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12:01 PM | RIPasso di MATEMATICA | Ripmat

Questo sito e’ dedicato a chi ha qualche difficolta’ con la matematica: la matematica non deve complicarci la vita ma aiutarci a viverla meglio. Se hai qualche difficolta’ significa che nella tua carriera scolastica hai recepito qualcosa in modo sbagliato oppure lacunoso; spero che questo sito ti aiuti a capire dove sbagli ed a superare […]

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11:51 AM | Minimal Criminale | Matematica ecc.

Il Teorema dei quattro colori è piuttosto noto: “data una superficie piana suddivisa in regioni connesse, quattro colori sono sufficienti per colorarla in modo tale che regioni adiacenti abbiano colori diversi”. Nel folklore matematico, esso è anche noto come “il primo enunciato dimostrato da un computer”. Ma tale appellativo non rende certo giustizia ad un […]

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11:28 AM | Activity- Airplane in front of the moon

Back in 2011, Nordin Zuber posted this found image on MathsLinks.

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10:00 AM | La matematica contro il jet lag | Galileo

Quante volte ci è capitato di sentirci assonnati, stanchi o confusi una volta giunti a destinazione dopo un lungo viaggio in aereo? E’ il jet lag, chiamato anche discronia circadiana, una condizione clinica che si verifica quando si attraversano diversi fusi orari. Ma, secondo gli scienziati della University o Michigan, c’è un modo per riprendersi […]

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9:30 AM | Statistics: Confidence Interval Projects

This year, I had the privilege to teach a non-AP statistics class for high school juniors and seniors who had finished Algebra 2 and were not enrolled in upper level math courses through our local technology center. As a small high school, our math department offers 10 sections of math: 4 sections of Algebra 1, 3 sections of Geometry, 2 sections of Algebra 2, and 1 section of an advanced math elective. Last year, the elective was College Algebra. This year, it is Statistics. […]

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2:57 AM | Meeting myself at 17

For something I’m writing I looked up a newspaper article I was interviewed in in, from June 7, 1989. Here’s what I had to say: Ellenberg on mathematics: “I always think of it — this is kind of crazy — as a zoo. There are a million different mathematical objects. They are like animals. Some […]

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At Crewton Ramone's House of Math we don't just get multiplication through 9x9 down, we go all the way out to 20X20. Notice I say "get it down" not just memorize. Manipulatives make multiplication easy, so easy, ans so fast that it will look like they have it memorized even if they have to do a little calculation in their heads...with enough practice they will memorize their multiplication facts but instead of it being difficult and hard we make it fun and easy. In this lesson they learn and […]

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11:30 PM | On This Day in Math - April 19

People must understand that science is inherently neither a potential for good nor for evil. It is a potential to be harnessed by man to do his bidding.~Glenn T. SeaborgThe 109th day of the year; 109 is a twin prime with 107. I just found out that the product of twin primes (greater than 5) will have a digit root of 8.. 5 * 7 = 35, 3 + 5 = 811 * 13 = 143, 1 + 4 + 3 = 817 * 19 = 323, 3 + 2 + 3 = 8 Hat tip to Ben Vitale EVENTS 1739 John Winthrop (12 Dec 1714-1779) of […]

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10:39 PM | Get Students to Argue in Math Class

I recently submitted my speaker proposals for both 2014 CMC conferences. One of my proposals is for the following session:Title: "Get Students Arguing in Math Class with Number Sense Activities."Description: Get students to productively argue about math situations. Participate in number sense activities requiring students to construct viable arguments, critique the reasoning of others, and use sense-making. Get ready to throw down. I also had to answer a few questions justifying the […]

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Per “costruire” il proprio nastro di Möbius basta prendere una fettuccia di stoffa e unirne le estremità, stando attenti a far ruotare uno dei due margini di 180° prima di incollarlo all’altro. Se si prova a far scorrere il dito sul nastro ci si accorge che si passa da quello che sembrava l’esterno della fettuccia […]

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8:06 PM | Guilt pangs

Not even going to link to this article but this is so magnificently dumb I had to share it with someone. As everyone knows by now, GM’s entry into the electric car market–the Chevy Volt–costs $41,000 before tax breaks. After the tax breaks, you can happily drive one off the lot for $33,000 … if you […]

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Yesterday, I shared a worksheet I was using in my math course for preservice elementary teachers on Twitter. It got enough of a positive response that I thought I would share it here with a bit more context. Here is the Tweet:Got a boring worksheet? Make it more interesting by adding 2 sentences. #mathchat pic.twitter.com/UebsbuCjJP— David Coffey (@delta_dc) April 17, 2014I made the point that this combined two worksheets. The original worksheet came from fractions4kids.com. This one
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7:00 PM | Explore Volume with Mini Block Cities

It's April. Time for a little "art break" in math class. In this case, I wanted students to apply what they've learned about volume. I pulled out the isometric drawing paper and we got busy, each student designing a "Mini Metropolis."I led them through step-by-step practice sheets to learn how to draw cubes and rectangular prisms. Almost immediately I heard, "...this is cool!" followed by "...this is like ______, the video game that I play!" (Some of them have been drawing ever since we began […]

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Suona l’ora di matematica, si accendono i tablet e si comincia a fare un po’ di geometria dinamica e di algebra interattiva. “Interattiva” e “dinamica” non sono aggettivi usati a caso, come non lo è il verbo “fare”. È proprio intorno a questa parola che gli insegnanti impegnati nel digitale stanno oggi cercando di reimpostare […]

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5:55 PM | Kepler-186F, Identificato Il Primo Pianeta Extrasolare Simile Alla Terra Nella Zona Abitabile

Interpretazione artistica di Kepler-186F e della sua stella. Crediti: NASA Ames / SETI Institute / JPL-CaltechC'è festa alla NASA! Il loro telescopio spaziale Kepler, il "cacciatore di pianeti", ha identificato Kepler-186F, il primo pianeta extrasolare simile alla Terra per grandezza, nella zona abitabile della sua stella Kepler-186.Per coloro che non ne fossero a conoscenza (voi sicuramente, ragazzi di 3B) per zona abitabile, in Astronomia, si intende la regione intorno ad una
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SnowflakesLast week, I finally took down the snowflakes that have been decorating my bulletin board for months. After all, it was post-Spring Break. It was April. Leaving them up would be just asking for it to snow. Apparently, Mother Nature didn't get the memo. I guess she didn't realize that I took down my snowflakes. Last weekend, it was 80 degrees. This Monday, it snowed. And, I'm not just talking a flurry or two. It snowed for two-three solid […]

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Schule im Schaubild. Und erzählt mir nicht, dass war früher anders.

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5:17 PM | Linkfest for Friday, April 18

Jen Orr's first graders tell number stories and make a video of it.David Cox's post, Fostering the Hypothesis Wrecking Mindset, includes a list of a dozen good problems.Dan Finkel has been enjoying how much thinking goes on when people play his Horseshoes game, a variation on a classic number game. (Winner is the one who gets closest to the target number, using 4 given numbers.)Got some interesting data in a pdf file, and want to put it into a spreadsheet? Flowing Data points to a nice program
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4:43 PM | Student Content Creation – Flowboard

This year my math students have been creating and publishing math content. Most of the creation has taken place on iPads through different presentation apps. While finishing up our math comic strips I came across the app Flowboard. At the time of this writing Flowboard is a free presentation app that gives users 200mb of space. My first […]

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4:10 PM | Motion Math: Pizza!

I caught Motion Math's latest game at their booth at NCTM. It's pretty irresistible. Kids are in the pizza business. They get to name their pizzas whatever they want, create them with whatever ingredients they want, and sell them for whatever price they want. Then the game goes all Sim-like on the kid. Customers come […]

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4:04 PM | How to Use Latex on Facebook

To all math teachers, mathematicians, and math enthusiasts who are also Facebook users, it is now possible to use Latex on Facebook. All you have to do is to use Google Chrome as a browser and install the Latex for Facebook Extension. Until Facebook integrates latex into its system, I think this one is very good […]Continue reading...
Mathematics and Multimedia - K-12 mathematics teaching and learning through multimedia.

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3:28 PM | Making a Graph Updated...

A while ago, I used to make graphs for my worksheets in a way that, at the time, seemed reasonable. Hah! and Double Hah! I have seen the light. I don't know where I heard about this technique, but I am using it now, and just today, I enhanced it to be easier for me. Here is a finished graph that took about 4 minutes to make from a blank space:I like this process because I can never seem to find my old "made" graphs, and if I do, they are never the right size.Also, I used to make a similar
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3:04 PM | Starter of the Day

Originally posted on Mathematics - Starters and Plenaries:From Transum Software, the well known Maths Starter of the Day has just that, a starter for every day of the year. What makes the site particularly useful is the index by topic and note the link…

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2:27 PM | Hyper-acceleration

In some schools and communities teachers face a tremendous push for hyper-acceleration of certain students. As I mentioned in my previous post the pressure comes largely from parents, but they are often supported by students and administrators. Many parents believe that hyper-acceleration will help their child's college applications. Many students' self-image is intimately related to being "ahead" in math, as they have received so much praise for this in the past. Many administrators encourage […]

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Subscribe to Moebius Noodles newsletters Pinterest | Twitter | Facebook | Google+ I am Moby Snoodles, and this is my newsletter. Send me your questions, comments, and stories of math adventures at moby@moebiusnoodles.com Seeking all video makers! We are starting to build Mathematician badge for the wonderful…Read more ›

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My complete interview with Steven Strogatz in the February 2014 issue of Math Horizons is now freely available. Math Horizons makes one article from each issue freely available online, and I’m thrilled that for the February 2014 issue they chose my piece. Professor Strogatz is an acclaimed mathematician, writer, and teacher, and I think this interview captures a small […]

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An Axiom to Grind: Berkeley Prof's Formula for Fame is Making Math His (Steamy) Passion: Glen Martin:
Then there’s his 2010 movie, Rites of Love and Math. Written and directed by Frenkel, the short film is an homage to the Mishima film, Yukoku, or the Rite of Love and Death. In the reprise, a mathematician played by Frenkel discovers the “mathematical formula” of love, but realizes it’s so powerful it could be used for immeasurable evil. He decides he must die to keep it from falling
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Sharing a Framework for Aboriginal Mathematics Education and What it Means for Teaching

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Non voglio fare concorrenza alla splendida spiegazione di Amedeo o a quella tecnica di Corrado, ma mia sorella, leggendo il post di pancia scritto nella sera dell'annuncio di BICEP2, ha candidamente confessato di non aver capito cosa era accaduto quel giorno. E allora proviamoci, a raccontarlo. (da The Cartoon History of the Universe #1 di Larry Gonick)C'era una volta un'idea di universo, che era la Terra al centro, quindi il Sole, la Luna e gli altri pianeti e sullo sfondo le stelle fisse,
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Hubble E. (1929). A relation between distance and radial velocity among extra-galactic nebulae, Proceedings of the National Academy of Sciences, 15 (3) 168-173. DOI: 10.1073/pnas.15.3.168

Gamow G. (1948). The Evolution of the Universe, Nature, 162 (4122) 680-682. DOI: 10.1038/162680a0

Alpher R.A. & Herman R. (1948). Evolution of the Universe, Nature, 162 (4124) 774-775. DOI: 10.1038/162774b0

Alpher R., Bethe H. & Gamow G. (1948). The Origin of Chemical Elements, Physical Review, 73 (7) 803-804. DOI: 10.1103/PhysRev.73.803

Peebles P.J.E., Schramm D.N., Turner E.L. & Kron R.G. (1994). The Evolution of the Universe, Scientific American, 271 (4) 52-57. DOI: 10.1038/scientificamerican1094-52

McLeish T.C.B., Bower R.G., Tanner B.K., Smithson H.E., Panti C., Lewis N. & Gasper G.E.M. (2014). History: A medieval multiverse, Nature, 507 (7491) 161-163. DOI: 10.1038/507161a

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Much of my undergrad was spent studying physics, and although I still think that a physics background is great for a theorists in any field, there are some downsides. For example, I used to make jokes like: “soft isn’t the opposite of hard sciences, easy is.” Thankfully, over the years I have started to slowly […]

Lazer, D., Kennedy, R., King, G. & Vespignani, A. (2014). Big data. The parable of Google Flu: traps in big data analysis., Science, 343 (6176) 1203-1205. PMID: 24626916

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Un triangolo aureo è un triangolo isoscele in cui il rapporto tra uno dei lati uguali con la base è pari alla sezione aurea $\varphi$. Utilizzando un triangolo aureo di lato 1, è possibile dimostrare che \[1 + \frac{1}{\varphi^2} + \frac{1}{\varphi^4} + \cdots = \varphi\] \[\frac{1}{\varphi} + \frac{1}{\varphi^3} + \cdots = 1\] \[\frac{1}{\varphi} + \frac{1}{\varphi^2} + \frac{1}{\varphi^3} + \cdots = \varphi\] Il triangolo aureo qui sopra è lo screenshot della applet realizzata da Irina
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Edwards S. (2014). Proof Without Words: An Infinite Series Using Golden Triangles, The College Mathematics Journal, 45 (2) 120-120. DOI: 10.4169/college.math.j.45.2.120

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Un triangolo aureo è un triangolo isoscele in cui il rapporto tra uno dei lati uguali con la base è pari alla sezione aurea $\varphi$. Utilizzando un triangolo aureo di lato 1, è possibile dimostrare che \[1 + \frac{1}{\varphi^2} + \frac{1}{\varphi^4} + \cdots = \varphi\] \[\frac{1}{\varphi} + \frac{1}{\varphi^3} + \cdots = \1] \[\frac{1}{\varphi} + \frac{1}{\varphi^2} + \frac{1}{\varphi^3} + \cdots = \varphi\] Il triangolo aureo qui sopra è lo screenshot della applet realizzata da Irina […]

Edwards S. (2014). Proof Without Words: An Infinite Series Using Golden Triangles, The College Mathematics Journal, 45 (2) 120-120. DOI: 10.4169/college.math.j.45.2.120

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In 1936, Alonzo Church, Alan Turing, and Emil Post each published independent papers on the Entscheidungsproblem and introducing the lambda calculus, Turing machines, and Post-Turing machines as mathematical models of computation. A myriad of other models followed, many of them taking seemingly unrelated approaches to the computable: algebraic, combinatorial, linguistic, logical, mechanistic, etc. Of course, […]

Dershowitz, N. & Gurevich, Y. (2008). A natural axiomatization of computability and proof of Church's Thesis, Bulletin of Symbolic Logic, 14 (3) 299-350. DOI: 10.2178/bsl/1231081370

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Here is what I get when I analyze Peirce’s “giver of a horse to a lover of a woman” example along the same lines as the dyadic compositions. We may begin with the mark-up shown in Figure 19. (19) If we … Continue reading →

2014-04-18 22:00:35

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2014-04-18 20:01:53

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2014-04-18 14:13:52

BIRTHDAY CHALLENGE: Pick a line drawing of the Map of Nigeria (like the one below) with the borders of its states included and try to color each state with one […]

2014-04-18 13:25:43

My complete interview with Steven Strogatz in the February 2014 issue of Math Horizons is now freely available. Math Horizons makes one article from each issue freely available online, and I’m thrilled that for the February 2014 issue they chose my piece. Professor Strogatz is an acclaimed mathematician, writer, and teacher, and I think this interview captures a small […]

2014-04-18 13:00:34

gaussianos tweeted: @gaussianos

IMO 2013 en Santa Marta (Colombia) - Problema nº 4 - #AntologíaGaussiana http://t.co/6CStUANIVR

2014-04-18 12:02:03

profkeithdevlin tweeted: @profkeithdevlin

Snowden Calls BS On Putin's Answer: Says He Was Playing The Role Of Ron Wyden http://t.co/fglozmOaFn

2014-04-18 11:55:34

profkeithdevlin tweeted: @profkeithdevlin

Wuzzit Trouble was named the most important educational game of 2013 by Develop-Online. http://t.co/9elMJzc5sp

2014-04-18 11:51:55

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