Math

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  • Mathematics of SET game

    CSE Blog - quant, math, computer science puzzles
    Pratik Poddar
    21 Dec 2014 | 3:00 am
    Source: Sent to me by Pritish Kamath (http://www.mit.edu/~pritish/) Problem: Have you ever played "SET"? You have to play it. http://www.setgame.com/learn_play http://www.setgame.com/sites/default/files/Tutorials/tutorial/SetTutorial.swf Even if you have not played the game, the game can be stated in a more abstract way as follows: There are 12 points presented in F34 and the first person to observe a "line" amongst the 12 given points gets a score. Then the 3 points forming the line are removed, and 3 random fresh points are added. Problem 1: How many points in F34 are…
  • Solving equations of sixth degree

    Marauders of the Lost Sciences
    Editors
    21 Dec 2014 | 2:10 am
    The theory of solving equations of fifth and sixth degree didn’t end when Abel proved the impossibility of solving the general algebraic equation of fifth degree or higher. Here is Cole (for whom the Cole Prize is named) recounting the … Continue reading →
  • Parabola Tangent Line Christmas Tree Craft (FREE DOWNLOAD)

    MathFour
    Bon
    14 Dec 2014 | 4:26 am
    You can get an idea of what a curve looks like just by graphing a bunch of its tangent lines. And if you pick the right tangent lines from the right curve, you can get really neat looking shapes. Like a Christmas Tree! I played around on geogebra a bit and found a pretty good one for it. I used some choice line segments of the tangent lines for the parabola . This made a great template to use for making a Christmas Tree out of wood, nails and string. I added a cork as the trunk and it looked mighty good! Collect the supplies. You’ll need… Template (download it free from my TPT page)…
  • Limited Time: Christmas Card Game

    Let's Play Math!
    Denise Gaskins
    20 Dec 2014 | 2:07 pm
    12 Days of Christmas is a card game designed by Dr. Gord Hamilton of Math Pickle. It’s designed for 2-8 players, ages 8+, to be played in 20-30 minutes. Simple enough for the whole family to play, yet strategic enough for the game geeks in the family to enjoy along with everyone else. To order, check out the Kickstarter: Have a Merry 12 Days of Christmas–from Eagle-Gryphon Games But don’t delay! The Kickstarter project ends Christmas Day. Get monthly math tips and activity ideas, and be the first to hear about new books, revisions, and sales or other promotions. Sign up for…
  • Will there be Math Mammoth Algebra 1?

    Homeschool Math Blog
    18 Nov 2014 | 6:52 am
    I've had several people ask me if I'm planning to write algebra 1, algebra 2 and other high school math courses.The answer is no. I'm planning to stop at pre-algebra. The main reason is, I've seen some fantastic high school math books other people have written -- people with lots of teaching experience etc. -- and I feel I could not surpass what those people have done. Especially when I don't have lots of experience teaching high school math to students.You see, with elementary math, there exist numerous homeschool math curricula. I've seen most of them and I can tell many of them  are…
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    MATH - Google News

  • UK lands grant for graduate scholars program in math - WKYT

    22 Dec 2014 | 2:55 am
    WKYTUK lands grant for graduate scholars program in mathWKYTThe school says the Graduate Scholars in Mathematics program will support incoming math graduate students at UK, including first-generation and Appalachian students. The program will focus on the first two years of doctoral study, with a goal of and more »
  • Williamson residents invited to review math textbooks - The Tennessean

    21 Dec 2014 | 5:15 pm
    The TennesseanWilliamson residents invited to review math textbooksThe TennesseanWilliamson County residents can review mathematics textbooks being considered for adoption by the school district starting in January. (Photo: Thinkstock.com). CONNECT 3 TWEETLINKEDINCOMMENTEMAILMORE. Williamson County residents can review ...
  • North Hunterdon (61) at Philadelphia Math, Sciences and Civics (PA) (76 ... - NJ.com

    21 Dec 2014 | 5:01 pm
    North Hunterdon (61) at Philadelphia Math, Sciences and Civics (PA) (76 NJ.comNorth Hunterdon had four players in double figures and a two-point lead at the break but Philadelphia Math, Sciences and Civics rallied for a 76-61 victory at Kutztown University in Kutztown, Pa. Terre Hellander led North Hunterdon with 16 points while
  • Mathnasium offers a new way to get kids to understand math - Heritage Newspapers

    21 Dec 2014 | 11:52 am
    Mathnasium offers a new way to get kids to understand mathHeritage NewspapersThe business, which offers instruction in math for schoolchildren, helped his child, then a third –grader, from struggling to comprehend the subject into a straight-A sixth-grader. That impressed him so much he wanted to open his own Mathnasium. Islam and more »
  • Poway boy wins gold math medal in China - U-T San Diego

    20 Dec 2014 | 12:25 pm
    U-T San DiegoPoway boy wins gold math medal in ChinaU-T San DiegoBen Lou took home a gold medal for team America at an international math competition in Beijing last month, and stole more than a few hearts in China along the way. Ben, 11, was the only member of the U.S. math team in his age group to take home a gold ...
 
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    Search for "math OR mathematics"

  • Autism and stress at holiday time

    21 Dec 2014 | 10:06 am
    An old favorite among parents with children with autism is a letter written by Viki Gayhardt addressed to relatives whom they would visit at the holidays . The author addresses all the little "well-meaning" sights, sounds, and smells of the family's traditions and how they greatly affected her son with autism and his ability to cope with this bombardment.
  • Whose mother tongue will you use?

    21 Dec 2014 | 10:02 am
    TEACHERS from different parts of the country started to question the relevance of Mother Tongue Based-Multilingual Education policy as it involves implementation of local mother tongues as the language of instruction in Kindergarten to year three , with the official languages being introduced as the language of instruction after grade three. It was questionable because the policy intends to use the community's mother tongue as a language of instruction , while in the real implementation, schools all over the country introduced an additional subject called 'Mother Tongue' from Kindergarten to…
  • PISA maths, science and reading tests can be accessed online

    21 Dec 2014 | 9:42 am
    Students, teachers and others have been invited to try the Programme for International Student Assessment online before the test is officially implemented in August. Institute for the Promotion of Teaching Science and Technology director Pornpun Waitayangkoon said the PISA online exams comprised mathematics, science and reading tests.
  • Fewer Georgians pursuing careers in education

    21 Dec 2014 | 9:30 am
    The Atlanta Journal-Constitution reports more than 12,400 people earned teaching certificates during the 2007-08 school year, according to the Georgia Professional Standards Commission. The number dropped to about 8,520 two years later and has been roughly the same since then.
  • Year in review: Top 10 video games of 2014

    21 Dec 2014 | 9:24 am
    I've spent 200 hours in its lush, frightening world and there are still huge areas I've barely visited. I can't wait to get back.
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    Mathematics News -- ScienceDaily

  • Students attending summer learning programs returned to school in the fall with an advantage in math

    16 Dec 2014 | 12:46 pm
    Students attending voluntary, school district-led summer learning programs entered school in the fall with stronger mathematics skills than their peers who did not attend the programs, according to a new study.
  • Mathematicians prove the Umbral Moonshine Conjecture

    15 Dec 2014 | 8:48 am
    Monstrous moonshine, a quirky pattern of the monster group in theoretical math, has a shadow -- umbral moonshine. Mathematicians have now proved this insight, known as the Umbral Moonshine Conjecture, offering a formula with potential applications for everything from number theory to geometry to quantum physics.
  • Basic rules for construction with a type of origami

    11 Dec 2014 | 11:26 am
    Origami is capable of turning a simple sheet of paper into a pretty paper crane, but the principles behind it can be applied to making a microfluidic device or for storing a satellite's solar panel in a rocket's cargo bay. Researchers are turning kirigami, a related art form that allows the paper to be cut, into a technique that can be applied equally to structures on those vastly divergent length scales.
  • Physicists explain puzzling particle collisions

    10 Dec 2014 | 10:13 am
    An anomaly spotted at the Large Hadron Collider has prompted scientists to reconsider a mathematical description of the underlying physics. By considering two forces that are distinct in everyday life but unified under extreme conditions, they have simplified one description of the interactions of elementary particles. Their new version makes specific predictions about events that future experiments should observe and could help to reveal 'new physics,' particles or processes that have yet to be discovered.
  • Theory details how 'hot' monomers affect thin-film formation

    10 Dec 2014 | 9:14 am
    Researchers have devised a mathematical model to predict how 'hot' monomers on cold substrates affect the growth of thin films being developed for next-generation electronics.
 
 
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    Loren on the Art of MATLAB

  • Subclasses in MATLAB

    Loren Shure
    17 Dec 2014 | 10:10 am
    I'm pleased to have Dave Foti back for a discussion of subclassing and class hierarchies in MATLAB. Dave manages the group responsible for object-oriented programming features in MATLAB.In computer science, a class represents a set of objects that share a common definition, usually including data and functions or behaviors. A subclass represents a subset of objects that share a more specific definition usually by adding or specializing data and/or functions defined in a superclass. In practice subclassing has been used to reuse functionality for a new and more specialized purpose. In recent…
  • Reading Big Data into MATLAB

    Loren Shure
    3 Dec 2014 | 1:29 pm
    Today I’d like to introduce guest blogger Sarah Wait Zaranek who works for the MATLAB Marketing team here at MathWorks. Sarah previously has written about a variety of topics. Mostly recently, she cowrote a post with me about the new webcam capabilities in MATLAB. Today, Sarah will be discussing datastore, one of the new big data capabilities introduced in MATLAB R2014b.ContentsAbout the DataWhat is a Datastore?Defining Our Input DataCreating the DataStorePreview the DataSelect Data to ImportAdjust Variable FormatRead in First ChunkExample 1: Read Selected Columns of Data for Use in…
  • MATLAB R2014b Graphics – Part 3: Compatibility Considerations in the New Graphics System

    Loren Shure
    5 Nov 2014 | 11:48 am
    Today, David Garrison, our guest blogger, will continue his series on the new graphics system in R2014b.Part 1: Features of the New Graphics SystemPart 2: Using Graphics ObjectsPart 3: Compatibility Considerations in the New Graphics SystemHere is Part 3 of the series.ContentsWhat have we learned so far?Section 1: Compatibility Considerations for R2014b graphicsWhy did we make these changes?How do the changes affect me?How do I find out more about the changes in R2014b graphics?Section 2: Visual DifferencesThe New Default ColormapLine Colors in PlotsPlot Titles and LabelsSection 3: Changes…
  • Using MATLAB to Detect Cookies

    Loren Shure
    23 Oct 2014 | 2:41 am
    Today, I'd like to introduce a guest blogger, Tom Lowell, who is a program manager here at MathWorks. He works in our hardware connectivity group, and plays with Arduinos and Raspberry Pis in his spare time. He's relatively new to both MathWorks and MATLAB and decided to write a cookie detector as his first MATLAB project.ContentsMotivationSetupCodeTuningThe OutputNotificationDo You Have a Project that Uses an IP camera?MotivationWhen I joined MathWorks, one of the first traditions I learned was that a large plate of home made cookies is delivered every Friday to every floor of every building…
  • Taking the Pulse of MOOCs

    Loren Shure
    16 Oct 2014 | 5:45 am
    Coursera is a technology platform that kickstarted the current MOOCs boom. Even though there are more MOOCs players now, it still remains one of the leading companies in this space. But how are they doing these days for delivering higher education to the masses online?Today's guest blogger, Toshi Takeuchi, would like to share an analysis using Courera's data.I am a big fan of MOOCs and I benefited a lot from free online courses on Coursera, such as Stanford's Machine Learning course. Like many websites these days, Coursera offers its data through REST APIs. Coursera offers a number of APIs,…
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    Homeschool Math Blog

  • I Will Survive! (Gloria Gaynor song)

    20 Dec 2014 | 2:23 pm
    An old top hit from the 70's... a clip of I Will Survive!, originally by Gloria Gaynor, here sung by Cheryl & my favorite group 24K Gold Music. Lots of energy!
  • Fourth grade SDC class achieves tremendous gains in math using newspapers

    9 Dec 2014 | 8:53 am
    (Maria's note: This is a true and inspiring story of a good teacher making a huge difference in these children's lives! It was an entry to my Math Moments contest in early 2014. And yes, she did win some Math Mammoth materials! I hope you enjoy the story as much as I did.)By Sylvia EverettIn 1998 I received my first teaching position, a fourth grade SDC class (Special Day Class) in one of the most dangerous parts of Northern California. The children had previously been confined to the cafeteria and sometimes even locked in to prevent runaways. I was given two aides who while they tried their…
  • Printable Thanksgiving activities

    24 Nov 2014 | 1:36 pm
    If you're preparing for Thanksgiving, check out my daughter Abby's web page for some FREE printable Thanksgiving activities for children, including color-by-numbers, copy-the-pictures, find the correct path worksheets, and regular coloring pages. Besides freebies, my girls have also put together a book that contains many more Thanksgiving-themed activities:http://www.currclick.com/product/88483/Thanksgiving-Activity-PackThis book costs $3.95 at Currclick. But, the first link goes to free activities.
  • Man who had half of his brain removed

    21 Nov 2014 | 4:49 am
    I received this story in an email and thought it was very encouraging and heart-warming! True story. I asked Scott for his permission to post it online.In the beginning he is referencing this article of mine (I sent it to my list last year):http://www.mathmammoth.com/lessons/value_of_mistakes.php Enjoy... and SHARE. :)Hello Maria, I am just NOW ... today reading this email from about one year ago. I know terrible, but late than never, right. Anyway, I wanted to write you and tell you that like Cameron, I had more than half of my brain removed in 1978. I had brain surgery for an AVM, arterial…
  • Will there be Math Mammoth Algebra 1?

    18 Nov 2014 | 6:52 am
    I've had several people ask me if I'm planning to write algebra 1, algebra 2 and other high school math courses.The answer is no. I'm planning to stop at pre-algebra. The main reason is, I've seen some fantastic high school math books other people have written -- people with lots of teaching experience etc. -- and I feel I could not surpass what those people have done. Especially when I don't have lots of experience teaching high school math to students.You see, with elementary math, there exist numerous homeschool math curricula. I've seen most of them and I can tell many of them  are…
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    Let's Play Math!

  • Math Teachers at Play #81 via Life Through A Mathematician’s Eyes

    Denise Gaskins
    20 Dec 2014 | 2:25 pm
    [Featured Image (above) by Math Giraffe, and Math Goggles image (right) by Moebius Noodles — two great posts from this month’s carnival.] Number sense, measurement, place value, functions, calculus for kids, Christmas math activites, art, and much more — check out the December math education blog carnival: Math Teachers at Play (MTaP) Blog Carnival #81 Welcome to the 81st edition of Math Teachers at Play (MTaP) Blog Carnival. I am extremely exited to host this post in my favorite month of the year, December… Understanding 81: An interesting fact is that 81 is a…
  • Limited Time: Christmas Card Game

    Denise Gaskins
    20 Dec 2014 | 2:07 pm
    12 Days of Christmas is a card game designed by Dr. Gord Hamilton of Math Pickle. It’s designed for 2-8 players, ages 8+, to be played in 20-30 minutes. Simple enough for the whole family to play, yet strategic enough for the game geeks in the family to enjoy along with everyone else. To order, check out the Kickstarter: Have a Merry 12 Days of Christmas–from Eagle-Gryphon Games But don’t delay! The Kickstarter project ends Christmas Day. Get monthly math tips and activity ideas, and be the first to hear about new books, revisions, and sales or other promotions. Sign up for…
  • Join My Mailing List for Math Tips and Book Updates

    Denise Gaskins
    11 Dec 2014 | 6:11 am
    Tabletop Academy Press: Learning is a lifelong adventure. Are you looking for playful ways to help your children learn math? Now you can get math tips and activity ideas by email, as well as find out when I put out a new book or revise an old one. Check out my shiny new emailing list: Tabletop Academy Press Updates I hope to send out a “Math Snack” (no-preparation math activity idea) at least once a month. In the meantime, your sign-up bonuses include a 4-page article on solving word problems and a pre-publication peek at my new Math You Can Play book series of games for preschool…
  • Do You Blog About Math?

    Denise Gaskins
    8 Dec 2014 | 8:20 am
    by Mike Licht, NotionsCapital.com It’s carnival time again. Activities, games, lessons, hands-on fun — if you’ve written a blog post about math, we’d love to have you join our Math Teachers at Play (MTaP) math education blog carnival. Posts must be relevant to students or teachers of school-level mathematics (that is, anything from preschool up through first-year calculus). Old posts are welcome, as long as they haven’t been published in past editions of this carnival. Click here to submit your blog post. Browse all the past editions of the Math Teachers at Play blog…
  • December Advent Math from Nrich

    Denise Gaskins
    1 Dec 2014 | 6:44 am
    [Feature photo (above) by Austin Kirk via Flickr (CC BY 2.0).] Click on the pictures below to explore a mathy Advent Calendar with a new game, activity, or challenge puzzle for each day during the run-up to Christmas. Enjoy! Advent Calendar 2014 – Primary Advent Calendar 2014 – Secondary Get monthly math tips and activity ideas, and be the first to hear about new books, revisions, and sales or other promotions. Sign up for my Tabletop Academy Press Updates email list.
 
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    ChapterZero

  • My podcast masterlist

    swiftset
    6 Dec 2014 | 7:05 pm
    Here’s an early Christmas gift to you: a list of podcasts I enjoy! For listening while you’re doing all your holiday season travelling. APM: Marketplace KCRW’s Left, Right, and Center Newshour BBC World Update: Daily Commute Common Sense with Dan Carlin PRI’s The World: Latest Edition On the Media The Young Turks Video Podcast Citizen Radio Best of the Left Podcast The David Pakman Show TWIB! Prime (This Week in Blackness) MSNBC Rachel Maddow (video) NPR: Intelligence Squared U.S. Debates Podcast The Read The Complete Guide to Everything Throwing Shade My Brother, My…
  • Mirror descent is, in a precise sense, a second order algorithm

    swiftset
    1 Oct 2014 | 10:47 pm
    For one of our projects at eBay, I’ve been attempting to do a Poisson MLE fit on a large enough dataset that Fisher scoring is not feasible. The problem is that the data also has such large variance in the scales of the observation that stochastic gradient descent does not work, period — because of the exponentiation involved, you need to take a very tiny step size to avoid overflow errors, but this step size is shared by all the parameters, so you can’t make progress in this way. An alternative is adagrad, which maintains separate stepsizes for each parameter, but that…
  • Algebra: it matters

    swiftset
    15 Sep 2014 | 4:42 pm
    I’m looking at two different models for learning polynomial functions, and trying to determine if they are equivalent. After a couple days of thinking, I’ve reduced the question to the following: Can every symmetric polynomial of degree \(r\) in \(d\) variables that has no constant term be written as a sum of the \(r\)-th powers of linear polynomials in \(d\) degrees and a homogeneous polynomial of degree \(r\) each of whose monomials involves at most \(d-1\) variables?
  • Julia, once more

    swiftset
    9 Aug 2014 | 12:43 pm
    Julia + PyCall + CCall + Gadfly or PyPlot (+ Julia Studio ?) looks delicious. The only feature that absolutely needs to be added is shared memory parallelism (why wasn’t this an initial core feature of the language?), but I’m extremely excited by the current awesomeness of the Julia ecosystem. I recommend you get into it now, if you’re a scientific computation person. Update: Julia has experimental support for shared-memory arrays on Unix, which is really all that I need at this point. Great!
  • a bit on word embeddings

    swiftset
    25 Jul 2014 | 9:31 pm
    Lately I’ve been working almost exclusively on continuous word representations, with the goal of finding vectorial representations of words which expose semantic and/or syntactic relationships between words. As is typical for any interesting machine learning problem, there are a glut of clever models based on various assumptions (sparsity, hierarchical sparsity, low-rankedness, etc.) that yield respectable embeddings. Arguably, however, the most well known of these representations are the word2vec models due to Mikolov et al., which are part of a larger class of neural network-based…
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    Computational Complexity

  • The NIPS Experiment

    18 Dec 2014 | 4:44 am
    The NIPS (machine learning) conference ran an interesting experiment this year. They had two separate and disjoint program committees with the submissions split between them. 10% (166) of the submissions were given to both committees. If either committee accepted one of those papers it was accepted to NIPS. According to an analysis by Eric Price, of those 166, about 16 (about 10%) were accepted by both committees, 43 (26%) by exactly one of the committees and 107 (64%) rejected by both committees. Price notes that of the accepted papers, over half (57%) of them would not have been…
  • Joint Center for Quantum Information and Computer Science

    15 Dec 2014 | 9:42 am
    (Guest post by Andrew Childs who is now at the Univ of MD at College Park) We have recently launched a new Joint Center for Quantum Information and Computer Science (QuICS) at the University of Maryland. This center is a partnership with the National Institute of Standards and Technology, with the support and participation of the Research Directorate of the National Security Agency/Central Security Service. QuICS will foster research on quantum information and computation. We are pleased to announce opportunities for Hartree Postdoctoral Fellowships (deadline: December 30, 2014) and Lanczos…
  • The Ethics of Saving Languages

    11 Dec 2014 | 5:22 am
    The linguist John McWhorter wrote an NYT opinion piece entitled Why Save a Language? where he argues why we should care about saving dying languages, basically that language gives us a window into culture. As a computer scientist I appreciate the scientific value of studying languages but perhaps the question is not whether we should care but is it ethical to save languages? Languages developed on geographical and geopolitical boundaries. Even as new methods of communication came along such as postal mail, the printing press, the telephone and television there never was a strong reason…
  • Godel and Knuth Prize Nominations due soon. Which would you rather win? Or ...

    9 Dec 2014 | 8:38 am
    (Alg Decision Theory conference in Kentucky: here.) Knuth Prize Nominations are due Jan 20, 2015. For info on the prize see here, if you want to nominate someone go here. Godel Prize Nominations are due Jan 31, 2015. For info on the prize see here, if you want to nominate someone go here Would you rather: Win a Godel Prize Win a Knuth Prize Have a prize named after you when you are dead Have a prize named after you when you are alive I pick 4; however, I doubt I'll have of 1,2,3,4 happen to me. How about you?
  • Favorite Theorems Recap

    4 Dec 2014 | 5:23 am
    We've now completed five decades of favorite theorems. 1965-1974 1975-1984 1985-1994 (PDF) 1995-2004 And to recap the ten we chose this year from 2005-2014 Undirected Connectivity in Log Space Optimal Inapproximability for Max-Cut Limitations of linear programming Complexity of Nash Equilibrium Combinatorial Proof of PCP Theorem Constructive Proof of the Lovász Local Lemma Polylogarithmic independence fools AC0 QIP = PSPACE Lower Bounds on Multilinear Formulas NEXP not in ACC0 Ten more in ten years. 
 
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    WordPress Tag: Mathematics

  • Branches of Account

    hafizkhalidabdulsattar
    18 Dec 2014 | 10:25 am
    There are three major types of Branches of account:   Financial Accounting: Financial accounting produces general purpose reports for sue by the great variety of people who are interested in the organization but who are not actively engaged in its day to day operation. Cost Accounting: The main object of cost accounting is to determine the cost of goods manufactured or produced by the business. it is also helps the management of the business in controlling the costs by indicating avoidable losses and waste. Managerial Accounting: The object of this accounting is to communicate the…
  • A thought about a gear with primes

    misha
    18 Dec 2014 | 9:52 am
  • Vector analysis

    durbarsquare
    18 Dec 2014 | 8:31 am
    The relationship between math and physics is deep. When studying physics, one sometimes feels physics and math become one and the same. However, they are not the same. In fact, physicists warn against emphasizing the math side of physics too much. To paraphrase one of the greatest post–World War II scientists, Richard Feynman: “It is not because you understand the Maxwell equations mathematically inside out, that you understand physics inside out.” Indeed, while vector equations and fields and all those other mathematical constructs do represent physical realities, one needs to…
  • 3 Activities Using Christmas Cards

    mamarickardo
    18 Dec 2014 | 6:29 am
    You get to December and suddenly post gets interesting. Even at 28, i get a Christmas card buzz. I know its less joyful for some, and more of a chore, but for me there is something quite lovely about sitting back with a list and my address book, popping on a festive movie and writing til my hands hurt (with my bad hands, thats not long; it’s total fluke if you receive a card from me which is remotely legible) and working my way through them. Then receiving them is a little joy too! It seems that i have passed it onto Squirrel who hears the post and runs to get them and brings them over…
  • That Was The REF That Was..

    telescoper
    18 Dec 2014 | 6:11 am
    I feel obliged to comment on the results of the 2014 Research Excellence Framework (REF) that were announced today. Actually, I knew about them yesterday but the news was under embargo until one minute past midnight by which time I was tucked up in bed. The results for the two Units of Assessment relevant to the School of Mathematical and Physical Sciences are available online here for Mathematical Sciences and here for Physics and Astronomy. To give some background: the overall REF score for a Department is obtained by adding three different components: outputs (quality of research papers);…
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    mathrecreation

  • Some notes on the Kaprekar function

    Dan MacKinnon
    2 Dec 2014 | 5:50 pm
    Consider a 3 digit number, say 395. Take its digits and form the greatest and least possible 3 digit numbers and subtract them: 935 - 359 = 594. Now do the same with the result:  954 - 459 = 495. Try it again, and you see that the process has hit a fixed point: 954 - 459 = 495.The Kaprekar function involves taking a number, computing two shuffles of its digits (the shuffle with the greatest value, and the one with the least value), and then taking the difference of those two shuffles. So for an integer n, if g is the number you get from re-arranging the digits of n from greatest to…
  • GSP and LOGO (for MITx: 11.132x)

    Dan MacKinnon
    20 Oct 2014 | 7:51 pm
    Note: This post is an assignment for the Edx MOOC MITx: 11.132x Design and Development of Educational Technology. The assignment had to be posted online, and since it relates somewhat to the themes of this blog, I put it here.Educational Technology Then and Now: Geometer's Sketchpad and LOGOGeomter's Sketchpad (GSP) is an example of current educational technology that is based on design and educational principles that can generally be described as constructionist. Widely used in contemporary classrooms, GSP is based on ideas about computer-human interaction that date back to the 1960s, and…
  • circles, hexagons, flowers

    Dan MacKinnon
    2 Oct 2014 | 7:02 pm
    Was playing around with intersecting circles, as in this post.
  • A year of tinkering

    Dan MacKinnon
    29 Sep 2014 | 6:37 pm
    You really should take advantage of the free until August 2015 license that is currently being offered with a fresh download TinkerPlots. Would that it was freely available in perpetuity without condition, but a year of tinkering is nice.If you are a middle school teacher, then this is designed for you and yours. If, like me, you are not, you may find it fun to play with anyway.  Here is something I was playing with recently:An elementary school number sense activityIn the JUMP math curriculum for grades 3 and 4, there are lessons where students investigate the patterns formed when…
  • modular tables

    Dan MacKinnon
    17 Sep 2014 | 7:13 pm
    No, not a post about IKEA furniture. A while  ago I put up a post on colouring multiplication tables by assigning ranges of numbers a colour value. You end up with something that looks like a rainbow.This image was made in Tinkerplots, so it was easy to go from a 10 x 10 table to a 50 x 50 table (removing the numbers and just keeping the colours, and shrinking each cell down a bit):Inspired by the "Zn Multiplication visualizer" found here and mentioned here, and thinking about modular arithmetic from the last post, I decided to make a few more images.If you take the values in this…
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    MathFour

  • Parabola Tangent Line Christmas Tree Craft (FREE DOWNLOAD)

    Bon
    14 Dec 2014 | 4:26 am
    You can get an idea of what a curve looks like just by graphing a bunch of its tangent lines. And if you pick the right tangent lines from the right curve, you can get really neat looking shapes. Like a Christmas Tree! I played around on geogebra a bit and found a pretty good one for it. I used some choice line segments of the tangent lines for the parabola . This made a great template to use for making a Christmas Tree out of wood, nails and string. I added a cork as the trunk and it looked mighty good! Collect the supplies. You’ll need… Template (download it free from my TPT page)…
  • 10 Math Words to Use Over the Holidays (And a Few Bad Puns)

    Bon
    11 Dec 2014 | 2:35 am
    You may not know it, but it’s pretty easy to integrate math words into holiday conversations. Below are 10 math words and phrases along with ways you can use them. And as a bonus, there are three ways to integrate corny math puns into your conversation too! Good Math Words Addition – combining the values of two numbers into their sum “The tinsel is a nice addition to the tree. Hey, ‘addition’ is a math word – we’re adding tinsel to the tree!” Absolute Value – the distance a number is from zero. “If you think of our house as…
  • Elapsed Time Differentiated Worksheets

    Bon
    9 Dec 2014 | 2:43 am
    I teach math to teens at a private special education school. My students are all at different levels – really different levels. But when I prepared for teaching time, I didn’t realize just how different their levels really were. So after reams of wasted paper on worksheets that didn’t work, I decided on a truly differentiated method. Worksheets with Post-It Notes I took a few basic supplies and created worksheets that I can change instantly. Using Post-It notes, I can create a worksheet for a student based on what they know. If they are struggling with elapsed time in minutes and…
  • Singapore Math is Thinking Math

    Bon
    4 Dec 2014 | 3:27 am
    I’ve been hearing about Singapore Math for years now. Every time I investigate, it just looks like it’s based on pictures. In some senses, this is true. It goes deeper than that, though. This “picture math” gives students freedom. It allows them to use paper as working memory! In my classes, I encourage students to use tons of paper for pictures and math sketching. A professor of mine used to say, “You have to get your hands dirty.” Thinking inside your head is not enough. Yes, some people do it. And some people are very good at it. But for the vast…
  • Indian Corn Craft with Fractions, Decimals and Percent Practice!

    Bon
    14 Nov 2014 | 3:13 am
    I found this awesome activity on fractions, decimals and percents a few months ago that was perfect for understanding, well… fractions, decimals and percents! Last night, browsing pinterest, I got the idea of putting it into a math craft for Indian Corn. #lightbulb So just for you, kind reader, here is the free downloadable handout with all the great goodies. (That’s on Teachers Pay Teachers, btw, but it’s free.) Supplies The free downloadable template Crayons or colored pencils Scissors Glue or glue stick Optional: one piece of paper or construction paper…
 
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    CSE Blog - quant, math, computer science puzzles

  • Mathematics of SET game

    Pratik Poddar
    21 Dec 2014 | 3:00 am
    Source: Sent to me by Pritish Kamath (http://www.mit.edu/~pritish/) Problem: Have you ever played "SET"? You have to play it. http://www.setgame.com/learn_play http://www.setgame.com/sites/default/files/Tutorials/tutorial/SetTutorial.swf Even if you have not played the game, the game can be stated in a more abstract way as follows: There are 12 points presented in F34 and the first person to observe a "line" amongst the 12 given points gets a score. Then the 3 points forming the line are removed, and 3 random fresh points are added. Problem 1: How many points in F34 are…
  • Expected Number of Attempts - Broken Coffee Machine

    Pratik Poddar
    9 Dec 2014 | 7:09 am
    Source: Mind Your Decisions Blog Related Problem: Expected Length of Last Straw - Breaking the back of a Camel - CSE Blog Problem: Your boss tells you to bring him a cup of coffee from the company vending machine. The problem is the machine is broken. When you press the button for a drink, it will randomly fill a percentage of the cup (between 0 and 100 percent). You know you need to bring a full cup back to your boss. What’s the expected number of times you will have to fill the cup? Example: The machine fills the cup 10 percent, then 30 percent, then 80…
  • Pebble Placement Puzzle 2

    Pratik Poddar
    9 Nov 2014 | 5:30 am
    Source: AUSTMS Gazette 35 Related Problem: Pebble Placement Puzzle 1 Problem: Peggy aims to place pebbles on an n × n chessboard in the following way. She must place each pebble at the center of a square and no two pebbles can be in the same square. To keep it interesting, Peggy makes sure that no four pebbles form a non-degenerate parallelogram. What is the maximum number of pebbles Peggy can place on the chessboard?
  • Pebble Placement Puzzle 1

    Pratik Poddar
    6 Nov 2014 | 5:27 am
    Source: AUSTMS Gazette 35 Problem: There are several pebbles placed on an n × n chessboard, such that each pebble is inside a square and no two pebbles share the same square. Perry decides to play the following game. At each turn, he moves one of the pebbles to an empty neighboring square. After a while, Perry notices that every pebble has passed through every square of the chessboard exactly once and has come back to its original position. Prove that there was a moment when no pebble was on its original position.
  • Diminishing Differences Puzzle

    Pratik Poddar
    18 Oct 2014 | 3:05 am
    Source: Australian Mathematical Society Gazette Puzzle Corner 34 Problem: Begin with n integers x1, . . . , xn around a circle. At each turn, simultaneously replace all of them by the absolute differences Repeat this process until every number is 0, then stop. Prove that this process always terminates if and only if n is a power of 2. Shameless plug: Follow CSE Blog on CSE Blog - Twitter and CSE Blog on Quora. :-)
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    Marauders of the Lost Sciences

  • Boole on the Calculus of Finite Differences

    Editors
    22 Dec 2014 | 2:10 am
    Boole is primarily remembered today for his work in symbolic logic (“Boolean Algebra”), but he did many other things besides. Here he invokes an old result of Gauss in a Treatise on the Calculus of Finite Differences. 7. As was … Continue reading →
  • Solving equations of sixth degree

    Editors
    21 Dec 2014 | 2:10 am
    The theory of solving equations of fifth and sixth degree didn’t end when Abel proved the impossibility of solving the general algebraic equation of fifth degree or higher. Here is Cole (for whom the Cole Prize is named) recounting the … Continue reading →
  • Ada and the first computer program

    Editors
    20 Dec 2014 | 2:10 am
    Wikipedia describes the origin of “the notes” which included the first “program” as follows In 1842, Babbage was invited to give a seminar at the University of Turin about his Analytical Engine. Luigi Menabrea, a young Italian engineer, and future … Continue reading →
  • Father Lemaître invents the Big Bang

    Editors
    19 Dec 2014 | 2:10 am
    The Catholic priest Georges Lemaître was the inventor of the big bang theory and the first to propose and estimate what later became known as Hubble’s constant. Here is Father Lemaître’s own words on an expanding universe. According to the … Continue reading →
  • Jaynes has a Good understanding of Hempel’s Paradox

    Editors
    18 Dec 2014 | 2:10 am
    Jaynes notices how easy it is to generate “paradoxes” by finding seemingly intuitive statements which contradict the basic sum and product rules of probability theory. Jaynes illustrates this using a “paradox” popularized (but not original to) the philosopher Carl Hempel. … Continue reading →
 
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