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9:08 AM | Steepness and Fall hiking

Mt. Washington, NH Fall is a beautiful time of year for hiking. Many students will be walking in the woods and mountains to enjoy the colorful leaves and the cool weather outside. Let them combine what they are doing with…Read more →

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9:00 AM | On Comparing Decimals Like 0.999...

Today in my college algebra class will be the first time that I've provided space to actually discuss the 1 = 0.999... issue. Previously I mentioned this here on the blog. This become so contentious that it's actually the only post on which I've ever been forced to shut off comments. (Actually it attracted a stalker who'd post some aggressive nonsense every few days.) Anyway, brushing up on some points for later today let me see a very obvious fact that I'd overlooked before and that is: […]

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“We do these things… not because they are easy, but because they are hard.” – John F. Kennedy I love a challenge. I go out of my way to do Hard Sums in my head, in the hope of one day matching the Mathematical Ninja’s prowess. I run long distances. I juggle childcare with a tutoring business. I work with children, as a choice. Difficult things? I love them. But they’re no way to run an education system. I genuinely can’t believe I have to write a blog post explaining to the
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I just compiled a list of a few preprints and papers that recently came out in support of hyperspectral work and its relation to either compressive sensing or advanced matrix factorization. Without further ado:Self-Dictionary Sparse Regression for Hyperspectral Unmixing: Greedy Pursuit and Pure Pixel Search are Related by Xiao Fu, Wing-Kin Ma, Tsung-Han Chan, José M. Bioucas-DiasThis paper considers a recently emerged hyperspectral unmixing formulation based on sparse regression of a
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I had a busy summer. In August my family and I moved from Lehavim to Rosh Pina. In September my family grew: my daughter Sarah was born two days before the (Hebrew) new year. There is a lot of excitement and happiness around this, but this blog is not the place to expand. What I […]

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In a nutshell, the traveling salesman problem is as follows: "Given a list of cities and the distances between each …Tags: simulation, traveling salesman

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7:00 AM | 8775

8775 = 3 x 3 x 3 x 5 x 5 x 13.8775 = (25 x 26 x 27)/2 (A027480).8775 divides 8212 - 1.8775 is a number that cannot be written as a sum of three squares.Source: OEIS

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6:28 AM | Reflections on Teaching

I was recently asked to be part of an advice panel for newly minted teaching assistants. Oh, how time flies! After assisting with numerous classes and teaching vector calculus twice, I’d like to think I have some advice to offer. … Continue reading →

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5:55 AM | Complex Domain Coloring

Why don’t you stop doodling and start writing serious posts in your blog? (Cecilia, my beautiful wife) Choose a function, apply it to a set of complex numbers, paint the result using the HSV technique and be ready to be impressed because images can be absolutely amazing. You only need ggplot2 package and your imagination. This is what happens […]

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5:27 AM | Lucas Numbers

Check out this video on Lucas Numbers: Lucas Numbers are an interesting generalization of the famous Fibonacci Numbers! Featured book: Blockhead: The Life of Fibonacci Also, check out this book by Matt Parker, i.e. the guy in the video above! … Continue reading →

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5:07 AM | Equations of Picachu

With the new era of technology, Mathematics has become a great tool for arts and entertainment. With the use mathematical algorithm of wolfram alpha, they were able to arrive with an equation for the images of...
The post Equations of Picachu appeared first on Techie Math Teacher.

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5:00 AM | Revue de presse octobre 2014

Ce mois-ci, les médailles Fields font reparler d'elles de Paris à Rio. Les actions grand public se multiplient de la maison Fermat au château de Guédelon. Les expérimentations pédagogiques s'appuient sur les plateformes en ligne ou la pédagogie inversée. Le cinéma célèbre Alan Turing, la recherche s'applique aux chiens de berger, aux empilements d'oranges, à la dynamique des populations. Et la rentrée littéraire nous offre une foison de lectures autour des mathématiques. On vous
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5:00 AM | Hooked on a Flowchart

(Click on the comic if you can't see the full image.) (C)Copyright 2014, C. Burke.Have you ever known anyone who just does the chant waiting for someone to jump in with the words. Have you ever been that person? Flowcharting: a lost art. It doesn't have to be complicated, but ti shouldn't be too "clever", either. Mostly, it should be readable so people in your audience can understand it (not everyone involved in a project is an expert coder). Readability, and easy understanding, are why I
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The (presumably) final article arising from the Polymath8 project has now been uploaded to the arXiv as “The “bounded gaps between primes” Polymath project – a retrospective“. This article, submitted to the Newsletter of the European Mathematical Society, consists of personal contributions from ten different participants (at varying levels of stage of career, and intensity […]

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4:30 AM | The Thirty Million Words Initiative

This is interesting [if you get a chance, listen to the audio at the link]“By the end of the age of three, children who are born into poverty will have heard 30 million fewer words than their more affluent peers,” says Dr. Dana Suskind [A pediatric otolaryngologist at University of Chicago -- MP].Dr. Dana Suskind is the director of the Thirty Million Words initiative – an education and research program out of Chicago....The moment a baby is born their brain is already beginning to
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For every action, there shall be a vicious and disproportionate reaction. Continue reading →

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3:36 AM | Elimination and Solving Equations

I bet you have all seen the following mistake: There’s a problem here, but it’s certainly an understandable problem. It comes from, dare I say, a trick that we all teach. And it’s a trick we all think isn’t one – adding the same thing on both sides of the equation. When I did my […]

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3:09 AM | Linkage for the end of September

Algomation animated algorithms (G+)Rush hour video, or, what our robot-driven future will be like (G+)The Washington Post rants about those evil student pirates, but neglects to mention the free alternatives (G+)A song video about knots, from the low-dimensional topology blog (G+)Fun hex grid facts, via MF (G+)SODA 2015 accepted papers (G+)KaTeX, a lobotomized but fast web math renderer (G+)Against laptops in lectures, via MF (G+)David Wade’s ‘Fantastic Geometry’ – The Works of Wenzel
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3:09 AM | Frustration over Retention

Warning – venting ahead… My Algebra 1 students today had a class-wide reassessment over three learning targets: solving linear equations, solving linear inequalities, and solving formulas for a specified variable. I had rearranged my units this year so that the unit with solving equations and inequalities was first since on the initial benchmark I gave, …Continue reading

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3:00 AM | Game Theory In The News (Sept 2014)

This is the current installment of the monthly series “Game Theory in the News” and it will cover stories from the last month of September. My hope is to highlight stories that can be used as case studies in the classroom, both so students can see how to apply game theory and so teachers can […]

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2:05 AM | Base Ten Blocks and Math Anxiety.

I have seen students whose confidence is so shaken by calculus or algebra that adding small numbers is no longer certain....the reptilian brain kicks in even basic operations become difficult...too much stress or anxiety and you can literally do about two things: fight or flee. This is why in martial arts you fight calmly and better yet with no conscious mind....otherwise the reptile kicks in and you can't remember what to do even if you have practiced for certain situations 1000 times. I […]

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1:00 AM | 2-adic Integers

This image created by Christopher Culter shows the compact abelian group of 2-adic integers (black points), with selected elements labeled by the corresponding character on the Pontryagin dual group (colored discs).

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I saw this neat interview with Terry Tao yesterday: In the first paragraph he mentions that he thinks that number theory isn’t likely to become an important subject in school math because it doesn’t have lots of applications. I’m sure … Continue reading →

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12:30 AM | True Grit

Another TEDTalk today. This is actually from 2013, but I just saw it getting passed along #MathChat/#EdChat circles today. It's about success in math and beyond. If you missed it, set aside 6 mins. for it:

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The Major League Baseball postseason is starting just as I write this. From the National League, we have Washington, St. Louis, Pittsburgh, Los Angeles, and San Francisco. From the American League, we have Baltimore, Kansas City, Detroit, Los Angeles (Anaheim), and Oakland. These match up pretty well geographically, and this hasn’t gone unnoticed: see for […]

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12:09 AM | Tired – So tired

Today wiped me out. I had all 3 sections of AP Stats today, and I heard the same comment from all 3 classes. It went something like this, “I never understood the z score when we did it in Alg 2. My teacher just said, memorize the formula and get find the number.” Sigh. That […]

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Some of my favorite conversations are about prediction and its limits. For some, this is purely a practical topic, but for me it is a deeply philosophical discussion. Understanding the limits of prediction can inform philosophy of science, mind, and even questions of free-will. As such, I wanted to share with you a World Science […]

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Mathematics and Computers in Simulation, Volume 104, pages 1-104 (Oct-14)

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12:00 AM | Graph Spectra in Computer Science

Discrete Applied Mathematics, Volume 176, pages 1-134 (Oct-14) Edited by Francesc Comellas, Robert Elsasser, Dragan Stevanovic

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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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One of the exciting things about mathematical oncology is that thinking about cancer often forces me to leave my comfortable arm-chair and look at some actually data. No matter how much I advocate for the merits of heuristic modeling, when it comes to cancer, data-agnostic models take second stage to data-rich modeling. This close relationship […]

Gallaher, J. & Anderson, A.R. (2013). Evolution of intratumoral phenotypic heterogeneity: the role of trait inheritance., Interface Focus, 3 (4) 20130016. arXiv: 1305.0524v1

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mathhombre tweeted: @mathhombre

RT @a_mcsquared: @mathhombre I predict one million. Because one million would be cool.

2014-10-01 15:34:49

mathhombre tweeted: @mathhombre

2014-10-01 15:34:45

fortnow tweeted: @fortnow

RT @georgiatech: Georgia Tech becomes the first university to accept #bitcoin for stadium concessions, student dining. @BitPay | http://t.c…

2014-10-01 15:27:35

ProfNoodlearms tweeted: @ProfNoodlearms

@evelynjlamb your alma mater is proud of you! They are using you to advertise for new students! http://t.co/6JVhdYYPKl

2014-10-01 15:25:54

freakonometrics tweeted: @freakonometrics

a "dirty little secret"? https://t.co/SXZZS7armI the banking industry "has suffered from decades of underinvestment in technology"

2014-10-01 15:19:10

CardColm tweeted: @CardColm

RT @WWMGT: "One of [Smullyan's] books is titled 'What Is the Name of This Book?' The question of course becomes the title" p138 Undiluted …

2014-10-01 15:17:55

CardColm tweeted: @CardColm

2014-10-01 15:17:51

freakonometrics tweeted: @freakonometrics

"Coders are 'makers.' But what exactly are they making?" http://t.co/sgBhZw2mEk

2014-10-01 15:11:31

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