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2:57 AM | Filling the Ball with Air

A few weeks ago, we watched Nathan Kraft’s Soccer Ball Inflation video on 101 questions. What mathematical question could we explore? how many more pumps did it take to fill the bigger balls 1 how many pumps did it take to inflate the largest soccer ball 1 How many pumps did it take to fill […]

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2:07 AM | What is a “Math Coach”?

From 2008-2011, I served as a “math coach” in Pennsylvania. The position was grant-funded, and there were no guarantees (or expectations, frankly) that the position would last beyond the first year. The timing was perfect – I had been at … Continue reading →

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Hop the Q-TRAIN: that is, the Quantitative Training Program, a postdoctoral research program supervised by Jennifer Hill, Marc Scott, and myself, and funded by the Institute for Education Sciences. As many of you are aware, education research is both important and challenging. And, on the technical level, we’re working on problems in Bayesian inference, multilevel […]
The post Postdoc opportunity here, with us (Jennifer Hill, Marc Scott, and me)! On quantitative education
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1:41 AM | Reading and Writing Numbers to 20

I just finished and uploaded a new product and, like many resources I create, it was born of necessity. I'm working with six little Kinders who still can't recognize numbers to 20. To help with number recognition, I made half-page cards with the number, number name, and a ten-frame representation. The ten-frame representation relates quantity to the number. These cards can serve multiple purposes. Once the kiddos are able to recognize the numbers, we can use the cards to […]

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1:08 AM | What do these share in common: m&ms, limbo stick, ovulation, Dale Carnegie? Sat night potpourri

Here’s the follow-up to my last (reblogged) post. initially here. My take hasn’t changed much from 2013. Should we be labeling some pursuits “for entertainment only”? Why not? ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ I had said I would label as pseudoscience or questionable science any enterprise that regularly permits the kind of ‘verification biases’ in the statistical dirty laundry list. How regularly? (I’ve been asked) […]

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12:57 AM | MATCHUP 2015

The accepted paper list!http://www.optimalmatching.com/MATCHUP2015/accepted-abstracts.html

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Comparto applet interactivo que he realizado con Geogebra para trabajar en clase el estudio del límite de una función. Creo que es bastante intuitivo y fácil de usar. Basta introducir la función y el punto en el que queremos estudiar…Read more →

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12:00 AM | On This Day in Math - January 25

*Wik Only a moment to cut off that head and a hundred years may not give us another like it.~Count Joseph-Louis de Lagrange,a Comment to Delambre on Lavoisier's execution, 8 May 1794.The 25th day of the year; 25 is the smallest square that can be written as a sum of 2 squares. (What's the next?)There are 25 primes less than 100.& \(25 = 5^2\) and \(2.5 = \frac{5}{2} *Math Year-Round @MathYearRound (are there other examples like this?) EVENTS1635 Cardinal Richelieu widens the scope of […]

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canonicalmomentum:
The Peano Axioms uniquely define the natural numbers, i.e. the numbers we use for counting. Here are some little pictures to illustrate them.
The first two say there’s a long line of natural numbers, one after the other.
The third one says the line has a definite starting point, instead of running infinitely far in both directions, or going in a loop.
The fourth one says nothing joins the line partway along, and rules out another kind of loop.
The fifth one says that
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Recently, I found myself needing to find scatterplots that represented very specific values for the correlation coefficient r. This is something that has come up with teaching as well. Showing students scatterplots for many different values of r seems to really help them conceptually, especially with understanding that not every data set with the same value […]

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11:27 PM | Reviews of the Last 3.14 Book I Read

The title is a little misleading as there's no way that I made it anywhere near a seventh of the way through one of the books. However, in keeping up with a goal to read more and to write more, I've uploaded four reviews to my reading blog, which started out as simply someplace for me to keep track of what I've read and of the plots and characters of the more obscure ones. Of the four books, all four were e-books, and only one of them I've ever actually seen in print. Two were fantasy, one
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11:15 PM | would you wear those tee-shirts?!

Here are two examples of animal “face” tee-shirts I saw advertised in The New York Times (of all places!0 and that I would not consider wearing. At any time. Filed under: Kids, pictures Tagged: animals, Asian lady beetle, fashion, tarsier, tee-shirt, The New York Times

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10:53 PM | Venn Diagrams

With Venn Diagrams on the new UK GCSE Mathematics specifications (an excellent addition I believe), and also on other exam specifications, I thought I would update an earlier post on Venn Diagrams and collect resources together. CIMT is one of my Top … Continue reading →

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10:30 PM | A little Zome geometry in our new house

I was playing around in our Zome Geometry book looking for a project today. Stumbled on chapter 12 in the book about Archimedean solids. Unfortunately as we are currently transitioning between houses, I didn’t have any green zome struts. Luckily we found a few shapes that we could make using only blues. The goals for…

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10:19 PM | News

I am happy to say that it is my first time I see a give-away that is maths related. I am so excited that I thought it would be such a good idea to share it with all of you. The give-away is on a Tumblr page: Curiosa Mathematica, and it celebrates its 10,000 followers. […]

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We hear a lot about educational entrepreneurs these days. As a service to these bright young innovators, I have here a proposed product that can revolutionize the teaching of mathematics: the bobblehead instructor. Given a gentle nudge, the instructor will nod reassuringly and repeat one of the following phrases:"Looks good.""And now what do you do?""Let's try that.""Um-hmm."All kidding aside, when I was a high school math teacher, a substantial part of my day was spent doing just that. I […]

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8:27 PM | Rise of Zombies

Rise of Zombies
by Vlad Alexeev
http://im-possible.info/english/art/vlad-alexeev/rise-of-zombies.html

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Another post from Tap Into Teen Minds. Enjoy!
Assessing students based on learning goals is great, but this new gamified approach I stumbled upon has potential to be a game-changer for my students.
The post Standards Based Grading GAMIFIED With Badges appeared first on Tap Into Teen Minds.

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5 Practices for Orchestrating Productive Mathematics Discussions Chapter 2: Setting goals and selecting tasks If I want my seventh graders to have a meaningful mathematical discussion I have to raise the level of thinking in the learning target. But it’s not over yet. I also need to select an appropriate task to support the learning goal. As […]

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newest proof

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7:44 PM | Rectangular Areas in Circle

The areas of two rectangles formed on the legs of right triangle if drawn with vertices on a circle add up to the area of a rectangle on the hypotenuse

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7:28 PM | Calling R from Scala sbt projects

Overview In previous posts I’ve shown how the jvmr CRAN R package can be used to call Scala sbt projects from R and inline Scala Breeze code in R. In this post I will show how to call to R from a Scala sbt project. This requires that R and the jvmr CRAN R package […]

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7:16 PM | Mr. Men #1

I decided for some unknown reason to play around with the idea of making mathematical Mr. Men this week. I got a bit carried away and have decided to (try to) make 3 a week. One will be a simple … Continue reading →

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7:08 PM | Find It! A Subitizing Game

Good morning! In Kindergarten and Grade 1, students need practice subitizing. That is, being able to recognize at a glance and name familiar arrangements of objects without counting. It’s an important precursor to estimation, skip counting and multiplication, and depends on students’ understandings of conservation — that 5 is 5, no matter how it is […]

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things-with-teeth:
exponential63:
castiel-has-been-found:
bonequeer:
angels-are-watching:
Can we please talk about how our history teacher sent a barbie to the smithsonian as proof of the presence of man two million years ago
please, for the love of God read the whole letter, there are tears streaming down my face rn
this is the funniest fuckin thing I have every read. clams don’t have teeth.
‘You may be quite certain that those of us who are familiar with your prior work in the
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The international Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop starts tomorrow. The proceedings are here. The ski report lists Avalanche Level is rated "Considerable Danger" so it might be wise to stay warm and talk real science. Here is the program:Sunday January 25, 201513.00 - 14.30 Aperitif and standing lunch13.30 - 14.00 Lunch14.00 - 15.45 Free time15.45 - 16.00
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6:13 PM | Mistake-making to sense-making

Here are my slides and my notes from my five minute Pecha Kucha-style presentation at Educon. The focus of my presentation was on my journey as someone who started his teaching as viewing students as mistake makers to being a teacher who views students as sense-makers.
I’m going to talk today about my journey from a teacher who tried to correct students’ mistakes to someone who paid attention to student thinking and participated in mathematical reasoning with my
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5:11 PM | Quizzino del sabato sera

Data una scacchiera n×n, siete capaci di colorare, utilizzando solo due colori, le sue caselle in modo tale che tutti i rettangoli di dimensione a×b (con a e b compresi tra 2 e n) che si possono formare al suo interno abbiano le caselle d'angolo colorate con entrambi i colori? Fino a che valore di n riuscite ad arrivare?Per esempio, se la scacchiera è 2×2, queste due colorazioni vanno bene:Questa, invece, va bene per una scacchiera 3×3:Insomma, non devono esistere rettangoli con le caselle […]

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4:24 PM | Higher-Level Math Tasks

A few days ago I started reading Principles to Actions Ensuring Mathematical Success For All as part of a book study. As I was reading in preparation for our first session I came across a few ideas worth highlighting. Pages 18 and 19 discuss the four levels of cognitive demand in math classes. Along with expectations, […]

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Stupiti che 1 non sia primo? Scopriamo insieme perché è "solo" l'unità!Abbiamo già visto come, partendo dai numeri primi, si possa sviluppare un discorso più o meno approfondito sulle fondamenta matematiche. Altrettanto fondamentale, però, si rivela provare a rispondere alla domanda su quale sia il numero primo più piccolo. E', infatti, abbastanza noto come il numero 1 sia stato ora inserito ora escluso dalla lista dei numeri primi, ottenendo in alcuni casi lo status di più piccolo tra […]

Agargun A.G. & Fletcher C.R. (1997). The Fundamental Theorem of Arithmetic Dissected, The Mathematical Gazette, 81 (490) 53-57. DOI: http://dx.doi.org/10.2307/3618768

Crandall R. & Pomerance C.B. (2005). Primes!, Prime Numbers, Prime numbers: a computational perspective 1-82. DOI: http://dx.doi.org/10.1007/0-387-28979-8_1

Caldwell C.K. & Xiong Y. (2012). What is the smallest prime?, Journal of Integer Sequences, 15 arXiv: 1209.2007v2

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Winifred Edgerton Merrill fu la prima americana ad ottenere un dottorato in matematica presso la Columbia University nel 1886. Nella sua tesi sviluppò una rappresentazione geometrica degli infinitesimi in diversi sistemi di coordinate, utilizzando lo jacobiano per per derivare le trasformazioni tra gli integrali nei diversi sistemi.Tra matematica e astronomiaNata a Ripon, nel Wisconsin, il 24 settembre del 1862 da Emmet e Clara Edgerton, si trasferisce con la famiglia a New York intorno al […]

Kelly S.E. & Rozner S.A. (2012). Winifred Edgerton Merrill: "She Opened the Door", Notices of the American Mathematical Society, 59 (04) 504-512. DOI: http://dx.doi.org/10.1090/noti818

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Winifred Edgerton Merrill fu la prima americana ad ottenere un dottorato in matematica presso la Columbia University nel 1886. Nella sua tesi sviluppò una rappresentazione geometrica degli infinitesimi in diversi sistemi di coordinate, utilizzando lo jacobiano per per derivare le trasformazioni tra gli integrali nei diversi sistemi.Tra matematica e astronomiaNata a Ripon, nel Wisconsin, il 24 settembre del 1862 da Emmet e Clara Edgerton, si trasferisce con la famiglia a New York intorno al […]

Kelly S.E. & Rozner S.A. (2012). Winifred Edgerton Merrill: "She Opened the Door", Notices of the American Mathematical Society, 59 (04) 504-512. DOI: http://dx.doi.org/10.1090/noti818

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Direi che oggi pomeriggio è stato un bel respirare, al Palazzo Brera. Cristina Lazzeroni dell'Università di Birmingham è venuta alle 18 (come avevo scritto nel post precedente) per raccontare del bosone di Higgs, del modello standard e di materia e antimateria. E' una sperimentale presso l'esperimento LHCb al CERN, l'esperimento dedicato proprio alla ricerca su uno dei grandi misteri dell'universo: perché in esso c'è un eccesso di materia (e d'altra parte se non fosse così, non ci sarebbe […]

Aaij R., B. Adeva, M. Adinolfi, C. Adrover, A. Affolder, Z. Ajaltouni, J. Albrecht, F. Alessio, M. Alexander & S. Ali & (2013). First Observation of CP Violation in the Decays of B_{s}^{0} Mesons, Physical Review Letters, 110 (22) DOI: http://dx.doi.org/10.1103/physrevlett.110.221601

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Per i I cieli di Brera, il 24 settembre (domani... scusate per il ritardo nell'annuncio...) alle 18 presso la Sala delle Adunanze dell'Istituto Lombardo nel Palazzo Brera sito in via Brera 28 (Milano), si terrà la conferenza La fisica delle particelle e il Large Hadron Collider: recenti sviluppi e questioni aperte: Cristina Lazzeroni ci introdurrà alla fisica delle particelle e agli studi fatti al Large Hadron Collider del Cern di Ginevra mettendo l’accento su recenti sviluppi come la
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Aad G., J. Abdallah, S. Abdel Khalek, O. Abdinov, R. Aben, B. Abi, S. H. Abidi, M. Abolins, O. S. AbouZeid & H. Abramowicz & (2014). Measurement of the Higgs boson mass from the $H\to \gamma \gamma $ and $H\to Z{Z}^{*}\to 4\ell $ channels in $pp$ collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector, Physical Review D, 90 (5) DOI: http://dx.doi.org/10.1103/physrevd.90.052004

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PeterSmith tweeted: @PeterSmith

Beautiful January morning on the river in #Cambridge http://t.co/FFu1DYfOmZ

2015-01-25 11:15:32

rmathematicus tweeted: @rmathematicus

“@ChemistryUpdate: My new favorite experiment: 23 Million Times Slower than Molasses http://t.co/huQ4LITd0u”

2015-01-25 11:08:18

gaussianos tweeted: @gaussianos

Sumatorio de enlaces VIII - #AntologíaGaussiana http://t.co/uO3NzXqnb4

2015-01-25 11:00:09

mluebbecke tweeted: @mluebbecke

@joausdo da bekomm' ich sofort Lust den ganzen Artikel zu lesen @tagesspiegel http://t.co/poUHZghxCL"

2015-01-25 10:58:51

MathsBooks tweeted: @MathsBooks

RT @HurdyGurdyRadio: Irish libarians have seen the impact on the UK with cuts/closures - don't let it happen here - http://t.co/LE2NNuhQ2N …

2015-01-25 10:52:16

MindAfterMath tweeted: @MindAfterMath

Hidden Markov Models: The Forward Algorithm http://t.co/pA3UeRO7vK #compsci #datascience #math #stem #mathchat

2015-01-25 10:43:43

rmathematicus tweeted: @rmathematicus

RT @mathshistory: Joseph-Louis Lagrange (1736-1813) worked in analysis, number theory, analytical & celestial mechanics, born 25 Jan http:/…

2015-01-25 10:39:03

rmathematicus tweeted: @rmathematicus

RT @cathyby: Boyle's part in dropping teleology from study of physical science | @Aeon http://t.co/U37hIdsahV http://t.co/aB8oUENQ39

2015-01-25 10:00:52

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