Everyone makes mistakes. But those of the legendary physicist are particularly illuminating  Read more on ScientificAmerican.com
Math

Most Topular Stories

What Einstein Got Wrong
Scientific American  Math20 Aug 2015  7:00 am 
Tenth grade math test
Basic mathematics blog27 Aug 2015  3:38 pmA tenth grade test that can easily be printed. This test is designed to test most important skills taught in tenth grade. 
Ramos: More Middle School Students Scheduled for Higher Level Math  The Village Green
MATH  Google News29 Aug 2015  3:16 pmThe Village GreenRamos: More Middle School Students Scheduled for Higher Level MathThe Village GreenAs part of his first Superintendent's report, Dr. John Ramos said that 74 South Orange Middle School students and 67 Maplewood Middle School students have been scheduled for a higher level math class this year due to “a new initiative” to review the ... 
Forsyth County school system posts highest average ACT score in state
Search for "math OR mathematics"29 Aug 2015  9:58 pmHigh schools in Forsyth County earned a higher combined average ACT composite score than any other school system in Georgia last year. The increase from 23.6 in 2014 to 24.1 in 2015 also represents a higher score than the state and national averages, which were both at 21 for the college entrance assessment. 
Mathematician reveals the mechanism for sustaining biological rhythms
Mathematics News  ScienceDaily28 Aug 2015  7:22 amScientists have predicted how biological circuits generate rhythms and control their robustness, utilizing mathematical modeling based on differential equations and stochastic parameter sampling.

MATH  Google News

Ramos: More Middle School Students Scheduled for Higher Level Math  The Village Green
29 Aug 2015  3:16 pmThe Village GreenRamos: More Middle School Students Scheduled for Higher Level MathThe Village GreenAs part of his first Superintendent's report, Dr. John Ramos said that 74 South Orange Middle School students and 67 Maplewood Middle School students have been scheduled for a higher level math class this year due to “a new initiative” to review the ... 
Khan Academy teams up with Pixar to teach how math makes movies  Geek
29 Aug 2015  8:37 amGeekKhan Academy teams up with Pixar to teach how math makes moviesGeekThese new animation techniques are conceptualized in the art and story departments for a Pixar movie, but after the 2D sketches have been made, it's up to the modelers and 3D animators to bring the actual movie to life, and those tasks require math and more » 
FourDay School Week May Boost Math Scores  PsychCentral.com (blog)
29 Aug 2015  4:30 amLaboratory EquipmentFourDay School Week May Boost Math ScoresPsychCentral.com (blog)Shortening the school week to only four days appears to boost elementary school students' math performance, according to a new study by researchers at Georgia State University and Montana State University. The study evaluated the impact of a fourday ...Fourday school week can boost math performanceChandigarh TribuneFourday school week improves math performanceZee Newsall 29 news articles » 
The Math Behind SaaS Startup Valuation  TechCrunch
28 Aug 2015  4:01 pmTechCrunchThe Math Behind SaaS Startup ValuationTechCrunchOne of the most critical metrics for software companies — but also one of the most difficult to measure — is the lifetime value of their customers (LTV). The lifetime value dictates how a company should spend its marketing and sales dollars 
How parents add to math anxiety  news9.com KWTV
28 Aug 2015  12:53 pmHow parents add to math anxietynews9.com KWTV(HealthDay News)  Parents can spur math anxiety and poor math performance in children, a new study suggests. "We often don't think about how important parents' own attitudes are in determining their children's academic achievement. But our work ...and more »

Search for "math OR mathematics"

Forsyth County school system posts highest average ACT score in state
29 Aug 2015  9:58 pmHigh schools in Forsyth County earned a higher combined average ACT composite score than any other school system in Georgia last year. The increase from 23.6 in 2014 to 24.1 in 2015 also represents a higher score than the state and national averages, which were both at 21 for the college entrance assessment. 
Ramp talk from Day 4 at Lakme Fashion Week Winter Festive 2015
29 Aug 2015  9:46 pmFinally something different! A projection of a church window with stained glass formed the backdrop for accessory designer Nitya Arora's show, Victoria. The models wore black lace outfits and veils, which shocked appropriately as they looked like a nun's habit. 
Middle schools add STEM labs
29 Aug 2015  9:40 pmNashRocky Mount school board member Wendy Wilson, Golden LEAF Representative Marilyn Chism, school board Vice Chairman Franklin Lamm and Southern Nash Middle School Principal Carina Bryant, left to right, participate in a ribboncutting ceremony for the new STEM lab at Southern Nash Middle School. NashRocky Mount school board member Wendy Wilson, Golden LEAF Representative Marilyn Chism, school board Vice Chairman Franklin Lamm and Southern Nash Middle School Principal Carina Bryant, left to right, participate in a ribboncutting ceremony for the new STEM lab at Southern Nash Middle School. 
Baker fought in 101st Airborne's toughest battles
29 Aug 2015  9:39 pmFor retired Col. Harvey Bernice Baker , joining the Army during World War II was a step up from his home life. 
Monday's letters: A cool app for Hillsborough parents
29 Aug 2015  9:31 pmThe Early Learning Coalition of Hillsborough County knows that as a child's first and most important teacher, parents can use every resource they can get their hands on. In June the coalition carved out dollars in its current budget to put ReadyRosie into the hands of every parent and caregiver of children from birth to age 5 in Hillsborough County, for free.

Mathematics News  ScienceDaily

Mathematician reveals the mechanism for sustaining biological rhythms
28 Aug 2015  7:22 amScientists have predicted how biological circuits generate rhythms and control their robustness, utilizing mathematical modeling based on differential equations and stochastic parameter sampling. 
Fourday school week can improve academic performance, study finds
27 Aug 2015  12:44 pmShortening the school week to four days has a positive impact on elementary school students' academic performance in mathematics, according to researchers. 
'Targeted punishments' against countries could tackle climate change
25 Aug 2015  5:59 pmTargeted punishments could provide a path to international climate change cooperation, new research in game theory has found. 
Ecologists roll a century's work on foodwebs into a single model
20 Aug 2015  11:47 amA new model presents a common mathematical structure that underlies the full range of feeding strategies of plants and animals: from familiar parasites, predators, and scavengers to more obscure parasitic castrators and decomposers. Now ecologists can view all foodweb interactions through the same lens using a common language to understand the natural world. 
Mathematics as tough as steel
19 Aug 2015  5:41 amSteel is one of the main building blocks of modern society. This is because of all the metallic materials, steel  which is mainly iron – is the most advantageous to produce from both an economic and environmental point of view. Also, steel is extremely versatile: there are thousands of steels with properties suited to all kinds of applications. For these reasons, steel is used more than all other metals together. Because so much steel is used globally, by learning to make and use steels in a more optimal way, we can help make considerable improvements to the use of the planet’s raw…

Scientific American  Math

Was Einstein the First to Invent E = mc2?
24 Aug 2015  8:00 amThe great physicist was not the first to equate forms of mass to energy, nor did he definitively prove the relationship  Read more on ScientificAmerican.com 
How Einstein Discovered General Relativity amid War, Divorce and Rivalry
24 Aug 2015  6:00 amAlbert Einstein created his most famous theory amid personal strife, political tension and a scientific rivalry that almost cost him the glory of his discovery  Read more on ScientificAmerican.com 
Everything Looks Better in the Hyperbolic Plane
21 Aug 2015  5:30 amMake a yourself or your favorite mathematician into a work of art as a tiling of the hyperbolic plane.  Read more on ScientificAmerican.com 
What Einstein Got Wrong
20 Aug 2015  7:00 amEveryone makes mistakes. But those of the legendary physicist are particularly illuminating  Read more on ScientificAmerican.com 
Book Review: Spurious Correlations
7 Aug 2015  7:00 amRecommendations from Scientific American  Read more on ScientificAmerican.com

NYT > Mathematics

Math Anxiety? A Reporter Knows the Subject All Too Well
24 Aug 2015  9:00 pmThe reporter Jan Hoffman writes about the personal story behind her article about wellintentioned parents who transmit math anxiety to their children. 
The Singular Mind of Terry Tao
25 Jul 2015  9:00 pmA prodigy grows up to become one of the greatest mathematicians in the world. 
The Short Stories We Tell Ourselves About Everyday Spending
28 Jun 2015  9:00 pmPeople love to blur the numbers, even with everyday subjects like credit card spending. 
Meet the New Common Core
15 Jun 2015  9:00 pmBut don’t get too excited. It’s the same as the old one. 
‘How to Bake Pi,’ by Eugenia Cheng
13 Jun 2015  9:00 pmRecipes for tapping the logic and beauty of mathematics.

Loren on the Art of MATLAB

Finding the Closest Value Less than a Threshold
21 Aug 2015  5:41 amI just got asked a question about a good way to find the closest value in a vector that was less than a threshold. My solution is fairly short, and demonstrates some of my favorite MATLAB techniques. I will compare also show you an "obvious" solution.ContentsSet upSolution via loopingSolution using logical indexingLet's make sure both solutions matchWhich solution do you prefer?Set upFirst let's set up the data for our problem.thresh = 75; nvals = 10^6; data = 100*rand(1,nvals); Solution via loopingWe could solve this by brute force, just looping over the values. Let's try that. I'm going to… 
Artificial Neural Networks for Beginners
4 Aug 2015  12:41 pmDeep Learning is a very hot topic these days especially in computer vision applications and you probably see it in the news and get curious. Now the question is, how do you get started with it? Today's guest blogger, Toshi Takeuchi, gives us a quick tutorial on artificial neural networks as a starting point for your study of deep learning.ContentsMNIST DatasetData PreparationUsing the Neural Network Toolbox GUI AppVisualizing the Learned WeightsComputing the Categorization AccuracyNetwork ArchitectureThe Next Step  an Autoencoder ExampleSudoku Solver: a Realtime Processing ExampleSubmitting… 
Incremental Delaunay Construction
15 Jul 2015  11:47 amI'm happy to welcome back Damian Sheehy as guest blogger. Last time Damian wrote about how Natural Neighbor interpolation addresses FAQs in scattered data interpolation. In this blog he will answer a FAQ on adaptively editing a Delaunay triangulation.ContentsIs delaunayTriangulation More Efficient than delaunay?When is Incremental Delaunay Important?Performance Example of Incremental Delaunay ConstructionYour Need for Geometric Tools?Is delaunayTriangulation More Efficient than delaunay?A technical support question that occasionally crops up asks about the best and most efficient way to… 
Natural Neighbor – A Superb Interpolation Method
1 Jul 2015  11:46 amI'm happy to welcome Damian Sheehy as this week's guest blogger. Damian works on the development of geometryrelated features at MathWorks. He will provide answers to two frequently asked questions; one on scattered data interpolation that he will cover in this blog and the other on Delaunay triangulation that he will cover in the next. Over to you, Damian...ContentsAn Email from Customer SupportWhy griddata or scatteredInterpolant May Be InconsistentExample of Inconsistent Behavior in Linear InterpolationWhy Natural Neighbor Interpolation is SuperiorYou Tell Me!An Email from Customer… 
How Do You Modify the Background of an Image?
24 Jun 2015  8:36 amToday I'd like to introduce guest blogger Brett Shoelson. Some of you may know Brett through his File Exchange submissions, or through his involvement with the Pick of the Week blog, or from occasional guest posts on Steve’s blog on image processing.Contents"The visa problem"The original photoFirst question: how do we isolate the background?Is the effort of automation justified?Improving the maskModifying the backgroundTwo problems remain...Planewise manipulationsFixing the interfaceA final note"The visa problem"Loren recently told me she had a pending international trip that requires a…

Homeschool Math Blog

Feel the Music  Way to be free!
18 Aug 2015  12:55 pm 
Math Mammoth August Sale  get 25% off of ALL downloads and CDs!
10 Aug 2015  11:09 amGet 25% off of all Math Mammoth & Make It Real Learning products sold at Kagi (downloads and CDs). The offer is valid till August 24, 2015. Use coupon code AUGUSTSALE at Kagi store, on the 2nd page of the order process. You will find links to Kagi's order pages at MathMammoth.com on the various product pages.Or, if you are ready to order, you can use these direct links to the order pages: Order Light Blue seriesOrder the South African version of the Light Blue seriesOrder Blue seriesOrder Spanish versions of the Blue series booksOrder Golden and Green SeriesOrder Make It Real Learning… 
Math Mammoth printed books sale!
4 Aug 2015  4:43 pmRainbow Resource is running a 20% off sale on Math Mammoth printed books & CDs! The sale lasts till August 22. Check it out here! And... did you know? Nowadays, they offer both fullcolor versions and blackand white versions of my books. :) 
Giveaway at Hip Homeschool Moms
3 Aug 2015  3:42 amThe Hip Homeschool Moms is hosting a week of giveaways for a bunch of products, including Math Mammoth. The giveaway for Math Mammoth products (plus other products) runs from Monday, August 3, till Thursday, August 6, 2015. I'm giving away: 1 of Math Mammoth All Inclusive Bundle CD2 of Math Mammoth Light Blue Series Grades 17 CD5 of one grade level of Math Mammoth Complete Curriculum (each winner chooses the grade level they want)Just click this link to join in the fun!Also, if you have a little bit of time to spare, I'd like to ask you to write a review of Math Mammoth for their product… 
Math video for kids: Adding three numbers
8 Jul 2015  1:23 pmLet your little ones have fun learning how to add three numbers with this new video of mine, which also features Mathy the Mammoth as my mascot. :)The video is intended for first grade.

Let's Play Math!

Playful Math Snacks for August: Logic Puzzles
27 Aug 2015  5:05 amThe August “Let’s Play Math” newsletter went out last week to everyone who signed up for Tabletop Academy Press math updates. This month’s issue focuses on logic puzzles for all ages, including a newlydiscovered deleted scene from Harry Potter and the Sorcerer’s Stone. What fun! If you missed this month’s edition, no worries—here are some great puzzles from the Let’s Play Math blog archive: Logic: The Centauri Challenge Raymond Smullyan Excerpts at Dover Publications Sample The Moscow Puzzles Logic Puzzle: Imbalance Problems Puzzle: Logic… 
New Hundred Chart Game: OddEvenPrime Race
25 Aug 2015  5:13 am[Photo by geishaboy500 (CC BY 2.0).] Counting all the fractional variations, my massive blog post 30+ Things to Do with a Hundred Chart now offers nearly forty ideas for playing around with numbers from preschool to prealgebra. Here is the newest entry, a variation on #10, the “Race to 100” game: (11.5) Play “OddEvenPrime Race.″ Roll two dice. If your token is starting on an odd number, move that many spaces forward. From an even number (except 2), move backward — but never lower than the first square. If you are starting on a prime number (including 2),… 
Math Teachers at Play #89 via Mrs. E Teaches Math
24 Aug 2015  4:59 amFrom elementary addition to polar coordinates in high school — and all sorts of games, activities, and investigations in between — there’s plenty of fun to be had at this month’s math education carnival. Mrs. E has collected more than twenty great blog posts for us to enjoy: Math Teachers at Play 89 at Mrs. E Teaches Math Welcome to the 89th edition of Math Teachers at Play (MTaP) Blog Carnival! MTaP is a monthly blog carnival with a collection of tips, games, and activities for teachers of students of all ages … Click here to read the whole post at Mrs. E… 
World Maths Day 2015
21 Aug 2015  12:52 pmIf Your Kids Enjoy Competition The world’s largest and most popular online education competition is returning in October 2015. For more details visit http://worldeducationgames.com. We did this one year, but my daughter has never liked any math with time pressure, and these games were all about racing to get as many answers as you could in a short amount of time. Fun for kids who thrive on that sort of thing. Claim your two free learning guide booklets, and be one of the first to hear about new books, revisions, and sales or other promotions. 
Do You Blog About Math?
17 Aug 2015  5:20 amby Mike Licht, NotionsCapital.com It’s carnival time again. Activities, games, lessons, handson fun — if you’ve written a blog post about math, we’d love to have you join our Math Teachers at Play (MTaP) math education blog carnival. Posts must be relevant to students or teachers of schoollevel mathematics (that is, anything from preschool up through firstyear calculus). Old posts are welcome, as long as they haven’t been published in past editions of this carnival. Click here to submit your blog post. Don’t procrastinate: The deadline for entries is this…

Basic mathematics blog

Tenth grade math test
27 Aug 2015  3:38 pmA tenth grade test that can easily be printed. This test is designed to test most important skills taught in tenth grade. 
Vertical Angles Theorem
24 Aug 2015  5:23 pmWhat is vertical angles theorem? Explanations and proof on this site 
10th grade math test
22 Aug 2015  3:50 pmA comprehensive 10th grade math test that is readily avalaible to print for free. The test will measure every important skill taught in commom core geometry 
Pascal's Triangle
11 Aug 2015  7:52 amWhat is pascal's triangle? See the pattern easily with a calculator 
Online Age Calculator
3 Aug 2015  6:23 amAn online age calculator to find your age to the nearest second

ChapterZero

Spark for Linear Algebra: don’t
28 Aug 2015  11:02 amHere are some pretty pictures of empirical orthogonal functions (principal components in climatology jargon) calculated for the 3D field of ocean temperatures using data collected over 32 years, generated by computing a rank 20 PCA of a 2 Tb matrix. surface temperature portion of first EOF surface temperature portion of second eof surface temperature portion of third eof mean sea surface temperature first two years of first temporal eof first two years of second temporal eof first two years of third temporal eof I’ve been doing a lot of programming recently, implementing truncated SVDs… 
Installing Spark with Hadoop 2 using sparkec2
1 Jul 2015  10:28 amYARN does not seem to be configured correctly when you use the sparkec2 script to install a Spark cluster on EC2. Here’s my short workaround for getting YARN to work (with a simple python script at the bottom): launch a cluster with e.g. sparkec2 k <keyname> i <keyfile> s instancetype=<type> placementgroup=<placementgroupname> hadoopmajorversion=2 copyawscredentials launch <clustername> This automatically copies your AWS access keys into the coresite.xml configuration file for Hadoop so you can pull data from S3 into hdfs. Unfortunately,… 
My thoughts on the confederate flag
22 Jun 2015  1:42 pmThe Confederate flag is literally a symbol of treason. Not only that, but the most treasonous act in the entire history of the United States. Anyone who buys into the ‘States Rights’ explanation for the Secession either doesn’t understand what rights we’re talking about, or doesn’t care: the right to slavery. Elide motivations all you want, the southern states withdrew because with the entry of the western states to the union and the North blocking the expansion of slavery into the west, they felt their way of life and economic foundations being threatened. 
A quick thought on Supernatural and some other tv shows
24 May 2015  10:51 pmJust finished season 9 of Supernatural. You’ve got to give that show credit for being one of the few that *demands* a deus ex machina ending. Anything less, after all this fighting over who’s going to take God’s place and Castiel’s moments of mysterious grace, would be a let down. I can’t wait to see what season 10 has to offer. While we’re on the topic of shows that appropriate Christian mythology for their own ends, I want to say that Messengers is crap. We’re supposed to believe that God turned some humans into angels and sent the Devil to earth to… 
Marco Polo: I approve, so far
14 May 2015  11:01 pmI finally got around to watching Marco Polo. This is perhaps surprising news, as anyone who knows me could guess this would be right up my alley: almost superhuman martial arts (at least in the promo material), an eastern setting, and a clash of nations … I’m on episode three, and I’m suprised to say that I’m not at all disappointed! I’m enjoying seeing the tensions building within his empire as Kublai Khan tries to preserve the Mongolian spirit of his empire while incorporating the disparate cultures and religions of his client states. In particular, Khan wants…

Computational Complexity

PACM
27 Aug 2015  5:01 amI serve on the conference committee of the ACM publications board and we've had extensive discussions on the question of the role of journals in publication venues. A number of CS conferences, though notably not in TCS, are moving to a hybrid publication model where their conference presentations make their way into refereed journal papers. One of our proposals is the creating of a specific venue for these activities, a new Proceedings of the ACM. In the September CACM, Joseph Konstan and Jack Davidson lay out this proposal, with pros and cons by Kathryn… 
Interesting properties of the number 24 on someone's 24th wedding anniversary
23 Aug 2015  7:38 pmThe story you are about to read is true. Only the names have been changed to protect the innocent. The Alice and Bob below are not the crypto Alice and Bob.  BOB (to ALICE): Its our 24th anniversary! Last year when it was our 23rd anniversary we celebrated by having you tell me that 23 was the ONLY number that required 9 cubes so sum to it, and that its open how many cubes you need for large n, though its between 4 and 7. Oh that was fun! What do you have planned for our 24th anniversary! ALICE (to BOB): I've prepared FIVE facts about 24! 
Crowdsourcing the Truth
20 Aug 2015  5:18 amA new project Augur aims to create a decentralized prediction market. If this post so moves you, Augur is in the midst of a reputation sale. Don't miss out if you would like to be an Augur reporter. A prediction market takes a future event, such as Hillary Clinton winning the 2016 Presidential Election, and creates a security that pays off $100 if Hillary wins and $0 otherwise. The market allow buying, selling and short selling the security and the price of the security represents that probability the event will happen. Predictwise, which aggregates prediction markets, has the… 
Have we made Progress on P vs NP?
16 Aug 2015  7:39 pmWhile teaching P vs NP in my class Elementary Theory of Computation (Finite Automata, CFG's, PNP, Decundecid) I was asked What progress has been made on P vs NP? I have heard respectable theorists answer this question in several ways: 1) There has been no progress whatsoever but the problem is only 40 years old, a drop in the mathematical bucket sort. 2) There has been no progress whatsoever this is terrible since 40 years of 20th and 21st century mathematics is a lot and we already had so much to draw on. We are for the long haul. 3) We have made progress on showing some… 
What is Theoretical Computer Science?
13 Aug 2015  5:45 amMoshe Vardi asks a provocative question in Windows on Theory and CACM: "Why doesn't ACM have a SIG for Theoretical Computer Science?" The reaction of myself and many of my fellow Americans is the question has a false premise. SIGACT, the ACM special interest group for algorithms and computation theory, plays this role as stated in its mission: SIGACT is an international organization that fosters and promotes the discovery and dissemination of high quality research in theoretical computer science (TCS), the formal analysis of efficient computation and computational…

Mathematics and Computation

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… 
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 $\leftrightarrow$, while in HoTT it is the hpropostions). Call a truth value $p : \Omega$ 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… 
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 taking place in Tallinn, Estonia – 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: The troublesome reflection rule (TYPES 2015) [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). Full tuition & stipend will be provided. The candidate should have a… 
A HoTT PhD position in Ljubljana
22 Nov 2014  4:16 amI am looking for a PhD student in mathematics. Full tuition & stipend will be provided for a period of three years, which is also the official length of the programme. The topic of research is somewhat flexible and varies from constructive models of homotopy type theory to development of a programming language for a proof assistant based on dependent type theory, see the short summary of the Effmath project for a more detailed description. The candidate should have as many of the following desiderata as possible, and at the very least a master’s degree (or an equivalent one): a…

The Math Less Traveled

The birthday candle problem: solution
25 Aug 2015  12:45 pmRecall the birthday candle problem I wrote about in a previous post: A birthday cake has lit candles. At each step you pick a number uniformly at random and blow out candles. If any candles remain lit, the process repeats (using a new value of ). As a function of , what is the expected number of rounds needed to blow out all the candles? Two commenters came up with the right answer; congratulations! Here’s my solution. Since it’s more fun this way, I’m going to explain not just the solution itself but also the process I went through in finding it. First, let denote the expected number… 
Cosmic Call at The Universe of Discourse
19 Aug 2015  6:29 pmI’ve really been enjoying a series of posts by Mark Dominus on his blog, The Universe of Discourse. The Cosmic Call was a series of radio messages sent in 1999 and 2003 aimed at various nearby stars (in case there are any intelligent aliens there to receive the message). It is fascinating to consider the question: how do you communicate with other intelligent beings who may be very different from us? The messages were encoded as simple bitmap images and tried to build up from very simple arithmetic to more complicated things. Mark has already covered the first five parts of the… 
The birthday candle problem
7 Aug 2015  11:51 amAfter a 1.5month epic journey1, I am finally settling into my new position at Hendrix College. Here’s a fun problem I just heard from my new colleage Mark Goadrich: A birthday cake has lit candles. At each step you pick a number uniformly at random and blow out candles. If any candles remain lit, the process repeats (using a new value of ). As a function of , what is the expected number of rounds needed to blow out all the candles? For example, suppose the cake starts out with 14 lit candles. You roll a fair 14sided die2 to choose a number between 1 and 14. Suppose you roll a 6. You then… 
Mystery curve, animated
5 Jun 2015  10:55 amAs a followon to my previous post, here’s an animation (17MB) showing how the “mystery curve” arises as a sum of circular motions: Recall that the equation for the curve is . The big blue circle corresponds to the term—it is a circle of radius and makes one complete revolution before the animation restarts. The medium orange circle corresponds to : it has a radius of and rotates times as fast as the blue circle. The small green circle corresponds to . It rotates times as fast as the blue circle, but in the opposite direction. It has a radius of , and starts out rotation out of phase… 
Random cyclic curves
4 Jun 2015  11:29 amPrinceton Press just sent me a review copy of a new book by Frank Farris called Creating Symmetry: The Artful Mathematics of Wallpaper Patterns. It looks amazing and I’m super excited to read it. Apparently John Cook has been reading it as well, and posted some Python code for generating this curve, which shows up towards the beginning of the book: Mike Croucher also posted an interactive version using Jupyter notebook, where you can play with sliders to control the parameters of the curve and watch it evolve. This is a plot of the parametric equation in the complex plane. In general,…

eon

Prime (Car) Number
27 Aug 2015  5:40 pmIt has always been a regret of epsilon proportion that my car license plate number doesn’t have particular significance. For example it is is divisible by 7 and hence not a prime, unlike the fact that my apartment number and my level number are both primes. In fact, both are one of half some twin prime pairs. My block number is perfect. Well, I will be getting a new car soon and when asked whether I wished to retain the current license plate number, the voice within me shouted no! (It also saves me a hundred bucks from the processing fees.) Mathematica tells me there are 1229 primes… 
Fermat
18 Aug 2015  1:29 amwas born on 17th August 1601. Incidentally [tex] 1601 = 1^2 + 40^2[/tex] is a prime. 
baby rudin
19 Jun 2015  11:15 amDefine a real valued function on the reals by [tex] f(x):=\begin{cases} 0, & x \not\in \mathbb{Q} \\ \frac{1}{q}, & x = \frac{p}{q}, \gcd(p,q)=1, q >0 \end{cases}[/tex]. Where is this function continuous? The problem appeared in Hyman Bass’s article in the June 2015 issue of the notices of AMS. I casually dismissed it as another standard problem, having “seen it somewhere before” but it caught the eye of one colleague and another colleague, an analyst, said it was nonroutine. Given the interest, I thought about where I could have seen it and my first instinct was… 
two thousand years of combinatorics
19 Jun 2015  10:29 amby Don Knuth is the opening chapter to Combinatorics:Ancient & Modern, which according to its preface is perhaps the first booklength survey of the history of combinatorics. Knuth’s chapter is actually taken from his Art of Computer Programming Volume 4 and contains the following two snippets. John Wallis was credited for explicitly considering the null case of combinations. This quote is from his Discourse of Combinations (1685): It is manifest, that if we would take none, that is, if we would leave all; there can be but one case thereof, what ever be the number of things… 
An identity
28 Mar 2015  8:54 pmThe following problem is apparently a bonus question for 13 year olds at a local girls school: Evaluate the sum [tex] \displaystyle \frac{1\frac{1}{2}+\frac{1}{3}\frac{1}{4} + \cdots + \frac{1}{99} – \frac{1}{100}}{\frac{1}{1+101}+ \frac{1}{2+102} + \cdots + \frac{1}{50+150}}. [/tex] It’s not that easy if you ask me. I had to work out the following identity first before I managed to solve it. [tex]\displaystyle \sum_{k=1}^N \frac{1}{2k1} – \frac{1}{2k} = \sum_{k=1}^N \frac{1}{k+N}. [/tex] The identity can be proved via induction.

WordPress Tag: Mathematics

Consumer Reports Rates Tesla Car 103 Out Of 100
29 Aug 2015  5:37 pmTime reports that Consumer Reports has given the new Tesla Model S P85D a rating of 103 out of 100. 
Rewards
29 Aug 2015  12:26 pmRewards During the summer, I have once again ordered my usual array of new season rewards. With a surname like Thomas , Featuring Thomasmy rewards often have a certain tank engine pictured or since #grafdad has collected all the #mathsbadges. My most recent cards feature a certain giraffe, resplendent in his badges. This morning, my most recent reward cards and some more magnets arrived – always my favourite reward, Featuring GrafdadI’m proud of youEvery year I order lots. They never lose their magic! I am a huge fan of stickers and stampers , using such sites as… 
EPR Paradox  Part 1
29 Aug 2015  9:38 amEinstein’s Aesthetic Palette When I read about Albert Einstein and his ideas, I get the distin 
Focus is Key
29 Aug 2015  8:40 amI have resolved to work on blogging once a week, because I need it, and hopefully it will help me to reprioritize in a meaningful way. If it helps someone else, all the better. This week felt very chaotic. I’m finding that having Mondays as our meeting days can make a week feel that way, because there is stuff coming in that you feel needs to be addressed, and yet, paying attention in meetings is important. It’s also a good way to make sure everyone is on the same page at the start of the week. I think I’ll be able to reconcile that as I get used to it, I just wanted to… 
Who Wants To Be An Intern?
29 Aug 2015  7:34 amThe following comes from an email that I just received from Mitacs. For students interested in a sum

MathNotations

Common Core Desmos Activity for Algebra 2 and beyond
26 Aug 2015  12:41 pmClick on graph to see the activity!Set viewing window: 5<=x<=5Also, it's better to manually animate the tangent lines by dragging the point or the slider!Just a simple demo of the power of Desmos to build interactive Investigations for our math students.My primary goal is to model the critical balance between technology and concept development. While students can freely explore the graphs, they are also guided with carefully crafted questions. Feel free to use it and modify as needed.This activity can be improved upon with Desmos' New Activity Builder! As I learn it, I'll share more of… 
Balanced Learning is not Blended or Flipped
30 Jul 2015  4:53 pmHaven't been up to one my passionate rants in a long time so buckle up...Technology has enabled educators to reimagine the traditional classroom, how students learn and how we facilitate this process, aka teach. Incredible new opportunities to empower students to take more control over their own learning in a "spacetime continuum" sort of way. Not to mention providing powerful tools to analyze data to individualize and maximize learning. Are there any buzzwords I omitted!BUT...We have strayed from NCTM'S central message from over 25 years ago: ***BALANCING*** PROCEDURAL LEARNING and… 
Modeling  What Algebra Looks Like on the New SAT/PSAT and the Common Core
28 Jul 2015  6:20 pmOn twitter.com/dmarain...A bear population, P(t), after t yrs, is modeled by P(t)=Mk(t20)², 0≤t≤20. Initial population:356 Max pop'n:500 Estimated population after 10 yrs? Answer: 464COREFLECTIONSIs this the "new" algebra? Students given a function with PARAMETERS which "models" real world data? Questions like this have appeared on SATs for a few years now and, based on the sample new SAT/PSATs released by the College Board, they will become even more common. Students will be asked to analyze the function and use it in application. The Common Core also emphasizes algebra models … 
37 not 42 the Answer to The Meaning of Life? A Common Core Investigation
25 Jul 2015  3:31 amFrom twitter.com/dmarain...A Middle School Common Core InvestigationIs 37 an "interesting" #?37x4=148; 41="3",81="7" 37x13=481 37x22=81437x5=185; 85="3",81="7" 37x14=518 37x23=851How far can you extend the pattern?And is 37 patriotic (apologies to AK&HI)??37x48=1776And my favorite ...1/37=0.027027... 1/27=0.037037...Is it all because 37x3=111?First we engage, then illuminate...VISIT ME DAILY ON TWITTER AT twitter.com/dmarain 
Parabolas, NEW PSAT/SAT and the Common Core
20 Jul 2015  10:11 amAs posted on twitter.com/dmarain... SHOW: The line with slope 1 intersecting y=(xh)²+k at its vertex also intersects at (h1,k1). COREFLECTIONS How would you modify this to make a gridin or multiple choice question? A question similar to this appears on the published practice NEW PSAT. It is one of the last 34 questions on the gridin with calculator section and was rated "medium" difficulty. I would rate it as more difficult! I recently tweeted the link for this practice test but easy to find on the College Board website. Do the parameters h,k discourage use of graphing…

Institute for Mathematics and Computer Science

IMACS Success Spotlight:Sarah Thomas
26 Aug 2015  10:00 pmCongratulations to IMACS graduate Sarah Thomas who will attend Stanford this fall. Sarah wanted to form a deep conceptual understanding of the algorithms and logic used in computer science. She started IMACS in the ninth grade and went on to complete IMACS’ University Computer Science sequence. Graduating as covaledictorian of her high school class with a score of 1570 out of 1600 on the SAT, Sarah was also a National Merit Scholar Finalist, a National AP Scholar and winner of multiple awards in math, science and language arts. Sarah credits IMACS with her exposure to functional… 
IMACS Success Spotlight:Rachel Gologorsky
19 Aug 2015  10:00 pmCongratulations to IMACS graduate Rachel Gologorsky who will attend Harvard this fall. Rachel began attending IMACS as a first grader. Homeschooled since third grade, she has always made time for IMACS in a busy schedule that revolved around competitive chess. While rising to the rank of #1 player in the US and #15 player in the world among girls under 14 and later attaining the title of Woman FIDE Master at just 16 years old, Rachel completed IMACS’ Advanced Math Enrichment and universitylevel courses in Computer Science and Logic for Mathematics. As a high school student, Rachel… 
IMACS Expands to New Locations in Delray Beach and Pembroke Pines!
24 Jul 2015  6:30 amWhen it comes to providing their children with the lifelong benefits of genuine learning, South Florida parents know where to go — IMACS! For over 20 years, the Institute for Mathematics and Computer Science has been giving students an outlet for reaching their highest potential in math, computer science and logical reasoning. IMACS teaches its unique classes afterschool at its own centers as well as at many of the top private schools in the tricounty area, including Pine Crest, American Heritage and University School. To meet the growing demand for its classes, IMACS is expanding to… 
IMACS Wishes You aHappy Independence Day!
2 Jul 2015  6:06 amThe IMACS Blog is taking a short summer hiatus and will return next month. Have a safe and happy 4th of July! Looking for an incredibly fun summer experience that exercises the mind? Check out IMACS’ HiTech Summer Camp! Like IMACS on Facebook for the latest information about our local classes and online courses. 
Slowing Down to Get Ahead in Math
3 Jun 2015  10:00 pm"The classrooms that produce high achieving students are those in which students work on deep, rich mathematics through tasks that they can take to any level they want. No one is told what level they can reach and no one is held back by narrow questions that limit studentsâ€™ mathematical development and creativity." —Jo Boaler, Professor of Mathematics Education, Stanford The above quote comes from a recent article by Stanford professor Jo Boaler. Professor Boaler, through her Youcubed organization, advocates for valuing depth and creative problemsolving over…

mathrecreation

simple fun with R
25 Aug 2015  2:45 pmI'm in the process of learning about the programming language R, and thought a nice way to get started would be to play with a few simple examples of things I've previously posted about. You can take any of these examples and try them out yourself by copying the code right into an inbrowser R environment like Rfiddle.The two baby R examples here make use of some of the built in math functions in R (sin, cos, and sqrt), and illustrate the vectorbased approach that R takes. In R, instead of iterating using a while or for loop and applying functions to individual values, many functions… 
regular polygons, in rings
20 Jul 2015  9:01 pmLooking at the Kepler pentagonal tiling, you may notice the nice looking rings of pentagons around the decagons.You can also make up other tilings with these rings of pentagons  to get the one below to work you have to sneak in some dented or overlapping pentagons.But which regular ngons can form rings like this? You obviously can't do it with a square.And some regular ngons, like heptagons, nonagons, decagons, and hendecagons (11gons) don't work either.All the angles of the regular ngon are (n2)pi/n  so the angles of the polygon in the center would have to be 4pi/n, but for that… 
regular polygons, intersecting regularly
3 Jul 2015  11:54 amLooking through the chapter on the number 5 in the really engaging book Single Digits: In Praise of Small Numbers, by Marc Chamberland, I came across an image and description of Kepler's pentagonal tiling, which looks like this:Kepler Pentagonal TilingThis tiling is made of pentagons, pentagrams, decagons, and fused decagons. Both the decagons and the fused decagons can be made from combinations of regular pentagons and dented pentagons (by dented, I mean in the way described here), so this tiling could also be made with pentagons, dented pentagons, and pentagrams.Decagons and fused… 
regular polygons, dented and sliced
12 Jun 2015  8:13 pmA while ago, l noticed that sliced up octagons made nice tiles.In particular, octagons that are split in a particular way into a dented octagon and a rhombus are pretty neat. These rhombuses are formed from so that they share with the octagon two adjacent sides of the octagon. The dented octagon is formed by slicing off the rhombus. Four of those dented octagons can be put around a vertex to form a pinwheel pattern, and four of the rhombs can be added to that pinwheel to make a bigger octagon.You can do this sort of rhombic slicing with any regular polygon with more than 4 sides (you could… 
octo rhomb
30 May 2015  1:28 pmRegular octagons cannot be used to tile by themselves  if you try, you will find there are square gaps that need to be filled.If you slice a rhombus off your octagon, you'll end up with two tiles  a rhombus and a dented octagon.Each of these shapes can be used to tile by themselves, or tile together. The rhombbyitself tiling is easy to visualize (imagine a squashed grid), here is the dentedoctagon tiling:Now, here's something else: you can take four of these rhombically challenged octagons to make a bigger octagon:You get a nice tree shape if you remove two rhombs from the original…

Maths Tips From Maths Insider

5 More Fascinating Science and Math Podcasts
6 Aug 2015  3:38 amI highlighted how cool math podcasts are in my post here on Maths Insider, Listen Up! 8 Fascinating Podcasts to Spark a Love of Math in Your Teen. I still listen to podcasts in my car but recently Mr Maths Insider bought me a waterproof bluetooth speaker which I use to listen to podcasts in the shower (too much info??). Since then, I’ve discovered more cool science and math podcasts which I share below. Some are great for young kids and some will inspire teen mathematicians. Check the descriptions below. You can also click on each of my favorite episodes right here in the post! 1. 
Does Your Daughter Lack Math Confidence? She’s Not the Only One.
31 Jul 2015  5:09 amA recent study by the OECD (Organisation for Economic Cooperation and Development) has highlighted the problem of girls’ lack of math confidence. From the report: Girls “lack selfconfidence” in their ability to solve mathematics and science problems and achieve worse results than they otherwise would, despite outperforming boys overall Girls do worse at math and sciences than boys, even though they do better in other subjects. This gender gap occurs in the majority of countries who took part in the PISA (Programme for International Student Assessment) tests, but the gap in the… 
How Can I Help You Help Your Child With Math?
23 Jul 2015  2:13 amIt’s been over 2 years since I blogged here on Maths Insider! So the first thing I’ll say is I’m sorry! I’ve still been connecting with Maths Insider readers through my Maths Insider Facebook page but have neglected those of you who have been coming over here for advice on helping your child with math. So what has Maths Insider been up to for the past 2 years? 1) Working with Tabtor Math For the past 2 years,I’ve been Tabtor’s instructor for International students looking after families everywhere from the UK to Europe to Asia and lots and lots of… 
How to Solve a Physics Problem (FUNNY!) plus Mental Math Tips
4 Apr 2014  8:14 amI saw this cool comic strip below, by the funny folks at Saturday Morning Breakfast Cereal (SMBC), a few weeks ago on Facebook , and spent a good few minutes crylaughing (is that a thing?) Even my daughter in the midst of wrangling with quadratic equations in preparation for a math test, joined in. You see, even for seasoned math teachers, math lovers and professional scientists and mathematicians, arithmetical errors are all too common when problem solving. As part of my role as Instructor for International Students at Tabtor Math, I was given 5 math worksheets at Grade 5 and 6… 
Check out These Challenging Online Math Tools for Gifted Kids
3 Dec 2013  1:28 amThis is a guest post by Joseph Rodriguez While many educators agree that it is essential to improve the quality of math education in our public schools, a debate persists about how it should be done. Do we work with the students who are struggling, so that they can do better? Or do we push the students who are excelling, so they can move on to even greater things? Budgets are tight and many schools are pushed to decide one path or the other. Fortunately, many online resources can challenge gifted math students with new coursework and an outlet for their ingenuity. Here’s what you…

MathBlog

Regular Expressions for Numbers in BASH
17 Aug 2015  5:00 amIntroduction This is a short post on how to recognize numbers such as simple integers, real numbers and special codes such as zip codes and credit card numbers and also extract these number from unstructured text in the popular bash (Bourne Again Shell) shell or scripting language. Bash is the default Unix console or terminal window on Macintosh computers as well as a number of other Apple products. It is also used by cygwin and several other variants of Unix and Linux. Regular expressions are a compact efficient way of representing patterns of characters including the letters in the English… 
The Atomic Age That Wasn’t
10 Aug 2015  5:00 am“It is not too much to expect that our children will enjoy in their homes electrical energy too cheap to meter, will know of great periodic regional famines in the world only as matters of history, will travel effortlessly over the seas and under them and through the air with a minimum of danger and at great speeds, and will experience a lifespan far longer than ours as disease yields and man comes to understand what causes him to age.” Lewis L. Strauss, Chairman of the Atomic Energy Commission (AEC) Speech to the National Association of Science Writers, New York City September 16th,… 
The Corinthian Colleges Scandal, STEM Shortage Claims, and Minorities
12 Jun 2015  6:00 amThe United States Department of Education made headlines Monday (June 8, 2015) announcing that it would forgive the federal student loans for former students of Corinthian Colleges Inc., the nowdefunct forprofit postsecondary education company that operated the Everest, Heald College, and WyoTech chains of colleges. According to news reports, the total bill could reach $3.5 billion if all federal loans to Corinthian students are forgiven. The Department of Education had fined Corinthian’s Heald College, which operates mostly in California, $30 million in April for allegedly providing… 
Review of Statistics Done Wrong: The Woefully Complete Guide
4 May 2015  6:00 amStatistics Done Wrong: The Woefully Complete Guide by Alex Reinhart Paperback: 176 pages Publisher: No Starch Press; 1 edition (March 16, 2015) Language: English ISBN10: 1593276206 ISBN13: 9781593276201 Product Dimensions: 8.1 x 5.9 x 0.5 inches My Rating: 3/5 Introduction Statistics Done Wrong: The Woefully Complete Guide by Alex Reinhart, a graduate student in statistics at Carnegie Mellon University, is a guide to many common errors in statistical analyses in scientific research papers with many examples drawn mostly from the biology and medical research literature. There is also a… 
Review of StatSpotting: A Field Guide to Identifying Dubious Data
13 Apr 2015  6:00 amStatSpotting: A Field Guide to Identifying Dubious Data Joel Best University of California Press Berkeley and Los Angeles, California 2008, updated 2013 158 pages (Paperback) My Rating: 4/5 Introduction StatSpotting: A Field Guide to Identifying Dubious Data by Joel Best, author of Damned Lies and Statistics and More Damned Lies and Statistics, is a detailed, practical handbook of warning signs for false or misleading numbers and statistics and in some cases methods to determine if the numbers and statistics are false or misleading. We can say that a number or statistic is misleading if the…

MathFour

Some Ways to Tell When a Math Problem is Wrong
5 Aug 2015  4:06 pmWe so often look to see if an answer is right. Sometimes it’s easier and faster to see when it’s wrong. Hover over each of the red dots in the image below to see some examples. Share your thoughts in the comments. And don’t forget to share on Twitter, Facebook and Pinterest. 
Talking About Guns at School
29 Jul 2015  12:09 pmI have a concealed handgun license. I own a couple of pistols and enjoy shooting them. I like to shoot trap and skeet. And I’m married to a lifetime member of the NRA. You could say I like guns. Being a teacher and liking guns is a bit of a challenge, though. When students talk about guns, I have to be careful. I don’t want to lie (it’s tough earning trust as a math teacher these days). But I don’t want to encourage inappropriate conversations. I talk about talking about guns. That’s not a typo. I talk about talking about guns with my students. If you try to… 
Zentangle – Meditation, Art, Math!
20 Jul 2015  4:13 amMy cousininlaw recently introduced me to this cool “doodling” method called Zentangle. I’ve been doing it quite a bit – especially since it’s far more socially acceptable to draw than check twitter during meetings. ahem… Zen… WHAT? Zentangle. Zen TANGLE. So it’s Zenish (meditative, calm, relaxing), using tangles (like doodles, but more intricate and structured). Each tangle is a design using circles, line segments, curves and/or shading. You repeat the tangle into a pattern, adding variety in size, shape or orientation to make some really… 
Your Students Are Individuals
17 Jul 2015  1:58 amI was so sad to when I made the decision to resign. For the last year I’ve been teaching students with diagnosed neurological differences. They’ve been remarkable from so many perspectives. But when I told one of the administrators how much I’ll miss them, the response was a cool, “There are always more students.” Interchangeable Students This flippant comment didn’t sit well with me. Of course there are always more students. But saying this implies that this year’s students are merely “numbers.” Numbers that can be interchanged with next year’s students. Just… 
Texas Instruments Little Professor
15 Jul 2015  11:05 amThis morning I featured the Little Professor “electronic calculator” by Texas Instruments on episode 23 of #KnickKnackYack in the #MathShack. It was so cool and so much fun, I wanted to share it here. If you’re old enough, you might remember having one of these. Or coveting it because your friend had it. And if you’re geeky enough, you might remember actually playing it. You can find the vintage Little Professors here or buy a fancy new Solar Little Professor from TI here. And you can share this on Twitter, Facebook and even Pinterest! I do #KnickKnackYack in the…

MIND Research Institute Blog

Off the Number Line: Imaginaries at Play
27 Aug 2015  9:00 amInterviewer: Cute! I like how 8i is the mom. Very fitting. What are those imaginary number kids 3i and 5i playing with down there on the real number line? Cartoonist: They’re using the real numbers 1 and 4 as swords. I’m imagining that the mom probably also said: “Put those down! Those are real.” Interviewer:Is that vertical dashed line the imaginary number line? Cartoonist: Yes. Since i, the square root of 1, doesn’t exist on the real number line, you can represent it by having it float above 0. When you consider multiples of i (1i, 2i, 3i, etc…) it forms that vertical… 
Math Camp Ignites Students' Mathematical Thinking
25 Aug 2015  9:00 amOur firstever summer Math Camp immersed 128 middle school students from across Southern California in a week of math fun and gamebased learning. Held at Irvine Ranch Outdoor Education Center, the camp aimed to engage tweens in fun activities that revealed how math is all around us in the world. “It was was just like solving a puzzle," said eighth grader David Rodriguez at the end of camp. "It was easy!" David and his fellow campers used probability, strategy and working memory while playing ancient math games; learned polar coordinates while pretending to be zombies in the game… 
Off the Number Line: Prime Cut Special
20 Aug 2015  10:08 amInterviewer: I get it. Instead of a prime cut of beef, he’s cutting into prime numbers. But what is confusing me is that I see a 6 and a 9, and those aren’t prime. What am I missing? Cartoonist: This is fascinating. Check out that number he is cutting into. No matter where that numerical butcher cuts, the right side will always be a prime number. Right now he’s cutting to make 29137, which is prime, but if he moves the knife a digit to the right, 9137 is also prime. If he moves to the left, 629137, he also gets prime. In fact he can cut anywhere along this sequence of digits and… 
Blended Learning Models and Best Practices from Blended
18 Aug 2015  9:00 amBy: Amy Nolte and Amber Orenstein, MIND Research Institute As educators we are bombarded on a daily basis with buzzwordsdatadriven, differentiated, personalized learning, the list goes on and on. Blended learning has come into the forefront in recent years as a solution to the everyday challenges we face in classrooms around the world. What is blended learning and what makes it different from what we’ve tried in the past? “Personalized and competencybased learning, implemented well and jointly, form the basis of a studentcentered learning system...students develop a sense… 
Off the Number Line: Irregular Polygons Cartoon
13 Aug 2015  9:00 amInterviewer: I actually laughed out loud at this one. It was such a coincidence too because I was eating my cereal when I reviewed it this morning. Cartoonist: Did milk come out of your nose? I used to make my little sister do that all the time. Interviewer: I didn’t laugh THAT hard, but I did appreciate how you connected our societal pressures for certain body types to the implied preference for regular polygons in this mathematical world. Cartoonist: This irregular polygon almost looks embarrassed to buy that product, and yet if you rotate the cartoon counter clockwise you’ll see…

Teach Math Free

The Complete guide to Accredited Bachelor Degrees Online  Mathematics
28 Aug 2015  8:52 amThinking of an online degree in mathematics? Looking to work and study at the same time? Accredited online degrees are no more a dream. These courses offer significant benefits like focused quality learning, video lectures, interactive forums and no commuting, boarding or transportation costs. I have always felt online education is the way to go... The post The Complete guide to Accredited Bachelor Degrees Online  Mathematics appeared first on Teach Math Free. 
Printable practice worksheets for 1st grade & kindergarten math curriculum
19 Aug 2015  4:56 amToday's post is a "dream post" for many maths tutors out there. I am sure all the teachers look to adhere to the common core standards while preparing for their classes. The idea of following up class room sessions with "slip tests" makes the class effective, useful and informative. In this post, I will tell you how... The post Printable practice worksheets for 1st grade & kindergarten math curriculum appeared first on Teach Math Free. 
Math Tutor  Online trivia quiz  Day 1
17 Aug 2015  9:55 am1. A Prism is a geometric figure with the lateral faces in the shape: a. triangle b. square c. Rhombus d. parallelogram 2. Pentagon Prism has __________edges. a. 10 b. 12 c. 14 d. 15 Do leave your comments below: The post Math Tutor  Online trivia quiz  Day 1 appeared first on Teach Math Free. 
Volume and Surface Area of a Cylinder Calculator
10 Aug 2015  11:14 amHi there, In this post, I wish to cover an important topic of the geometry curriculum  Cylinders. I find kids often get confused between the volume and surface area formula of a cylinder. Today's post would cover in detail the concept of cylinders. At the end of the post I have also included a volume... The post Volume and Surface Area of a Cylinder Calculator appeared first on Teach Math Free. 
Printable Common Core 6th grade Math Worksheets  Circles
1 Aug 2015  11:59 amIn an attempt to make the class interactive, a math tutor would consider preparing Worksheets for students on concepts that have been introduced in class. For instance, if the students have been taught the concept of Circles from the geometry curriculum, they could be provided with a small quiz on basics of circles. Interactive worksheets not only aids students... The post Printable Common Core 6th grade Math Worksheets  Circles appeared first on Teach Math Free.