Yahoo FinanceWhy a lot of fancy math can't help investors beat the marketYahoo FinanceSimilarly, none of the complicated mathematics in the finance books and journals tells you how to beat the market — even if the articles and books have a bad habit of implying, in their English language passages, results that aren't actually in the


Most Popular Stories

Why a lot of fancy math can't help investors beat the market  Yahoo Finance
MATH  Google News29 Mar 2017  11:15 am 
Fall River Charter School enters partnership with Mit Blossoms
Search for "math OR mathematics"30 Mar 2017  8:39 amThe Massachusetts Institute of Technology BLOSSOMS Program today announced it has signed a firstofitskind partnership with the Atlantis Charter School in Fall River, Massachusetts. Under the agreement, the two institutions will work together to train high school teachers to use and create BLOSSOMS lessons, and make the engaging handson learning videos on various STEM topics a regular part of the curriculum. 
An algorithm that knows when you'll get bored with your favorite mobile game
Mathematics News  ScienceDaily24 Mar 2017  5:30 amResearchers have developed a new algorithm that predicts when a user will leave a mobile game. This information is useful for game studios so that they can design strategies to maintain the player's interest. 
Mathematicians Create Warped Worlds in Virtual Reality
Scientific American  Math22 Mar 2017  10:00 amImmersive experience set to become accessible to all  Read more on ScientificAmerican.com 
Igor Shafarevich, Russian Mathematician With a Mixed Political Legacy, Dies at 93
Mathematics13 Mar 2017  4:49 pmHis work was internationally renowned, but Professor Shafarevich’s reputation as an antiSoviet dissident was later tarnished by accusations of antiSemitism.




MATH  Google News

Why a lot of fancy math can't help investors beat the market  Yahoo Finance
29 Mar 2017  11:15 amYahoo FinanceWhy a lot of fancy math can't help investors beat the marketYahoo FinanceSimilarly, none of the complicated mathematics in the finance books and journals tells you how to beat the market — even if the articles and books have a bad habit of implying, in their English language passages, results that aren't actually in the ... 
LWSD invites public to review, comment on math programs  Kirkland Reporter
29 Mar 2017  10:36 amLWSD invites public to review, comment on math programsKirkland ReporterLake Washington School District (LWSD) invites the public to review and comment on Algebra 1, Algebra 2 and Geometry materials for use in grades 712, and visual arts materials for use in grades K5. These materials are under consideration for adoption.and more 
Fairfield in a Flash 3/27  Fairfield Mirror
29 Mar 2017  8:54 amFairfield MirrorFairfield in a Flash 3/27Fairfield MirrorAs college students, we've all endured years of countless mathematics courses that professors convinced us are practical and have been told numerous times that the knowledge gained from these classes will help us in our future. And if you're anything ... 
Wyoming Department of Education reviews math standards  Wyoming Business Report
29 Mar 2017  7:35 amWyoming Business ReportWyoming Department of Education reviews math standardsWyoming Business ReportCHEYENNE – Students across Wyoming may be working toward new math standards in a year or two. The Wyoming Department of Education and the State Board of Education are beginning a review period of the state's mathematics Content and...Input sought on math standardsCody EnterpriseState adopts revised English Language Arts and Math StandardsCape Cod TodayState Ed Board adopts revised English, math standards  News  The ...Taunton Daily Gazetteall 4 news articles 
This LittleKnown Math Genius Helped America Reach the Stars  Smithsonian
29 Mar 2017  7:24 amSmithsonianThis LittleKnown Math Genius Helped America Reach the StarsSmithsonianAfter graduating from Northeastern State College with a math degree, she decided to put her skills to work on behalf of other Native Americans, working first as a statistician for the Bureau of Indian Affairs and then at a Native American boarding ...



Search for "math OR mathematics"

Fall River Charter School enters partnership with Mit Blossoms
30 Mar 2017  8:39 amThe Massachusetts Institute of Technology BLOSSOMS Program today announced it has signed a firstofitskind partnership with the Atlantis Charter School in Fall River, Massachusetts. Under the agreement, the two institutions will work together to train high school teachers to use and create BLOSSOMS lessons, and make the engaging handson learning videos on various STEM topics a regular part of the curriculum. 
Energy association announces partnership with Rowan
30 Mar 2017  8:39 amThe American Association of Blacks in Energy , an 1,800 member national energy association, announced that a new venture between Rowan University and Rowan College at Burlington County will serve as its academic partner. "We are building partnerships with educational institutions to increase support for programs and for students looking to pursue careers in energyrelated fields," said AABE Board Chair Rose McKinney James at their national conference this week. 
Acushnet school budget request comes in at $13.8 million
30 Mar 2017  8:33 amReceiving no substantial public input at their annual budget hearing Tuesday night, the Acushnet School Committee voted unanimously to file a $13.8 million operating budget request for Fiscal Year 2018, starting July 1. The final spending plan reflected nearly $93,000 in cuts made by the administrative team since the preliminary budget package was unveiled last month. Superintendent Stephen Donovan said the Fiscal Year 2018 budget plan is $427,197 higher than the school appropriation for the current fiscal year, reflecting a 3.18 percent increase in funding. 
Beatson beats fundraising goal
30 Mar 2017  8:30 amObserver courtesy photo Williston Central School's Sam Beatson, center, was the school's top fundraiser for the annual Penguin Plunge event in February, personally raising $1,290 and helping the school surpass its goal of $6,000 to raise $11,621. Principal Greg Marino, right, and team captain Jodi Bartley, left, a math specialist at Allen Brook School, presented Beatson with the top fundraising award. 
Library Notes
30 Mar 2017  8:30 amAll programs are free. Call 8784918 for information or to register. Children ages 8 and younger must be accompanied by an adult while at the library.



Mathematics News  ScienceDaily

An algorithm that knows when you'll get bored with your favorite mobile game
24 Mar 2017  5:30 amResearchers have developed a new algorithm that predicts when a user will leave a mobile game. This information is useful for game studios so that they can design strategies to maintain the player's interest. 
Brain cell simulations show critical tipping point for swelling
23 Mar 2017  9:59 amWhen brain cells don’t get enough energy, caused by a stroke or trauma, they can start swelling rapidly. New mathematical models of this mechanism show a critical tipping point: at lower energy levels, there is no way back. 
A new model for capillary rise in nanochannels offers insights into improved hydraulic fracturing (fracking)
21 Mar 2017  9:40 amWith fracking, scientists have calculated the expected level of capillary rise with the LucasWashburn equation, a mathematical model whose earliest parameters were first devised nearly a century ago. The challenge, however, is that that the equation has not been completely accurate in predicting the actual rise observed in nanocapillary laboratory experiments. 
Numerosity in humans, birds and fish based in brain's subcortex
21 Mar 2017  8:02 amA cognitive neuroscience, through study, has addressed basic research questions about how our brains process number and magnitude and how such processes give rise to more complex mathematical thinking, answering the question: where in the brain is numerical quantity evaluation processed? 
New twist on sofa problem that stumped mathematicians and furniture movers
20 Mar 2017  11:38 amWith some help from 3D printing, a UC Davis mathematician is trying to crack a problem that frustrates both mathematicians and furniture movers: What's the largest sofa you can fit round a corner?



Scientific American  Math

Mathematicians Create Warped Worlds in Virtual Reality
22 Mar 2017  10:00 amImmersive experience set to become accessible to all  Read more on ScientificAmerican.com 
Wavelet Theory Nets Top Mathematics Award
21 Mar 2017  9:00 amYves Meyer wins the Abel Prize for development of a theory with applications ranging from watching movies to detecting gravitational waves  Read more on ScientificAmerican.com 
Chaotic Orbits Could Cause Catastrophic Collision
20 Mar 2017  4:53 pmResearchers used ancient climate cycles to confirm the solar system’s chaotic planetary orbits. An Earth–Mars collision is one distant outcome. Julia Rosen reports.  Read more on ScientificAmerican.com 
The Serenity of Kakeya
19 Mar 2017  8:00 amI turn to the Kakeya needle problem for reassurance in difficult times  Read more on ScientificAmerican.com 
Making Mathematical Art
16 Mar 2017  5:00 amYou can create stunning symmetrical images armed with just a few equations and a computer  Read more on ScientificAmerican.com



Mathematics

Igor Shafarevich, Russian Mathematician With a Mixed Political Legacy, Dies at 93
13 Mar 2017  4:49 pmHis work was internationally renowned, but Professor Shafarevich’s reputation as an antiSoviet dissident was later tarnished by accusations of antiSemitism. 
Beyond ‘Hidden Figures’: Nurturing New Black and Latino Math Whizzes
17 Feb 2017  2:00 amA free math camp for middleschool students from New York’s poorest neighborhoods was an effort to increase the number of blacks and Latinos with advanced math degrees. 
Raymond Smullyan, PuzzleCreating Logician, Dies at 97
11 Feb 2017  8:41 amWhether it was in books or in conversation, Mr. Smullyan had a knack for adding a dash of whimsy to the logic puzzles he devised. 
Trying to Solve a Bigger Math Problem
3 Feb 2017  8:41 amAlgebra is a stumbling block for many freshmen. But do so many need to be in a remedial class? 
What America Can Learn From Smart Schools in Other Countries
6 Dec 2016  2:00 amThe U.S. fared poorly, as usual, in a worldwide ranking of students’ test scores, but it showed significant gains among disadvantaged teenagers.



Blog – DreamBox Learning

The One Part of Your Grant Proposal You Really Need to Ace
30 Mar 2017  8:19 amEvery part of your grant proposal is important, but if you don’t nail the abstract your request for funding may never see the light of day. Often, the abstract is the first section a potential grantor will read. Think of it as your opportunity to make a good first impression—perhaps your only opportunity. Five tips for preparing a winning abstract You know there’s a lot of competition for grant dollars and grantors field a ton of proposals. So it’s no surprise that they use the abstract to quickly separate fundable requests from those that may not so neatly align with their priorities. If you want to improve your chances for consideration, you need to ace your abstract. Here are five ways to make... 
DreamBox Recommendations for 2017 NCSM/NCTM Conference Attendees
28 Mar 2017  5:00 amThe first week of April, San Antonio will host two of the biggest math education events of the year and DreamBox will be in town for both. We’ll kick things off on April 3rd at the 2017 NCSM Annual Conference and continue the fun at the NCTM 2017 Annual Meeting and Exposition, which runs the 5th through the 8th. If you’re planning to be in town for either or both events, be sure to look us up. 2017 NCSM Annual Conference This year’s NCSM conference boasts nearly 300 sessions presented by some of the most influential, provocative, and knowledgeable math education experts and thought leaders. DreamBox VP Dr. Tim Hudson will be presenting on Tuesday April 4th and the DreamBox team we’ll be hosting... 
Tips for Attending the 2017 Blended & Personalized Learning Conference in Providence
22 Mar 2017  7:46 amThe 2017 Blended & Personalized Learning Conference (BPLC) features some of the top classroom, school, and district implementers from across the nation. Once again, the conference will be held in Providence and is expected to attract some 900 educators and leaders eager to exchange the latest blendedlearning strategies and insights. This year DreamBox CEO Jessie WoolleyWilson has the honor of introducing the exciting lunch keynote panel. DreamBox will also be the subject of a Saturday session entitled, Increasing Student Engagement and Achievement through Personalized Learning. Presented by blended learning experts and DreamBox enthusiasts Jodi Tamayoshi and Dr. Michelle Paton, this 45minute session will... 
What’s New in DreamBox
20 Mar 2017  12:00 amIn following through on our promise to continuously innovate and provide actionable insight into student learning, we are excited to share our latest enhancement to DreamBox. Don’t take our word for how cool it is. Login and experience it for yourself! Be part of DreamBox Nation™ Created for educators like you, DreamBox Nation is an online community dedicated to improving student learning with DreamBox Learning® Math. From your Insight Dashboard, you can connect with other educators, and get a direct line to the DreamBox team to provide feedback. As you participate, you’ll gain status and earn special rewards that have been designed with you in mind. “I love being a part of DreamBox Nation.... 
Three Ways Parents Can Help Eliminate the Educational Divide
14 Mar 2017  2:08 pmEducation played a significant role in last year’s election, most notably in how researchers, media and others used level of education as a proxy for how certain voters would cast their votes. Collegeeducated. Less educated. Some college. No college. When you’re trying to report on an election that is so clearly divided, these categories attempt to offer a seemingly logical way to make sense of how someone might vote based on how much education they’ve had. But as parents, don’t we want to provide all of our children with the opportunity to unlock their learning potential—regardless of their background or where they grow up? The good news is, we can. As parents, now more than ever, we can play a...



Loren on the Art of MATLAB

Find That Signpost! Using optimization and the Google Maps API in MATLAB to find a landmark
28 Mar 2017  2:36 pmInteresting problems are everywhere. Today's guest blogger, Matt Tearle, loves the chance to apply MATLAB to any intellectually stimulating puzzle. It's a fun way to learn and practice new features.Contents<ul><li>A Postcard Becomes a Puzzle</li><li>Let's Try It in MATLAB</li><li>Try an Optimization Approach?</li><li>What Does "Distance" Mean?</li><li>How Good is the Result?</li><li>What MATLAB Have You Discovered by "Accident"?</li></ul>A Postcard Becomes a PuzzleMy wife received this postcard in the mail: This is a real signpost, directing drivers to various real towns in Maine.Never one to pass up a teaching moment, I used this to explain to my daughter how you could (theoretically) figure out the location of the signpost if you knew where all these towns were, by... 
Introducing the Signal Analyzer App
14 Mar 2017  2:27 pmToday, my guest blogger is Rick Gentile, an engineer in our Signal Processing Product Marketing group. He will introduce a new app which enables you to gain quick insights into your data.Contents<ul><li>Introduction</li><li>Getting Started with Signal Analyzer</li><li>Exploring Your Signals</li><li>Extracting Signals of Interest</li><li>Gaining Insight into Your Data</li><li>Finding Signals in Your Data</li><li>Results</li><li>Learn More About Signal Analyzer</li></ul>IntroductionSignal Processing Toolbox has helped MATLAB users generate and work with signals for many years. In our recent releases, we have expanded the ability to analyze and compare signals in the time, frequency, and timefrequency domains. You can now use these capabilities to gain insights into your data, which can... 
Symbolic Analysis of the Port Passing Problem
28 Feb 2017  12:56 pmHopefully you recall the recent post where we used a montecarlo technique to simulate an infinitelystocked port decanter passing around a table of N people (always starting at position 0), moving with probability p to the left and q to the right, only stopping when everyone at the table had... read more >> 
The Perverse Port Passing Problem
14 Feb 2017  12:50 pmToday's guest blogger is Jos Martin, from the Parallel Computing group at MathWorks. Whilst normally focussing on making parallel computing both easy and fast in MATLAB, occasionally he likes to use MATLAB to explore other problem spaces. Here, he writes about an interesting random walk process he encountered that has allowed him to explore both simulation and analytic methods in MATLAB, and using each of those methods to help guide the other. Contents <ul> <li>Introduction</li> <li>A simulation approach</li> <li>Investigating the final position of the port</li> <li>Analytic probability for last position when passing is unbiased</li> <li>What happens if there is a biased probability of passing left or right?</li> <li>Does this biased...</li></ul> 
Analyzing Fake News with Twitter
7 Feb 2017  5:36 amSocial media has become an important part of modern life, and Twitter is again a center of focus in recent events. Today's guest blogger, Toshi Takeuchi gives us an update on how you can use MATLAB to analyze a Twitter feed. Contents<ul><li>Twitter Revisited</li><li>Load Tweets</li><li>Short Urls</li><li>Tokenize Tweets</li><li>Sentiment Analysis</li><li>What Words Appear Frequently in Tweets?</li><li>What Hashtags Appear Frequently in Tweets?</li><li>Who Got Frequent Mentions in Tweets?</li><li>Frequently Cited Web Sites</li><li>Frequently Cited Sources</li><li>Generating a Social Graph</li><li>Handling Mentions</li><li>Creating the Edge List</li><li>Creating the Graph</li><li>Zooming into the Largest Subgraph</li><li>Using Twitty</li><li>Twitter Search API Example</li><li>Twitter Trending Topic API Example</li><li>Twitter Streaming API Example</li><li>Summary  Visit Andy's...</li></ul>



Homeschool Math Blog

Considering an online college?
21 Mar 2017  9:04 amHere's a very comprehensive resource, listing the best online colleges there are  a good starting point for researching this topic!The best 50 online colleges for 2017 It features pictures, ranking scores, cost comparisons, graduation rates, and more. 
Doodling in math class?
21 Mar 2017  7:36 amThis is mostly useful for classroom teachers, but I thought it's a really NEAT idea  and could be adapted to other situations. The students "doodle" and color in the notes however they like, which makes them REMEMBER better!Math Doodle NotesYou'll find some freebies and some commercial products here, and of course the idea of doodle notes itself. You can make these yourself also! 
Penny Pinchers Sale!
20 Mar 2017  8:32 amThis sale happens at Currclick, and every item in it is less than $3!You will find a bunch of Math Mammoth products also... check them out here.The sale runs through March 31, 2017. 
Video for your Pi day
13 Mar 2017  2:57 pmIt's just proper to feature this video again... Pi day is tomorrow (3/14)! Calculating pi with REAL pies! It is a neat video, showing how to calculate the value of Pi using real pies (yum!). It might help your youngsters remember the definition of Pi better as they remember the visual pic of pies around the big circle and pies going across. :) And not to mention the taste buds! 
Differences between US and UK in math terminology
8 Mar 2017  3:04 pmI enjoyed this article... differences between US and British English when it comes to MATH terminology! The author is taking it humorously though sometimes it's a struggle for people who have to switch over from one to the other. :)



Denise Gaskins' Let's Play Math

Playful Math Carnival #106
28 Mar 2017  5:13 amDo you enjoy math? I hope so! If not, browsing this post just may change your mind. Welcome to the 106th edition of the Math Teachers At Play math education blog carnival — a smorgasbord of links to bloggers all around the internet who have great ideas for learning, teaching, and playing around with math from preschool to precollege. Let the mathematical fun begin! By tradition, we start the carnival with a puzzle in honor of our 106th edition. But if you would like to jump straight to our featured blog posts, click here to see the Table of Contents. Try This Puzzle If you slice a pizza with a lightsaber, you’ll make straight cuts all the way across. Slice it once, and you get two pieces. If you slice it... 
How to Break In Your New Math Journal
24 Mar 2017  5:16 amI love my new paperback math journal series. The books are sturdy, inexpensive, and fit nicely in my purse. But as with any paperback book, these have one problem. How do I use them without cracking the spine? When we exercise, we need to warm up our bodies with a bit of stretching to prevent injury. In the same way, we need to warm up a new book to protect it. The process is called “breaking it in.” It only takes a few minutes to break in a paperback book: Step by Step Never force the book but help it limber up gradually, and it will serve you well. Because my journals are working books, I take the breakingin process a bit further than shown in the video: (1) Set the book on its back and follow the... 
Dot Grid Doodling
23 Mar 2017  5:08 amWhat can you DO with a page full of dots? Yesterday, I mentioned my new series of paperback dot grid notebooks, and I promised to share a few ideas for mathematical doodling. Doodling gives our minds a chance to relax, wander, and come back to our work refreshed. And though it goes against intuition, doodling can help us remember more of what we learn. Math doodles let us experiment with geometric shapes and symmetries. We can feel our way into math ideas gradually, through informal play. Through doodles, our students will explore a wide range of mathematical structures and relationships. Our own school experiences can make it hard for us to teach. What we never learned in school was the concept of... 
Dot Grid Journals with Coloring Pages
22 Mar 2017  4:54 amMy newest book project began with a few simple coloring pages for my homeschool coop kids. You may recall when I collected those into a downloadable coloring book last December. Well, I kept tinkering with the designs into January. And then it was time to buy a new planner… The problem is, I’m not a naturally organized person. I like making lists and plans, but sticking to them is tougher. And I’ve never found a planner or organizational system that I could follow for longer than two weeks at a go. That is until I heard of bullet journaling. But journaling requires a journal — a notebook of some sort. And I couldn’t find any that I liked. Either the pages were too narrow and felt cramped, or the thing... 
Education Bloggers: Share Your Post!
20 Mar 2017  5:06 am[Image by Omar Omar (CC BY 2.0) via Flickr.] If you are a homeschooler or classroom teacher, student or independent learner, or anyone else who writes about math, now is the time to send in your favorite blog post for next week’s Math Teachers at Play (MTaP) math education blog carnival. Click here to submit your blog post Have you noticed a new math blogger on your block that you’d like to introduce to the rest of us? Feel free to submit another blogger’s post in addition to your own. Beginning bloggers are often shy about sharing, but like all of us, they love finding new readers. Don’t procrastinate: The deadline for entries is this Friday, March 24th. The carnival will be posted next week at...



Basic mathematics blog

Estimate Quotient Using Multiples
27 Mar 2017  6:34 amLearn how to estimate quotient using multiples with this easy to follow lesson. 
Printable first grade math test
24 Mar 2017  6:43 amA printable first grade math test that can readily be printed and taken to find out how well you or your kids know very basic concepts of math. 
Printable kindergarten math test
24 Mar 2017  6:41 amA printable kindergarden math test that can readily be printed and taken to find out how well you or your kids know very basic concepts of math. 
Celsius to Fahrenheit Converter
24 Mar 2017  5:54 amUse this Celsius to Fahrenheit converter to convert temperature from Celsius to Fahrenheit and from Fahrenheit to Celsius. 
Divide Using Repeated Subtraction
6 Mar 2017  8:44 amLearn to divide using repeated subtraction with this easy to follow math lesson



Computational Complexity

Parity Games in Quasipolynomial Time
28 Mar 2017  4:32 amIn one of the hallway discussions of last week's Dagstuhl I learned about an upcoming STOC paper Deciding Parity Games in Quasipolynomial Timeby Cristian Calude, Sanjay Jain, Bakhadyr Khoussainov, Wei Li and Frank Stephan. Hugo Gimbert and Rasmus IbsenJensenoffer a simplified proof of the correctness of the algorithm. A Parity Gameworks as follows: An instance is a finite directed graph where every vertex has at least one outgoing edge, integer weights on the vertices and a designated starting vertex. Alice and Bob take turns choosing the next vertex by following an edge from the current vertex. They play this game infinitely long and Alice wins if the the largest weight seen infinitely often is even.... 
The Dagstuhl Family
23 Mar 2017  2:16 amThis week I'm at the Dagstuhl workshop on Computational Complexity of Discrete Problems. As you long time readers know Dagstuhl is a German center that hosts weekly computer science workshops. I've been coming to Dagstuhl for some 25 years now but for the first time brought my family, my wife Marcy and daughter Molly, so they can see where I have spent more than half a year total of my life. Molly, currently a freshman at the University of Chicago, was the only Chicago representative, though the attendees included four Chicago PhDs, a former postdoc and a former professor. We had a different ice breaker, where each person wrote topics they think about which ended up looking look like an interesting... 
If you want to help your bad students DO NOT give an easy exam
19 Mar 2017  8:54 pm1) When I was a grad student TAing Formal Lang Theory we had a final ready to give out but noticed that one problem was too hard. So we changed it. But we made it too easy. Whoops. My thought at the time was this will help the bad students.I was wrong. Roughly speaking the students who got 7080 on the midterm now got 90100 on the final whereas the students who got 3040 on the midterm got 3545 on the final. So the bad students improved, but the better students improved more. 2) When I teach Discrete Math to LOTS of students we have a policy about midterm regrade requests. Rather than have them argue in person they have to: In writing make a clear concise argument as to why it was misgraded If your... 
NP in ZPP implies PH in ZPP
16 Mar 2017  11:54 amIf NP is in ZPP is the entire polynomialtime hierarchy in ZPP? I saw this result used in an old TCS Stackexchange postbut I couldn't find a proof (comment if you know a reference). The proof that NP in BPP implies PH in BPP is harder than it looksand NP in BQP implies PH is in BQP is still open as far as I know. I found a simple proof that NP in ZPP implies PH in ZPP and then an even simpler one. Assume NP in ZPP. This implies NP in BPP so PH is also in BPP. So we need only show BPP in ZPP. BPP is in ZPPNPfollows directly by Lautemann's proof that BPP is in Σ2P or by the fact that BPP is in MA is in S2P is in ZPPNP. By assumption, BPP in ZPPNP implies BPP in ZPPZPP = ZPP. And this is even... 
Other fields of math don't prove barrier results why do we?
13 Mar 2017  8:49 amBefore FLT was solved did some people prove theorems like: FLT cannot be proven using techniques BLAH. This is important since all current proofs use BLAH. I do not believe so. Replace FLT with Goldbach's conjectures or others and I do not believe there were ever such papers. I have sometimes seen a passing reference like `the techniques of this paper cannot get past BLAH but it was not dwelled on. The most striking example of this (and what got me to right this post) was the Erdos Distance Problem (seehere) when the result Omega( n^{ (4814e)/(5516e)  epsilon}) was shown I heard it said that this was as far as current techniques could push it. And then 11 years later the result Omega(n/log n) was...



Mathematics and Computation

Two PhD positions in Ljubljana starting October 2017
28 Mar 2017  4:27 amWe are looking for two PhD students at the Faculty of Mathematics and Physics, University of Ljubljana. The programme starts in October 2017 and lasts three years. The positions will be fully funded (subject to approval by the funding agency). The candidates should have a Master’s degree in mathematics or computer science. No knowledge of Slovene is required. The first PhD student will be advised by dr. Andrej Bauer. The topic of research is foundations of type theory. The candidate should have interest in mathematical aspects of type theory, and familiarity with proof assistants is desirable. The second PhD student will be advised by dr. Matija Pretnar. The topic of research is the theory of programming... 
Five stages of accepting constructive mathematics
10 Oct 2016  8:27 amIn 2013 I gave a talk about constructive mathematics “Five stages of accepting constructive mathematics” (video) at the Institute for Advanced Study. I turned the talk into a paper, polished it up a bit, added things here and there, and finally it has now been published in the Bulletin of the American Mathematical Society. It is not quite a survey paper, but it is not very technical either. I hope you will enjoy reading it. Free access to the paper: Five stages of accepting constructive mathematics (PDF) 
The new and improved Programming languages zoo
7 Sep 2016  1:39 amIt is my pleasure to announce the new and improved Programming languages Zoo, a potpourri of miniature but fully functioning programming language implementations. The new zoo has a decent web site, it is now hosted on GitHub, and the source code was cleaned up. Many thanks to Matija Pretnar for all the work. The purpose of the zoo is to demonstrate design and implementation techniques, from dirty practical details to lofty theoretical considerations: <ul> <li>functional, declarative, objectoriented, and procedural languages</li> <li>source code parsing with a parser generator</li> <li>recording of source code positions</li> <li>prettyprinting of values</li> <li>interactive shell (REPL) and noninteractive file processing</li> <li>untyped, statically and...</li></ul> 
Formal proofs are not just deduction steps
30 Aug 2016  8:08 amI have participated in a couple of lengthy discussions about formal proofs. I realized that an old misconception is creeping in. Let me expose it. In traditional mathematical logic (by which I mean firstorder logic, as established by Hilbert, Ackermann, Skolem, Gödel and others) the concepts of logical formula and formal proof are the central notions. This is so because the main goal of traditional logic is the metamathematical study of provability, i.e., what can be proved in principle. Other concerns, such as what can be computed in principle, are relegated to other disciplines, such as computability theory. It is too easy to forget that mathematical logic is only an idealization of what... 
What is a formal proof?
9 Aug 2016  5:28 amMike Shulman just wrote a very nice blog post on what is a formal proof. I much agree with what he says, but I would like to offer my own perspective. I started writing it as a comment to Mike’s post and then realized that it is too long, and that I would like to have it recorded independently as well. Please read Mike’s blog post first. Just as Mike, I am discussing here formal proofs from the point of view of proof assistants, i.e., what criteria need to be satisfied by the things we call “formal proofs” for them to serve their intended purpose, which is: to convince machines (and indirectly humans) of mathematical truths. Just as Mike, I shall call a (formal) proof a complete derivation tree in a...



IMA Journal of Applied Mathematics Current Issue

Stability in distribution of a threespecies stochastic cascade predatorprey system with time delays
16 Mar 2017  5:00 pm<span class="paragraphSection">Stability in distribution of solutions (SDS) is important but challenging in stochastic population models with delays since the traditional methods are difficult to apply. This article focuses on a threespecies stochastic delay preymesopredatorsuperpredator system and explores its SDS by a new approach. The new approach avoids the difficulties of some existing methods and can also be applied to investigate the SDS of other stochastic delay population models. The study reveals that the complete dynamic scenarios of SDS are characterized by three parameters $\eta_1>\eta_2>\eta_3$: if $\eta_1<1$, then all the populations are extinct; if $\eta_1>1>\eta_2>\eta_3$, then the prey... 
Hölder stability of an inverse problem for a strongly coupled reactiondiffusion system
22 Jan 2017  4:00 pm<span class="paragraphSection">This article concerns an inverse problem for a strongly coupled reactiondiffusion system, which has many applications including the cross diffusion resulted from the influence of one component on another. This inverse problem aims to determine a spatially varying coefficient in the reactiondiffusion system from internal observation data on an arbitrary subdomain. We use a new Carleman estimate to derive Hölder stability for this inverse problem. Different from the existing methods dealing with weakly or strongly coupled system, such as Fan & Chen (2012, Stability estimates for a strongly coupled parabolic system. <span style="fontstyle:italic;">Tamkang J. Math.</span>,... 
A reaction–diffusion–advection competition model with two free boundaries in heterogeneous timeperiodic environment
10 Jan 2017  4:00 pm<span class="paragraphSection">In this article, we study the dynamics of a twospecies competition model with two different free boundaries in heterogeneous timeperiodic environment, where the two species adopt a combination of random movement and advection upward along the resource gradient. We show that the dynamics of this model can be classified into four cases, which form a spreading–vanishing quartering. The notion of the minimal habitat size for spreading is introduced to determine if species can always spread. Rough estimates of the asymptotic spreading speed of free boundaries and the longtime behaviour of solutions are also established when spreading occurs. Furthermore, some sufficient... 
A mixed variational formulation for a piezoelectric frictional contact problem
23 Dec 2016  4:00 pm<span class="paragraphSection">We consider a mathematical model which describes the quasistatic contact of a piezoelectric body with an electrically conductive foundation. The material’s behaviour is described by means of an electroviscoelastic constitutive law, the contact is bilateral and is associated to Tresca’s law of dry friction. We derive a mixed variational formulation of the problem, which is in form of an evolutionary system for the displacement field, the electric potential and two Lagrange multipliers. Then we provide the existence of a unique weak solution to the model. Also, under additional assumptions, we establish its continuous dependence with respect to the friction bound and the... 
Analysis of a hysteresiscontrolled selfoscillating classD amplifier
23 Dec 2016  4:00 pm<span class="paragraphSection">This paper gives the first systematic perturbation analysis of the audio distortion and mean switching period for a selfoscillating classD amplifier. Explicit expressions are given for all the principal components of audio distortion, for a general audio input signal; the specific example of a sinusoidal input is also discussed in some detail, yielding an explicit closedform expression for the total harmonic distortion. A classD amplifier works by converting a lowfrequency audio input signal to a highfrequency train of rectangular pulses, whose widths are slowly modulated according to the audio signal. The audiofrequency components of the pulsetrain are designed to...



The Math Less Traveled

Sigma notation ninja tricks 2: splitting sums
18 Mar 2017  6:54 pm[Previous posts in this series: jumping constants] Trick 2: splitting sums I’ve written about this before, but it’s worth spelling it out for completeness’ sake. If you have a sum of something which is itself a sum, like this: you can split it up into two separate sums: (You can also sort of think of this as the sigma “distributing” over the sum.) For example, Why is this? Last time, the fact that we can pull constants in and out of a sigma came down to a property of addition, namely, that multiplication distributes over it. This, too, turns out to come down to some other properties of addition. As before, let’s think about writing out these sums explicitly, without sigma... 
Book reviews: The Joy of SET and Elements of Mathematics
14 Mar 2017  7:53 pmI have a couple of book reviews for you today! I finished both of these books recently and really enjoyed them. Though they are quite different, both gave me new ways to think about some topics I already knew, and in particular helped me make new connections between elementary and advanced concepts. [Disclosure of Material Connection: Princeton Press kindly provided me with free review copies of these books. I was not required to write a positive review. The opinions expressed are my own.] The Joy of SET Liz McMahon, Gary Gordon, Hannah Gordon, and Rebecca Gordon Princeton University Press, 2016 Most people are probably familiar with the card game SET: each card has four attributes (number, color,... 
Sigma notation ninja tricks 1: jumping constants
11 Mar 2017  6:52 pmAlmost exactly ten years ago, I wrote a page on this blog explaining bigsigma notation. Since then it’s consistently been one of the highesttraffic posts on my blog, and still gets occasional comments and questions. A few days ago, a commenter named Kevin asked, Could you explain how to take a constant outside of a summation and bring it inside the summation? This made me realize there’s a lot more still to be explained! In particular, understanding what sigma notation means is one thing, but becoming fluent in its use requires learning a number of “tricks”. Of course, as always, they’re not really “tricks” at all: understanding what the notation means is the necessary foundation for... 
The Riemann zeta function and prime numbers
6 Mar 2017  2:29 pmIn a previous post I defined the famous Riemann zeta function, Today I want to give you a glimpse of what it has to do with prime numbers—which is a big part of why it is so famous. Consider the infinite product where each sequential factor has the next prime number raised to the power. Using bigPi notation, we can write this infinite product more concisely as (The big means a roduct just like a big means a um.) Now let’s do a bit of algebra. First, recall that the infinite geometric series has the sum as long as . (For some hints on how to derive this formula if you haven’t seen it before, see this blog post or this one.) Of course, is of this form, with . Note that which is... 
Games with factorization diagram cards
17 Feb 2017  1:09 pmSince I published a deck of factorization diagram cards last September, a few teachers have picked up copies of the cards and started using them with their students. I’ve started collecting ideas for games you can play using the cards, and want to share here a few game ideas from Alex Ford who teaches middle school in St. Paul, Minnesota. If you want to get your own set you can buy one here! Also, if you have any other ideas for games or activities using the cards, please send them my way. War First, you can play a classic game of War. The twist is that while playing you should only look at the diagram side of the cards, not the side with the writtenout number. So part of the game is figuring out which...



eon

Triangular numbers modulo powers of 2 and its generalizations
14 Mar 2017  5:54 pmSomeone discussed with me an interesting problem that he was working on with his students. They found that the congruence [tex] \frac{1}{2}X(X+1) \equiv a \pmod{n} [/tex] has a solution for every [tex] 0 \le a n [/tex] if and only if [tex] n =2^k[/tex]. My first instinct of course was to complete the squares for triangular numbers and reduce the problem to [tex] X^2 \equiv a \pmod{n} [/tex]. This turn out to work well for odd modulus and the solutions for triangular numbers and squares correspond. But when the modulus was a power of 2, completing the square would not work. A simple search found a few websites where the phenomenon was recorded and it seems a (perhaps original?) source is Knuth’s the Art of... 
If there is some good inflammable stuff it will catch fire
21 Oct 2016  8:06 pmDo not try to satisfy your vanity by teaching them great many things. Awake their curiosity. It is enough to open the minds, do not overload them. Put there just a spark. If there is some good inflammable stuff it will catch fire. The quote appears at the end of chapter 14 of Polya’s Mathematical Discovery. Polya attributes the quote to Anatole France from Le jardin d’Epicure. Perhaps he translated the French into English. He further adds: There is a great temptation to paraphrase this passage: “Do not try to satisfy your vanity by teaching high school kids a lot of … just because you wish to make people believer that you understand it yourself …” Yet les us resist temptation.... 
Catalan numbers
20 Oct 2016  5:22 pmI really enjoyed reading Federico Ardila’s article in the Mathematical Intelligencer. Apparently there was a vote of 3030 members at an assembly of CUP (Not Cambridge University Press but the Candidatura d’Unitat Popular). The vote had to do with forming an alliance with another party and ultimately related to the independence of Catalonia. The amazing thing that happened was that the vote came out 1515 Yes and 1515 No. The probability that a YESNO vote of 2m persons ends up in a tie is [tex] \binom{2m}{m}/2^{2m} [/tex], closely related to the Catalan number [tex] \binom{2m}{m}/(m+1) [/tex]. I love the dual connections and of course Ardila did not fail to mention Stanley’s Enumerative Combinatorics. What... 
Truncatable Primes
27 Sep 2016  7:06 pmA colleague asked about sequences of primes a(n) such that a(n+1) is obtained by appending a single digit (in base 10) to the right of a(n). For example: 3, 31, 311 … Some thinking lead to the conjecture that such sequences are of finite length and that it is possible to use an exhaustive search to find all of them. A natural question would be what is the longest possible sequence but I was unable to find any conclusive answer on the web. So I decided to write a simple (and not very efficient) recursion in maple to search for all such primes. Here’s my ugly code: cat3prime:= proc(n) local d, s, i; s:=n; d:=irem(n,10); if isprime(s) then print(s); return(cat3prime(10*s+1)); else for i from d to 7 by 2 do ... 
Twin corrections
19 Sep 2016  5:41 pmToday is the 20th anniversary of the passing of Erdős and I would like to make two corrections. I had always thought the accent on Erdős’ name was ö , html code ö but it is actually Hungarian, html code ő. The second is the coffee quote which I had attributed to him. I realised my mistake a number of years ago but never got a chance to correct it online. Both errors were perpetuated in this post from 2004. Here is a quote from Erdős’ paper “Child Prodigies” In Hungary, many mathematicians drink strong coffee, in fact Rényi once said “a mathematician is a machine which turns coffee into theorems.” Correction done but sadly I am still not quite sure how to pronounce his name...



WordPress Tag: Mathematics

A Dozen Snub Dodecahedra, Surrounding a Dodecahedral Core
30 Mar 2017  4:13 amSoftware used — Stella 4d: Polyhedral Navigator, available as a free trial download at http://www.software3d.com/Stella.php. 
Whittling and Marshmallows
30 Mar 2017  4:08 amToday we did some whittling so that we could make sticks nice and clean before we cooked marshmallows over the fire. When we had finished whittling we cooked marshmallows over the fire. They were hot and we had to blow on them and count to ten. They tasted yummy! This slideshow requires JavaScript. 
Kakeya Needle Problem
30 Mar 2017  2:00 amThe Kakeya needle problem asks whether there is a minimum area of a region in the plane in which a line segment of width 1 can be freely rotated through 360°, where translation of the segment is allowed. This question was first posed for convex regions in 1917 by mathematician Sōichi Kakeya. It was shown by Gyula Pál that the minimum area for convex regions is achieved by an equilateral triangle of height 1 and area 1/√3. Kakeya suggested that the minimum area, without the convexity restriction, would be a threepointed deltoid shape. However, this is false. Needle rotating inside a deltoid  Source: Wikipedia Besicovitch Sets Besicovitch was able to show that there is no lower bound >0 for the area... 
Mythologie des Alltags: Rechnerisches
29 Mar 2017  9:56 pmGauss wohnte an der Eulerschen Geraden Frau Pythagoras hiess Kathete Die Hypotenuse war seine Muse Thales feierte im Kreis seiner Lieben, hatte aber danach immer mȁchtig Π Basketballer übte Wurfparabel Die Gerȁte kamen von Sinus & Co sinus Ich hau dir gleich den Tangens um die Ohren Archimedes rief nach dem Höhepunkt immer Heureka Der Psychoterapeut mochte Familienstellen nach dem Komma Philosoph liebte platonische Körper und Kurvenbesprechungen Frau Baumeister zeigte aber schon architektonische Falten Das Schaf hatte null Bock Adam Riese lag auf der Wiese Freiheit ist das einzige, was zȁhlt 
Juego de la Semana: Roll Pepperoni (3.er5.o grado) / Game of the Week: Roll Pepperoni (3rd5th grades)
29 Mar 2017  7:58 pmRoll Pepperoni es un juego de multiplicación. Estudiantes tiran un dado dos tiempos y dibujan pizzas. Clic aquí para direcciones. Roll Pepperoni is a multiplication game. Students roll a dice two times and draw pizzas. Click here for directions.



Institute for Mathematics and Computer Science

Educational Summer Camp Matters:Three Reasons Why Exercising the Mind is Important
22 Mar 2017  10:00 pmThe Institute for Mathematics and Computer Science (IMACS) believes in making sure kids exercise their minds this summer, in addition to their bodies, with fun yet educational summer camp experiences. Spending summers having fun and being outside is definitely important, but a small dose of educational summer camp is essential for all students too. Here are three reasons why: 1. Retain Knowledge: Summer vacation can often lead to forgetfulness and overall loss of learning. According to a study by the RAND Corporation, students lose, on average, one month of learning during the summer, all students lose some learning in math, and summer learning loss is cumulative over time. When kids aren't working certain... 
2016 Holiday Logic Puzzle from IMACS
14 Dec 2016  10:00 pmAs most people know, Santa Clause generates an annual list of children who have been sufficiently nice to warrant a Christmas present (and, of course, a complementary list of children who have been too naughty to deserve a present). Last December, while checking his list twice, Santa discovered that the status of four children — Amy, Bobby, Charlie, and Donna — remained in doubt. He decided to talk to the four of them in order to rank them from nicest to naughtiest. In his conversations, the children made the following claims: Amy said, "I am nicer than Charlie." Bobby said, "I am naughtier than Donna." Charlie said, "I am neither the nicest nor the naughtiest of the four of us." Donna said something as... 
Gifted Math: A Better Alternative to Acceleration
16 Nov 2016  10:00 pmFor mathematically talented children, acceleration is a commonly used approach to address their need to be challenged. Acceleration is often the most affordable option for schools, and it does help gifted children avoid unnecessary repetition. As such, acceleration works to a certain degree for all parties: Students are less bored; little or no extra work is required of teachers; districts incur little or no extra cost; and parents know that something is being done for their gifted child. Acceleration has become a "good enough" solution. While acceleration can save gifted math students from unnecessary repetition, by definition acceleration cannot go deeper than the standard curriculum, and deeper is what... 
IMACS Success Spotlight: Fiona Brady
12 Oct 2016  10:00 pmCongratulations to IMACS graduate Fiona Brady who is beginning her studies at the University of Chicago. Fiona first attended IMACS HiTech Summer Camp when she was ten. Over the next eight years, she went on to complete IMACS’ universitylevel courses in University Computer Science, AP Computer Science: Java Programming, and Logic for Mathematics. Homeschooled since fifth grade, Fiona was awarded a National Merit Scholarship, named an AP Scholar with Distinction, and scored 2360 on the SAT. She is also a second degree black belt in Taekwondo and won a bronze medal at the 2013 AAU Junior Olympic Games. As a high school student, Fiona studied four years of undergraduate, advanced undergraduate, and... 
IMACS Success Spotlight: Zachary Farnsworth
19 Sep 2016  10:00 pmCongratulations to IMACS graduate Zachary Farnsworth who is beginning his sophomore year at Stanford. Zac began taking IMACS classes in first grade. Nine years later, he had completed all of IMACS Mathematics Enrichment and Computer Enrichment and IMACS UniversityLevel Computer Science. Zac graduated valedictorian of St. Thomas Aquinas High School, but not before being founder and captain of the Robotics Club and the Programming Team, earning the rank of Eagle Scout, and being named a National Merit Scholar Finalist and National AP Scholar. Having scored 2350 on the SAT, 800 on the SAT Math II Subject Test and 5′s on the AP Calculus AB, AP Computer Science, AP Calculus BC, and AP Statistics exams, Zac...



mathrecreation

truchet tiles
26 Mar 2017  2:13 pmA short while back, I posted about the images found in books about Froebelian kindergarten exercises, likeThe Paradise of Childhood (on Google Books here). These old books provide great examples of patterns and designs that can be easily drawn by hand with graph paper, in many cases only using arrangements of congruent 4590 triangles.Nineteenth Century Froebelian DoodlesA surprising variety of patterns can be formed by restricting things even further, considering the case where each square is cut in half along a diagonal with half of the square coloured black, the other coloured white.Some arrangements of four Truchet TilesArrangements of these tiles were studied extensively by Sebastien Truchet, whose... 
probability simulations using R
24 Mar 2017  12:01 pmAn ongoing side project of mine is learning how to use the statistics scripting language R, and have been putting putting together R markdown files that set up simulations for a variety of probability problems. You can find some of them here:https://dmackinnon1.github.io/r_examples/.These are simulations that generate data based on problems like the Birthday problem, the Monty Hall problem, and the Burnt Pancake problem. Learning scripting languages aside, it is always good to keep digging into probability problems: they confuse practically everyone. 
Ulam's two step cellular automata
7 Mar 2017  6:40 pmAbove are some of the nice images generated by a cellular automata described in one of Martin Gardner's essays about Conway's Game of Life (you can find the essays here). Cells have four neighbours (north, south, east, west), and follow only two rules that are applied at each step: if a cell has one live neighbour it turns on, and if a cell is on it turns off after two steps. The images above start happening around step 100 after turning on a single cell at the centre of a 61 by 61 grid.You can play with these here. Eventually, these will start to repeat or disappear completely (I suspect they will oscillate, but have not found out when yet). On a 5 by 5 board, a single central cell will lead to a pattern... 
the ants go marching...
6 Mar 2017  2:02 pmIt's not exactly pride or satisfaction, but some related feeling, when you see your little ant marching off on the highway that emerges from the initial chaos it seemed lost in. Keep marching little buddy.You can create a small ant farm here, if you'd like. 
fibonacci foolery
11 Feb 2017  1:32 pmSome misleading dissectionsConsider a square whose sides are 5 units in length. We are going to dissect the square by cutting it as shown below. We can then rearrange the pieces to form a rectangle.But wait, the square has area 5 * 5 = 25, while the rectangle has area 8 * 3 = 24... somewhere we lost one square unit. This paradoxical result tells us that something is wrong, but what is it?Let's look at another very similar dissection, this time using a square with sides length 8 units, sliced up and reassembled in a similar way:Here the square has area 8 * 8 = 64, but the rectangle has area 13 * 5 = 65. In this case we have gained one square unit (maybe borrowed from puzzle above?).In both cases, the...



Math ∞ Blog

Working as a Forensic Accountant: Valuable Core Characteristics
29 Mar 2017  11:29 pmEver since I was young, I knew that I would eventually end up perusing a career working with numbers. I have always found Math and numbers to be exciting and interesting. I always enjoyed the fact that with other subjects there could be a multitude of correct answers to a given problem, but with Math, on the other hand, there is the right answer and the wrong answer. The satisfaction of figuring out the right answer was always such an overwhelming feeling of accomplishment for me. As I continued throughout my school days, I was introduced to several different options in Math while working with numbers, such as Trigonometry, Geometry, Algebra, Physics, Economics, Statistics, Accounting, and so on. Accounting... 
Thirteen Ways of Looking at Multiplication (with apologies to Wallace Stevens)
27 Mar 2017  12:15 pmWell, no, I’ve lied: not thirteen, but merely four ways of looking at (and doing) multiplication are contained herein. And I hope to convince you that they are essentially the same mathematically, which is very much my point. There are other ways to calculate the product of two positive integers, but I must leave those for another conversation. Today’s Standard Algorithm When I was in primary school starting in 1955, there was only one way presented for doing multidigit multiplication (though it had two variants that differed only cosmetically). I’d like to explore that approach naively (which is to say without looking at the underlying mathematics that justifies the procedure), then look at two other... 
Applying the Platinum Rule: A Conversation With Master Teacher Herb Gross
27 Mar 2017  9:00 amHerb Gross Herb Gross was born in Boston in 1928. He studied mathematics at Brandeis University and did graduate work in math at MIT, to which he returned as Senior Lecturer at MIT’s Center for Advanced Engineering Study. During his work there, he created the highly acclaimed lecture series, “Calculus Revisited.” It is through viewing that series online that I became acquainted with his masterful teaching style. I was thrilled to learn that he is still going strong at 87, having turned his attention in recent years to K12 mathematics in a free series called “Mathematics as a Second Language.” It is with great pleasure that I was able to speak with him for the inaugural interview in this... 
The Nightmare of Algorithm Interviews
6 Mar 2017  8:07 pmA recent widespread custom in the high technology industry is the “coding interview” where applicants typically stand in front of a white board for three or more hours answering questions about data structures and algorithms typically taught in collegelevel computer science (CS) programs: sorting algorithms, searching algorithms, estimating the Big O order of the algorithm, implementing linked lists, trees, and hash tables. The coding interview has become so common and pervasive that it has spawned a cottage industry of books, courses, and coaches, most notably Gayle Laakmann McDowell’s Cracking the Coding Interview (now in its 6th edition) known among cognoscenti by the acronym CTCI. Competitors... 
Book Review: Peak — Secrets from the New Science of Expertise
29 Jan 2017  12:15 pmPeak — Secrets from the New Science of Expertise by Anders Ericsson and Robert Pool Houghton Mifflin Harcourt, Boston, 216 307 pages My Rating: 4/5 How does one become an expert mathematician? How does one become one of the best mathematician’s in the world? In 2008, New Yorker magazine science writer Malcolm Gladwell popularized an answer in his bestseller Outliers: tenthousand hours of a special kind of practice called “deliberate practice.” Gladwell, whose father is a mathematics professor, attributed success in essentially all fields to this seemingly simple rule, citing examples including Bill Gates, the Beatles, and theoretical physicist J. Robert Oppenheimer amongst others. Malcolm...



MathFour

Coding Instead of Math? Yes!
19 Mar 2017  5:34 amI’ve told so many homeschool parents to stop teaching math and instead teach coding (or programming as we used to call it). If children learn coding, then math will come as needed. The logic is the same and coding is far more exciting in today’s social setting than is math. (Yes, that’s unfortunate, but it’s true. To deny it is foolish.) So I’m taking my own advice! I’ve enrolled in The Houston Coding Bootcamp Powered by UT Austin and am tickled pink at my decision. I have a bazillion projects in my mind dying to get out (including a fully robust version of the That’s Math text messaging service). I’ve been itching to share the news on MathFour.com, but have been hesitant to do so. “I’m all math all the... 
What Kind of Math Book are You?
14 Feb 2017  8:42 amYou’ve seen the quizzes for just about every “what kind of…” Now there’s a quiz tailored to the math educators. Enjoy! A big thanks to TryInteract.com for sharing a complementary super version of their quiz maker. The post What Kind of Math Book are You? appeared first on MathFour. 
Think Fun’s Rush Hour Is Enjoyable for the Very Young
2 Feb 2017  2:30 amThis is part of Wordless Wednesday and Throwback Thursday … Rush Hour is a game of logic and skill. The colorful cars are fun for other things too. The object of the game is to move the cars and let the target car “escape.” But at 4 years old, K8 was happy to figure out how to fit all the cars in the game board. Get a copy of Think Fun’s Rush Hour – it’s a noscreen, single player logic game that appeals to girls and boys alike! You might also like: <ul> <li>Rush Hour Traffic Jam Game – Low & High Tech</li> <li>The Tower of Hanoi Math Game</li> <li>Hanukkah Math – Playing the Dreidel Game</li> <li>Chutes and Ladders – It’s a Math Game!</li> </ul> The post Think Fun’s Rush Hour Is Enjoyable for the Very Young appeared first on... 
Marathon Math – The Math Behind the Houston Marathon
14 Jan 2017  6:15 pmTomorrow I attempt to finish my first marathon. There’s a 6 hour limit to finish, which makes me think about the math behind the marathon! Assuming I run a steady 13:45 minute/mile pace for the whole 26.2 miles, I’ll finish exactly in the 6 hour time limit. But of course my pace will vary. I’ll be faster at first. And I’ll likely want to crawl across the finish line. So how fast do I need to go at the beginning so I can go as slow as possible at the end? I’ll start the marathon fast. Without a backpack (which I wear running to work), I can do about a 10:30 minute/mile pace. So here’s the math problem: If my first mile is at 10:30 and my last mile averages with the first to be 13:45, what will my last mile... 
I’m the New Secretary of Education
11 Oct 2016  5:01 amToday’s Breakfast Club 5:30 tweet chat topic is, “The new President appoints you Sec. of Education. What’s the first thing you do?” As a “I’m queen of the world,” question, it’s easy. I’d quadruple the salaries of teachers. As a “this is real” question, it’s not so easy. Because I’d have to figure out the budgetary requirements for quadrupling the salaries of teachers. Regardless, I think the extreme salary bump could do the trick. Teacher Salaries x 4 Why I think it will work… I know that teacher salaries in other (more successful) countries is super high. Higher than engineers, for instance. Which gives us indication that it may work. Apart from that, let’s consider what happens...



CSE Blog  quant, math, computer science puzzles

Buying Dimsums
9 Mar 2017  5:48 amSource: Alok Goyal (Stellaris VP, ExHelion VC) puzzle blogProblem: A fast food restaurant sells dimsums in boxes of 7 and 3. What’s the greatest number of dimsums a person cannot buy. Generalize it for p and q where p and q are relatively prime. I loved the puzzle. Hope you enjoy it too. 
Law of Large Numbers Failed
27 Jul 2016  6:33 amProblem:There are two maternity hospitals in a town with 50 and 500 beds. Given full occupancy on a particular day, which of these hospitals is more likely to have equal no of boys and girls given probability of boys = probability of girls ? What would the answer intuitively be by#LawOfLargeNumbers? You would see #LawOfLargeNumbers does not seem to work here. How should the statement be positioned for #LawOfLargeNumbers to work? 
Gold Links Puzzle
29 Jun 2016  12:23 pmSource: Alok Goyal (Stellaris VP) puzzle blog Problem: This is another famous puzzle in the Martin Gardner collection, and variations of this puzzle exist in different “sizes”. This particular one has been picked up from The Colossal Book of Short Puzzles and Problems, Puzzle 9.18. Replicating the puzzle as is. Lenox R. Lohr, president of the Museum of Science and Industry in Chicago, was kind enough to pass along the following deceptively simple version of a type of combinatorial problem that turns up in many fields of applied mathematics. A traveler finds himself in a strange town without funds; he expects a large check to arrive in a few weeks. His most valuable posession is a gold watch chain of... 
Gold Links Puzzle
29 Jun 2016  12:23 pmSource: Alok Goyal (Stellaris VP) puzzle blog Problem: This is another famous puzzle in the Martin Gardner collection, and variations of this puzzle exist in different “sizes”. This particular one has been picked up from The Colossal Book of Short Puzzles and Problems, Puzzle 9.18. Replicating the puzzle as is. Lenox R. Lohr, president of the Museum of Science and Industry in Chicago, was kind enough to pass along the following deceptively simple version of a type of combinatorial problem that turns up in many fields of applied mathematics. A traveler finds himself in a strange town without funds; he expects a large check to arrive in a few weeks. His most valuable posession is a gold watch chain of... 
Soldiers in a Line
13 Sep 2015  11:03 amSource:Alok Goyal's Puzzle PageProblem: In a line up of 10 soldiers, what is the least number of soldiers that can be picked in order of either ascending or descending heights? Assume that no two soldiers have the same height. Soldiers can be picked from anywhere in the line, but their order of standing cannot be changed.



MIND Research Institute Blog

Is Your Math Program Improving Your School Culture? [rubric]
29 Mar 2017  9:00 amCould technological tools do more than just help students learn content knowledge? Nigel Nisbet,Vice President of Content Creation at MIND Research Institute, believes education technology has the capacity to help students (and teachers) develop a growth mindset around math. Last week at the District Administrators Leadership Institute (DALI) Superintendent Summit in Colorado Springs, Colo., Nigel Nisbet exploredhow math programs can impact school culture. @nigel_nisbet from @MIND_Research challenging Superintendents @da_institute to build deep learning culture! pic.twitter.com/7geUCUjgPd — Karin Wu (@KarinCWu) March 23, 2017 Building a School Culture that EmbracesGrowth Mindset More... 
Celebrating How Students Can Change Their Communities for the Better
28 Mar 2017  9:00 amFor the second year, the Disneyland® Resort Dreamers & Doers program recognized nearly 100 Orange County High School students for their achievements and the difference they are making in their communities. On February 25th, 33 students were honored as “Shining Stars” and invited to attend an educational symposium and celebratory luncheon at the Disneyland Hotel. During the symposium, students engaged in presentations on leadership and professional development, as well as activities focusing on collaborative problem solving facilitated by MIND Research Institute. One of the activities included Block Race, a collaborative math game where students contribute their blocks to teams, solve a sequence of... 
Volunteers Who Are Changing Perceptions About STEM
24 Mar 2017  10:00 amThe challenges of getting students interested in STEM(science, technology, engineering, and math)/STEAM (including the arts) are welldocumented and the implications for our economy are staggering. How can we as individuals help combat this and give students more opportunities to gain skills that will help them find success in their careers and lives? One avenue that makes a big impact is when real people like you volunteer. While professionals in the STEM fields are uniquely positioned to share their expertise with students by volunteering, anyone who is open to learning can volunteer and share the learning experience with students, regardless of their degree or career. Here are the top reasons why... 
A Key Phrase In This School's Culture? "We Will Persevere"
21 Mar 2017  9:00 amDennis Township Primary School in New Jersey welcomed JiJi the penguin, from the gamebased learning software program ST Math, during their annual JiJi Pep Rally last week. JiJi waddled over to celebrate students' progress in the ST Math program, as well as their developments in perseverance and growth mindset. Posters hung in the all purpose room included "We Will Persevere," "Welcome JiJi," and "Race to Argentina" (JiJi's last known location viapostcard). Why have a JiJi Pep Rally? Dennis Township shared why they use ST Math and integrate it into their school culture: "The goal is for students to visit new concepts and build a solid foundation gaming through variouslevels and obstacles gaining a... 
What Is It Like to Learn Math In a Different Language?
17 Mar 2017  9:00 amAs classrooms become more diverse and rich, educators are finding the need to ask this question with great empathy:What is it like to learn math in a different language? Thankfully, advances in research are helping educators uncover the strategies and solutions for providing ELLs equal access to rigorous learning. We now know that academic discourse and language processing is an integral component of deeper learning in any academic subject for all students. "There's a myth sometimes that English learners learn differently or that they need a different type of instruction, and in fact, they just need good instruction." Nigel Nisbet, MIND Research Institute The Science of Learning What is it...



Ash Tutors

Home schooling is on the increase
2 Mar 2017  10:40 amRead time: 4.7 minutesWhile there are no exact figures, it is estimated that there are around 75,000 homeschooled children in the UK and this figure is increasing every year. One of the reasons why the figures are estimated is because children who never start school are not likely to be reflected in the statistics.Even more surprising, is that although taking children out of school for holidays is illegal, despite having an otherwise good attendance, and despite the possible educational content that travel allows, it is perfectly legal to remove your child from school and teach them at home, without any teaching qualifications and without any requirement to follow the National Curriculum. Bizarre.So... 
All you need to know about the elevenplus exam
2 Mar 2017  7:54 amRead time: 3.4 minutesHave you ever wondered why despite many areas of the UK not using the eleven plus since the early 1970s there are still local authorities and private schools admitting pupils based on selection? It might surprise you to learn, there are even now, 165 remaining grammar schools in various parts of England and 70 in Northern Ireland (and many more independent schools), and so the elevenplus examination continues to thrive. These days, the 11 Plus examination is taken by some pupils in their final year of primary school in order to get into their first choice grammar school. Private schools also use versions of it to 'screen' their intake of pupils, predominantly to ensure they only... 
Thoughtful Mothers' Day gifts for kids to make
2 Mar 2017  5:39 amIt's time to get crafty with the kids because mums love nothing more than a homemade gift on Mothers' Day. Best of all, with our choice of homemade gift ideas, they are all so easy that anyone can make them!The trick will be how to direct your little darlings to this blog post, without being obvious about it! Perhaps that's a job for dad? :)Fabulous hug cushionBasically, all you are going to do is to trace and cut out felt hands before using a hot glue gun to stick them to a cushion. If you don't have access to a hot glue gun, you can use stick on with Velcro or ironon mending tape.Take a look at the full tutorial here: DucklingsInARow.com 
Healthy snacks that are easy for kids to make...
27 Feb 2017  8:25 amRead time: 4.7 minutes We have searched the globe high and low! Well OK, we've searched the internet and our own recipe books to be precise and put together a small selection of healthy snacks that are both quick and easy to make but above all, (mostly!) healthy. So go on, treat yourself and the family to a lunch box full of healthy snacks.There's no doubt about it, kids are going to love getting involved in making their own healthy snacks. Who knows, maybe they will even add a few secret ingredients of their own? One of my youngsters makes the most delicious pasta sauce by adding honey into the mix! 
10 ways to organise family life using Evernote
14 Feb 2017  7:33 amRead Time : 6.2 minutes So what exactly is Evernote? Well, some people will tell you that this tool is their digital brain! Others will tell you it's a cloudbased software tool which will keep all of your important things and store them in the cloud instead of locally on your mobile device or laptop (it can do that too of course).For both the professional and the casual, personal user Evernote is one of the best tools to help you stay organised. It will most certainly change the way you organise your personal daytoday projects as well as business projects. Once you start with Evernote, you will probably find...
