SalonYou're wrong about Common Core math: Sorry, parents, but it makes more sense SalonIn the national discussion on America's perceived educational woes, the Common Core Standards have become a bit of a unifying punching bag, especially with respect to elementary school math. Everyone seems to love a photo of a test question, homework ...Common Core ignites math war in North CarolinaNews & Observerall 3 news articles »


Most Popular Stories

You're wrong about Common Core math: Sorry, parents, but it makes more sense ...  Salon
MATH  Google News28 Nov 2015  3:30 pm 
Sunday's Games
Search for "math OR mathematics"28 Nov 2015  5:48 pmCOIN HANDLERS/PROCESSORS 1ST AND 2ND SHIFT LOOMIS ARMORED, Boylston MA is now HIRING! 1st and 2nd Shift Coin Handlers/Processors $11.50 per hour Full Time  Permanent Apply online at www.work4loomis.com Loomis is an equal opportunity employer. EOE AA M/F/Vet/Disability. 
Using sphere packing models to explain the structure of forests
Mathematics News  ScienceDaily26 Nov 2015  7:42 amExplaining the complex structure of tropical forests is one of the great challenges in ecology. An issue of special interest is the distribution of different sizes of trees, something which is of particular relevance for biomass estimates. A team of modellers has now developed a new method that can be used to explain the tree size distribution in natural forests. To do so, the scientists use principles from stochastic geometry. Using this approach, it is possible to assess the structure of natural forests across the world more quickly, and produce more accurate biomass estimates. 
Math Can Equal Fun
Scientific American  Math20 Nov 2015  5:15 pmHarvey Mudd College math professor Arthur Benjamin talks about his new book The Magic of Math: Solving for x and Figuring Out Why  Read more on ScientificAmerican.com 
Herbert Scarf, an Economistâs Mathematician, Dies at 85
NYT > Mathematics22 Nov 2015  9:00 pmMr. Scarf, a Yale mathematician, never took an economics class, but his theories were accepted by businesses and governments.




MATH  Google News

You're wrong about Common Core math: Sorry, parents, but it makes more sense ...  Salon
28 Nov 2015  3:30 pmSalonYou're wrong about Common Core math: Sorry, parents, but it makes more sense ...SalonIn the national discussion on America's perceived educational woes, the Common Core Standards have become a bit of a unifying punching bag, especially with respect to elementary school math. Everyone seems to love a photo of a test question, homework ...Common Core ignites math war in North CarolinaNews & Observerall 3 news articles » 
Fracking's promise: Pennsylvania used bad math to inflate industry's job numbers  Wilkes Barre TimesLeader
28 Nov 2015  1:46 pmWilkes Barre TimesLeaderFracking's promise: Pennsylvania used bad math to inflate industry's job numbersWilkes Barre TimesLeaderFracking's promise: Pennsylvania used bad math to inflate industry's job numbers. First Posted: 4:44 pm  November 28th, 2015. By Tom Wilber  Press & SunBulletin. The oncebustling offices of Chesapeake Energy, near Sayre, Pennsylvania, are quieter ... 
'Dying of math': More Obamacare coops expected to go bankrupt  Twitchy
28 Nov 2015  1:13 pmTwitchy'Dying of math': More Obamacare coops expected to go bankruptTwitchyTwitchy. Return to article top. Facebook Share; Twitter Tweet; RSS Feed Subscribe · Email Send. 'Dying of math': More Obamacare coops expected to go bankrupt. Home · US Politics · Entertainment · Media · Newsletter · tinfoil hat conspiracy cat ...and more » 
Jets face history and math tests in mustwin against Dolphins  ESPN (blog)
28 Nov 2015  11:02 amESPN (blog)Jets face history and math tests in mustwin against DolphinsESPN (blog)The New York Jets will celebrate their history this Sunday, with close to 80 former players returning to MetLife Stadium for what amounts to a homecoming day. The festivities will include the Ring of Honor ceremony, as Emerson Boozer and Matt Snell ...How is Todd Bowles trying to get Jets back on track? Simple mathNew York Postall 510 news articles » 
Online multiplayer,c++ in unreal engine,math required  GameDev.net
28 Nov 2015  10:38 amOnline multiplayer,c++ in unreal engine,math requiredGameDev.netHello,I always wanted to make a multiplayer game,then I found unreal engine(4) but when I found out that I need to know a lot of math(something that I never expelled at nor faild) I was ruined but I am willing to face this challange.So far I know that ...



Search for "math OR mathematics"

Sunday's Games
28 Nov 2015  5:48 pmCOIN HANDLERS/PROCESSORS 1ST AND 2ND SHIFT LOOMIS ARMORED, Boylston MA is now HIRING! 1st and 2nd Shift Coin Handlers/Processors $11.50 per hour Full Time  Permanent Apply online at www.work4loomis.com Loomis is an equal opportunity employer. EOE AA M/F/Vet/Disability. 
Computer literacy, going beyond the basics
28 Nov 2015  5:43 pmComputers are used every day for just about every task imaginable, including work, school and recreation. In fact, most people carry one around their pocket. 
Online shopping stakes claim in grocery business
28 Nov 2015  5:41 pmThe math seems fairly simple: Almost everybody has a smartphone, is starved for time and needs to eat. But marrying shopping carts with touchscreen microprocessors has proved to be tougher than it looks. 
Just how bad are the breastfeeding police?
28 Nov 2015  5:11 pmI read Courtney Jung's book on breastfeeding activism while nursing my second child. Or, to be accurate, while pumping in The Washington Post's lactation room  a closetlike space that requires maneuvering around an office chair to get to the sink , the microwave and the mini fridge . 
Young Asks For Thoughts On Comm...
28 Nov 2015  5:02 pmNew Yorkers still have a few days to share their opinions on the Common Core Learning Standards with New York state.



Mathematics News  ScienceDaily

Using sphere packing models to explain the structure of forests
26 Nov 2015  7:42 amExplaining the complex structure of tropical forests is one of the great challenges in ecology. An issue of special interest is the distribution of different sizes of trees, something which is of particular relevance for biomass estimates. A team of modellers has now developed a new method that can be used to explain the tree size distribution in natural forests. To do so, the scientists use principles from stochastic geometry. Using this approach, it is possible to assess the structure of natural forests across the world more quickly, and produce more accurate biomass estimates. 
Exploring the physics of a chocolate fountain
24 Nov 2015  5:43 pmA mathematics student has worked out the secrets of how chocolate behaves in a chocolate fountain, answering the ageold question of why the falling 'curtain' of chocolate surprisingly pulls inwards rather than going straight downwards. 
Forecasting the path of breast cancer in a patient
23 Nov 2015  7:18 amA mathematical model has been developed to forecast metastatic breast cancer survival rates using techniques usually reserved for weather prediction, financial forecasting and surfing the Web. 
Mathematical model helps show how zebrafish get their stripes
17 Nov 2015  10:03 amThe iconic yellow and blue stripes of zebrafish form dynamically as young fish develop and grow. A new mathematical model helps to show how pigment cells interact to form the pattern. 
Parents aiming too high can harm child's academic performance
17 Nov 2015  8:26 amWhen parents have high hopes for their children's academic achievement, the children tend to do better in school, unless those hopes are unrealistic, in which case the children may not perform well in school.



Scientific American  Math

Math Can Equal Fun
20 Nov 2015  5:15 pmHarvey Mudd College math professor Arthur Benjamin talks about his new book The Magic of Math: Solving for x and Figuring Out Why  Read more on ScientificAmerican.com 
Math on the Run
18 Nov 2015  5:00 amIf you ran a race at an average pace of 3:07 per kilometer, did you run any single kilometer in exactly 3:07? Well, it's complicated.  Read more on ScientificAmerican.com 
Attempts to Predict Terrorist Attacks Hit Limits
16 Nov 2015  5:53 amErratic human behavior and incomplete information plague efforts to model this risk  Read more on ScientificAmerican.com 
Breakthrough Prize Recipients Present Their Latest Findings [Live Video Feed]
9 Nov 2015  9:00 amThe Breakthrough Prize is the richest award in science, conferring $3 million on each winner or winning team. In a series of symposia, current and previous winners discuss the science that earned...  Read more on ScientificAmerican.com 
6 $3 Million Breakthrough Prizes Awarded for Basic Science
8 Nov 2015  6:00 pmTeams behind advances in neutrino particle physics, topology, optogenetics and other fields took home science’s richest prize  Read more on ScientificAmerican.com



NYT > Mathematics

Herbert Scarf, an Economistâs Mathematician, Dies at 85
22 Nov 2015  9:00 pmMr. Scarf, a Yale mathematician, never took an economics class, but his theories were accepted by businesses and governments. 
A Panic Button for the Phone
21 Nov 2015  9:00 pmAfter his sister died when medical help was available, Michael Nelson devised an app, iUDAME, to ensure that in a traumatic event, the right people will know immediately. 
Nationwide Test Shows Dip in Studentsâ Math Abilities
27 Oct 2015  9:00 pmEducation officials said the decline in scores was unexpected, but could be related to changes ushered in by the Common Core standards. 
Math for Fun
21 Oct 2015  9:00 pmA math teacher writes, âHigh school math teachers have time limitations in their schedule, so âfunâ math is often an optional activity.â 
A Math Professorâs Imperfect Baseball Predictions Bode Well for the Mets
18 Oct 2015  9:00 pmBruce G. Bukiet, who forecasts baseball standings, had his worst year in 2015. But all was not lost: His New York Mets finished in first place, not 11 games back as he projected.



Loren on the Art of MATLAB

Swing Low, Sweet Probability: Guessing the results of every match in the 2015 Rugby World Cup
23 Nov 2015  5:54 amToday's guest blogger is Matt Tearle, who works on our MATLAB training materials here at MathWorks. Originally from New Zealand, Matt was delighted with the All Blacks' recent victory at the 2015 Rugby World Cup. What better way to celebrate than to analyze the results with MATLAB?Contents<ul><li>A shortlived competition</li><li>Win or lose: a simplistic analysis</li><li>Win, lose, or draw: a more realistic approach</li><li>All things being unequal: building a strategy</li><li>Playing the percentages: a boring but effective strategy</li><li>Full time: who won?</li><li>Can you do better?</li></ul>A shortlived competitionThe New Zealand TAB (betting agency) offered a $1 million prize to anyone who could correctly predict the result of all 48 matches in the 2015 Rugby World Cup.... 
An Old Adage in MATLAB
13 Nov 2015  5:20 amI have to admit, I enjoy puns and plays on words of almost any kind. As I was driving to work this morning, I was thinking about the MATLAB function eval. And something just clicked for me. I am sure the person sitting in the car beside me at the light thought I was crazy.$$zip(\$) = \sqrt{all(e^{val})}$$Of course, later I looked on the internet, and, of course, found variants dozens of times over. Oh well.To understand the equation I wrote, it may help to know some tennis terminology. It may also help to know some synonyms for 0 :).Of course, we, at MathWorks, might say something a bit different. See this article, and this one, for examples. They discuss why not too "poof" variables into the... 
Analyzing Baby Names with MATLAB R2015b
3 Nov 2015  7:50 amToday's guest blogger is Matt Tearle, from the Training Services group here at MathWorks. Matt puts two data analysis functions introduced in R2015b through their paces with some unexpected uses.Contents<ul><li>Introducing two new functions</li><li>Popular baby names, from Aagot to Zzyzx</li><li>Putting theory into practice</li><li>Preaching the good news</li><li>Converting counts to percentages</li><li>Where will findgroups and splitapply take you?</li></ul>Introducing two new functionsOur tireless MATLAB developers keep adding great new functionality for data analysis. I've been having fun playing with two new functions introduced in R2015b: findgroups and splitapply. These functions make it easy to find all unique combinations of key variables, assign a group number... 
Whatâs Up, Doc?
21 Oct 2015  8:28 amToday’s guest blogger is Leslie McBrayer, who is in the Documentation group at MathWorks. Her team's goal is to make it easier for you to learn how to use our products. She is writing today about some features of the R2015b documentation: a few that are new, and a few that have been around for some time.Contents<ul><li>Function and Block Pages</li><li>Archived Versions</li><li>Online Content</li><li>Font Size</li><li>Product Information</li><li>Your Feedback Welcomed</li></ul>Function and Block PagesIf you're like most folks who use our documentation, you have probably viewed reference pages that provide detailed information about how to use specific functions or blocks. To get a sense of what has changed for R2015b, let's look at the page for a brand new function,... 
40yearold Algorithm That Cannot Be Improved
14 Oct 2015  8:14 amIt is interesting to see how an obscure algorithm sometimes gets a break in news headlines like For 40 years, computer scientists looked for a solution that doesn’t exist in the Boston Globe. Today's guest blogger, Toshi Takeuchi, introduces us to this curious computer algorithm. Contents<ul><li>Edit Distance</li><li>Examples</li><li>The Algorithm</li><li>How about Sentences?</li></ul>Edit DistanceThe Boston Globe article talks about an algorithm known as edit distance . This is actually an important algorithm used in natural language processing and computational biology for such applications as spell checking, OCR, and genomic sequencing. But this discovery is perhaps most interesting to computational biologists because the computational intensity...



Homeschool Math Blog

Thanksgiving is upon us soon...
22 Nov 2015  6:06 pmWhen preparing for Thanksgiving with children, check out this Thanksgiving Activity Pack put together by my two daughters, Hannah and Abby :)This Activity Pack includes colorbynumber worksheets, coloring pages, copythepicture worksheets, dottodots, find the correct path activities, find the wrong picture worksheets, matching activities, coded riddles, find the twins worksheets, mazes, secret codes, and a trace the dot worksheet.It suits best children from preschool level to about 5th grade. 
Math Mammoth Thanksgiving SALE
17 Nov 2015  6:17 amThe traditional Math Mammoth Thanksgiving SALE is here!Get 30% off of all Math Mammoth & Make It Real Learning products sold at Kagi (downloads and CDs). Follow the links to Kagi's order pages from the product pages on this site, and use coupon code THANKSGIVING. The offer is valid till December 2, 2015. :) 
Review lesson for 6th grade: fractions and decimals
4 Nov 2015  1:56 pmIn this video lesson of mine, we review how to write decimals as fractions, what to do when an addition or subtraction contains BOTH fractions and decimals, and how to place decimals & fractions on a number line. The lesson suits best 6th grade math but is of course useful for other students (BIG or SMALL) too. The 2nd part of this lesson has to do with a word problem concerning unit prices and a "bonus" problem of converting the fraction 1/7 into a decimal. Hope they are of help! :) 
CUTE 1st grade fractions exercise  different colors indeed!
4 Oct 2015  1:26 pmThis is what my son did on one of his Math Mammoth pages when studying FRACTIONS in 1st grade math... Look closely at the instruction for question 1d... color both halves, but different colors! It was so cute. :) This worksheet page is found in my book Introduction to Fractions and also in Math Mammoth Grade 1 Complete Curriculum. 
Addition facts within 10  1st grade math
30 Sep 2015  12:06 pmCheck out my videos on this page at my site! They present an organized and logical method for children to learn their addition facts within 10 using PATTERNS that arise from the number system itself.Children LOVE patterns, and patterns are the essence of math â mathematics has even been defined as the "science of patterns".In this method, we study sums with 5, sums with 6, sums with 7, and so on until sums with 10 (also called "number bonds"). These sums or number bonds are not studied in random order, but grouped by the SUM, or the "answer".



DeniseGaskins.com

Math Teachers at Play #92
24 Nov 2015  5:42 amWelcome to the 92nd edition of the Math Teachers At Play math education blog carnival‌—‌a monthly 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 couple of puzzles in honor of our 92nd edition… Puzzle #1 92 is a pentagonal number, so I was delighted when Lisa Winer‘s (@Lisaqt314) carnival submission came in. Her class spent some time playing around with figurate number puzzles‌—‌including pentagonal numbers‌—‌and collaborated on a blog post about their discoveries. Click here to find Winer’s own notes about the lesson,... 
Understanding Math: A Cultural Problem
18 Nov 2015  4:54 amAll parents and teachers have one thing in common: we want our children to understand and be able to use math. Counting, multiplication, fractions, geometry â these topics are older than the pyramids. So why is mathematical mastery so elusive? The root problem is that weâre all graduates of the same system. The vast majority of us, including those with the power to shape reform, believe that if we can compute the answer, then we understand the concept; and if we can solve routine problems, then we have developed problemsolving skills. —Burt Furuta The culture we grew up in, with all of its strengths and faults, shaped our experience and understanding of math, as we in turn shape the experience of our... 
Education Bloggers: Share Your Post!
16 Nov 2015  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. <ul> <li>Click here to submit your blog post.</li> </ul> Have you noticed a new math blogger on your block that youâd like to introduce to the rest of us? Feel free to submit another bloggerâs 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, November 20. The carnival will be posted next week... 
A Penny for Your Math
12 Nov 2015  5:04 amYou know you’re a math teacher when you see a penny in the parking lot, and your first thought is, “Cool! A free math manipulative.” My homeschool coop math students love doing math with pennies. They’re rather heavy to carry to class, but worth it for the student buyin. This month, I’m finishing up the nearly 150 new illustrations for the upcoming paperback edition of my Let’s Play Math book. I’m no artist, and it’s been a long slog. But a couple of the graphics involved pennies‌—‌so when I saw that penny on the ground, it made me think of my book. And thinking of my book made me think it would be fun to share a sneak peek at coming attractions… The Penny Square: An Example of Real Mathematics Real... 
Everyone Can Learn Math
10 Nov 2015  9:35 amHere’s a new video from Jo Boaler at YouCubed.org. Boaler’s Four Key ResearchBased Messages <ul> <li>Everyone can learn math to high levels. Studies have shown that our brains are capable of tremendous growth as we study and learn new things.</li> <li>Believe in yourself. When we believe in our potential for growth, our brains respond differently from those who believe their ability is fixed.</li> <li>Struggle and mistakes are really important. The brain ponders a mistake and fires a spark, even if we don’t notice it consciously. Our students need to be challenged â work that is too easy stifles growth.</li> <li>Speed is not important. When we emphasize speed, we discourage deep thinking. And the stress due to time pressure can cause...</li></ul>



Basic mathematics blog

Gas tank word problem
21 Nov 2015  6:18 pmThe tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8100 gallons of gas filled the station's tank. After that the tanker 
Math Game
18 Nov 2015  11:02 amThis math game will help you review a wide variety of math topics while having fun at the same time. 
Trigonometric ratios of Special Angles
29 Oct 2015  6:56 amA table to help you visualize the trigonometric ratios of Special Angles 
How to find sine and cosine using the unit circle
27 Oct 2015  7:27 amFind out how to use the unit circle to find sin(30 degrees), sin(60 degrees), cos(30 degrees), and cos(60 degrees) 
Using the 306090 triangle to find sine and cosine
27 Oct 2015  6:07 amUsing the306090 triangle to find sine(30 degrees), sin(60 degrees) cos(30 degrees), and cos(60 degrees)



Computational Complexity

Star Trek Computing
23 Nov 2015  7:30 amIn the wake of Leonard Nimoy's death last February, I decided to rewatch the entire original Star Trek series, all 79 episodes. I had watched them each many times over in high school in the 70's, though the local station removed a scene or two from each episode to add commercial time and I often missed the opening segment because I didn't get home from school in time. Back in those stone ages we had no DVR or other method to record shows. I hadn't seen many episodes of the original series since high school. Now I can watch the entire episodes whenever I want in full and in order through the magic of Netflix. I finished this quest a few days ago. Some spoilers below. I could talk about the heavy sexism,... 
A Silly String Theorem
19 Nov 2015  5:53 amFirst a note on a serious theorem: Babai has posted a video (mp4, 1h 40 m, 653MB) of his first talk on his Graph Isomorphism algorithm. I was giving a talk on the Kleene star operator (don't ask) and came across this cute little problem. Say a language L commutes if for all u,v in L, uv=vu. Problem: Show that L commutes if and only if L is a subset of w* for some fixed string w. Here w* is the set of strings consisting of zero or more concatenations of w with itself. The if case is easy, but I found the other direction pretty tricky and came up with an ugly proof. I found a cleaner proof in Seymour Ginsburg's 1966 textbook The Mathematical Theory of Context Free Languages which I present here. â If u=wi... 
Is the word Quantum being used properly by civilians? Understood by them? You know the answer.
16 Nov 2015  9:20 amI've seen the word `civilians' expanded in use from nonmilitary to nonX for some X. Not sure I've ever seen `civilians' mean `people who don't do math stuff' until the title of todays post. Well, there is a first time for everything. I've blogged in the past about the use of the word Quantum (here) . The phrase Quantum Leap means a BIG leap, where as Quantum stuff is small. Though, to be fair, the discovery (invention?) of Quantum Mechanics was a big leap. So maybe that IS proper use. The James Bond movie Quantum of Solace uses Quantum to mean small, the ONLY time I've seen Quantum used to mean small, so Kudos to the title of an absolutely awful movie. Commenters on my prior blog on the subject... 
A Primer on Graph Isomorphism
12 Nov 2015  5:30 amI spent 14 years on the faculty at the University of Chicago. I know LĂĄszlĂł Babai well, we collaborated on some of my best known work. I also know Ryerson 251, a room where I've seen hundreds of talks and given more than a few myself. So I could imagine the excitement in that room on Tuesday as Babai gave the most anticipated talk in the history of theoretical computer science, the first of several talks Babai is giving on his new algorithm for graph isomorphism [Video]. Gabriel Gaster extensively live tweeted the event. Jeremy Kun has some details. For this post instead of doing a bad job trying to overview Babai's proof, I'll explain the graph isomorphism problem and why it is important in the... 
Looking forward to the GI result
8 Nov 2015  6:59 pmAs you all know Laszlo Babai will give a talk Tuesday Nov 10 on a result: GI in quasipolynomial time (2 to a polylog). Other theory blogs have already commented on this (GLL,In Theory,ShetlOpt) When I was in Graduate School (early 1980's) it looked like GI would get into P. Three key results: graphs of bounded degree, graphs of bounded genus, graphs of bounded eigenvalue multiplicity, were all shown to be in P. These results used group theory and linear algebra in serious ways so the thought was that more advanced group theory, perhaps the classification of all finite simple groups (CFSG) would be used to show GI in P. If CFSG was used in an algorithm for GI in P then the algorithm might have an...



Mathematics and Computation

Agda Writer
7 Nov 2015  3:06 amMy student Marko KoleĆŸnikÂ is about to finish his Master’s degree in Mathematics at the University of Ljubljana. He implemented Agda Writer,Â a graphical user interface Â for the Agda proof assistant on the OS X platform. As he puts it, the main advantage of Agda Writer isÂ no Emacs, but the list of cool features is a bit longer: <ul> <li>bundled Agda:Â it comes with preinstalled Agda so there isÂ zero installation effortÂ (of course, you can use your own Agda as well).</li> <li>UTF8 keyboard shortcuts:Â it is supereasy to enter UTF8 characters by typing their LaTeX names, just like in Emacs. It trumps Emacs by converting ASCII arrows to their UTF8 equivalents on the fly. In the preferences you can customize the long...</li></ul> 
Provably considered harmful
5 Aug 2015  11:19 amThis is officially a rant and should be read as such. Here is my pet peeve: theoretical computer scientists misuse the word “provably”. Stop it. Stop it! Theoretical computer science is closer to mathematics than it is to computer science. There are definitions, theorems and proofs. Theoretical computer scientists must understand mathematical terminology. The words “proof” and “provable” are in the domain of mathematical logic. A statement is provable if it has a proof in a given formal system. It makes no sense to say “provable” without specifying or implying a specific proof system. But theoretical computer scientists say things like (I just googled these randomly) “A Provably Optimal Algorithm for... 
Intermediate truth values
30 Jul 2015  1:16 amI have not written a blog post in a while, so I decided to write up a short observation about truth values in intuitionistic logic which sometimes seems a bit puzzling. Let $\Omega$ be the set of truth values (in Coq this would be the setoid whose underlying type is $\mathsf{Prop}$ and equality is equivalence $\leftrightarrow$, whileÂ in HoTT it is the hpropostions). Call a truth value $p : \Omega$Â intermediate if it is neither true nor false, i.e., $p \neq \bot$ and $p \neq \top$. Such a “third” truth value $p$ is proscribed by excluded middle. The puzzle is to explain how the following two facts fit together: <ol> <li>“There is no intermediate truth value” is an intuitionistic theorem.</li> <li>There are models of...</li></ol> 
The troublesome reflection rule (TYPES 2015 slides)
19 May 2015  8:10 amHere are the slides of my TYPES 2015 talk “The troublesome reflection rule” with fairly detailed presenter notes. The meeting is Â taking place in Tallinn, Estonia â a very cool country in many senses (it’s not quite spring yet even though we’re in the second half of May, and it’s the country that gave us Skype). Download slides:Â The troublesome reflection rule (TYPES 2015)Â [PDF]. 
Another PhD position in Ljubljana
3 Apr 2015  4:12 amIt is my pleasure to announce a second PhD position in Ljubljana! A position is available for a PhD student at the University of Ljubljana in the general research area of modelling and reasoning about computational effects. The precise topic is somewhat flexible, and will be decided in discussion with the student. The PhD will be supervised by Alex Simpson who is Professor of Computer Science at the Faculty of Mathematics and Physics. The position will be funded by the Effmath project (see project description).Â Full tuition & stipend will be provided. The candidate should have a master’s (or equivalent) degree in either mathematics or computer science, with background knowledge relevant to the project...



Natural Blogarithms

Creation Care is Worship in Action
5 Nov 2015  5:20 pmI was honored to be asked to write one of the devotionals for our Creation Care emphasis at WBU this week. I thought I’d share what I wrote. âWhatever you do, work at it with all your heart, as working for the Lord, not for human masters, since you know that you will receive an inheritance from the Lord as a reward. It is the Lord Christ you are serving.â Colossians 3:2324 “I should take better care of my things.” Those words, as they came out of my daughter’s mouth were eerily reminiscent of my own childhood mistakes. She had destroyed another pair of earbuds and took full responsibility for their neglect. As for myself, it was me leaving a toy outside to be chewed up my beloved beagle. Later, it... 
Moving OneNote Notebook to OneDrive
17 Sep 2015  2:56 pmI was asked a great question in class today. Someone had a friend whose computer crashed and the student was worried about what would happen if that wiped out an important OneNote Notebook. That would be a catastrophe for me, if I were to completely lose either my Wayland or even Personal Notebook from OneNote. Fortunately, that’s not going to happen since I actually have both those notebooks in the cloud and are thus, synced across several devices. Even if an electromagnetic pulse (EMP) knocked out all of Plainview, my notebooks are stored safely on servers in Microsoft’s data farm. I should be careful to say it’s not impossible, just extremely improbable. So, how do you move your notebook to OneDrive?... 
Itâs okay to feel inferior
2 Jul 2015  7:35 amFind value in being the wall, when alone, you are only a brick Not all posts on this site will have to do with math, teaching, or technology. Â For example, today, during my time alone with God, I was impressed to record the following in my journal. Â It may not be exceedingly profound, but I don’t want to soon forget it because I am often, easily wounded when my ego takes a hit. Do not let your feelings push you to overreact when you encounter someone that excels at something you do not. For one, you must remember that your value, whether to yourself, to the world as a whole, or to your creator, does not depend on how well you fair against other individuals. You are vastly more complicated and intricate... 
My First Program from 1987
20 Apr 2015  5:37 pmBack in 2010, I posted a brief story about one of the highlights of my childhood, the first time I was able to get a program to successfully compile and run on my Apple IIeÂ clone, the Laser 128. Here’s the tale again: I was subscribed to a childrenâs magazine called “321 Contact” and in the back of every issue were a couple of programs in BASIC (as in the BASIC programming language). I can still vividly remember one of the most exciting and exhilarating moments of my childhood, perhaps of my whole life. The moment came after seemingly endless hours of trying to get the very first program to run. I knew nothing about how I was supposed to type it in, whether punctuation or case had anything to do with... 
Cherylâs Birthday â Singapore Math Problem
14 Apr 2015  3:05 pmThis math problem went viral yesterday so I had my kids tackle it. It took us all working together but we got a solution. Here’s the problem that appeared all over reddit, Facebook, and Twitter: Don’t read any further unless you want to know the answer. #spoilers … Hint 1: Albert’s first statement rules out any month with a unique day (18 or 19) since he’s certain Bernard doesn’t know the exact date. If Bernard had been told 18, for example, that means he could know it was June 18, but Albert is certain Bernard doesn’t know so it couldn’t have been June that Albert was told. Same goes for May since the 19th is unique to May. Hint 2: With May and June ruled out, Bernard says he now knows what the full...



IMA Journal of Applied Mathematics  current issue

Regularized model of posttouchdown configurations in electrostatic MEMS: interface dynamics
19 Nov 2015  1:26 pmInterface dynamics of postcontact states in regularized models of electrostatic–elastic interactions are analysed. A canonical setting for our investigations is the field of MicroElectromechanical Systems (MEMS) in which flexible elastic structures may come into physical contact due to applied Coulomb forces. We study the dynamic features of a recently derived regularized model (Lindsay, A. E. et al. 2014 Regularized model of posttouchdown configurations in electrostatic MEMS: equilibrium analysis. Physica D), which describes the system beyond the quenching singularity associated with touchdown, that is after the components of the device have come together. We build on our previous investigations of... 
Time optimal control of the monodomain model in cardiac electrophysiology
19 Nov 2015  1:26 pmAn optimal control approach to a simplified reaction–diffusion system describing cardiac defibrillation is proposed that allows for joint optimization of shape and duration of defibrillation pulses. Within the framework, optimized multiphasic pulses with low energy, short duration and/or low amplitude can be designed according to specific needs. The approach is based on a novel time optimal control formulation for the monodomain model, which takes into consideration the dynamical system properties of the uncontrolled equation. The highly complex dynamics requires a consistent discretization of first and secondorder information to guarantee effective optimization schemes leading to successful... 
Periodic solutions of coupled systems on networks with both timedelay and linear coupling
19 Nov 2015  1:26 pmThis paper focuses on the existence of periodic solutions for coupled systems on networks with timedelay and linear coupling (CSNDLC). Based on graph theory, coincidence degree theory and the Lyapunov method, a systematic approach for the existence of periodic solutions to CSNDLC is developed. And this approach is applied to the linear coupled oscillators with timedelay on a network. In addition, global asymptotic stability criterion for its periodic solution is obtained. Finally, a numerical example is provided to illustrate the effectiveness of the results developed. 
A finite element approach to modelling fractal ultrasonic transducers
19 Nov 2015  1:26 pmPiezoelectric ultrasonic transducers usually employ composite structures to improve their transmission and reception sensitivities. The geometry of the composite is regular with one dominant length scale and, since these are resonant devices, this dictates the central operating frequency of the device. In order to construct a wide bandwidth device it would seem natural therefore to utilize resonators that span a range of length scales. In this article, we derive a mathematical model to predict the dynamics of a fractal ultrasound transducer; the fractal in this case being the Sierpinski gasket. Expressions for the electrical and mechanical fields that are contained within this structure are expressed in... 
Mathematical principles for the design of isostatic mount systems for dynamic structures
19 Nov 2015  1:26 pmIsostatic mounts are used in applications like telescopes and robotics to move and hold part of a structure in a desired pose relative to the rest, by driving some controls rather than driving the subsystem directly. To achieve this successfully requires an understanding of the structure of the coupled space of configurations and controls, and of the singularities of the mapping from the coupled space to the space of controls. It is crucial to avoid such singularities because generically they lead to large constraint forces and internal stresses which can cause distortion. In this paper we outline design principles for isostatic mount systems for dynamic structures, with particular emphasis on robots.



The Math Less Traveled

MaBloWriMo 27: From subgroups to equivalence relations
28 Nov 2015  10:00 amAgain, let be a group and a subgroup of . Then we can define a binary relation on elements of , called , as follows: if and only if there is some such that . That is, for any two elements , either , or not: yes, if you can get from to by combining (on the right) with some element in , and otherwise, no. Note that given any two elements , it is always possible to get from to by combining with some element of : in particular, . But this might not be an element of . Now, an equivalence relation on a set is a relation with the following three properties: <ol> <li>Reflexivity: every is related to itself, that is, .</li> <li>Symmetry: If , then also .</li> <li>Transitivity: If and , then .</li> </ol> The usual equality relation... 
MaBloWriMo 26: Left cosets
27 Nov 2015  10:00 amLet be a group and a subgroup of . Then for each element we can define a left coset of by . That is, is the set we get by combining (on the left) with every element of . For example, given the subgroup (this was the other subgroup of âdid you find it?), the left coset corresponding to is . A few observations: <ul> <li>The cosets corresponding to different elements of might be the same. For example, the left coset of corresponding to is , just like the coset for .</li> <li>Can you find the other possible (left) cosets of in ? What do you notice?</li> <li>As you may guess, there are also things called right cosets, denoted , where we combine with an element on the right. is not such a good example anymore, since in the...</li></ul> 
MaBloWriMo 25: Subgroups
26 Nov 2015  10:00 amSo in the remainder of the month, weâll prove that in any group , the order of each element must evenly divide the order (size) of the group. I said in an earlier post that this is called Lagrangeâs Theorem; actually, my memory was a tad off and it turns out that Lagrangeâs Theorem is slightly more general than this, but implies it as a fairly straightforward corollary. Today, we need to define the concept of a subgroup. If is a group, then is a subgroup of (written ) when <ol> <li>The set of elements of is a subset of the set of elements of , and</li> <li> is also a group, under the same binary operation as .</li> </ol> If then you can think of as a group âhiding insideâ a bigger group . Given some subset of the... 
MaBloWriMo 24: Bezoutâs identity
25 Nov 2015  10:51 amA few days ago we made use of BĂ©zoutâs Identity, which states that if and have a greatest common divisor , then there exist integers and such that . For completeness, letâs prove it. Consider the set of all linear combinations of and , that is, , and suppose is the smallest positive integer in this set. For example, if and , then you can check that, for example, , and , and are all in this set, as is, for example, , but the smallest positive integer you can get is . We will prove that in fact, is the greatest common divisor of and . Consider dividing by . This will result in some remainder such that . I claim the remainder is also of the form for some integers and : note that is of this... 
MaBloWriMo 23: contradiction!
24 Nov 2015  6:47 amSo, where are we? We assumed that is divisible by , but is not prime. We picked a divisor of and used it to define a group , and yesterday we showed that has order in . Today weâll use this to derive a contradiction. Recall that we picked so that âwe can always pick a divisor of that is less than (or equal to) the square root of . We then defined in terms of as . So how many elements are in the set ? Thatâs not too hard: there are choices for the coefficient , and choices for the coefficient ; each pair of choices gives a different element of , which therefore contains elements. So what about the order of ? We got by throwing away elements from without an inverse. At least we know that ...



WordPress Tag: Mathematics

Precursory Exercises in Vector Calculus (Lindgren)
28 Nov 2015  11:16 amIf the vector is ten units long and points east, and the vector is five units long and points 45Âș no 
Why does the sky bleed?
28 Nov 2015  10:30 amThe above photograph shows the view from my bedroom on a winters morning. It is one of the traits of any scientist when they see something like this to stop and affirm in their mind they know what is really happening. WeÂ do notÂ sit around basking in the beauty of such phenomena – leave that to the artists. The reason the sky is red is not one which is of overall great complexity it is just nice to stop and think about what is really happening. Perhaps we should start with why the sky is normally blue? It seems foolishÂ to explain why the sky is red before we know why it was blue in the first place. And then why sunlight is a warm yellow. Then finish up with red. It all comes down to light. The elusive,... 
Success: More or Less?
28 Nov 2015  10:24 am“The traditional school often functions as a collection of independent contractors united by a common parking lot.” Â ~Robert Eaker~ After a move to a new school in September and, what could only be described as an interesting fall, I’m starting to feel a little more settled with my (not so) new surroundings. Over the past few months I’ve had the chance to focus on getting to know the school community, the students, families and staff and see, more or less, how the school ‘works’. It is often noted thatÂ there is greater consistency in practice across schools than within a given school. During 24 years in public education, working at 10 schools in various capacities; teacher, mentor and administrator I’ve... 
Reading the Comics, November 27, 2015: 30,000 Edition
28 Nov 2015  8:00 amBy rights, if this installment has any title it should be “confident ignorance”. That state appears in many of the strips I want to talk about. But according to WordPress, my little mathematics blog here reached its 30,000th page view at long last. This is thanks largely to spillover from The Onion AV Club discovering my humor blog and its talk about the late comic strip Apartment 3G. But a reader is a reader. And I want to celebrate reaching that big, round number. As I write this I’m at 30,162 page views, because there were a lot of AV Clubrelated readers. Bob Weber Jr’s Slylock Fox for the 23rd of November maybe shouldn’t really be here. It’s just a puzzle game that depends on the reader... 
Mathematics in Action
28 Nov 2015  4:38 amOn Wednesday 25th November 2015 I took 13 sixth form students from my school to the Mathematics in Action event organised by The Training Partnership. It was an excellent day out and I summarised some of my notes from the day’s lectures in a post for my students which is replicated below. Host (Tom Evans) The host of the day was Tom Evans. He opened up the session with two puzzling questions which the audience were asked to attempt during the breaks between speakers. The problems are below: Happy birthday Fermat’s last theorem (Simon Singh) The opener was Simon Singh talking about Andrew Wiles and Fermat’s last theorem. He opened up the talk with the start of the BBC Horizon episode (see here) he directed...



Math Bootcamps

The pin code problem
15 Nov 2015  6:33 amHow many people do you need to get together before it will be reasonably likely that two share the same pin code? We know by the pigeonhole principle that given more than 10,000 we can be certain there is a repeat, but does the probability pass 50% much earlier? It turns out that this is closely related to the famous “birthday problem” and that you actually need fewer than 150 people before it is reasonably likely two share the same pin. In fact, if you include just SOME of the data we have on actual pin codes people selected, the number is dramatically smaller! You can read the details over on my personal blog: http://www.jerimiannwalker.com/pincodesandthebirthdayproblem/ The post The pin code... 
Probability Terminology
16 Sep 2015  6:02 amBefore you can really begin to understand probability questions, there are a few words/phrases that you should be comfortable with. Let’s take a closer look! Probability Experiment When working with probability, we call anything that we can get a result from a probability experiment. You could consider rolling a die, flipping a coin, or randomly choosing a number a probability experiment. Depending on your perspective, you could even call driving to work a probability experiment with the possible results being you arrive on time or you don’t. Outcome A single result of a probability is called an outcome (some books use the word “simple event”). When flipping a coin, the possible results or outcomes are... 
Reading scatterplots
9 Jul 2015  1:55 pmScatterplots are used to understand the relationship or association between two variables. Questions like “When the temperature increases, do gas prices also increase?” or “How are changes in the price of gas related to the number of miles people drive each month?” can be answered by studying the pattern in a scatterplot. Basic Structure Given a scatterplot, the variable on the horizontal axis is the predictor (or independent variable) and the variable on the vertical axis is the response (or dependent variable). Using this terminology, a scatterplot is used to understand how the response responds to changes in the predictor. Each point represents the value of the response for a given value of the... 
Making two way tables
20 Jun 2015  10:35 amTwo way tables, also known as contingency tables, show frequencies (counts) as they relate to two variables. As usual, we will use an example to see how they work! Example Suppose that a company is doing market research on a new product and have selected a random sample of potential customers to help choose the most effective TV commercial. Out of the 180 people in the sample 65 viewed the first version, 30 viewed the second version, and the remainder viewed the third. Of those who viewed the first version, 25 indicated that they were likely to buy the product while the rest said they were either unsure or unlikely to buy the product. For those viewing the second version, 20 said they were likely to buy the... 
Scatterplots on the TI83 or TI84 graphing calculator
19 Jun 2015  4:04 pmScatterplots are used to visualize the relationship or association between two variables. For example, can you say in general that studying more will result in higher grades? We could investigate this by collecting data on how long students studied and perhaps their grade on a final exam and then creating a scatterplot. The overall pattern would help us determine what kind of association time spent studying has with final exam grades. On the TI83 or 84 series of graphing calculators, getting a scatterplot is pretty easy. Let’s use an example data set to walk through the process. Example The table below shows the heights (inches) and weights (pounds) of seven randomly selected players on the Chicago Cubs...



Institute for Mathematics and Computer Science

Demonstrating Understanding in Mathematics
18 Nov 2015  10:00 pmLast week, The Atlantic published an excellent article questioning the trend toward requiring convoluted explanations of mathematical thinking in Common Corealigned math classes. The authors rightly pointed out that verbal explanations are hardly the only way of determining whether a student understands a concept and that many of the brightest mathematical minds are verbally challenged. The theory that if you cannot explain, you do not understand does logically lead to the conclusion that if you understand, you can explain. (IMACS Mathematical Logic students will recognize this as an example of contrapositive inference.) That theory, however, is completely false, yet it continues to drive the misguided... 
Twin Sisters Win 'Google Lunar XPRIZE for Kids'
21 Oct 2015  10:00 pmIMACS students Hadley and Delaney Robertson with their winning robotics project. You might recognize twin sisters Hadley and Delaney Robertson from their cooking show for kids, Twice as Good, that airs on PBS stations across the country. We at IMACS also have the pleasure of knowing them as two intelligent and delightful students who have been attending our Math Enrichment classes since they were in kindergarten. "IMACS has provided Hadley and Delaney with such an amazing mathematical foundation," their father, Johnathan, recently shared with us. And we are beyond thrilled to share that these talented girls were just named grand prize winners in the 2015 MOONBOTS Challenge! The international MOONBOTS... 
IMACS Celebrates Ada Lovelace Day!
12 Oct 2015  10:00 pmIMACS alumna Rachel Cuozzo (MIT), Rachel Gologorsky (Harvard), Sarah Thomas (Stanford) and Shakthi Shrima (Princeton) embody the spirit of Ada Lovelace Day. October 13, 2015 is Ada Lovelace Day, a day to honor the achievements of women in science, technology, engineering and math. IMACS asks that you join us in celebrating this day by encouraging a girl to pursue her interests in the STEM subjects. She may be your daughter, sister, student or friend. She may be enthusiastically expressive about her love for STEM, or she may be the quiet type who will share deep thoughts if you ask. Or she may be especially in need of your encouragement because she’s not yet received that message or, worse yet, has... 
Student Profile: Shuli Jones on Coding and the Classics
16 Sep 2015  10:00 pmeIMACS student Shuli Jones wears a stola, the dress of the Roman matron,as she holds the trophy for winning the Intermediate Pentathlon prizeat this year’s Ontario Student Classics Conference. This week, the IMACS Blog visits with eIMACS student Shuli Jones. Shuli is one of our star students, having excelled in our universitylevel computer science courses since the 6th grade. She recently attained the highest score possible on the AP Computer Science A test exam as a high school freshman. A multitalented young lady with a passion for programming, Shuli is well on her way to a bright future. Please tell our readers a little bit about yourself and what you enjoy doing. My name is Shuli Jones. I’m... 
IMACS Success Spotlight: Shakthi Shrima
9 Sep 2015  10:00 pmCongratulations to IMACS graduate Shakthi Shrima who will attend Princeton this fall. As a homeschooled student, Shakthi could learn computer science anywhere. She chose IMACS. From 10th grade to 12th grade, Shakthi completed IMACS’ Modern Computer Science track, which includes University Computer Science I, University Computer Science II and AP Computer Science: Java Programming. Shakthi directly credits IMACS for her ability to deftly switch between various programming languages. Shakthi’s multiple talents have earned her numerous honors. Original research in Number Theory propelled her and her teammates to the finals of the 2014 Siemens Competition in Math, Science & Technology where they won a...



mathrecreation

friday fractals
19 Nov 2015  8:45 pmSome Friday fractals, again, again. 
more pentagons, decagons, stars and rhombs
22 Oct 2015  7:11 pmKept adding on to one of the pentagon patterns from the previous post...Eventually, ended up with rough decagon shape  how many little decagons in there? Zooming in, there are some nice patterns in there:Yikes! 
out from a ring of pentagons
15 Oct 2015  6:36 pmLooking at the Kepler pentagonal tiling, it seems there is skull staring back, warning me against spending too much time playing around with polygons.But regular pentagons encourage time wasting by how they fail to fit together, forcing fusings and overlaps. For example, finding a way to build out from a central ring of ten pentagons, you might try a ring of ten fused decagons.After another jagged ring of 30 pentagons, you can add another ring made of ten rings of pentagons joined by hexagons (formed from fused pentagons).One more step, and the decagons seem to be drifitng outward  once overlapping, now with stars between them.Or, you could start with a central ring of pentagons surrounded by five stars... 
more polynomial grid division
30 Sep 2015  8:26 pmThe most visited post on this blog describes how to divide polynomials using the grid method, also known as the generic rectangle or reverse tabular method. I realize that people who are looking for instruction in such matters may not be not idlers or casual readers of math blogs  they are likely serious people who are preparing lesson plans, doing homework, or otherwise looking to divide some polynomials. So I thought it would be nice to provide a little more on this topic, and hopefully help out a bit. If you are among these folk, I recommend that you start with the original post, and then read over these additional examples. Also, things will make better sense if you have practiced multiplying... 
two star patterns
18 Sep 2015  8:45 amHere are a couple of star patterns inspired by the examples and explanations given by Craig Kaplan on his Computer Graphics and Geometric Ornamental Design page. Both were done in GSP using rough approximations of the precise methods that Craig describes there.



Maths Tips From Maths Insider

Does Your Child Know Their Basic Math Facts? Read These 4 Essential Tips
20 Nov 2015  6:00 amWatch the video on You Tube here Read the transcript below: 4 Tips to Help Your Child Learn Their Basic Math Facts Hello, my name is Caroline Mukisa from the Maths Insider website and today Iâm going to answer a question from a Maths Insider reader, âHow can I get my child to learn the basic facts?â So Iâm going to first of all talk about how much effort is going to be needed to learn the basic facts and then Iâm going to talk about the order in which to do the facts. Further, Iâm going to talk about location, location, location, give you some good tips on where and when to do that kind of learning. And finally Iâm going to give you a secret tip at the end. Will learning the basic math facts... 
3 Steps to Keeping Your Child Motivated on any Math Program
22 Oct 2015  6:43 amLast week I published the new Maths Insider survey asking readers What is Your No.1 Challenge When it Comes to Guiding Your Child to Math Success? I’ve had lots of great responses already! Thanks to those who have filled the survey. One parent asked the question ” How Can I Keep my Kids Motivated on their Supplementary Math Program?” Click below to find out 3 great ways to help keep your child motivated when they start complaining about their math program, whether it’s Kumon, Tabtor Math, Khan Academy or any one of the myriad of math programs out there: How do you keep your child motivated when they just don’t want to do math? Tell me in the comments below! The post 3 Steps to Keeping Your Child... 
What is Your No. 1 Math Help Challenge ?
16 Oct 2015  4:28 amTell me about your No.1 Math help challenge. I’d love to hear how I can help! It’s been several years since I’ve conducted my lastÂ survey. It’s a shame and it means I haven’t done all I can to best understand and help you. I’m determined, however, to make Maths InsiderÂ the best it can be for you, and it all starts with a brand newÂ survey! All answers are collected anonymously and your response will be a primary factor in shaping the future of what I do, what gets published, what the site looks like and ultimately your experience with Maths Insider. I’m really excited, and I hope you’ll give a few minutes of your time to take this incredibly important audienceÂ survey. I’ve already had some great... 
How Tutoring Can Cure Math Anxiety
1 Oct 2015  3:00 amSome people get anxious when they have to stand up and speak in public, some feel anxiety when they’re in crowded spaces and many feel anxious when they have to do math. As an adult it’s easy to mask math anxiety by avoiding situations where you have to math, but like it or not math is a major part of school curricula worldwide and your child is likely to be doing some kind of math, if not daily, then at least several times a week and often in a class setting where their peers will be in a position to judge their math ability. I’ve worked in math education for over 20 years and am a big advocate of kids doing a little bit of extra math each day or each week to boost their math ability and confidence. So it... 
Animated Math from Pixar Math in a Box
17 Sep 2015  4:50 amA career as an Animator is one of the mathrelated careers in my freebie PDF 21 Seriously Cool Careers that need math. So I was really excited when I heard that the animation superstarsÂ at Pixar had teamed up with the genius math folk at KhanÂ Academy to bring an interactive learning experience called Pixar in a Box, showing how math is used to animate our favorite cartoon characters. Pixar in a box in a box aims to …show you how the concepts you learn in school are used to tackle creative challenges we face during the making of Pixar films.Â Along the way youâll also learn a lot about Pixarâs filmmaking process…. Topics covered...



MathFour

Mathbreakers Special Offer!
25 Nov 2015  3:12 pmAlthough this video is full of written words, I’m claiming this as a Wordless Wednesday post. Get your own copy of Mathbreakers, or a copy for a kid in your life, with the $4 off with coupon code mathFOUR (case sensitive). But be careful – you may get sucked in like I do! 
Under Construction: The New MathFour.com
7 Nov 2015  6:12 amYes, MathFour.com is different this week. And it’s not pretty, I know. But I’m working on it and it’ll soon be awesome. #fingerscrossed Epiphany I attended a threeday seminar last week. With the help of Kerry O’Shea Gorgone, I found strength to make a change. I’ve been thinking that I need to talk to parents. But so many teachers read MathFour that I thought I wasn’t allowed to. But I’m taking my own advice. Eureka So now MathFour is finally becoming what it always wanted to be: an extension of my 1984 mathhelpful self. I’m focusing on other parents like me. The same people I helped in high school and college. I walked them through math classes, calming them along the way. And now I’m here to walk you... 
Thanksgiving Math Craft: Geometric Pilgrim
4 Nov 2015  4:04 amAre you ready for your kids to be home for 5 days straight over Thanksgiving? Try this simple math craft that’s easy and cheap. And itâs even better becauseÂ thereâs math involved. (You’ll totally feel like the good parent!) Supplies <ul> <li>The free downloadable template</li> <li>Construction paper</li> <li>Scissors</li> <li>Glue or glue stick</li> <li>Crayons, sharpies or even some googly eyes</li> </ul> Instructions Use the template shapes to cut out the geometric pieces from construction paper. Iâve suggested black, white, yellow, brown and pink for the cutouts, but your kids can choose what makes them happy. Follow the design on the download to glue the pieces together, or to another piece of construction paper. Draw in the face bits. Now, GO! Use... 
Math and Texas Cartoon: Playful Blissful and Jovial
1 Nov 2015  12:59 pmSundays are for relaxing. Not working (except for laundry). And not cooking. So how about a PB&J – Playful Blissful Joke? I’m trying for something light and enjoyable – PB&J style – every Sunday. So make sure to check back in regularly! Don’t forget to share thisÂ on TwitterÂ andÂ Facebook! 
The Math Show Stars are All the Same
31 Oct 2015  8:57 pmThis is Day 31 ofÂ 31 Days of Math Learning SuccessÂ – THE FINAL DAY! SeeÂ all the days here and check outÂ others that are wrote for 31 days here. I’ve never thought of acting as rocket science – you put on the costume, get your hair cut, and that’s it, really. ~Marc Warren Thereâs only a handful of actors in âmath world.â Depending on the show, they play different parts. For instance, Ignatius P. Identity will play Zero in The Addition Show and One in The Multiplication Show. In The Function Show, IgnatiusÂ plays . And in The Matrix Show, he playsÂ . Depending on the episode, Ivey McInverse may play or . Or even , the soul mate of . Ivey McInverse only plays inverses. Theyâre not Method...



MIND Research Institute Blog

Neuromyth: Do Learning Styles Matter?
24 Nov 2015  9:00 amBy Martin Buschkuehl, Ph.D. & Cathy Tran, Ph.D. True or false: students will learn best when they are taught through their preferred learning style which can be auditory, visual or kinesthetic? If you answered true, you are incorrect but far from alone. This is a widely held myth. In fact, more than 90 percent of teachers surveyed by educator Dr. Sanne Dekker and her colleagues, believed it as well. Why is this misconception so ubiquitous? This was recently a topic of discussion among our team at MIND Research Institute because teachers sometimes ask us how our visuallybased ST Math games account for different learning style preferences. The learning styles myth is certainly appealing. After all,... 
IX (More) Reasons STEM Needs Title IX: Lessons From Women in STEM
19 Nov 2015  8:30 amLast year I wrote a blog about why STEM needs a Title IXlike revolution. In essence, I shared my own empowering experiences as a college athlete to highlight the economic impact Title IX has had for hundreds of thousands of young women, as highlighted by this National Bureau of Economic Statistics study. A lot has happened since then, including awesome experiences and aggravating events, which have made me even more passionate about supporting the Girls in STEM movement. A strategic and collaborative approach to increasing early access and success for girls in STEM can do for women what Title IX accomplished: opening doors for women in fields traditionally dominated by men. My first IX reasons... 
How Roots Elementary Intentionally Designs Each Scholarâs Day
17 Nov 2015  9:00 amBy: Jon Hanover, Principal of Roots Elementary School We all know the traditional school model is woefully outdated. It was designed over 100 years ago, and like the factories and assembly lines of the time, students were bundled up by age group and expected to be assembled in the same way, in the same order and at the same time. The problem with this method is that kids are human beings, not widgets. They have an amazingly diverse array of skills, needs and passions. The school experience should reflect that diversity. So when we set out to create a new school, we wanted to push the envelope in order to meet the personal learning needs of all our students. What would school need to look like for us to... 
Off the Number Line: Precision vs. Accuracy
12 Nov 2015  10:02 amInterviewer: Thatâs cute. Instead of yelling âFore!â heâs yelling âFour point zero!â Is that really increased precision, or is that increased accuracy? Cartoonist: Well, itâs not very accurate because when golfers hit a drive they yell out âfore,â meaning âlook ahead,â not the number four. However, it is very precise. Precision comes from the same root as âincision.â It comes from cutting things up into smaller pieces. Something that is more precise is measured using a smaller unit. For examples, whole numbers of millimeters are more precise than centimeters. So, when we say 4.0 we are indicating that we are being precise down to the tenths. Interviewer: What about... 
Data Teams Embedding ST Math to Strengthen Math Instruction
10 Nov 2015  9:00 amBy: Jodie Bailey, Ph. D., Math Bridge Course Instructor for Grade 5, Hilliard City School District When I first saw ST Math two years ago, I knew it was a powerful tool for instruction that I wanted for our students, teachers, and families. Due to some good fortune, our district has the opportunity to be part of a grant that allows us to provide all K5 students in our schools with access to ST Math. After the initial training, many of our teachers and students were proficient with logging onto ST Math and having individual students interact with JiJi on an independent basis. We wanted to bring JiJi further into the classroom. Provide Teachers a Time and Place to Explore Our building was able to use...



fxsolver.com  Latest entries

Magnification of the telescope and NASA's new Space Telescope
27 Nov 2015  6:16 amRemember the fancy Hubble Space telescope? It was launched into low Earth orbit in 1990, and its 2,4 meter mirror observes the near ultraviolet, visible and near infrared spectra.Its orbit just outside the distortion of earthâs atmosphere, allows it to take extremely highresolution images with negligible background light. It has recorded some of the most detailed detailed visiblelight images ever, allowing a deep view into space and time. Many Hubble observation lead to breakthroughs in astrophysics. Now, NASA is manufacturing its successor, the James Webb Space Telescope (JWST). It is scheduled to launch in 2018, and it will be capable of viewing the very first generation of stars that ignited in the... 
VisViva Equation, and How To Go To Space
25 Nov 2015  10:46 amThere is a video trending these days which is titled “How to go to Space, in Simple Words”. They creators are trying to explain the whole concept of how a person can go to space using only the 1000 most used words in the English Language. It may sounds simplistic and probably great to watch, but it ends up being funny and sometimes confusing! Enjoy the video! So, now you know what you need to get into an UpGoer, which is pushed to space by firewater, you should probably need to read some more fancy words about space. How about “Visviva”. Sounds sophisticated right? Vis Viva is Latin for “Live force” (May the Vis be with you, my young Padawan!) It is also a term from the history of mechanics,... 
A Cooling Laser and Newton's Law of Cooling
21 Nov 2015  4:43 amLasers. We have talked about them two more times in the past. First was the Laser Cutting and the Gaussian beam. Then, the Laser Razor and the Wavelengths of light came by. In both these stories, the "hot, burning and cutting" laser archetype was confirmed. We all have in mind that lasers are for cutting things, burn stuff, destroy entire planets, drive your cat crazy and cut James Bond in half. Some researchers at the University of Washington forgot about all that, thought out of the box and produced the first laser capable of cooling liquids. The technology could be especially useful for slowing down single cells and allow scientists to study biological processes as they happen. Peter Pauzauskie... 
Thermal expansion coefficient and Project Loon
17 Nov 2015  2:42 pmOur last two posts, were about that fascinating Google attempt to provide internet access to our planet's remote areas. Project Loon. First we wanted to find out, what a balloon needs in order to fly, so we added a Hot Air Balloon Lift calculator to fxSolver's database. Then, we wondered how the electronics each balloon carries, will survive the low temperatures of the Stratosphere. We decided that we can use fxSolver to calculate the thermal resistance of the insulation material. Now, we definitely should understand more about the stresses that the circuit board must sustain. Circuit boards which were soldered in room temperature and have to operate in very low temperature conditions. In order to... 
Thermal Conductivity and Project Loon
13 Nov 2015  9:57 amEarlier this week, we talked about Google's project loon, and the brand new Hot air balloon lift calculator fxSolver now has. After discussing the topic with the whole fxSolver team, G. was wondering how Google will protect its Wireless Routers from the low stratospheric temperatures. The payload of the balloon is limited, therefore they cannot just wrap the router up with a log of thermalconductive material! Firstly lets remind that in physics, thermal conductivity is the property of a material to conduct heat. It is evaluated primarily in terms of Fourier's Law for heat conduction. Heat transfer occurs at a lower rate across materials of low thermal conductivity than across materials of high...
