# Posts

### August 29, 2015

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3:40 PM | Focus is Key

I have resolved to work on blogging once a week, because I need it, and hopefully it will help me to re-prioritize in a meaningful way. If it helps someone else, all the better. This week felt very chaotic. I’m finding that having Mondays as our meeting days can make a week feel that way, […]

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3:24 PM | The coin game

Here is a puzzling example due to Roger White. There are two coins. Coin 1 you know is fair. Coin 2 you know nothing about; it falls heads with some probability p, but you have no information about what p is. Both coins are flipped by an experimenter in another room, who tells you that […]

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3:12 PM | New Geometry Unit 0 — Intro to Logic

Since, as @samjshah reminds me, we blog partly as an reflective archive for ourselves, I wanted to capture some of what I did in the new introductory logic unit I created for Geometry this year. I also wanted to capture some of who and what inspired me to do the things that worked out best!I had no idea how prescient it would be to have an introductory unit that both adds tremendous rigor and depth while simultaneously being somewhat optional. These first two weeks of school have been somewhat […]

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3:09 PM | Triking on Square Wheels

A tricycle with square wheels on a circular track at the National Museum of Mathematics in New York City.
Note the Fibonacci spiral pattern at the track's center.
For more on square wheels, see "Riding on Square Wheels."
Photos by I. Peterson

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For reasons that are somewhat mysterious to me, I’ve seen a bunch of media coverage about John Conway in the last couple of months. Of course, there’s Siobhan Roberts’s awesome biography: Which Jordan Ellenberg reviews in the Wall Street Journal here: Jordan Ellenberg’s review of Genius at Play Roberts also has a great Quanta Magazine…

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3:00 PM | Opening Day

That time of year. Everyone on your timeline slowly trickled their way back to work. I just wrapped week one. I'd say it's unique among all my week ones thus far.PregameI did a few local PD sessions on notebooks and SBG like I do. Last year I helped a local middle school adopt some of these things unilaterally. Their experiment is helping convince other middle schools in our district to start experimenting with their practices. Insane progress.I don't talk much about my online teaching exploits
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2:49 PM | Meeting new people at ICFP

This afternoon I’ll be getting on a plane to Vancouver for ICFP. I’m looking forward to seeing many friends, of course, but I also enjoy meeting new people—whether or not they are “famous”, whether or not I think they can … Continue reading →

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Somebody writes writes: I am conducting a survival analysis (median follow up ~10 years) of subjects who enrolled on a prospective, non-randomized clinical trial for newly diagnosed multiple myeloma. The data were originally collected for research purposes and specifically to determine PFS and OS of the investigational regimen versus historic controls. The trial has been […]
The post Performing design calculations (type M and type S errors) on a routine basis? appeared first on
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1:34 PM | Aunt Pythia’s advice

Readers, did you know Aunt Pythia is a rabid biker? And did you know that the High Bridge just opened for the first time in 40 years? Aunt Pythia is itching to bike all over it as soon as she’s shot this Saturday’s wisdom wad all over your browser. Fun facts about the High Bridge: It’s […]

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The week at Retraction Watch featured the results of a massive replication study, yet another retraction for Diederik Stapel, and a messy situation at PLOS. Here’s what was happening elsewhere: Who ya gonna cite, to paraphrase Ray Parker, Jr.? A survey found that a third of papers in biology, physics, and the social sciences had […]
The post Weekend reads: Ghost authors proliferate; science goes to the movies; pricey grant fraud appeared first on Retraction Watch.

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1:16 PM | Audio Time Machine

Obviously the most famous theory of physics of all time is the ‘Theory of relativity’ given by Einstein. It’s a kind of theory which has changed almost the whole picture of physics. One of the main postulates of this theory was that nothing can move faster than light, which means that light has the ultimate

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1:08 PM | Beginning the Year with Math Journals

Last Monday marked the first day of my 2015-16 school year. It’s been an amazing week but I’m glad the weekend is here. Yesterday my school had its annual PTO picnic and I now have some time to write. I feel like I need time to process and reflect on the whirlwind of events that’ve […]

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11:22 AM | Maths Mr. Men Sticker Template

With many thanks to @luby_lou99 who made these entirely independently. They’re very cool, and more cost efficient than the ones I made for my classes! Maths Mr Men Sticker Template Just use the template and get some stickers like these (or on ebay here) :D

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10:52 AM | Resolutions for (Mathematics) Teachers

It’s that time of year again – back to school we go. Time for a revisit and update of “Resolutions for Maths Teachers”. There are several new slides here for those familiar with the previous edition. I am happy to … Continue reading →

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10:31 AM | Scienza in Pillole: la Teoria delle Stringhe

Fonte dell'immaginePrende il via, con la seguente pillola scientifica, la rubrica Scienza in pillole, pensata per offrire ai lettori degli input veloci e corretti, pescando nel mare magnum della conoscenza scientifica. La Teoria delle StringheLa teoria delle stringhe propone che i costituenti fondamentali dell'universo siano "stringhe" unidimensionali, piuttosto che particelle puntiformi. Le stringhe hanno quindi un'estensione, in altre parole hanno una lunghezza (1). E
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10:24 AM | Complete the Rules

I said I wouldn't write any more posts this summer, but this is just a quick one to share something I've just made.
You may have already seen the expectations videos I made for Year 10 and Year 11. I was considering making these for Year 12 and 13 too but wasn't sure it would work well with these groups. Then I stumbled across this infographic that I made last year and never had the chance to

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10:19 AM | ¡Hola mundo!

Bienvenido a WordPress. Esta es tu primera entrada. Edítala o bórrala, ¡y comienza a escribir!

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9:27 AM | Salaries in Real-Time

Find out how many hours of work it takes to buy a burger, top performance running shoes, a flat screen television, a new car, and even a home. (US Values)
An engaging visualisation that might help students gain perspective on their own job and spending.

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Attention Conservation Notice: Long. Really long. No, longer than that. Here: read the original instead.The Net Reclassification Index (NRI) is a summary of improvement in prediction when new information is added, and an intuitively plausible one. Suppose that we’re trying to predict $Y=1$ vs $Y=0$, and that for person $i$ we have an old predicted probability $\hat p_{\textrm{old}}(i)$ and a new predicted probability $\hat p_{\textrm{new}}(i)$. We’d hope that the probabilities for cases
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7:30 AM | The Monk and the Bridges Problem

8/29/20158,292,015 is a composite, deficient, odd, odious and wasteful number. When written in base 36 it is 4XQ5R. And, it can be expressed as the sum of all of the integers from 3741 to 5529.

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7:22 AM | Schülerarbeit: Ein Dialog.

Hr. Klinge: “Hallo Ramona.” Fr. Stock: “Hallo Jan-Martin. Hast du schon von Emil und Laurin gehört? Hr. Klinge: “Das die zwei wieder im B-Trakt waren? Ja, das habe ich. Herr Müller war ziemlich wütend darüber.” Fr. Stock: “Kann ich verstehen. Ich weiß auch nicht, wie wir sie daran hindern können.” Hr. Klinge: “Ja, das Abschreiben lassen bringt wohl nicht viel!” Fr. Stock: “Vielleicht sollten wir sie mal einen Dialog darüber schreiben lassen, was wir über das Thema […]

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I met up with some mathematician friends in Toronto yesterday, who were interested in how one goes about getting started on machine learning and data science and such. There’s piles of great resources out there, of course, but it’s probably worthwhile to write a bit about how I got started, and place some resources that […]

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2:28 AM | Zahlen an der Börse

xkcd präsentiert in seiner neuen Zeichnung den Engineer-Syllogism, der nun ja ein wenig an den bekannten Deppen-Syllogismus erinnert (“ich verstehe nichts von Quantenmechanik, ich verstehe nichts vom Plazeboeffekt, also hat der Plazeboeffekt mit Quantenmechanik zu tun”) Es gibt übrigens eine von einem Mathematiker (Vladimir Lefebvre) entwickelte Theorie, derzufolge die Entwicklung des Börsenmarktes ausschließlich von der…

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1:54 AM | Embracing Her Rules

I want to preface this post with a declaration: My daughter Maria is the love of my life and being her mother is my greatest blessing. That being said, to describe her as a “free-thinker” would be a sugar-coated understatement of my little non-conformist. (I mean would it kill her to play one game of […]

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John Urschel, now fully healthy, opens up about post-concussion math: Jon Meoli:Ravens offensive lineman John Urschel sheepishly admitted Thursday that his Twitter justification for doing difficult math problems two days after suffering a concussion isn’t as easily provable as the mathematic proofs he was working on at the time.

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12:25 AM | Oldest Inscription of 'Zero' at Gwalior Fort

The Gwalior FortI must confess to my dear readers that one of the advantages of traveling extensively is to be able to see the beauty of our country's ancient heritage. Take for example the 8th-century Gwalior Fort located in the heart of the Indian town of Gwalior. The fort consists of a defensive structure and two main palaces, Gurjari Mahal and Man Mandir, built by Man Singh Tomar. What it also consists is the oldest inscription of the 'Zero' - One of India's greatest contribution in
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