of being a winner of the American Math Competition — one of only two underclassmen nationwide to reach this exalted rank (and one of only 12 students altogether,… Read More ›
New England Math Championships
Please congratulate the Weston High School Math Team for their outstanding performance at yesterday’s playoffs for the New England Medium-Size Schools Championship: After a close-fought contest, Weston is now #1 in all of New England! It was all very much… Read More ›
Cats and geometry
Three of the cats, doing their best to sit at the vertices of an equilateral triangle (even though William isn’t paying attention and Vincent is messing up the covers):
State Math Champions!
Congratulations to the Weston High School Math Team for their extraordinary performance yesterday in the medium-sized high schools’ playoffs for the Massachusetts state math championship! Weston finished #1 among all the medium-sized schools in all the state math leagues, and far… Read More ›
Finally… the 16th Annual Fractal Fair
Our plans for the 16th annual Fractal Fair at Weston High School looked good. All was supposed to go smoothly, just as the previous 15 fairs had. Why not, after all? But the weather did… Read More ›
Spirals & fractals at the MoS
Another museum visit on my staycation was to the Museum of Science: the special exhibit Numbers in Nature, continuing through April 25. My capsule summary is that it is generally high in quality but low in quantity. Yes, I agree that… Read More ›
Should you take the math course you want to take?
A brief anecdote posted by The Math Curmudgeon and a comment from a reader a couple of days ago raise two different but interlocking issues: how do you take school administrators seriously when they directly contradict themselves, and should students… Read More ›
Homework and Causation
As this academic year ramps up, it’s worth recalling a conversation overheard by a colleague a couple of years ago: At the beginning of the third quarter, two sophomores were talking about their second-quarter report cards. “I got a C… Read More ›
Why “Names of polygons”?
Whenever I go to the WordPress Stats page for this blog, I see that my most popular post (most popular by far) is “Names of Polygons,” which I posted on December 10, 2010! It had 361 views last month, nearly… Read More ›
Ancient Babylonian trigonometry? Really? Really???
It’s pretty clear what this clay tablet says, right? Obviously it’s written in… Oh, wait, maybe it isn’t so obvious. You probably don’t read Babylonian, or Akkadian, or Sumerian, or whatever language these cuneiform carvings represent. But this tablet has… Read More ›
Do negative numbers exist? And why do two negatives make a positive?
A brief interchange on Facebook yesterday and today with three of my former students prompted this discussion of the two questions stated in the title of this post. It all started with this implausible claim from a reliable math website:… Read More ›
“If it ain’t broke, don’t fix it?” (Rethinking quadrilaterals)
Why on earth would we spend two whole days rewriting our Honors Geometry quadrilaterals unit? Our textbook, after all, contains a perfectly serviceable sequence of four lessons on this topic: These lessons are adequate. In the words of the standard… Read More ›
Coding in middle school math
Google Blockly? What’s that? And should we say coding or computer programming? We’ll deal with that terminological question in the last paragraph, but let me first tell you about Blockly and about the workshop we had yesterday. A group of… Read More ›
Yes, the Mission Hill presentation was successful.
Yes, the Mission Hill trip was successful. Two weeks ago, I promised to tell you the results of our decision to replace Chinatown with Mission Hill as one of the eight Boston neighborhoods we visit each summer as part of… Read More ›
Whence significant figures?
Significant digits can arise out of less significant data, right? For instance, you probably learned in ninth-grade science that a number rounded to one significant figure can be magically turned into one with three significant figures simply by changing measurement… Read More ›
For the win!
What a great start for the Weston High School Math Team! In our first Massachusetts Math League meet of the year, our goal was a simple one: to beat Canton. Simple, but definitely not easy, as it almost never happens. And beat Canton… Read More ›
Desmos Redux
We had a productive workshop today, identifying and developing materials for using Desmos — primarily, but not exclusively, in Algebra 2 and Precalc 2. There are at least two different ways to use Desmos: as a graphing calculator that’s much better than… Read More ›
15th Century crypto
If you’re sufficiently geeky, you will surely want to know something unexpected about the mathematics of functions and their inverses: cryptography in the 15th Century. Why? Because then we’re focusing on the transition from the monoalphabetic ciphers (such as Caesar,… Read More ›
A multi-calendar from a century ago
Wow! Look closely at this amazing image. What is it? Clearly [???] it’s an Ottoman calendar from a century ago. Fortunately, it has been annotated for our viewing pleasure. It shows the then current date — apparently April 20, 1911 —… Read More ›
Learning Strategies 