ValueWalkHow a Math Algorithm Could Educate the Whole World — for Free  PoShen LohValueWalkPoShen Loh is a Princetoneducated mathematician, Carnegie Mellon professor, the head coach of the U.S. International Math Olympiad team, and now he's adding startup entrepreneur to his knockout resume. Loh has created Expii, a math and science...


Most Popular Stories

How a Math Algorithm Could Educate the Whole World — for Free  PoShen Loh  ValueWalk
MATH  Google News27 Feb 2017  8:36 pm 
What to do in Oklahoma on Feb. 28, 2017: See 'Ugly Bugs' at the Sam...
Search for "math OR mathematics"28 Feb 2017  7:35 amThe Sam Noble Oklahoma Museum of Natural History and the Oklahoma Microscopy Society celebrate 20 years of the Oklahoma Ugly Bug contest with an exhibition of largerthanlife photos of insects, all captured by the contest's previous winners. Open to all Oklahoma elementary schools, the annual "Ugly Bug" competition is designed to get students interested in microscopy and entomology at a young age. 
Maths and maps make you nervous? It could be in your genes
Mathematics News  ScienceDaily21 Feb 2017  7:10 amOur genes play a significant role in how anxious we feel when faced with spatial and mathematical tasks, such as reading a map or solving a geometry problem, according to a new study. 
Fractal Secrets of Rorschach's Famed Ink Blots Revealed
Scientific American  Math15 Feb 2017  6:45 amThe simplicity of the stains' repeating patterns is key to why we see so many images in them  Read more on ScientificAmerican.com 
Her Scientific Discovery: Support
Mathematics25 Feb 2017  5:00 amA Yale scientist needed advocates in order to believe she could succeed in her field.




MATH  Google News

How a Math Algorithm Could Educate the Whole World — for Free  PoShen Loh  ValueWalk
27 Feb 2017  8:36 pmValueWalkHow a Math Algorithm Could Educate the Whole World — for Free  PoShen LohValueWalkPoShen Loh is a Princetoneducated mathematician, Carnegie Mellon professor, the head coach of the U.S. International Math Olympiad team, and now he's adding startup entrepreneur to his knockout resume. Loh has created Expii, a math and science... 
Here's what we know about Trump's budget math  CNN
27 Feb 2017  6:10 pmCNNHere's what we know about Trump's budget mathCNNWashington (CNN) President Donald Trump outlined some very broad strokes of his budget proposal during remarks in Washington Monday. Details will come later. But we do know after a quick briefing from Office of Management and Budget Director Mick...Trump's bad math on the budgetWashington PostDonald Trump's budget plan is built on political tropes and bad mathQuartzall 2,142 news articles 
Nowformer math teacher arrested for alleged relationship with student  11alive.com
27 Feb 2017  1:28 pm11alive.comNowformer math teacher arrested for alleged relationship with student11alive.comFORSYTH COUNTY, Ga.  Authorities arrested a former Forsyth County math teacher accused of having a relationship with a 17yearold female who is a student at the school where he taught. According to the Forsyth County Sheriff's Office, 33yearold ...Former math teacher arrested for sexual assault against student  CBS46 NewsCBS46 News AtlantaFormer Forsyth teacher arrested for having sex with student  Story ...FOX 5 Atlantaall 7 news articles 
New math program at CASD getting good reviews  Chambersburg Public Opinion
27 Feb 2017  1:13 pmChambersburg Public OpinionNew math program at CASD getting good reviewsChambersburg Public OpinionSCOTLAND  Chambersburg Area School District's new Eureka Math program is being embraced by teachers, students and their parents. Greg and Jenny Sefcheck say their daughter Gwen, a thirdgrader at Scotland Elementary School, comes home this... 
Netflix Reed Hastings the idea for Netflix  CNBC.com  CNBC
27 Feb 2017  10:38 amCNBCNetflix Reed Hastings the idea for Netflix  CNBC.comCNBCNetflix is a behemoth worth more than $60 billion, but the idea for the company stemmed from a textbook engineering example, according to its cofounder.and more



Search for "math OR mathematics"

What to do in Oklahoma on Feb. 28, 2017: See 'Ugly Bugs' at the Sam...
28 Feb 2017  7:35 amThe Sam Noble Oklahoma Museum of Natural History and the Oklahoma Microscopy Society celebrate 20 years of the Oklahoma Ugly Bug contest with an exhibition of largerthanlife photos of insects, all captured by the contest's previous winners. Open to all Oklahoma elementary schools, the annual "Ugly Bug" competition is designed to get students interested in microscopy and entomology at a young age. 
Excongregants reveal years of ungodly abuse
28 Feb 2017  7:29 amFrom all over the world, they flocked to this tiny town in the foothills of the Blue Ridge Mountains, lured by promises of inner peace and eternal life. What many found instead: years of terror  waged in the name of the Lord. 
Minus the Bear's Jake Snider Talks 'VOIDS,' Premieres New Track 'What About The Boat?': Exclusive
28 Feb 2017  7:28 amDave Knudson and Jake Snider of Minus the Bear perform during the Pemberton Music and Arts Festival on July 18, 2014 in Pemberton, British Columbia. It's easy to get swept away by time, leaving behind just a mere trace you were there  especially in the music industry, where time passes and new acts consistently fill in the space old ones left. 
Primary Election Day: Bloomington voters to narrow mayoral field
28 Feb 2017  7:22 amBloomington voters will go to the polls today to narrow the field of five candidates for mayor to two. Those two will face off in the April general election. 
The Weird Ways Humans Are Evolving Right Now
28 Feb 2017  7:20 amAuthor and TED Talk "all star" Juan Enriquez describes all the weird ways humans came to be and all the SUPER weird ways we'll evolve into the future. We humans like to think of ourselves as the final act in a long process of genetic trialanderror whose sole raison d'tre was to produce us: Earth's alpha species.



Mathematics News  ScienceDaily

Maths and maps make you nervous? It could be in your genes
21 Feb 2017  7:10 amOur genes play a significant role in how anxious we feel when faced with spatial and mathematical tasks, such as reading a map or solving a geometry problem, according to a new study. 
Decisionmaking suffers when cancer patients avoid math
20 Feb 2017  6:57 amMany of the toughest decisions faced by cancer patients involve knowing how to use numbers  calculating risks, evaluating treatment options and figuring odds of medication side effects. But for patients who aren’t good at math, decision science research can offer evidencebased advice on how to assess numeric information and ask the right questions to make informed choices. 
How garbage patches form in world's oceans
13 Feb 2017  10:11 amA new study on how ocean currents transport floating marine debris is helping to explain how garbage patches form in the world's oceans. Researchers developed a mathematical model that simulates the motion of small spherical objects floating at the ocean surface. 
Math learned best when children move
8 Feb 2017  8:16 amChildren improve at math when instruction engages their own bodies, concludes a new study. The results also document that children require individualized learning strategies. 
Students who enjoy or take pride in math have better longterm math achievement
8 Feb 2017  6:44 amA study of 3,425 German students from grades 5 through 9 has found that students who enjoyed and took pride in math had even better achievement than students with higher intelligence.



Scientific American  Math

Fractal Secrets of Rorschach's Famed Ink Blots Revealed
15 Feb 2017  6:45 amThe simplicity of the stains' repeating patterns is key to why we see so many images in them  Read more on ScientificAmerican.com 
How Math Could Help Map Earth's Interior
10 Feb 2017  10:45 amA new solution to a decadesold geometry puzzle might unlock the secrets of our planet's inner structure  Read more on ScientificAmerican.com 
Great Literature Is Surprisingly Arithmetic
10 Feb 2017  6:00 amGreat literature is surprisingly arithmetic  Read more on ScientificAmerican.com 
Hive Mind: New Approach Could Improve on Crowd Wisdom
25 Jan 2017  11:00 amAsking people how many others agree with them could yield more accurate estimates  Read more on ScientificAmerican.com 
The Race to Replace the Kilogram
24 Jan 2017  5:30 amThe longrunning effort to ditch the decaying, 19thcentury artifact that defines the kilogram nears its conclusion  Read more on ScientificAmerican.com



Mathematics

Her Scientific Discovery: Support
25 Feb 2017  5:00 amA Yale scientist needed advocates in order to believe she could succeed in her field. 
Dismal Voucher Results Surprise Researchers as DeVos Era Begins
23 Feb 2017  4:00 amThe new studies come at an interesting moment, with a proponent of vouchers newly in charge of the Education Department. 
Beyond ‘Hidden Figures’: Nurturing New Black and Latino Math Whizzes
17 Feb 2017  2:00 amA free math camp for middleschool students from New York’s poorest neighborhoods was an effort to increase the number of blacks and Latinos with advanced math degrees. 
Raymond Smullyan, PuzzleCreating Logician, Dies at 97
11 Feb 2017  8:41 amWhether it was in books or in conversation, Mr. Smullyan had a knack for adding a dash of whimsy to the logic puzzles he devised. 
Trying to Solve a Bigger Math Problem
3 Feb 2017  8:41 amAlgebra is a stumbling block for many freshmen. But do so many need to be in a remedial class?



Blog – DreamBox Learning

Notable Quotables: Why DreamBox is an Essential Solution for Classrooms
24 Feb 2017  3:07 amDreamBox Learning is not only an essential tool in classrooms for a variety of reasons, but it also serves as a solution for many. From the amount of data that it yields in allowing educators to improve on and plan their lessons, to the use of as an intervention program, it is applied in a multitude of capacities. Below are thoughts from educators who offer their experiences in applying DreamBox Learning in their daily instruction. “DreamBox is an essential tool in my classroom because we use it every day in stations. My students are able to focus on their current objectives, and have a choice. Student voice is very important to me, and allowing them the choice of what they are working on is vital in... 
Top Teacher Tips for Using DreamBox to Support ELL Students
24 Feb 2017  12:26 amTeaching English language learners can be challenging, but it’s incredibly rewarding and fun when you have technology that supports the unique needs of all learners. I am a 6th grade teacher at a preK6 school with over 900 students in Herndon, Virginia. Nearly 50 percent of the kids walking through the school doors are recipients of consistent ESL services. Meanwhile, the other 20 percent of students who can speak, read, and write in English, don’t necessarily do so at an ageappropriate level. For example, I have 6th grade students who have tested out of ESL services, but they can’t read English at a level comparable to their native Englishspeaking peers. I am fortunate to have access to DreamBox... 
Blog Roundup: Meeting the Needs of All Learners
21 Feb 2017  10:25 amIt’s an important time to honor those who’ve paved the way for education, access, and equity as well as reflect on what still needs to be done. As an edtech leader, DreamBox is dedicated to meeting the needs of all learners to ensure that every child can succeed in math and every teacher has the support to improve their instructional practice, regardless of who they are or where they live. Here is a roundup of our most popular blogs addressing the importance of equity and access in education from our CEO Jessie WoolleyWilson. STEM Help Wanted The Power of High Expectations in Equitable Education Closing the STEM Gap for Girls Educational Equity: Six Ways to Open Opportunity Women in Tech... 
8 Great Classroom Resources For Black History Month
16 Feb 2017  1:22 amGet your students in the math mindset and inspire the next generation of innovators and leaders this month. Share and try out the below resources and activities to help educate students about African American mathematicians and scientists who have and continue to break barriers, make strides in STEM, and change the world. 1. Bringing Black History Month to STEM Classrooms Get the scoop: Here’s a comprehensive article from Education Week Teacher on the importance of providing inspiring role models for AfricanAmerican students, and other minorities, who are sorely underrepresented in STEM fields. The piece includes some great resources for learning about black scientists, mathematicians and... 
African American STEM Leaders You Need to Know (If You Don’t Already)
14 Feb 2017  12:25 amFrom the invention of the first 3D TV to the first moonbased observatory, African American mathematicians, scientists, and inventors have contributed to our nation’s greatness since the time of President George Washington. In honor of Black History Month, we’re highlighting the contributions of many African Americans who have changed our world. Check out our timeline of changemakers and innovators who have and are dedicating their lives to math, education, and science. Want to print this? Click here to download a highresolution PDF of the infographic. <a href="http://www.dreambox.com/blog/worldchangingafricanamericansinfographic"><img alt="World Changing African Americans"...



Loren on the Art of MATLAB

The Perverse Port Passing Problem
14 Feb 2017  12:50 pmToday's guest blogger is Jos Martin, from the Parallel Computing group at MathWorks. Whilst normally focussing on making parallel computing both easy and fast in MATLAB, occasionally he likes to use MATLAB to explore other problem spaces. Here, he writes about an interesting random walk process he encountered that has allowed him to explore both simulation and analytic methods in MATLAB, and using each of those methods to help guide the other. Contents <ul> <li>Introduction</li> <li>A simulation approach</li> <li>Investigating the final position of the port</li> <li>Analytic probability for last position when passing is unbiased</li> <li>What happens if there is a biased probability of passing left or right?</li> <li>Does this biased...</li></ul> 
Analyzing Fake News with Twitter
7 Feb 2017  5:36 amSocial media has become an important part of modern life, and Twitter is again a center of focus in recent events. Today's guest blogger, Toshi Takeuchi gives us an update on how you can use MATLAB to analyze a Twitter feed. Contents<ul><li>Twitter Revisited</li><li>Load Tweets</li><li>Short Urls</li><li>Tokenize Tweets</li><li>Sentiment Analysis</li><li>What Words Appear Frequently in Tweets?</li><li>What Hashtags Appear Frequently in Tweets?</li><li>Who Got Frequent Mentions in Tweets?</li><li>Frequently Cited Web Sites</li><li>Frequently Cited Sources</li><li>Generating a Social Graph</li><li>Handling Mentions</li><li>Creating the Edge List</li><li>Creating the Graph</li><li>Zooming into the Largest Subgraph</li><li>Using Twitty</li><li>Twitter Search API Example</li><li>Twitter Trending Topic API Example</li><li>Twitter Streaming API Example</li><li>Summary  Visit Andy's...</li></ul> 
Speed Dating Experiment
31 Jan 2017  7:22 amValentine's day is fast approaching and those who are in a relationship might start thinking about plans. For those who are not as lucky, read on! Today's guest blogger, Today's guest blogger, Toshi Takeuchi, explores how you can be successful at speed dating events through data. Contents<ul><li>Speed Dating Dataset</li><li>What Participants Looked For In the Opposite Sex</li><li>Were They Able to Find Matches?</li><li>Do You Get More Matches If You Make More Requests?</li><li>Decision to Say Yes for Second Date</li><li>Factors Influencing the Decision</li><li>Validatng the Model with the Holdout Set</li><li>Relative Attractiveness</li><li>Are We Good at Assessing Our Own Attractiveness?</li><li>Attractiveness is in the Eye of the Beholder</li><li>Modesty is the Key to Success</li><li>Summary</li></ul>Speed Dating... 
Vectorizing Graphics Operations
19 Jan 2017  7:19 amLet's talk about changing characteristics of elements in a plot today. I will use an example derived from one in Mapping Toolbox. My goal is to show you good ways to modify your graphics.Contents<ul><li>Set Up</li><li>Read the USA high resolution data</li><li>Create Base Map</li><li>Change One State Color</li><li>Change Another One</li><li>Set All States' Patches to One Color</li><li>Change Each State to a Different Color  for loop</li><li>Change Each State to a Different Color  set</li><li>Conclusion</li></ul>Set UpFirst I put the examples directory onto my path so I can get the shape file containing state borders as polygons.addpath(fullfile(userpath, 'Examples','mapexgeo')) Read the USA high resolution datastates = shaperead('usastatehi','UseGeoCoords',true); Create a SymbolSpec to display... 
Predicting When People Quit Their Jobs
5 Jan 2017  7:18 am2017 is upon us and that means some of you may be going into your annual review or thinking about your career after graduation. Today's guest blogger, Toshi Takeuchi used machine learning on a jobrelated dataset for predictive analytics. Let's see what he learned. Contents<ul><li>Dataset</li><li>Big Picture  How Bad Is Turnover at This Company?</li><li>Defining Who Are the "Best"</li><li>Defining Who Are the "Most Experienced"</li><li>Job Satisfaction Among High Risk Group</li><li>Was It for Money?</li><li>Making Insights Actionable with Predictive Analytics</li><li>Evaluating the Predictive Performance</li><li>Using the Model to Take Action</li><li>Explaining the Model</li><li>Operationalizing Action</li><li>Summary</li></ul>Companies spend money and time recruiting talent and they lose all that investment when people...



Denise Gaskins' Let's Play Math

Visualizing Word Problems with Bar Model Diagrams
27 Feb 2017  10:49 amA friend emailed me, frustrated with her child’s math lesson on bar diagrams: “Why do they have to make it so complicated? Why can’t we just solve the blasted problem?” I told her bar models themselves are not the goal. The real question for parents and teachers is: <ul> <li>What can you do when your child is stumped by a math word problem?</li> </ul> To solve word problems, students must be able to read and understand what is written. They need to visualize this information in a way that will help them translate it into a mathematical expression. Bar model diagrams are one very useful tool to aid this visualization. These pictures model the word problem in a way that makes the solution appear almost like magic. It is a... 
Playful Math Carnival #105 via Mrs. E
25 Feb 2017  4:59 amCheck out the new carnival of playful math for all ages at Mrs. E Teaches Math. Each month’s carnival brings you a great new collection of puzzles, math conversations, crafts, teaching tips, and all sorts of mathy fun. <ul> <li>Math Teachers at Play #105</li> </ul> This month’s post features algebra tips, geometry proofs, Fibonacci rabbit trails, math art, and much more. Click Here to Go Read the Carnival Blog! Past carnivals are still full of mathy treasure. Check them out: <ul> <li>Browse all the past editions of the Math Teachers at Play blog carnival</li> </ul> Want to help your kids learn math? Claim your free 24page problemsolving booklet, and you’ll be among the first to hear about new books, revisions, and sales or other... 
Math Teachers and Homeschool Bloggers: We Want You!
12 Feb 2017  11:16 pm[Photo by Olga Berrios (CC BY 2.0) via Flickr.] Do you have a favorite blog post about math activities, games, lessons, or handson fun? The Math Teachers at Play (MTaP) math education blog carnival would love to feature your article! We welcome math topics from preschool through the first year of 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 Have you noticed a new math blogger on your block that you’d like to introduce to the rest of us? Feel free to submit another blogger’s post in addition to your own. Beginning bloggers are often shy about sharing, but like all of us, they love finding new readers.... 
A Map of Mathematics
6 Feb 2017  10:09 amPure mathematics, applied math, and more — all summarized in a single map! Watch the video by physicist and awardwinning science writer Dominic Walliman: Walliman says, “To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes…” <ul> <li>Can you find three mistakes in the map?</li> </ul> Check your answers in the description on Walliman’s YouTube page. If you enjoy this video, you can purchase the poster (or Tshirt, coffee mug, tote bag, etc.) at Red Bubble. Map of Mathematics poster by Dominic Walliman via Flickr (CC BYNCND 2.0). Want to help your kids learn math? Claim your free 24page problemsolving booklet, and you’ll be among the first to hear... 
Confession: I Am Not Good at Math
1 Feb 2017  5:18 amI want to tell you a story. Everyone likes a story, right? But at the heart of my story lies a confession that I am afraid will shock many readers. People assume that because I teach math, blog about math, give advice about math on internet forums, and present workshops about teaching math — because I do all this, I must be good at math. Apply logic to that statement. The conclusion simply isn’t valid. Horrifying Gaps in My Knowledge My mathematical understanding is stuck in the earlytomid 17th century. After reading several intriguing quotes about the Riemann Hypothesis, I was overcome by curiosity. I looked it up. The Riemann Hypothesis is a string of nonsense syllables surrounding one magic phrase:...



Basic mathematics blog

Equation of a Circle
22 Feb 2017  10:53 amWhat is the equation of a circle? How to derive the equation of a circle? 
Dividing fraction worksheets generator
16 Feb 2017  9:42 amThis dividing fraction worksheets generator will help you generate unlimited worksheets readility available to print 
Basic math search
16 Feb 2017  5:08 amBasic math search for all your needs in basic math. 
Comparing fractions worksheets
16 Feb 2017  4:50 amThis comparing fractions worksheets generator will help you generate unlimited worksheets readility available to print for free 
Basic mathematics test
16 Feb 2017  4:47 amA basic mathematics test that you can readily be printed and taken to find out how well you know your basic math skills.



Computational Complexity

Should we learn from the Masters or the Pupils (Sequel)
26 Feb 2017  7:44 pmA while back I had a blog entry Should we learn from the Masters of the Pupils?The Masters may have more insights but he Pupils may have a better view aided by a modern viewpoint. Sometimes the Masters are in a different language or not in the modern style but you still want to know what they did and why. As I blogged about earlier (See here) Villarino/Gasarch/Regan have a paper which explains Hilbert's Proof of Hilbert's Irreducibility Theorem (see) Tao has a paper on Szemeredi's Proof of Szemeredi's Theorem (on Tao's webpage:here). Villarino has a paper on Merten's Proof of Merten's Theorem (here). Mark Villarino read that blog entry (good to know someone did!) and then presented me with MANY... 
Ken Arrow and Oscars Voting
23 Feb 2017  4:07 amKenneth Arrow, the Nobel Prize winning economist known for his work on social choice and general equilibrium, passed away Tuesday at the age of 95. I can't cover Arrow's broad influential work in this blog post even if I were an economist but I would like to talk about Ken Arrow's perhaps best known work, his impossibility theorem for voting schemes. If you have at least three candidates, there is no perfect voting method. Suppose a group of voters give their full rankings of three candidates, say "La La Land", "Moonlight" and "Manchester by the Sea" and you have some mechanism that aggregates these votes and chooses a winner. Now suppose we want a mechanism to have two fairness properties (for every... 
The benefits of Recreational Mathematics
19 Feb 2017  8:25 pmWhy study Recreational Mathematics? Why do recreational Mathematics? 1) The line between recreational and serious mathematics is thin. Some of the problems in socalled recreational math are harder than they look. 2) Inspiring. Both Lance and I were inspired by books by Martin Gardner, Ray Smullyan, Brian Hayes, and others. 3) Pedagogical: Understanding Godel's Inc. theorem via the Liar's paradox (Ray S has popularized that approach) is a nice way to teach the theorem to the layperson (and even to nonlaypeople). 4) Rec math can be the starting point for socalled serious math. The Konigsberg bridge problem was the starting point for graph theory, The fault diagnosis problem is a generalization of... 
Liberatus Wins at Poker
16 Feb 2017  4:51 amTuomas Sandholm (center) and Ph.D. student Noam Brown (via CMU) Congratulations to Liberatus the new poker champ. Liberatus, an AI program, beat several topranked players in headsup (two player) nolimit Texas hold 'em. For those unfamiliar with Texas hold 'em Two cards, known as the hole cards or hold cards, are dealt face down to each player, and then five community cards are dealt face up in three stages. The stages consist of a series of three cards ("the flop"), later an additional single card ("the turn") and a final card ("the river"). Each player seeks the best five card poker hand from the combination of the community cards and their own hole cards. Players have betting options to check,... 
Raymond Smullyan: Logician, Recreational math writer, Philosopher, passed away
13 Feb 2017  10:45 amRaymond Smullyan was born on May 25 1919 and passed away recently at the age of 97. He was a logician (PhD from Princeton under Alonzo Church in 1959) who did serious, recreational, and philosophical work. I doubt he invented the truthteller/liar/normals and knight/knave/Knormal problems, but he popularized them and (I suspect) pushed them further than anyone before him. He was active all of his life: His last book on Logic Puzzles, The Magic Garden of George B and other Logic Puzzles was published in 2015. Wikipedia lists 14 books on logical puzzles, from 1978 untl 2015. His last book classified (on Wikipedia) as Philosophy/Memoir, A Mixed Bag: Jokes, Riddles, Puzzles, and Memorabilia was published...



The Math Less Traveled

Games with factorization diagram cards
17 Feb 2017  1:09 pmSince I published a deck of factorization diagram cards last September, a few teachers have picked up copies of the cards and started using them with their students. I’ve started collecting ideas for games you can play using the cards, and want to share here a few game ideas from Alex Ford who teaches middle school in St. Paul, Minnesota. If you want to get your own set you can buy one here! Also, if you have any other ideas for games or activities using the cards, please send them my way. War First, you can play a classic game of War. The twist is that while playing you should only look at the diagram side of the cards, not the side with the writtenout number. So part of the game is figuring out which... 
The MacLaurin series for sin(x)
13 Feb 2017  10:12 amIn my previous post I said “recall the MacLaurin series for :” Since someone asked in a comment, I thought it was worth mentioning where this comes from. It would typically be covered in a secondsemester calculus class, but it’s possible to understand the idea with only a very basic knowledge of derivatives. First, recall the derivatives and . Continuing, this means that the third derivative of is , and the derivative of that is again. So the derivatives of repeat in a cycle of length 4. Now, suppose that an infinite series representation for exists (it’s not at all clear, a priori, that it should, but we’ll come back to that). That is, something of the form What could this... 
The Basel problem
6 Feb 2017  12:44 pmI wanted to follow up on something I mentioned in my previous post: I claimed that At the time I didn’t know how to prove this, but I did some quick research and today I’m going to explain it! It turns out that determining the value of this infinite sum was a famous open question from the mid1600s until it was solved by Leonhard Euler in 1734. It is now known as the Basel problem (it’s not clear to me whether it was called that when Euler solved it). Since then, there have been many different proofs using all sorts of techniques, but I think Euler’s original proof is still the easiest to follow (though it turns out to implicitly rely on some notsoobvious assumptions, so a completely formal... 
The Riemann zeta function
2 Feb 2017  11:55 amRecall from my previous post that given a function , we define , the Dirichlet generating function of , by We also proved that : the product of Dirichlet generating functions is the Dirichlet generating function of the Dirichlet convolution. Now, consider taking in the above definition. We get which is also often written as just plain . This function is quite famous: it is the Riemann zeta function. The reason it is so famous is because it is the subject of a famous unproved conjecture, the Riemann hypothesis, which in turn is famous because it has been both difficult to prove—many mathematicians have been attacking it for a long time—and deeply related to many other areas of mathmatics. In... 
Dirichlet generating functions
30 Jan 2017  1:06 pmSuppose is a function defined for positive integers . Then we can define an infinite series as follows: (This might look a bit strange, but bear with me!) For example, suppose for all . Then (Note that in this case, with , the infinite sum converges; but often we just use as a formal placeholder and don’t particularly care about convergence. That is, is perfectly well defined as an infinite series without worrying about the value of .) In fact is called the Dirichlet generating function for . Of course, this name should remind you of Dirichlet convolution—and it’s no coincidence; Dirichlet convolution and Dirichlet generating functions are closely related. Let’s see how. Suppose we...



WordPress Tag: Mathematics

Yin & Yang Logarithmic Spirals
28 Feb 2017  6:24 amThe figure depicts the wellknown black and white symbol of Yin and Yang. The dots of different color in the area delimited by each force symbolize the fact that each force bears the seed of its counterpart within itself. According to the principle of Yin and Yang outlined above, neither Yin nor Yang can be observed directly. Both Yin and Yang are intertwined forces always occurring in pairs, rather than being isolated forces independent from each other. In Chinese philosophy, Yin and Yang assume the form of spirals. Let us now show that the net force in K = −p(K ) ∗ ln(1 − p(K )/p(K)) the performance of a given confidence value K always matches exactly the expectation, i.e. in other words E =... 
Complain about MSRI day
28 Feb 2017  4:10 amI will be heading off later this week to the Academic Sponsors’ Day at MSRI, going as Shmuel’s proxy for uchicago. I’m not sure to what extent (if any) there is for me to make policy suggestions, but any comments you would like me to pass on to MSRI management would be appreciated. Post them below! There is one program at MSRI that (from my mostly second hand observations) seems as though it could do with some improvement. MSRI regularly holds a number of summer schools. For example, this summer, Kevin Buzzard is giving an introduction to the theory of automorphic forms. I would have loved to been able to go to such talks when I started out as an graduate student, and I really wanted to send some of my... 
YAPN (CHiPhi) 24th March 2017  Leeds
28 Feb 2017  1:35 amThe spring meeting of the Yorkshire Ancient Philosophy Network, within the Centre for the History of Philosophy, will be in Leeds, on Friday 24th March, 2017, at the InterDisciplinary Ethics Applied (IDEA) Centre, 17 Blenheim Terrace, University of Leeds. Details of the event are as follows. PROGRAMME: 9.3010.00 Tea / Coffee 10.0012.00 Reading Group: Aristotle, Rhetoric 2.24. 12.001.00 Lunch (provided) 1.002.15 Anthony Hooper (University of Durham) – “Suicide and the limits of myth in Plato’s Phaedo” 2.153.00 Paola ChapaMontes (Leeds) – tbc. (on τὸ καλόν in Plato) 3.003.30 Tea / Coffee 3.304.45 Suzanne SternGillet (Bolton / Manchester) — “Suicide in Plotinus and... 
Exam is coming!
28 Feb 2017  12:18 amHello there! I am worried right now because the exam is just around the corner and I’m just sitting around and relaxing. Maybe I should start to study for the upcoming exam. The exam will starts in 2 weeks. I hope that I can get better results than the last year’s and my main goal is to get straight A’s for this year’s exams. I hope that I can do it! So, I think that I should post something useful for me and the other students, maybe I can post notes, tips, etc. The majority of my notes will be in Bahasa Malaysia or Malay since I’m a Malaysian. My teachers teach me and my classmates Science and Mathematics in Bahasa Malaysia, but not all the students in Malaysia learn them in BM – they learn them in... 
Maths Revision for SA2
27 Feb 2017  11:42 pmRational Numbers: 1. Write down the numerator of each of the following rational numbers: (i) (7)/5 (ii) 15/(4) (iii) (17)/(21) (iv) 8/9 (v) 5 2. Write down the denominator of each of the following rational numbers: (i) (4)/5 (ii) 11/(34) (iii) (15)/(82) (iv) 15 (v) 0 3. Write down the rational number whose numerator is (3) × 4, and whose denominator is (34 – 23) × (7 – 4). 4. Write the following rational numbers as integers: 17/1, (23)/1, 35/1, (77)/1, 91/1. 5. Write the following integers as rational numbers with denominator 1: 19, 27, 71, 101. 6. Write down the rational number whose numerator is the smallest four digit number and denominator is the largest five digit number. 7. Separate...



mathrecreation

fibonacci foolery
11 Feb 2017  1:32 pmSome misleading dissectionsConsider a square whose sides are 5 units in length. We are going to dissect the square by cutting it as shown below. We can then rearrange the pieces to form a rectangle.But wait, the square has area 5 * 5 = 25, while the rectangle has area 8 * 3 = 24... somewhere we lost one square unit. This paradoxical result tells us that something is wrong, but what is it?Let's look at another very similar dissection, this time using a square with sides length 8 units, sliced up and reassembled in a similar way:Here the square has area 8 * 8 = 64, but the rectangle has area 13 * 5 = 65. In this case we have gained one square unit (maybe borrowed from puzzle above?).In both cases, the... 
build your own knight's tour
29 Jan 2017  11:21 amA couple of posts back I mentioned some knight and king's tour puzzles that I had put together (knights here, kings here). I've added another page based on the same underlying framework where you can build your own knight's tour.You start off with something like this:Green squares indicate a legal move, and the numbers on each square tell you how many open moves are available from that square.Visited squares are marked with a check, and a map of your path is traced on the image below the board.The "Warnsdorff" heuristic for finding a tour is to always move to a square with the lowest number of available moves. This heuristic works well  it often leads you to a successfully completed tours. You can try this... 
a julia and mandelbrot fractals page
18 Jan 2017  9:45 amA Julia dendriteA few years back, I posted about generating my first image of a Mandelbrot set using Processing. I decided to do it again, mostly to get some more JavaScript practice. So now a page that generates some Mandelbrot and Julia set fractals is available here.AnotherJulia set fractalThe fractals are generated almost exactly as described in that earlier post. The only difference is the JavasScript and HTML infrastructure. Source is here for the curious. 
life lessons from a knight's tour
23 Dec 2016  6:46 amPlease check out these interactive puzzles: kixote (knight's tour) puzzles, and hidato (king's tour) puzzles.Both are based on the idea of a solitary chess piece roaming around an otherwise empty board. A "tour" is completed if the piece touches every square exactly once.Solving these puzzles involvesrevealing the hidden steps in the correct order to complete the tour. For example, in the kixote puzzle below, the first step in the tour is highlighted.We need to find the second step in this tour. Based on how knights move, there are two options: the cell to the right of 19, and the cell to the left of 57. Looking at where the third step is (third cell down in the last column), we realise that the cell next... 
polynomial grid division examples
29 Nov 2016  9:35 amThere are not enough examples of polynomial division using the grid method out there. To remedy that, I have posted about 100 billion examples for your viewing pleasure. Please check ‘em out: https://dmackinnon1.github.io/polygrid/Jokes aside, I was looking for a small JavaScript project, and this one looked like it would be fun. It was, and I learned a few things by building it. The page will generate a small number of examples, but you can get a fresh batch by reloading. Each example is calculated on the fly, and rendered using MathJax. Currently, the displayed calculations look like this:About half the time the examples have remainders, and the calculations vary in length and complexity in no...



MathFour

What Kind of Math Book are You?
14 Feb 2017  8:42 amYou’ve seen the quizzes for just about every “what kind of…” Now there’s a quiz tailored to the math educators. Enjoy! A big thanks to TryInteract.com for sharing a complementary super version of their quiz maker. The post What Kind of Math Book are You? appeared first on MathFour. 
Think Fun’s Rush Hour Is Enjoyable for the Very Young
2 Feb 2017  2:30 amThis is part of Wordless Wednesday and Throwback Thursday … Rush Hour is a game of logic and skill. The colorful cars are fun for other things too. The object of the game is to move the cars and let the target car “escape.” But at 4 years old, K8 was happy to figure out how to fit all the cars in the game board. Get a copy of Think Fun’s Rush Hour – it’s a noscreen, single player logic game that appeals to girls and boys alike! You might also like: <ul> <li>Rush Hour Traffic Jam Game – Low & High Tech</li> <li>The Tower of Hanoi Math Game</li> <li>Hanukkah Math – Playing the Dreidel Game</li> <li>Chutes and Ladders – It’s a Math Game!</li> </ul> The post Think Fun’s Rush Hour Is Enjoyable for the Very Young appeared first on... 
Marathon Math – The Math Behind the Houston Marathon
14 Jan 2017  6:15 pmTomorrow I attempt to finish my first marathon. There’s a 6 hour limit to finish, which makes me think about the math behind the marathon! Assuming I run a steady 13:45 minute/mile pace for the whole 26.2 miles, I’ll finish exactly in the 6 hour time limit. But of course my pace will vary. I’ll be faster at first. And I’ll likely want to crawl across the finish line. So how fast do I need to go at the beginning so I can go as slow as possible at the end? I’ll start the marathon fast. Without a backpack (which I wear running to work), I can do about a 10:30 minute/mile pace. So here’s the math problem: If my first mile is at 10:30 and my last mile averages with the first to be 13:45, what will my last mile... 
I’m the New Secretary of Education
11 Oct 2016  5:01 amToday’s Breakfast Club 5:30 tweet chat topic is, “The new President appoints you Sec. of Education. What’s the first thing you do?” As a “I’m queen of the world,” question, it’s easy. I’d quadruple the salaries of teachers. As a “this is real” question, it’s not so easy. Because I’d have to figure out the budgetary requirements for quadrupling the salaries of teachers. Regardless, I think the extreme salary bump could do the trick. Teacher Salaries x 4 Why I think it will work… I know that teacher salaries in other (more successful) countries is super high. Higher than engineers, for instance. Which gives us indication that it may work. Apart from that, let’s consider what happens... 
Remembering Great Teachers
24 Aug 2016  12:10 pmI cried this morning. Kate is attending her last day of Kindergarten. That’s typical, right? My baby is growing up. I’m sensitive. But that’s not it at all. I’m going to miss her teachers so much! What makes good teachers? That’s a tough question. When I try to answer it, I rewind to all the good (and great) teachers I’ve had through the years. I’ve integrated a piece of each of them into my own teaching style: Miss Soap – 4th grade – taught us a standingatyourdesk dance to the Copa Cabana. From her I learned that being a freakish fan about people like Barry Manilow and Earl Campbell gets you remembered. (I’m a freakish fan of Weird Al and Matt Mullenweg. And I still sing and dance in...



Motion Math

Motion Math is now live on the web!
23 Feb 2017  11:53 am“Can my students play Motion Math on Chromebooks?” That’s the most common question we’ve been asked over the years by teachers. Well, that and “How do you make... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
Promoting a Growth Mindset Through Personalized Mindset Coaching
30 Nov 2016  6:20 amMotion Math’s company mission is to help children find delight in intellectual challenge. When children learn to love the experience of struggling through frustration and confusion,... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
Factors of Learning – a new tool for personalization
20 Oct 2016  11:43 amWe’re excited to announce a new tool in the Motion Math teacher dashboard – Factors of Learning. This new report offers innovative data to help you build a student’s learning mindset – a... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
New game content…update your apps!
22 Sep 2016  10:38 amWe’re encouraging all Motion Math subscribers to update your apps, or politely ask your local IT guru to do so. (Even better, turn on “Automatic app updates” on your iPads.) Why?... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
The Loan Shark
22 Sep 2016  10:00 amWe’ve just added a new feature to the latest version of our economics simulation game Cupcake: the loan shark. Loans and debt are a significant economic and lifeskill issue worth discussing with... [[ This is a content summary only. Visit my website for full links, other content, and more! ]]



Math for all Grade blog

Feb 22, Math for all Grade blog
22 Feb 2017  1:34 amThe Mathforallgrades Blog keeps you uptodate with all additions and changes to the Mathforallgrades.com Web site. Subscribe here 
Feb 22, EBooks
22 Feb 2017  12:35 amEBooks 
Oct 22, Factoring Trinomials
22 Oct 2016  6:22 amfactoring trinomials which are perfect square trinomial and others. 
Jul 30, Math Help
30 Jul 2016  12:43 amMathhelp 
Jul 30, geometry problems
30 Jul 2016  12:43 amgeometry problems in angles, triangles, circles, quadrilaterals, three dimensional shapes.



MIND Research Institute Blog

Profiles in Success: Pickerington Schools Move From Traditional to "Tradigital" Math Classrooms
22 Feb 2017  9:00 amPickerington Schools in Ohio has over 10,000 students and a notable 96.5% graduation rate. This highachieving district takes pride in prioritizing student engagement and enthusiasm for learning. Embracing technology as the best frontier for education innovation, they set the goal to develop a unique blended learning approach that challenged and motivated both teachers and students: the "Tradigital Learning Plan." "ST Math has really helped us move away from the teacherled classroom to the studentdriven. The mindset that it's okay for kids to fail or struggle, and not to try to jump in as the teacher to save the day  this change is happening.” Brian Seymour, Director of Instructional... 
Beyond Devices, This Telecom Giant Delivers Educational Equity
21 Feb 2017  9:00 amVerizon’s Innovative Learning Schools program aims to bring equity to schools where most families cannot afford educational technology. The initiative provides every student in the school a tablet equipped with wireless service and preloaded with digital learningapps (including, at some schools, ST Math). The students take the tabletshome, giving them 24/7/365 access to learning resources. Michelle Joseph, a former high school teacher, now manages the Verizon Foundation’s healthcare and education programs, including the Verizon Innovative Learning Schools. We recently chatted with Michelle about the role of technology in the classroom and why Verizon is helping schools get 1:1 devices. The... 
See GameBased Learning In Action at Pinellas
16 Feb 2017  11:11 amSomethingspecial is going on withmath education at Pinellas County Schools (PCS). Localpublic radio picked up this story: It’s family game night at Davis Elementary School in Clearwater, but there's not a Monopoly board or a Jenga block in sight. Instead, kids and parents are playing math games. First grader Eleanor Nartker places a purple marble inside a diagram so she can complete a pattern. It's a little bit like TicTacToe, and she just made a bold move against her opponent, who happens to be her mom. WUSF Public Mediacaptured the experience of families attendingFamily Math Night events held at five elementary schools in Pinellas School District, Fl. You can listen to the radio... 
Hidden Digital Spaces Where Innovation in Education is Brewing
9 Feb 2017  9:17 amIn the 21st century, educators are no longer bound to the limits of geographic location for professional development opportunities. Forwardthinking educators across the country, and even the world, are sharing best practices, proposing creative ideas and refining innovative solutionsand these collaborations are happening in digital spaces. What I love about these communities is that there are no wrong questions or answers, and no traditional practice is upheld just “because we’ve always done it that way.” These pioneers are assessing every aspect of their classroom and school. They understand that to have impactful change in student achievement requires impactful change in instructional design... 
Breaking the Status Quo to Create the Next Generation of Math Superheroes
31 Jan 2017  10:55 amLast week, over one hundrededucation administrators and educatorsjoined us for the Deeper Learning Symposium in Irvine, Calif. In addition to sharing information from some amazing leaders in education, we dove deep into immersive, handson experiences that challenge our current notion of what innovative learning looks like. At MIND Research Institute, wewant to change the current models of learning math to provide students with opportunities to experience deeper learning.We started the symposium by inviting attendees to attendmath class through the eyes of a student. By illuminating the juxaposition between the curriculum status quo and instructional innovation, attendees experienced what math class...



Ash Tutors

10 ways to organise family life using Evernote
14 Feb 2017  7:33 amRead Time : 6.2 minutes So what exactly is Evernote? Well, some people will tell you that this tool is their digital brain! Others will tell you it's a cloudbased software tool which will keep all of your important things and store them in the cloud instead of locally on your mobile device or laptop (it can do that too of course).For both the professional and the casual, personal user Evernote is one of the best tools to help you stay organised. It will most certainly change the way you organise your personal daytoday projects as well as business projects. Once you start with Evernote, you will probably find... 
Things to do in London during the half term
6 Feb 2017  3:15 amRead Time: 6.7 minutes Planning a trip to London with the kids during half term? Take a look at these 10 top places to visit, all of them are FREE with the exception of the HMS Belfast. However, there is a 2 for 1 offer available if you travel to London by train. I promise you, these places will keep the whole family entertained come rain or shine. Please do check the official websites for opening hours as some of these attractions are not open every day. Download a PDF of this post here ==> On a personal note, I do have three favourite places that I can easily visit time and time again when I am in... 
10 Tips for Stressfree Homework
1 Feb 2017  4:43 amChild anxiety? What about their parents?! Read Time: 3.8 mins. Do you have a tendency to hide when you see your children coming home from school with a bag full of homework? Rest assured you are in good company because it's a wellestablished fact that most parents dread homework nearly as much as children dislike it. Here are 10 simple tips and suggestions to help relieve the anguish of homework which you may not have thought of before. These suggestions will help establish a routine and make homework a positive experience. (For the whole family!) 
Fun activities for a rainy day
10 Jan 2017  5:50 amRead Time: 5.6 mins So it's raining cats and dogs and the kids are getting bored, and worse still it's only 10 in the morning! When the weather forecast is bleak, turn the day into an adventure with these fun family activities and games for a rainy day.Set up a camp site indoorsCreate your own indoor camp site with small pop up tents if you have them, otherwise make your own tents from sheets and blankets draped over furniture. Make the inside of the tents cosy and comfortable with sleeping bags, pillows and cushions. If you happen to have any battery operated tree lights, hang these in the tent(s) too. Finish this activity with an indoor picnic.Treasure huntKeep the family entertained with a... 
How to get your children to do some chores!
10 Jan 2017  5:49 amRead Time: 2.9 minsDoes this sound familiar? ''I'll do it later!'' or ''My friends don't have to. Why do I?''Research shows "Children given household chores at an early age have higher selfesteem, are more responsible and have more selfreliant." HOORAY!However, as us parents know only too well, motivating or persuading achild to do a simple household chore can be a chore in itself, and often a 'nagging' scenario develops.So instead of the children using some clever delaying tactics, let's find some ways to make daily chores entertaining and fun.
