The academic year began, but about 40% of freshman places in higher education institutions  state and private  are vacant. This shows a report by the Ministry of Education on the implementation plan in late September.


Most Popular Stories

40% of the Places in the Higher Education Institutions in Bulgaria Remain Vacant
Search for "math OR mathematics"23 Oct 2017  5:28 am 
Household Chores for Mathematicians
Scientific American  Math21 Oct 2017  2:00 pmNeed a babysitter? Ask a combinatorialist. Baseboards dirty? A number theorist won't mind cleaning them. And other highly scientific recommendations for mathematicians to handle the housework  Read more on ScientificAmerican.com 
Who Invented ‘Zero’?
Mathematics7 Oct 2017  12:30 pmThe void is as old as time, but it was a human innovation to harness it with a symbol. 
The Key to Keeping Students (and Teachers) Motivated
Blog – DreamBox Learning5 Oct 2017  5:00 amAs educators, we’re always looking for new ways to keep our students engaged. In a world where there are so many distractions and competing messages, it’s a constant struggle to capture attention and keep our kids focused, let alone fascinated. A few of us at DreamBox recently brainstormed ways to get and keep students motivated, and as we compiled our best hacks we came to an obvious but often overlooked observation: what’s good for elementary school students is often good for learners of all ages—including teachers. We’ve quoted it here before, but insights from a recent Gates… 
Loren’s Excellent Adventure: Maps, Graphs, and Polygons
Loren on the Art of MATLAB12 Oct 2017  4:21 amR2017b was released recently. Today's guest blogger, Matt Tearle, discovered a fun application of one of the many new features  solving a mapbased puzzle.ContentsA traveling MathWorker problemEnter MATLABProblem: who is my neighbor?Solution: the fat of the landVisualizing the resultsWhere to next?A traveling MathWorker problem"Car Talk" recently featured a brain teaser submitted by a former MathWorker. The short, slightly modified version is: Loren has to drive from Delaware to every state in the contiguous US, visiting each state exactly once; Loren's boss  let's call him Jack  offers to…




Search for "math OR mathematics"

40% of the Places in the Higher Education Institutions in Bulgaria Remain Vacant
23 Oct 2017  5:28 amThe academic year began, but about 40% of freshman places in higher education institutions  state and private  are vacant. This shows a report by the Ministry of Education on the implementation plan in late September. 
Engineering Change: New ABET Issue Brief
23 Oct 2017  5:21 amTo keep pace with rapid change, engineering programs in colleges and universities across the country are blurring the lines between class and career and increasing access to handson learning. In a new paper, ABET provides a glimpse into best practices within engineering programs and the benefits that have been realized. 
Inventor Develops Challenging Mathematical Puzzle Game
23 Oct 2017  5:17 am"I enjoy math and numbers and challenging games," said an inventor from Twin Falls, Idaho. "I decided to use my love for all these things and designed my own game that is both entertaining and intellectually stimulating." 
Rising interest rates put many in B.C. on edge of bankruptcy
23 Oct 2017  5:08 amA new survey about debt shows a rising number of people would be in trouble if interest rates rise again, according to MNP debt. A new survey that shows rising interest rates are pushing many British Columbians to the edge of a financial cliff comes as little surprise to Kim Mulders. 
Fitidis comes third at African Rally Championships
23 Oct 2017  5:06 amFitidis, 65, is the third Ugandan to finish on the ARC Podium, others being Charles Muhangi, who won it in 1999 and Jas Mangat, who finished second in 2013 Uganda's Christakis Fitidis finished sixth in the Zambia International rally to finish third overall on the Africa Rally Championship . Fitidis, 65, is the third Ugandan to finish on the ARC Podium, others being Charles Muhangi, who won it in 1999 and Jas Mangat, who finished second in 2013 behind winner Jassy Singh of Zambia.



Scientific American  Math

Household Chores for Mathematicians
21 Oct 2017  2:00 pmNeed a babysitter? Ask a combinatorialist. Baseboards dirty? A number theorist won't mind cleaning them. And other highly scientific recommendations for mathematicians to handle the housework  Read more on ScientificAmerican.com 
Which Sounds Better, Analog or Digital Music?
11 Oct 2017  4:00 amThe answer is subjective, but the underlying math is not  Read more on ScientificAmerican.com 
Dusa McDuff's Favorite Theorem
7 Oct 2017  1:00 pmDusa McDuffexplains why she loves the nonsqueezing theorem—and what vegetable she'd pair it with  Read more on ScientificAmerican.com 
A Few of My Favorite Spaces: The 1Dimensional Sphere
7 Oct 2017  7:00 amThere’s more to the circle than meets the π  Read more on ScientificAmerican.com 
Why History Should Matter to Code Breakers
2 Oct 2017  4:00 amQuantum cryptography may be the leading edge of encryption, but manycriminals and terroristsuse centuriesold ciphers  Read more on ScientificAmerican.com



Mathematics

Who Invented ‘Zero’?
7 Oct 2017  12:30 pmThe void is as old as time, but it was a human innovation to harness it with a symbol. 
Vladimir Voevodsky, Revolutionary Mathematician, Dies at 51
6 Oct 2017  10:02 amA oncerestless student who flunked out of college went on to found entirely new fields of mathematics. “He has given us a new constitution,” a colleague said. 
Hints of Trigonometry on a 3,700YearOld Babylonian Tablet
29 Aug 2017  11:44 amScholars have debated for decades the purpose of 60 numbers written on a small clay tablet. Two Australian mathematicians believe they have figured it out. 
Cathleen Morawetz, Mathematician With RealWorld Impact, Dies at 94
11 Aug 2017  11:50 amIn one case, Dr. Morawetz’s work helped aerospace engineers minimize shock waves around the wings of airplanes flying below the speed of sound. 
With Snowflakes and Unicorns, Marina Ratner and Maryam Mirzakhani Explored a Universe in Motion
7 Aug 2017  1:57 pmThe legacies and achievements of two great mathematicians will dazzle and intrigue scholars for decades.



Blog – DreamBox Learning

The Key to Keeping Students (and Teachers) Motivated
5 Oct 2017  5:00 amAs educators, we’re always looking for new ways to keep our students engaged. In a world where there are so many distractions and competing messages, it’s a constant struggle to capture attention and keep our kids focused, let alone fascinated. A few of us at DreamBox recently brainstormed ways to get and keep students motivated, and as we compiled our best hacks we came to an obvious but often overlooked observation: what’s good for elementary school students is often good for learners of all ages—including teachers. We’ve quoted it here before, but insights from a recent Gates Foundation Study bear repeating. The vast majority of teachers surveyed said they weren’t satisfied with current... 
The DreamBox 2017 Fall Math Challenge Kicks off October 30th!
3 Oct 2017  5:00 amBefore you get all wrapped up in your Halloween plans, be sure to mark your calendar for the Fall Math Challenge. This year, we kick things off the day before Halloween, so that means many of your students (and you) may actually be competing in costume. The thought of 5,000+ kids diligently logging DreamBox time dressed as their favorite heroes, villains, monsters, and more brings serious joy to our hearts. When the time comes, we encourage you to make everybody’s day and share your pictures on social media with #DBLChallenge. In the meantime, let’s get you registered! This fall, registration is easier than ever Starting Friday October 6th, you can register your classroom(s) to participate in the... 
Creating Meaningful HometoSchool Connections
29 Sep 2017  5:00 am“FoMO” is officially a word now, at least according to the good folks at Miriam Webster. For those who don’t know what it means, it’s sort of social media shorthand for a 21st century phenomenon known as “fear of missing out.” If you’re the parent or guardian of a K8 student, don’t worry about it. You’re too busy to experience FoMO. But, you may suffer from something far more diabolical: FoMA. You won’t find FoMA in the dictionary (yet), because we just we made it up. But that doesn’t mean you don’t have it. FoMA is fear of math assignments. It’s that paralyzing anxiety that parents and guardians of elementary schoolaged children experience when their kids ask for help with their... 
Motivating Kids to Persist, Progress, and Achieve Success
26 Sep 2017  5:00 amI don’t always hit my daily 10,000 steps goal, but when I do the tracker on my wrist vibrates and I’m treated to a pixilated firework display. In hindsight, it’s not much of a reward for literally going the extra mile—still, it’s motivating. I’m not embarrassed to say I recently paced a 200square foot hotel room for several minutes at the end of the day just to make my Fitbit buzz. Okay, I’m a little embarrassed. But, taking one step at a time, tracking your progress, and celebrating wins (no matter how small) is key to achieving your goals. As human beings, we’re hardwired to respond to positive reinforcement. With every step tracked and every earned firework display, our brains release... 
DreamBox is Headed to Orlando for the iNACOL Symposium 2017
21 Sep 2017  5:00 amAbout a month from now, my DreamBox colleagues and I will be packing our bags for iNACOL’s annual conference, and we hope to meet you there. Right now, it appears as though our destination in Orlando was spared the brunt of Hurricane Irma’s wrath and will be ready to welcome the Symposium’s expected 3,000+ attendees for three insightpacked days featuring preconference workshops, inspiring keynotes, and more than 150 informative sessions. In addition to being an Emerald Sponsor of the event, DreamBox will also host a booth in the Exhibit Hall, and present three mustsee sessions closely aligned with this year’s theme: “Personalizing Learning: Equity, Access, Quality.” If you’re planning to...



Loren on the Art of MATLAB

Loren’s Excellent Adventure: Maps, Graphs, and Polygons
12 Oct 2017  4:21 amR2017b was released recently. Today's guest blogger, Matt Tearle, discovered a fun application of one of the many new features  solving a mapbased puzzle.Contents<ul><li>A traveling MathWorker problem</li><li>Enter MATLAB</li><li>Problem: who is my neighbor?</li><li>Solution: the fat of the land</li><li>Visualizing the results</li><li>Where to next?</li></ul>A traveling MathWorker problem"Car Talk" recently featured a brain teaser submitted by a former MathWorker. The short, slightly modified version is: Loren has to drive from Delaware to every state in the contiguous US, visiting each state exactly once; Loren's boss  let's call him Jack  offers to meet her in the last state, which turns out to be his birthplace; but how can Jack know what the last state will be,... 
Math with Words – Word Embeddings with MATLAB and Text Analytics Toolbox
21 Sep 2017  6:32 amText data has become an important part of data analytics, thanks to advances in natural language processing that transform unstructured text into meaningful data. The new Text Analytics Toolbox provides tools to process and analyze text data in MATLAB.Today's guest blogger, Toshi Takeuchi introduces some cool features available in the new toolbox, starting with word embeddings. Check out how he uses sentiment analysis to find good AirBnB locations to stay in Boston! Contents<ul><li>What is a Word Embedding?</li><li>Ingredients</li><li>Loading a PreTrained Word Embedding from GloVe</li><li>Vector Math Example</li><li>Visualizing the Word Embedding</li><li>Using Word Embeddings for Sentiment Analysis</li><li>Word Embeddings Meet Machine Learning</li><li>Prepare Data for...</li></ul> 
MATLAB and the 2017 Eclipse – Part 4: Imaging the Eclipse
29 Aug 2017  3:57 amToday our guest blogger, David Garrison, will continue his series on MathWorks involvement in the 2017 solar eclipse.<ul><li>Part 1: The Citizen CATE Experiment</li><li>Part 2: Training the Volunteers</li><li>Part 3: Rehearsing for the Eclipse</li><li>Part 4: Imaging the Eclipse</li></ul>Here is Part 4 of the Series.Contents<ul><li>Recap of Parts 1  3</li><li>Getting Ready for the Eclipse</li><li>The Partial Phase</li><li>Totality</li><li>Any Questions?</li></ul>Recap of Parts 1  3In Part 1 of this series, I discussed MathWorks participation in the Citizen CATE Experiment  a citizen science project to image the 2017 solar eclipse. In Part 2 of this series, I described the volunteers, the equipment they will be using, and how they are being trained. In Part 3 of this series, I talked about how the... 
Ways to Perform Calculations on Groups of Data in Tables
9 Aug 2017  6:38 amToday I'd like to introduce a guest blogger, Stephen Doe, who works for the MATLAB Documentation team here at MathWorks. Stephen will discuss different methods for grouping data, and performing calculations on those groups, using Tables.Contents<ul><li>Create Table</li><li>Perform Calculation on Each Numeric Variable</li><li>Perform Calculation on Groups in Numeric Variables</li><li>Multiple Variables as Input Arguments to Function</li><li>Use Groups in Multiple Calculations and Tabulate Results</li><li>Perform Calculations on Tall Table</li><li>Turning the Tables on You</li></ul>Create TableTables are convenient containers for columnoriented data. The variables in a table can have different data types, but must have the same number of rows. You can access table data by row,... 
MATLAB and the 2017 Eclipse – Part 3: Rehearsing for the Eclipse
26 Jul 2017  4:32 amToday our guest blogger, David Garrison, will continue his series on MathWorks involvement in the 2017 solar eclipse.<ul><li>Part 1: The Citizen CATE Experiment</li><li>Part 2: Training the Volunteers</li><li>Part 3: Rehearsing for the Eclipse</li><li>Part 4: Imaging the Eclipse</li></ul>Here is Part 3 of the Series.Contents<ul><li>Recap of Parts 1 & 2</li><li>Rehearsing for the Eclipse</li><li>The MATLAB Solar Eclipse App</li><li>What Will Happen During Totality</li><li>After Totality</li><li>Any Questions?</li><li>Next Up: Imaging the Eclipse</li></ul>Recap of Parts 1 & 2In Part 1 of this series, I discussed MathWorks participation in the Citizen CATE Experiment  a citizen science project to image the 2017 solar eclipse. In Part 2 of this series, I described the volunteers, the equipment they will be using, and how...



Homeschool Math Blog

Four principles of deeply effective math teaching
9 Oct 2017  5:42 amI went through and thoroughly updated this article of mine... have you read it in the past?Four basic principles of deeply effective math teachingIf you were asked what were the most important principles in mathematics teaching, what would you say? I wasn't really asked, but I started thinking, and came up with these basic habits or principles that can keep your math teaching on the right track.Principle 1: Let It Make SensePrinciple 2: Remember the GoalsPrinciple 3: Know Your ToolsPrinciple 4: Living and Loving Math 
Play With Your Math puzzles
2 Oct 2017  9:13 amAn intriguing website.... problems, but not solutions (not that I can see... but maybe, if you subscribe to get email updates, you'd get the solutions?)https://playwithyourmath.com/Their idea is,We take problems that we love, and we adapt them so that everyone (and anyone) can play. We design posters and handouts that hook you visually and explain the problem in just enough words. The problems that we’ve picked require trying, struggling, failing, adjusting, and trying again until, finally, a discovery is made.I definitely agree... that's what TRUE problem solving is all about! Doing it with math can prepare students for REAL LIFE, where often, the problems they will be facing at the workplace will NOT... 
Tower of Babel and spiritual languages
27 Sep 2017  1:48 pmI invite you to enjoy this Bible study about the tower of Babel, the division of languages there — AND the picture it gives us of SPIRITUAL languages today. 
Math Mammoth printed books sale!
12 Sep 2017  2:03 pmFrom September 12 till September 18, 2017, get Math Mammoth printed books at 20% off atRainbow Resource Center. :) 
Math Mammoth Skills Review Workbooks
11 Sep 2017  8:59 amHere are some totally NEW Math Mammoth products!Math Mammoth skills review workbooks have been designed to complement the lessons in Math Mammoth complete curriculum (Light Blue series). These books are designed to provide a spiral review of the concepts in the curriculum, and to be used during the school year, alongside the main curriculum. After a concept or skill has been studied in the main curriculum, it is then reviewed repeatedly over time in several different worksheets of the workbook. Each book contains 70100 worksheets, and is divided into chapters, according to the corresponding chapters in the Math Mammoth curriculum. Each worksheet is designed to be one page, and includes a variety of...



Denise Gaskins' Let's Play Math

Education Bloggers: Share Your Post!
16 Oct 2017  5:06 am[Image by Omar Omar (CC BY 2.0) via Flickr.] If you are a homeschooler or classroom teacher, student or independent learner, or anyone else who writes about math, now is the time to send in your favorite blog post for next week’s Math Teachers at Play (MTaP) math education blog carnival. Click here to submit your blog post Have you noticed a new math blogger on your block that you’d like to introduce to the rest of us? Feel free to submit another blogger’s post in addition to your own. Beginning bloggers are often shy about sharing, but like all of us, they love finding new readers. Don’t procrastinate: The deadline for entries is this Friday, October 20. The carnival will be posted next week at... 
How You Can Play with Math #112 at Find the Factors
2 Oct 2017  8:03 amCheck out the new playful math blog carnival at Find the Factors blog. Iva put together a great collection of math games, activities, and teaching tips: <ul> <li>896÷8=112. Math Teachers, It’s Carnival Time!</li> </ul> The carnival features comics, literature, talking with kids, favorite numbers, classroom management, a bulletin board that actually gets read, and plenty of math art. Along with several fantastic math puzzles to explore. Click here to go read the carnival blog And if you’re a blogger, be sure to submit your blog post for next month’s carnival! 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... 
How to Succeed in Math: AnswerGetting vs. ProblemSolving
21 Sep 2017  4:53 amYou want your child to succeed in math because it opens so many doors in the future. But kids have a shortterm perspective. They don’t really care about the future. They care about getting through tonight’s homework and moving on to something more interesting. So how can you help your child learn math? When kids face a difficult math problem, their attitude can make all the difference. Not so much their “I hate homework!” attitude, but their mathematical worldview. Does your child see math as answergetting? Or as problemsolving? Answergetting asks “What is the answer?”, decides whether it is right, and then goes on to the next question. Problemsolving asks “Why do you say that?” and listens... 
Do You Blog About Math?
17 Sep 2017  11:20 pmby 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 Friday, September 22. The carnival will be posted next week at Find the Factors blog. Would You Like to Host the Carnival? Hosting the blog carnival... 
How You Can Play with Math #111 at High Heels and No. 2 Pencils
30 Aug 2017  3:12 pmCheck out the new carnival of playful math for all ages! <ul> <li>Math Teachers At Play: Blog Carnival Edition #111</li> </ul> Each carnival brings you a great new collection of puzzles, math conversations, crafts, teaching tips, and all sorts of mathy fun. This month we have math puzzles for bedtime, number talks for students of all ages, and play tables for high school students. And more! Click Here to Read the Carnival Blog Hey, Blogger, Can You Spare a Time? We need help! Do you write an education or family blog? Classroom teacher, math coach, homeschooler, parent, college professor, unschooler — anyone interested in helping kids play around with math? Please consider volunteering to host the MTaP blog carnival for...



Computational Complexity

The Amazon Gold Rush
19 Oct 2017  6:15 amUnless you have hidden under a rock, you've heard that Amazon wants to build a second headquarters in or near a large North American city. Amazon put out a nice old fashioned RFP. Please provide an electronic copy and five (5) hard copies of your responses by October 19, 2017 to amazonhq2@amazon.com. Please send hard copies marked “confidential” between the dates of October 16th – 19th to ... Hard copies? Just like the conference submissions of old. Key considerations for Amazon: A good site, local incentives, highly education labor pool and strong university system, near major highways and airports, cultural community fit and quality of life. I've seen companies put subsidiaries in other cities,... 
Reductions between formal languages
16 Oct 2017  8:59 amLet EQ = {w : number of a's = number of b's } Let EQO = { anbn : n ∈ N} (so its Equal and in Order) Typically we do the following: Prove EQO is not regular by the pumping lemma. Then to show EQ is not regular you say: If EQ was regular than EQ INTERSECT a*b*= EQO is regular, hence EQ is not regular (I know you can also show EQ with the Pumping Lemma but thats not important now.) One can view this as a reduction: A ≤ B If one can take B, apply a finite sequence of closure operations (e.g., intersect with a regular lang, complement, replace all a with aba, replace all a with e (empty string), ) and get A. If A is not regular and A≤ B then B is not regular. Note that EQO ≤ EQ ≤... 
Lessons from the Nobel Prizes
12 Oct 2017  5:52 amWe've had a big week of awards with the Nobel Prizes and the MacArthur "Genius" Fellows. The MacArthur Fellows include two computer scientists,Regina Barzilayand Stefan Savage, and a statisticianEmmanuel Candèsbut no theoretical computer scientists this year. No computer scientists among the Nobel Laureates either but technology played a large role in the chemistry and physics prize. The chemistry prize went for a fancy microscope that could determine biomolecular structure. The LIGO project that measures extremely weak gravitational waves received thephysics prize. In a sign of the times, Jeffrey Hall, one of the medical prize recipients, left science due to lack of funding. The economics... 
Michael Cohen
9 Oct 2017  9:14 amWhen I first saw posts about Michael Cohen (see here, here, here) I wondered is that the same Michael Cohen who I knew as a HS student? It is. I share one memory. Michael Cohen's father is Tom Cohen, a physics professor at UMCP. They were going to a Blair High School Science fair and I got a ride to it (I had some students presenting at it.) In the car with Tom and Michael, Michael began telling is dad that his dad's proofs were not rigorous enough. I was touched by the notion that father and son could even have such a conversation. Were Tom's proofs rigorous? I suspect that for Physics they were. But the fact that Michael could, as a high school student, read his dad's paper and have an opinion on... 
Is the Textbook Market doomed?
5 Oct 2017  10:35 amSTORY ONE: I always tell my class that its OKAY if they don't have the latest edition of the textbook, and if they can find it a cheap, an earlier edition (often on Amazon, sometimes on ebay), that's fine. A while back at the beginning of a semester I was curious if the book really did have many cheap editions so I typed in the books name. I found a free pdf copy as the fourth hit. This was NOT on some corner of the dark web. This was easy to find and free. There were a few things not quite right about it, but it was clearly fine to use for the class. I wanted to post this information on the class website but my coteacher was worried we might get in trouble for it, and he pointed out that the students...



Natural Blogarithms

How a computer works – Security Now
15 Oct 2017  5:02 pmI’ve spent most of my lifetime fascinated by the fact that my computers work at all. I have often told the story of the day I was able to get my first program to run and how that day competes for the title of the “greatest day of my life.” Certainly, the wedding and the birth of the children win, but it’s a close followup. I’m a subscriber to several podcasts from the Twit network (Leo Laporte), but my favorite is the geekiest of that network, Steve Gibson’s Security Now. I’m not a security expert, but a wannabe. I’ve listened to the podcast since its earliest days (started in its first couple years but not first episode). I’m not a diehard fan who’s listened to every one of them, but probably... 
Mathematics and 3D Printing
16 Sep 2017  3:23 pmFrom the upcoming Fall 2017 School of Mathematics and Sciences Newsletter: The Dean has a new hobby and, as a result, a whole lot of new toys. The School of Math and Sciences has entered the world of 3D printing by acquiring a new Cartesianmodel 3D printer. The Monoprice Maker Select V2 is a hobbyist’s dream, but it also has great potential for classroom use as well as in our research programs. Thanks to a large online community of “makers,” and a particularly large user base for this particular model, the Maker Select is ideal for small projects at low cost. The original goals of having a 3D printer in the school centered on being able to create manipulatives to visualize concepts in three... 
How to Print to PDF on your iPhone or iPad
25 Jul 2017  2:40 pmThis howto is based on iOS 10 and I only just discovered this feature, in spite of having looked for it many times over. Whether from a website or from a word processing app or just about anywhere, I’ve always wanted to be able to print to PDF on my iOS devices. It seemed only natural that Apple would make something like this available when you print from your device. When you go to the share icon and choose to print, shouldn’t one of your options be to select a PDF printer? But, alas, you can only select an AirPrint enabled printer on your network. Well, I have GOOD NEWS! The capability is there and has been there all along. Here’s what you do: <ol> <li>Go to any app that is printenabled and select to print....</li></ol> 
Is it a core requirement or just an elective?
11 Nov 2016  6:00 amThis week of Creation Care emphasis has coincided with a very busy time of the semester on the Plainview campus. We are in the first week of early registration for the Spring term which means faculty and students alike are pouring over course schedules and degree plans. As a result, my mind has unavoidably conflated the two. As I listened to Rachel Lamb’s message in chapel on Wednesday, I was challenged in a new way regarding the role of Creation Care in my daily walk with Christ. It was several years ago when we first began our Creation Care emphasis week at Wayland that I first made the connection between caring for the environment and my duty as a Christian to be a steward of God’s creation. ... 
Why I do what I do
24 Jun 2016  4:30 amAs I glance back over the previous post where I listed out those questions I intend to tackle here, openly on my blog, I noticed a somewhat glaring omission. There are no “Why?” questions, not even the most important one: Why do I do what I do? My life has taking only a small number of twists and turns. In fact, it almost seems as though I have been on track for this current career path ever since I decided to add a mathematics major my second year of college. For those that do not know, I first shopped for colleges based on my intent to enter fulltime vocational ministry. I found Wayland to be that place where there was the greatest personal attention and interest in my own personal success. Some...



The Math Less Traveled

Four formats for Fermat
14 Oct 2017  11:35 amIn my previous post I mentioned Fermat’s Little Theorem, a beautiful, fundamental result in number theory that underlies lots of things like publickey cryptography and primality testing. (It’s called “little” to distinguish it from his (in)famous Last Theorem.) There are several different forms in which it is commonly presented, so I wanted to start by introducing them and showing how they are related. Statement 1 Let’s start with the statement that looks the least general: If is prime and is an integer where , then . (Recall that means that and have the same remainder when you divide them by .) For example, is prime, and we can check that for each , if you raise to the th power, you get... 
New baby, and primality testing
30 Sep 2017  1:12 pmI have neglected writing on this blog for a while, and here is why: Yes, there is a new small human in my house! So I won’t be writing here regularly for the near future, but do hope to still write occasionally as the mood and opportunity strikes. Recently I realized that I really didn’t know much of anything about fast primality testing algorithms. Of course, I have written about the LucasLehmer test, but that is a specialpurpose algorithm for testing primality of numbers with a very special form. So I have learned about a few generalpurpose primality tests, including the RabinMiller test and the BaillePSW test. It turns out they are really fascinating, and not as hard to understand as I was... 
From primitive roots to Euclid’s orchard
26 Jul 2017  9:34 amCommenter Snowball pointed out the similarity between Euclid’s Orchard… …and this picture of primitive roots I made a year ago: At first I didn’t see the connection, but Snowball was absolutely right. Once I understood it, I made this little animation to illustrate the connection more clearly: (Some of the colors flicker a bit; I’m not sure why.) 
A few words about PWW #20
22 Jul 2017  2:08 pmA couple commenters quickly figured out what my previous post without words was about. The dots making up the image are at integer grid points , with the center at . There is a dot at if and only if and are relatively prime, that is, . Here is a slightly smaller version so it’s easier to see what is going on: I learned from Lucas A. Brown that this is sometimes known as “Euclid’s Orchard”. Imagine that there is a tall, straight tree growing from each grid point other than the origin. If you stand at the origin, then the trees you can see are exactly those at grid points with . This is because if a tree is at for some , then it is blocked from your sight by the tree at : both lie exactly... 
Post without words #20
8 Jul 2017  7:37 pm



WordPress Tag: Mathematics

Wu
23 Oct 2017  5:06 amIt is at the beginning of the early 2000’s that I started to give HipHop a lot more attention. I was reading books and magazines about the culture, as well as watching documentaries about it and listening to rap. There is something that stroke me while learning about the culture. Logos. The logos that rappers, rap groups, clothing brands and crews had been unheard of – to me. I was astonished by the aesthetics involved in HipHop’s visual identity. It was bold, filled with character, colourful, but mainly honest and authentic. It embodied HipHop. While discovering that visual universe, one of the logos hit me more than any other. WuTang Clan’s “W”. This logomark fascinated me and still... 
Libra
23 Oct 2017  4:32 am{“contentType”:”NEWS_STORY”,”id”:{“value”:”edc 
Do and Undo (Groups I)
23 Oct 2017  3:28 amGroups are mathematical games being played with letters. In the simplest version, we use just one letter (say a), and are allowed to add it to or to remove it from a word. This is the free group of one generator, or the infinite cyclic group. Clearly, this game of create and destroy needs more rules. A simple rule is to make it truly cyclic and finite by insisting that after using the letter a say 7 times, we are back where we started. This means aaaaaaa=1, which is a relief, but still not very interesting. With two letters a and b, our game expands. This Cayley graph is the dual graph of the tiling of the hyperbolic plane by ideal squares, and not accidentally so. Again we can restrict the rules of... 
Mathematics
23 Oct 2017  1:33 amThis slideshow requires JavaScript. 
MATHS BITE: Even or Odd?
23 Oct 2017  1:00 amWhat are even and odd functions? These two terms get used very frequently in order to simplify problems such as integration or when finding Fourier coefficients, for example. Even Function An even function is such that for all x in the domain f(x) = f(x) An even function is symmetric with respect to the yaxis. Even Function  mathsisfun Examples: <ul> <li>Any polynomial p, where n is even for all xn. For example f(x) = x2+2x4 – 6. Note that (x+1)2 is not even.</li> <li>f(x) = cos(x)</li> </ul> Odd Function An odd function is such that for all x in the domain f(x) = f(x) An odd function is symmetric with respect to the origin. Odd Function  mathsisfun Examples: <ul> <li>x, x3, x5,… etc. Note that unlike even functions, an expression...</li></ul>



Institute for Mathematics and Computer Science

New Geometry Course for Talented Kids
27 Sep 2017  2:00 pmThe following is an excerpt from Geometry: Incidence and Transformations, the first of three Geometry courses in the selfpaced Elements of Mathematics: Foundations (EMF) series. EMF covers PreAlgebra through Precalculus, plus several universitylevel topics, with the depth and sophisitication needed to challenge and mathematically talented children. Limited Time Offer: The first EMF course is available at 25% off regular tuition for students who enroll on or before October 31, 2017. Learn more at www.EMFmath.com. Euclid of Alexandria (fl.300 BC) In this course and the next our main focus is on Euclidean geometry. As you have undoubtedly noticed, in the preceding courses we have quite frequently... 
Coding Game Designer and Homeschool Dad on Raising Gifted Kids
24 Sep 2017  10:00 pmThe IMACS Blog reconnects with alumnus Mark Engelberg who recently released three new coding games through ThinkFun and Target. (Win an autographed copy of one of Mark's new games!) Mark's passion for computer science, math and logic led him to an awardwinning career in puzzle and game design. He is also an active speaker in the Clojure programming language community. In this post, Mark talks with IMACS about what it was like to be a homeschool dad to two amazingly talented children who are now accomplished young adults in their own right. Mark’s new //CODE Programming Game Series is available through Target. First, tell us about your new ThinkFun games. Two years ago, I invented a programming... 
IMACS Success Spotlight: RJ Antonello
7 Sep 2017  10:00 pmCongratulations to IMACS graduate RJ Antonello who is excelling in his studies at Caltech. RJ was an IMACS student from kindergarten through 12th grade and took every class IMACS offered, including all levels of Math Enrichment, Computer Enrichment, HiTech Summer Camp, UniversityLevel Computer Science, AP Computer Science: Java Programming, and UniversityLevel Logic for Mathematics. With a 5.9 GPA and 2360 on the SAT, RJ graduated as covaledictorian and was honored as a US Presidential Scholar candidate, National AP Scholar and National Merit Scholar. He and his teammates were also fourtime Science Olympiad state champions. RJ was accepted to Caltech, Georgia Tech, Carnegie Mellon, and the... 
IMACS Success Spotlight: Cori Williams
6 Sep 2017  10:00 pmCongratulations to IMACS graduate Cori Williams who is beginning her studies at Brown. Cori wanted to understand the fundamental concepts that make up the sophisticated theories of Computer Science. She started IMACS during the summer before tenth grade and went on to complete IMACS’ University Computer Science track and AP Computer Science: Java Programming course. Cori scored a 5 on the AP Computer Science A exam, 800 on the math portion of the SAT, and was named a National Merit Scholarship Finalist. Cori’s keen interest in using her knowledge to understand realworld problems inspired her to write a Naive Bayes machine learning algorithm to detect political bias in online news articles. Her paper on... 
IMACS Success Spotlight: Mason Janenda
5 Sep 2017  10:00 pmCongratulations to IMACS graduate Mason Janenda who is beginning his studies at Rice. As a young child, Mason excelled in IMACS Math Enrichment classes and, in subsequent years, attended several weeks of IMACS summer camps. He later completed IMACS’ universitylevel courses in Computer Science and Logic for Mathematics. Mason was honored by the College Board’s National Hispanic Recognition Program for his achievement on the PSAT/NMSQT, and his high school mathematical modeling team was recognized by the Consortium for Mathematics and its Applications. Mason graduated high school with a perfect 4.0 GPA and 34 on the ACT. A natural at sharing knowledge, Mason enjoys tutoring students in science and math...



mathrecreation

a Truchet puzzle mystery
3 Oct 2017  6:53 pmI thought it would be fun to create a page of Truchet puzzles, and while doing this I noticed something that surprised me: even though they were randomly generated, all puzzles of the same size had the exact same level of complexity.a single puzzle piecethat can be rotated into 4 positionsIn these puzzles, Truchet tiles like the one above are used to create a specific pattern. All the pieces are the same  it is just a question of rotating them correctly to make the pattern you are aiming for.a Truchet puzzle: can you make this patternusing only Truchet tiles?We can make these Truchet puzzles a bit more interesting if we have a specific starting arrangement, and add the restriction of using the smallest... 
a polynomial division calculator
15 Sep 2017  11:28 amMany visitors to this blog come to see the posts about dividing polynomials using the grid method (like this one). A while ago, I put up a page which generates examples that (hopefully) illustrate this method.Well, I am excited to say that the examples page has been enhanced with the addition of a simple calculator, which allows you to provide your own polynomials for dividing.This is not a sophisticated calculator  the polynomials you provide need to be in expanded form, and they have to be single variable polynomials using "x" for the variable  don't try to be fancy or tricky, please.For example, you may want to try something like this:After you provide your polynomials, hitting the calculate button... 
interactive chladni figure page
17 Jul 2017  7:45 pmA while back there were some posts about generating Chladni Figures using R scripts. These scripts generated some pretty nice images, I thought. But, to experiment a bit more it would be nice to have something interactive, so I put together this page, which you can use to make images like the one below.Adding more vibrations to the surface, you can get some pretty intricate looking patterns:If you would like to try it out, please visit: https://dmackinnon1.github.io/chladni/ (source here). 
truchet en plus
29 Apr 2017  1:10 pmSince the previous post, I have been playing around with more variations on Truchet tiles (using this page). The variety of appealing patterns that you can create from these simple tiles is impressive.the humble Truchet tileFor example, using this simple base tile you can create a pathlike effect, even to the extent that paths can seem to weave under and over each other. The patterns below use this effect to suggest links and knots.Truchet patters for two links (left) and a trefoil knot (right)Slight variations in the base tile can produce interesting effects. Here's an example that uses the traditional Truchet base tile.Bulging the dark right triangle into a quarter circle allows us create something that... 
truchet tiles
26 Mar 2017  2:13 pmA short while back, I posted about the images found in books about Froebelian kindergarten exercises, likeThe Paradise of Childhood (on Google Books here). These old books provide great examples of patterns and designs that can be easily drawn by hand with graph paper, in many cases only using arrangements of congruent 4590 triangles.Nineteenth Century Froebelian DoodlesA surprising variety of patterns can be formed by restricting things even further, considering the case where each square is cut in half along a diagonal with half of the square coloured black, the other coloured white (i.e. no blank or completely filled squares, as are found in the images above).Some arrangements of four Truchet...



Maths Tips From Maths InsiderMaths Tips From Maths Insider

Prodigy Math Game Review and How I Gave Money to a Stranger on the Internet
2 Oct 2017  6:38 amProdigy Math Game Review – Short version – I gave money to a stranger on the internet for an upgrade to Prodigy Math game, a math program that I wasn’t initially a fan of and for something that I already had the free version of. Long version – I use Life of Fred math with my home schooled 10 year old. He loves it but the delivery of our next book had been delayed. So I decided to use this as a chance to test some online math programs in the meantime. Prodigy Game being one of them. Read on for my Prodigy Math Game review! Introducing my Prodigy Math Game Review I’d heard others rave about Prodigy Math but I’m not usually a fan of gamified math, as often kids spend too much time playing inside the game and... 
5 Best Maths Exam Revision Tips for PanicFree Exams
2 Aug 2017  12:54 amI’ve invited Mark Maclaine, a London based super tutor specialising in maths, science and school admissions, to share his best maths exam revision tips for panicfree exams. To really get to grips with your maths exam revision, you’ll need to use techniques that actively help you engage with the topics. Reading through notes and copying out questions will only get you so far, so for the times when you want to try changing up your revision plan, these are my 5 best maths exam revision tips. 1. Practise past papers Working through past papers is the best way to get an understanding of the exam format and different types of questions that will come up. Remember that it’s vital you practise past papers... 
10 Awesome Lego Math Videos for Creative Kids
28 Jan 2017  5:36 amWho doesn’t love lego bricks? This simple toy appeals to kids of all ages and even holds the title of being the “world’s most powerful brand.” Certainly in my household, my kids love to build with lego bricks and I love the fact that they are using math without realising it. For a more formal approach to using Lego bricks to teach math, check out these 10 awesome lego math videos for creative kids (and their parents!) 1. Lego Color Sorting Activity For Preschool Math and Fine Motor Development Put your preschooler to work sorting their lego by color or size. Muffin tins or used egg cartons make excellent temporary containers for this activity. You could also buy sectioned containers so that the newly... 
11 Hot Math Education Research Studies to Boost Your Child’s Math Skills
15 Nov 2016  2:06 amHave you ever wondered what makes some people into natural mathematicians while others seem to struggle with grasping even basic concepts? Do you wonder whether there are things you should be doing to help your children reach their potential in math? Here’s my rundown of recent math education research into how we learn, and how best to develop your child’s math skills. 1 Babies’ spatial reasoning predicts later math skills. Stella Lourenco, a psychologist from Emory University conducted a study showing that babies with a stronger interest in a video stream of mirrored images went on to have greater mathematical skill at age four than those with less interest. This may be why some people seem to... 
Have You Seen These 15 Awesome Math Toys and Games?
31 Oct 2016  2:48 amAre you keen to help your children cement the math skills they’re learning, but finding them less than willing to spend their free time practising times tables or number bonds? Hopefully, you’ve had a chance to look around here at Maths Insider to see some of my suggestions for ways to make math practice more fun. Here’s a list of math toys and games with a definite emphasis on fun and a whole lot of math learning thrown in for good measure. Number skills builders for preschoolers 1 Smart Snacks Number Pops – a fun way to encourage number recognition and fine motor skills at the same time. Match the numbers to the dots and slide the coloured shell over the corresponding lolly. Contains 10...



Math for all Grade blog

Oct 12, multiplying polynomials
12 Oct 2017  6:48 ammultiply each term of a polynomial with each of the other and combine like terms. 
Oct 8, Subtracting Fractions
8 Oct 2017  5:58 amsubtracting fractions having same and different denominators and mixed numbers. 
Oct 7, SET THEORY
7 Oct 2017  1:47 amset theory includes set notation, types of sets and operations on sets. 
Oct 5, Basic Algebra
5 Oct 2017  8:04 pmbasic algebra is also called high school algebra. 
Oct 5, mathforallgrades
5 Oct 2017  1:28 ammath for all grades covers in depth all math subjects :algebra, arithmetic, calculus with essential concepts and unlimited solved problems.



MIND Research Institute Blog

Infographic: How Gamebased Learning Can Support Strong Mathematical Practices
19 Oct 2017  11:00 amLess than half of the students in America are proficient in mathand most students would rather eat broccoli than do math problems. (Click to tweet) Yet we are asking more of our students than ever before. The Standards for Mathematical Practice raise expectations for our students, asking themto understand concepts, make connections and communicate their reasoning. How can we get students to not only engage in math, but also go deeper in the mathematical thinking and practices described in the standards? Leverage Students' Love of Digital Games A national survey from thePew Internet & American Life Project found that 97%of two to seventeen year olds play video games (both boys and girls!) and... 
Video: Using Gamebased Learning in the Classroom to Develop Productive Struggle
12 Oct 2017  9:05 amThere's a lotmore to games than just fun and play. Games can actually facilitate learning in powerful ways. By nature,games can help develop productive struggle in students. Educatorscontinue to hearabout theimportance ofproductive struggle, but we're still in theearly stages of exploringhow to best foster this critical learning processin classroom experiences, especially when it comes to math. In this video, I'llshare somegamebased learning strategies that can develop students' capacity for productive struggle.The ultimate goal is todevelop ourstudents into curious, tenaciousand creative problem solvers.Try incorporating gamebased learning in the classroom and let us know how it... 
Visual Math Brightens the Future of the STEM Workforce
10 Oct 2017  9:00 amThis blog was originally published byRockwell Automationand is reposted here with permission. I joinedMIND Research Institutein the fall of 2016 to work with a great team of passionate individuals who are changing the way our children learn math. As a father who’s watched three daughters grow and learn, I’ve realized that qualities like rigor and perseverance are not only for preparing students to take tests. These attributes are what will determine the success of our future workforce. The careers of tomorrow demand creative problem solving and innovative solutions. This is one of the main reasons why MIND first appealed to me. This neuroscience and social benefit organization is transforming... 
8 Teaching Habits that Block Productive Struggle in Math Students
3 Oct 2017  9:00 amProductive struggle is the kind of effortful learning that develops grit and creative problem solving. It results in students understanding content at a deeper level and applying that learning to more difficult and complex problems. It's what we want for all students. But did you know thatsometeaching methods couldblock students' potential for developing productive struggle in math? Here’s a roundup of information on some common teaching habits and theirunintended consequences: 1.Calling on students who know the right answer It may be tempting to call on the Hermione Grangers in class, but by doing so we miss an opportunity to show students how to respond when theyget stuck. Consider that the... 
Classroom Goal Setting for Intrinsic Motivation and Deeper Learning
26 Sep 2017  9:00 amEvery student is different. There are various external and internal factors that may affect the pace of a student’s learning. Why then, do we expect all students to complete a certain amount of work by a certain date? And offer rewards like ice cream, when we know not all students are likely to reach the same goal? Research around motivation can shed some light on best practices for inspiring the type of motivation that will last beyond that ice cream cone and cultivate a lifetime love of learning. And there’s examples of educators from across the country who are implementing unique goal setting and tracking systems that enable all students to succeed. Extrinsic Motivation and Intrinsic Motivation in...



Ash Tutors

Interesting facts about Halloween
9 Oct 2017  9:55 amReading time 4 minutes. As Halloween approaches, learn a little bit more about the celebration. You might be surprised at what you find out! 
Top tips for building reading skills
11 Sep 2017  3:21 amReading skills are among the most important and necessary learning skills, and as a parent, you have a huge impact on how quickly your child learns to read. Studies have shown that reading out loud to children on a regular basis produces significant gains in comprehension, vocabulary, and the understanding of words.Reading opens up doors to a whole new world full of knowledge, adventure, culture and diversity.Here are 10 simple yet effective tips to build and improve your child's progress in reading, which will not only develop reading skills but also a curiosity and desire to learn. 
Does your child struggle to make friends?
11 Sep 2017  2:59 amIf you are worried because your child is a bit of a loner and seems shy or reluctant to make friends, there are ways you can help and it's extremely beneficial too because as well as being fun, playing with friends is a way for young children to learn social skills. 
Summer holiday activities with kids
27 Jun 2017  2:56 amReading time: 6 minutes Summer holiday activities with kids With so many weeks ahead to keep the kids entertained, you could end up spending a fortune over the summer holidays if you're not careful. Here is a selection of cheap and free activities to keep the whole family entertained during the summer: 1 Pack a picnic, kite and sunshade and head to the local park. Best of all, parks are free. See find your nearest park2 Build an insect hotel and give nature a helping hand to attract and keep beneficial insects in your garden such as ladybirds which eat aphids that damage plants. Plus, insects need somewhere to stay in the winter too! The Eden Project has a fabulous project to... 
How to build selfconfidence in children
27 Jun 2017  2:13 amReading time: 3.2 minutes.Selfesteem is one of the greatest gifts you can give to your child. This is a gift that will last from childhood throughout their adult life. Positivity and selfconfidence help children try new challenges as well as deal with mistakes and try, try again!
