Author Archives
In 2018 I semi-retired by retiring from Weston High School after my 21st year teaching mathematics there. This was also my 44th year as a teacher altogether. In 2023 I retired fully, adding in my 18 years at Harvard’s Crimson Summer Academy each summer. For 21 years I had taught at the Saturday Course in Milton, MA, and I used to serve on the board of the Dorchester Historical Society.
I read, cook, and spend a lot of time building my model railroad. For some reason I’m left with less free time than would be ideal, considering that I’m supposed to be retired, but somehow I also manage to devote time to my wife, Barbara, and to our varying number of cats (once up to six, but now sadly down to one).
Larry Davidson
ljd@larrydavidson.com
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Life after exams
It’s tough to keep kids focused and engaged after they’ve finished their final exams. As I blogged earlier, our math exams were on the 14th… but school continues until the 23rd! Everyone knows that tests and grades are all that… Read More ›
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Fermat's Last Theorem limericks
Weston High School held a math haiku contest, but maybe we should have had a math limerick contest instead. Here are some math limericks about the proof of Fermat’s last theorem (from a contest held at the University of Illinois… Read More ›
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Cantor's proofs
A lot of my precalculus students today didn’t like and/or didn’t believe Cantor’s proofs of the denumerability of the rationals and the non-denumerability of the reals. A few articulated their disbelief; most were quiet and attentive, but how many of… Read More ›
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Stunning graphs of equations
You have got to go look at the Visual Dictionary of Famous Plane Curves and study some of the stunning images that Xah Lee has collected. I particularly recommend his collection of sinusoids and his gallery of graphics based on… Read More ›
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Beware the Algebrator
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Too hot to think
It wasn’t a great day for taking math exams. I opened up the windows and doors in my classroom at 7 AM to get some cross-ventilation, but when the exam started at 7:35 it was already 83 degrees in my… Read More ›
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Amusing calculus book?
The pseudonymous Rudbeckia Hirta writes about “the most amusing book ever written about calculus”: The Historical Development of the Calculus, by C.H. Edwards. I know, you don’t think the competition for most amusing calculus book is very stiff, but I’m… Read More ›
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The TeachScheme conference
The TeachScheme conference (see my post of 5/22) went very well. Because of some changes in the program, we actually were granted 15 minutes for our talk! I came away with quite a number of interesting ideas, both for the… Read More ›
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Representations
Dennis and I were talking about multiple representations. Multiple representations are one of the Big Ideas that wend their way through all our math courses. A table and a graph and a function machine and a mapping diagram are all… Read More ›
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Awards
Is Weston High School the only school that gives out too many awards? Probably not. I counted 14 awards for one of our seniors, and 14 for another as well! And, of course, there were hundreds of others for seniors…. Read More ›
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Numb3rs
Please read Graham Cormode’s review of the TV show, “Numb3rs” (which he claims is pronounced “Numbthreers” rather than “Numbers”). Brief excerpt: Given low initial expectations, it was probably one of the better attempts to show mathematical topics within the context… Read More ›
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Literature & math: imaginary gardens with real toads
This week’s New York Times Book Review contains a fascinating Literary Map of Manhattan, preceded by an explanatory article written by Ethicist Randy Cohen. Quoting Meg Wolitzer, Cohen defines his (their?) “cartographic motto”: a strong sense of specificity, even though… Read More ›
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What math has taught him
Sam Hughes is the author of the Venn Diagram cited in my previous post. I also recommend his list of “Things mathematics has taught me”: That there are such things as unanswerable questions — indeed, provably unanswerable questions That Occam’s… Read More ›
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Don’t confuse England with Britain
Perhaps a Venn Diagram would help.
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Statistics for kids
Do check out the NCES Students’ Classroom site. Good stuff — even though a lot of it is in Comic Sans (see yesterday’s post).
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Ban Comic Sans!
In a column in this week’s Boston Phoenix, Mike Miliard reports on the worldwide campaign by Dave and Holly Combs to ban the Comic Sans font: …It’s Comic Sans, the goofy, ungainly typeface, meant to mimic handwriting that’s somehow proliferated… Read More ›
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Another gender difference?
My impression is that there are significantly more female teen bloggers than male ones, but maybe I’m wrong. A fascinating study by David Huffaker says that “BlogCensus randomly sampled 490,000 blogs to find 40% male and 36% female, with the… Read More ›
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Homework considered harmful
Homework can be counterproductive, according to an article on the physorg.com website. Here are a few excerpts: Instead of improving educational achievement in countries around the world, increases in homework may actually undercut teaching effectiveness and worsen disparities in student… Read More ›
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Building learning communities
A conference on Building Learning Communities — right here in Weston! I don’t know much about it, but it’s led by Wellesley’s distinguished former tech coordinator, Alan November, and the blurb looks interesting. Stay tuned for more info…
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Chris Lydon redux
Yesterday Christopher Lydon returned to NPR with his new show/blog called Open Source. Day #2 concluded a few minutes ago. Actually, of course, it was only the broadcast portion that concluded a few minutes ago. The Internet portion — the… Read More ›
