There was a total of 470 babies born in 2016 to Orthodox Jewish families exceeding the previous record of 466 born in 2014, in Prestwich, Whitefield, Salford and Crumpsall. There was a drop to 436 in 2015 leading to speculation that the continual rise in births might be levelling off, however this does not now seem to be the case.


Most Popular Stories

NEWBORN: There has been a Jewish baby boom in north Manchester
Search for "math OR mathematics"20 Jan 2017  10:42 pm 
Malaria elimination: Vaccines should be tested on larger groups of volunteers
Mathematics News  ScienceDaily12 Jan 2017  11:12 amTo find an effective vaccine against malaria it is crucial to test candidate vaccines on larger groups of people than previously thought  according to a new study. Researchers developed a mathematical model to determine the minimum number of people required for a good vaccine trial. 
Knot Not Easy to Knot
Scientific American  Math18 Jan 2017  7:01 pmChemists have synthesized the most complex molecular knot ever, using a strand just 192 atoms long. The advance could lead to new tougher materials. Christopher Intagliata reports.  Read more on ScientificAmerican.com 
Growth Mindset and Math Intervention
Blog – DreamBox Learning16 Jan 2017  9:00 pm“I’m bad at math.” Students say it all the time and it’s simply not true. Every student can become “a math person” with work and the right frame of mind. It’s time to do some mythbusting, particularly with math intervention students. Based in large part on the work of researchers like Carol S. Dweck and Jo Boaler, it’s been found that growth mindset can have a direct impact on achievement in mathematics. Dweck wrote, “Students who believe that intelligence or math and science ability is simply a fixed trait (a fixed mindset) are at a significant disadvantage compared to… 
Vectorizing Graphics Operations
Loren on the Art of MATLAB19 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.ContentsSet UpRead the USA high resolution dataCreate Base MapChange One State ColorChange Another OneSet All States' Patches to One ColorChange Each State to a Different Color  for loopChange Each State to a Different Color  setConclusionSet 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'))…




Search for "math OR mathematics"

NEWBORN: There has been a Jewish baby boom in north Manchester
20 Jan 2017  10:42 pmThere was a total of 470 babies born in 2016 to Orthodox Jewish families exceeding the previous record of 466 born in 2014, in Prestwich, Whitefield, Salford and Crumpsall. There was a drop to 436 in 2015 leading to speculation that the continual rise in births might be levelling off, however this does not now seem to be the case. 
Vancouver Canucks: Henrik Sedin Scores 1000th Career Point
20 Jan 2017  10:35 pmTonight, the universe decided that Vancouver Canucks fans could have nice things, and allowed Henrik Sedin to score his 1000th point at home against Luongo. Henrik Sedin owns three of them: games played, assists, and points. 
State offers incentive to STEM students
20 Jan 2017  10:33 pmAs students at all grade levels prepare to showcase their STEM prowess at a competition Jan 31 and Feb. 1 at the North Hall Community Center, state officials are doing their part to induce more students to choose a field of study in science, technology, engineering and math. This week, the Georgia Student Finance Commission announced a plan that will boost the grade point average by 0.5 to HOPE scholarship students pursuing rigorous STEM courses typically offered during the first two years of college. 
Teachers team up for 'spiel
20 Jan 2017  10:32 pmNicole Garbutt, who throws second stones for Suzanne Sullivan, watches her rock during their first game of the Brandon Ladies' Bonspiel at the Brandon Curling Club on Friday. Nicole Garbutt hasn't played in the Brandon Ladies Bonspiel in several years. 
Twitter Reaction: Henrik Sedin's 1,000th point 32 minutes ago  Sportsnet Staff
20 Jan 2017  10:20 pm"Henrik and Daniel and two of the greatest players I ever played with. Henrik is very deserving of this, just hopefully not tonight" Luongo Not a math major but pretty sure Hank would be at 998 without me or quite possibly way past a 1000 if he didn't get stuck out there with me Henrik and Daniel now only 893 points behind the Gretzkys for 1st alltime in NHL points by brothers.



Mathematics News  ScienceDaily

Malaria elimination: Vaccines should be tested on larger groups of volunteers
12 Jan 2017  11:12 amTo find an effective vaccine against malaria it is crucial to test candidate vaccines on larger groups of people than previously thought  according to a new study. Researchers developed a mathematical model to determine the minimum number of people required for a good vaccine trial. 
Computer models could help design physical therapy regimens
10 Jan 2017  12:44 pmResearchers have developed a computational walking model that could help guide patients to their best possible recovery after a stroke. 
DNAevidence needs statistical backup
10 Jan 2017  9:10 amHow do forensic scientists deal with complex DNAevidence found at crime scenes? A researcher has now developed new statistical models to analyze them. 
An ecological invasion mimics a drunken walk
9 Jan 2017  7:49 amA theory that uses the mathematics of a drunken walk describes ecological invasions better than waves, according to a new study. 
Physicists' to use their unique tool to improve neonatal health
3 Jan 2017  10:58 amIn neonatal health, knowing the exact time of conception saves lives. Two data scientists have a mathematical solution to rectify rough estimates.



Scientific American  Math

Knot Not Easy to Knot
18 Jan 2017  7:01 pmChemists have synthesized the most complex molecular knot ever, using a strand just 192 atoms long. The advance could lead to new tougher materials. Christopher Intagliata reports.  Read more on ScientificAmerican.com 
The Mathematics of Evolution: Q&A with Biologist Marcus Feldman
12 Jan 2017  4:00 amFeldman creates mathematical models that reveal how cultural traditions can affect the evolution of a species  Read more on ScientificAmerican.com 
How to Quickly Calculate Percentages
11 Jan 2017  6:30 amHow to calculate percentages is easier than you think. Quick, what’s 36% of 25? Or how about 250% of 20? Learn a quick and dirty tip to help you calculate all of those pesky percentages in your...  Read more on ScientificAmerican.com 
Best Science Books of 2016
31 Dec 2016  10:18 amBarbara Kiser, books and arts editor at Nature, talks about her favorite science books of 2016, especially three works about the littleknown history of women mathematicians.  Read more on ScientificAmerican.com 
Baseball Confirms the Faber College Motto: Knowledge Is Good
30 Dec 2016  6:30 amWhere does the shortstop play in a paradigm shift?  Read more on ScientificAmerican.com



Blog – DreamBox Learning

Growth Mindset and Math Intervention
16 Jan 2017  9:00 pm“I’m bad at math.” Students say it all the time and it’s simply not true. Every student can become “a math person” with work and the right frame of mind. It’s time to do some mythbusting, particularly with math intervention students. Based in large part on the work of researchers like Carol S. Dweck and Jo Boaler, it’s been found that growth mindset can have a direct impact on achievement in mathematics. Dweck wrote, “Students who believe that intelligence or math and science ability is simply a fixed trait (a fixed mindset) are at a significant disadvantage compared to students who believe that their abilities can be developed (a growth mindset)” (Dweck, 2008). Research has shown that... 
How to Harness the “Magic” of DreamBox’s Adaptive Engine
11 Jan 2017  9:00 pmOne of the most often frequent questions I hear from parents, students, and other DreamBox educators is, “What if the lesson is too challenging?” Here’s my guide to helping students make the transition to this “different style of learning” – using adaptive tools. DreamBox Learning Math is tremendously adaptive. Here are several best practices I believe are vital to keep in mind as DreamBox “does its job.” <ol> <li>Remind families (and yourself) NOT to help students answer problems. This will only get more frustrating if they (or you!) do, because the system can only assume the math learner is doing the thinking independently. If this accidentally happens, DreamBox will eventually adapt back to a “just...</li></ol> 
Data and Formative Assessment in Math Interventions
9 Jan 2017  9:00 pmAn important part of intervention is progress monitoring, and the most important aspect of that is data collection. Any decisions made for the educational or general wellbeing of students should be evaluated using efficacy evidence, in other words, data. Data is the way to answer the essential questions around intervention: <ul> <li>Who needs additional instruction?</li> <li>What is their present level of performance?</li> <li>What is the performance target?</li> <li>Have we met the target?</li> <li>Where do we go from here?</li> </ul> The use of data in instructional decisionmaking has been shown to lead to improved student performance (Wohlstetter, Datnow, & Park, 2008). Since there is no single source or type of data that can reveal everything... 
Math Intervention Basics—MTSS and RtI
4 Jan 2017  9:00 pmIntervention MTSS and RtI frameworks can seem similar, but MTSS is a comprehensive, umbrellatype approach that encompasses RtI and other systems. MultiTiered Systems of Support (MTSS) Defined. MTSS is a coherent continuum of evidencebased, systemwide practices and procedures to support a rapid response to academic and behavioral needs, with frequent databased monitoring for instructional decisionmaking to empower each student to achieve to high standards. Because behavioral and emotional problems are often a part of student learning challenges, MTSS also includes other multitiered systems including behavioral models such as PBS (Positive Behavior Support), and SST (Student Support Teams). The goal of... 
3 Reasons to Explore DreamBox Before 2017
14 Dec 2016  11:58 pmIf you’ve made a resolution to take your math students further, faster in the new year, here’s the place to begin. Make the new year bright with resources and ideas to make math teaching and learning more fun and more effective than you could ever imagine. And it’s real! So why not take advantage? REASON #1: Harvard Study Shows DreamBox Impact on Math Improvement A study completed in 2016 conducted by the Center for Education Policy Research (CEPR) at Harvard University suggests students using DreamBox Learning Math for just 14 hours can increase achievement on NWEA MAP assessments by nearly 4 percentile points. Here’s a quote from the CEPR: “Our initial correlations and regressions suggest...



Loren on the Art of MATLAB

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... 
Singing the Praises of Strings
22 Dec 2016  8:42 amThere is a new way to work with textual data in MATLAB R2016b. The new string datatype haven't got enough attention from me until recently. I have been chatting with colleagues Matt Tearle and Adam Sifounakis and we have each discovered a similar beautiful code pattern in MATLAB for generating a sequence of strings.Contents<ul><li>MathWorks History with Textual Data</li><li>String Datatype</li><li>But wait, there's more!</li><li>Is There More?</li></ul>MathWorks History with Textual DataEarly on, MATLAB had character arrays. Let's create one.myCharPets = ['dog ';'cat ';'fish'] myCharPets = dog cat fish Notice how I had to add trailing blanks for the first 2 pets because my final pet, a fish, required more memory (like Dory from Finding Nemo)?.I can... 
Understanding Wavelets: Tech Talks Available
8 Dec 2016  5:35 amUnderstanding Wavelets: Tech Talks AvailableSensors are a big part of our lives and continuously generate signals measuring some real physical phenomenon. Engineers are tasked with processing these signals to identify unique features and reveal interesting patterns in these signals. Fourier transform is a first step used by many in analyzing the frequency content of the signals but it is not well suited to analyze signals which have features coming in at different scales or resolution i.e. a signal containing a slowly varying component punctuated with abrupt transients as is the case with many naturally occurring signals and images. The reason being, Fourier transforms use sinusoids, which are not well... 
Videobased Motion Analysis with MATLAB
24 Nov 2016  7:00 amWe love MATLAB and we also have many other interests, too. Today's guest blogger, Toshi Takeuchi, found an interesting way to combine his passion for MATLAB with one of his interests, Argentine Tango! Contents<ul><li>Motivation</li><li>Loading Video</li><li>Playing Back Video in 1/2 Time</li><li>Creating the GUI</li><li>"Choose File" Button</li><li>"Play" Button</li><li>TangoPlayer in Action</li><li>Creating a Standalone App</li><li>Summary</li></ul>MotivationI started taking Argentine Tango classes at MIT when we had a record snow fall a few winters ago in Boston. I was originally planning to learn snowboarding (I even bought a used snowboard) but who would want to spend more time in the snow after having shoveled it day after day?I was drawn to Tango because I can do the figures once I...



Homeschool Math Blog

Math Mammoth January sale
14 Jan 2017  9:48 amJANUARY SALE at www.mathmammoth.com !Get 25% off of all of Math Mammoth CD and downloadable products at MathMammoth.com. Use coupon code JAN25.The offer is valid till January 25, 2017. 
Tips for mental math
10 Jan 2017  6:07 pmHow about some practical tips for mental math?Please share this article on your FB page or other social media (assuming you like it), because I feel it can benefit all kinds of people, not just moms and dads and teachers. :) 
Printed books sale!
5 Jan 2017  11:41 amGet Math Mammoth printed books and CDs at 20% off  at Rainbow Resource Center!The sale lasts till 1/12/2017. 
2017 Mathematics Game
1 Jan 2017  5:53 pmYeah! 2017 Mathematics Game is here!If you don't know what it is, it's a number "game" or challenge where you build each of the numbers from 1 to 100 using the digits 2, 0, 1, and 7  and you HAVE to use all those digits!For example:10 = 2 + 0 + 1 + 78 = 2 x 0 + 1 + 77 = 2 x 0 + 1 x 7...and so on. I'm sure you get the gist!Read the complete rules for this game here. 
Meaning of factors in multiplication: four groups of 2, or 4 taken two times?
1 Dec 2016  4:19 pmSomeone asked me about the interpretation or meaning of the two numbers in multiplication, such as 4 × 2. Do you view it as four groups of 2, or as four, taken two times?Here's their question:"...I noticed that your explanation about how to interpret a math phrase, such as 4 × 2, is different from how I have understood it and taught it to my older daughter who was using RightStart Math at this level.Let me explain: I see that you are using the first factor to denote number of groups and the second factor tells how many are in each group (4 × 2 would be interpreted 4 groups of 2). On the other hand, I have taught and thought of it reversed, with the first factor telling how many are in each group and...



Denise Gaskins' Let's Play Math

Math Is…
18 Jan 2017  2:09 pmVideo from the Global Math Project. And here are some additional answers. Try It at Home Ask your kids the question: “What Is Math?” I’d love to hear what they say! 
Calling All Math Teacher Bloggers and Homeschoolers: Carnival Time!
16 Jan 2017  6:25 amby Bob Jagendorf via flickr The monthly Math Teachers at Play (MTaP) math education blog carnival is almost here. If you’ve written a blog post about math, we’d love to have you join us! Each of us can help others learn, so in a sense we are all teachers. Posts must be relevant to students or teachers of schoollevel mathematics (that is, anything from preschool up to 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 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... 
Math Inspirations: Why Study Mathematics?
13 Jan 2017  8:45 pmWhat teacher hasn’t heard a student complain, “When am I ever going to have to use this?” Didn’t most of us ask it ourselves, once upon a time? And unless we choose a mathintensive career like engineering, the truth is that after we leave school, most of us will never again use most of the math we learned. But if math beyond arithmetic isn’t all that useful, then what’s the point? If you or your student is singing the “Higher Math Blues,” here are some quotations that may cheer you up — or at least give you the strength of vision to keep on slogging. We Study Mathematics… To Understand Creation I don’t want to convince you that mathematics is useful. It is, but utility is not the only criterion for value... 
My Favorite Math Games
7 Jan 2017  12:37 amTake a break from textbook math and enjoy yourself! I like to use games as a warmup with my coop math circle. Some homeschoolers make every Friday a game day, and some turn gaming into a family lifestyle. If you’d like to add more play to your family’s day, check out Cait’s 2017 Gameschooling Challenge. “Playing games with your kids offers a host of educational benefits, plus you build relationships and make memories. I am constantly amazed by the amount of learning that happens when I sit down to play games with my children.” —Caitlin Fitzpatrick Curley Gameschool Challenge Family Games for All Ages <ul> <li>How to Make Math Cards</li> <li>Game: Tens Concentration</li> <li>Math Club Nim</li> <li>Tell Me a (Math) Story</li> <li>Math Game: What...</li></ul> 
How to Build Your Math Blog’s Audience
6 Jan 2017  3:30 pmNew Year, New Blog! The first way to make your math blog grow is to write posts. Here’s an #MTBoS blog challenge that seems doable: Only one post a week, so maybe even I can keep up. With the start of a new year, there is no better time to start a new blog! For those of you who have blogs, it is also the perfect time to get inspired to write again! Please join us to participate in this years blogging initiative… Click Here for Details Join the Math Education Blog Carnival Once you’ve got your post blogged, please share it with us! The Math Teachers at Play (MTaP) blog carnival is a monthly collection of tips, tidbits, games, and activities for students and teachers of preschool through precollege...



Basic mathematics blog

Calculate the Harmonic Mean
13 Jan 2017  10:28 amWhat is the harmonic mean? How to calculate the harmonic mean? 
Equation of a Circle
6 Jan 2017  10:28 amWhat is the equation of a circle? How to derive the equation of a circle? 
Number Game
1 Dec 2016  3:27 am1. Think of any positive whole number. No fractions, no decimals,no percents. 2. Double that number. 3. Add 10 to that result in step 2. 4. Divide 
How to Do Synthetic Division
28 Nov 2016  7:24 amThis lesson will explain clearly how to do synthetic division 
20 4th Grade Math Problems Students should Know how to Solve
19 Nov 2016  3:06 pmA great variety of 4th grade math problems your students will love



Computational Complexity

Infinite Series and Markov Chains
19 Jan 2017  5:25 amThere's a wonderful new series of math videos PBS Infinite Series hosted by Cornell Math Phd studentKelsey HoustonEdwards. Check out this latest video on Markov Chains. She gives an amazingly clear description of why, on a random walk on an undirected graphs, the stationary distribution puts probability on each node proportional to its degree. HoustonEdwards also relies without proof on the following fact: The expected time to start and return to a vertex v is 1/p where p is the probability given to v in the stationary distribution. Why should that be true? Didn't seem so obvious to me, so I looked it up. Here is an informal proof: Let V1 be the random variable that is the expected... 
My REU program/REU's in general/Flyers? Why do some Transcripts...
15 Jan 2017  7:24 pmI run an REU program (Research Experience for Undergraduates) and I would normally urge you to urge undergrads who would benefit to apply to it and present both this link:hereand this flyer:here. I just did that. But I want to talk about REU programs, not just mine. A few points which can be construed as advise though its more questions and what I do. 1) Do flyers still have any effect? If there is a bulletin board in a dept that is known for where to look for announcements of summer opps, then YES. Otherwise not sure. when I asked this question to a professor I emailed the flyer to she said that at her school they stick flyers in the bathroom stalls where they are sure to get a captive... 
Guest Post about the first Women in Computational Topology (WinCompTop) Workshop
12 Jan 2017  9:33 amThe first Women in Computational Topology WinCompTopworkshop was held in August at the Institute for Mathematics and its Applications (IMA) in Minneapolis, MN. In total, 27 women participated, ranging from undergraduates to full professors; in addition, five future topologists (children of the participants) attended the various social events scattered throughout the week. The central goal of this workshop was to establish research collaborations among both junior and senior women in the field, as well as to provide an opportunity for mentoring at all levels. There were four working groups, each led by a more senior member of the community: Giseon Heo(University of Alberta) outlined a project that... 
Babai Strikes Back
10 Jan 2017  11:27 am"So it is quasipolynomial time again" Short Version: Babai fixed his proof. In November 2015 László Babai announced a talk "Graph Isomorphism in Quasipolynomial Time" at the University of Chicago, an incredible breakthrough for this important problem. Thealgorithmis a tourdeforce masterpiece combining combinatorics and group theory. The result sent shock waves through the community, we coveredthe result as did most everyone else, despite Babai's disclaimer that the result was not yet peer reviewed. Robin Thomas at Georgia Tech immediately suggested we get Babai down to Atlanta to talk on the paper. Babai's dance card filled up quickly but he eventually agreed to give two talks at Georgia Tech.... 
Learning About Learning
5 Jan 2017  7:09 amYesterday Scott Aaronson released his sweeping new P v NP survey. Babai gave an update on graph isomorphism, in short while he still has the first subexponential time algorithm for GI, he no longer claims quasipolynomialtime. We'll have more on graph isomorphism next week. Having seen the power of neural networks for learning, how do they actually work? Over the break I decided to catch myself up. I worked through Michael Nielsen's online bookNeural Networks and Deep Learningchosen mainly because he coauthored one of the great books on quantum computingfollowed by the beginning of the TensorFlow tutorial. To try out code I downloadedPython and TensorFlowand used PyCharm as my IDE (free for...



The Math Less Traveled

More fun with Dirichlet convolution
5 Jan 2017  12:51 pmI’m back after a bit of a hiatus for the holidays! Last time we saw how the principle of Möbius inversion arises from considering the function from the point of view of Dirichlet convolution. Put simply, the Möbius function is the inverse of with respect to Dirichlet convolution. As an example, we noted that (that is, the sum of over all divisors of is equal to ), and hence by Möbius inversion . This is far from earthshattering, but it’s fun to see how a numbertheoretic function like arises in a simple formula involving Dirichlet convolution, and how Möbius inversion allows us to quickly derive a related but nonobvious fact. Let’s do a few more! First, let’s consider . We... 
Paper torus with Villarceau circles
3 Jan 2017  9:36 amI made another thing! This is a torus, made from 24 crescentshaped pieces of paper with slots cut into them so they interlock with each other. I followed these instructions on cutoutfoldup.com. There is also a template with some ideas for nice variations here. The idea of this model is to highlight Villarceau circles. Everyone knows how to find circular crosssections of a torus, right? You can cut it horizontally (like cutting a bagel in half) in which case you get two concentric circles: Or you can cut it vertically (like cutting a donut in half, if you wanted to share it with someone else), in which case you get two separate circles: But it turns out there is yet another way to cut a... 
Möbius inversion
14 Dec 2016  11:46 amIn my last post we saw that , that is, the Möbius function is the inverse of with respect to Dirichlet convolution. This directly leads to an interesting principle called Möbius inversion. Möbius inversion. Suppose is defined for as the sum of another function over all the divisors of : Then we can “invert” this relationship to express as a sum over : The above is the “traditional” way of stating the principle, but I like to write it in this equivalent, more symmetric way: where, as usual, the sum is over all factorizations of into a product . This is the same as the previous equation, because if and only if , in which case . But now it becomes more clear that we are... 
Dirichlet convolution and the Möbius function
11 Dec 2016  2:37 pmRecall from last time that the Dirichlet convolution of two functions and is written and defined by: where the sum is taken over all possible factorizations of into a product of positive integers. Last time we saw that is commutative and associative, and has as an identity, where is the function which produces for an input of and for all other inputs. So what does the Möbius function have to do with this? Let’s start by considering a different function: is the function which ignores its input and always returns . Of course this is not the same thing as , and despite its name is indeed not an identity for Dirichlet convolution. That is, if we take some function and find its... 
Dirichlet convolution
6 Dec 2016  9:51 amLet and be two functions defined on the positive integers. Then the Dirichlet convolution of and , written , is another function on the positive integers, defined as follows: The sum is taken over all possible factorizations of into a product of positive integers. For example, suppose and . Then At this point this may seem somewhat arbitrary, but over the next few posts we’ll see that it’s not arbitrary at all—this operation is deeply connected with the Möbius function and hence with primes and factorization. So what properties does have? <ul> <li> It’s commutative, that is, . This follows directly from the commutativity of multiplication: </li> <li> It’s also associative, that is, . This...</li></ul>



WordPress Tag: Mathematics

Math Practice(21.01.17)
20 Jan 2017  10:40 pmDear Learners, Practice the questions in my diary. Ask your doubts in class, if any. Do not forget to define the variable you are using. 1. Write the following statements as algebraic expressions with variables: (i) one melon weighs 750 g and an apple weighs. Find the weight of p melons and q apples together. (ii) The number of marbles with Jatin is 7 less than twice the number of marbles with Abdul. (iii) The cost of a pen is half that the cost of a notebook minus 4. (iv) Think of number. Add 11 to it and then multiply by 7. Subtract m from it. 2. Shivani’s height is h cm. Write the following: (i) Radha’s height is 6 cm less than Shivani’s height. (ii) Seema’s height is 5 cm less than Shivani’s height. 3.... 
Pacific offers new major in actuarial science
20 Jan 2017  3:38 pmCOP to offer first actuarial science program in Northern California Associate Professor of Mathematics, Jialing Dai Students who love math and are fascinated by probability theory can pursue a new major at College of the Pacific: Actuarial science. Demand for actuarial scientists is expected to grow by 33 percent in California over the next decade. And this highpaying field – the average annual salary in California is $110,000 –welcomes women and minorities. Associate Professor of Mathematics, Jialing Dai, answered some frequently asked questions about the new major. Q: What is actuarial science? A: Actuarial science is a discipline that includes a number of interrelated subjects: mathematics,... 
Fractal 2016
20 Jan 2017  11:29 amFractal 2016 The repetition Into itself So many colors Some ROYGBIV A blacked out Boldblunt path Reaching into endless Spiral voids Viscera swirling Into whiteless planes Lemniscate flesh Of chromic canaries Collapsing constantly In the coal mine Where coal Black as a black hole Is the Still breathing soul Of the same canary (PDF Form: fractal2016stylized 
Sequencing numbers
20 Jan 2017  7:31 amWeek one and already mathematics is seeming like Greek. What on earth is this teacher talking about when he says “arithmetic sequences”? Is it a disease or a dance routine of some sort? NO! Arithmetic sequences are patterns of numbers with a common difference. Admittedly, they could have just called it number sequences with a defined pattern to it, but if they did then they probably wouldn’t sound as smart. If you are one of the hundreds of scholars wondering what exactly the differences are between arithmetic and geometric sequences, then keep on reading. This article aims to give basic definitions of these sequences and highlight the main characteristics of each sequence. Arithmetic sequences As... 
Welcome
20 Jan 2017  6:53 amThere are a lot of thoughts that go round in our heads. The majority of them flutter away and are never thought about again. A few turn into real, tangible goals and ambitions. And then the rest just reside in limbo, occupying a certain amount of your brain power for a certain amount of time, before being brushed to the side for something more important, only to return to the forefront of your mind a few days later. It’s for these minutia that I decided to do this. The majority of posts will be ridiculous and/or boring. A few may be of passing interest, and all will be riddled with errors. Ultimately however, if you’ve ever thought of questions such as, “How do life insurance companies make money?”, then I...



mathrecreation

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... 
Desmos polygonal number diagrams
18 Nov 2016  6:36 amPolygonal numbers are a favorite topic in recreational math and there are quite a few posts about them on this blog (such as this one,here). The image above hints at some of their interest: polygonal numbers, like the pentagonals shown above have numerical properties that translate nicely into visual properties in their associated diagrams.The very first post of this blog had some instructions for how to generate polygonal number diagrams using Fathom or Tinkerplots (two dynamic data environments; their successor CODAPseems to have the same capabilities), so attempting to do the same in Demos seemed like a good idea.The first few triangular number diagramsYou can play with the graph here. With it you can... 
doodling with Froebel
28 Oct 2016  7:48 amMaybe it is time to unplug, put that graphing calculator aside, lay out some graph paper, and pick up a pencil. But what to do? The tyranny of the blank page plagues not only writers, but doodlers as well.A great source of inspiration for how to fill that graph paper are nineteenth century Froebeliankindergarten text books. Froebel proposed a curriculum based on manipulating and creating using basic forms, realized in the form of "gifts" that were provided to students at various stages of their learning. The gifts were blocks, sticks, squares of paper, drawing tablets and other objects that were used to build, weave, cut, fold, and draw combinations of basic forms. Some old textbooks include nice...



Math ∞ Blog

Invasion of the Physicists
19 Jan 2017  6:57 pmWired recently published an article with the sensational title “Move Over, Coders — Physicists Will Soon Rule Silicon Valley” primarily concerned with physicists or former physicists working in deep learning (neural networks), machine learning, and data science. The article implies that this exodus of physicists to the Silicon Valley and computer industry is a remarkable new phenomenon. This exodus of physicists is not new. It has been true at least since the first big physics employment bubble crashed in the late 1960’s, early 1970’s. The postSputnik boom in physics degrees and grad students produced a huge surplus of physicists by the late 1960’s. The article mentions Dennis Ritchie, creator of the... 
Should You Get Started in Data Science?
8 Jan 2017  11:35 amI recently received an inquiry on how to get started in the currently hot field of data science. Perhaps a better question is: should you get started in data science? What is data science? Data science is vaguely defined. In many respects, it is what used to be called statistics and data analysis. The proliferation of ultrafast computers, a range of cheap, portable sensors such as magnetometers (compasses), accelerometers (acceleration and gravity measurements), and gyroscopes (orientation), huge compact data storage, ultra fast networks, and web sites instrumented with detailed tracking of customers and visitors have resulted in a proliferation of data and effort to analyze that data to make more money... 
Separating the Math and the Mathematician
19 Dec 2016  2:12 pmI recently gave a talk Ronald Fisher and Maximum Likelihood Estimation on the pioneering statistician Ronald Fisher and his development of the method of maximum likelihood estimation, one of his several major contributions to statistics. Ronald Fisher in 1913 Ronald Fisher was a brilliant mathematician whose methods remain in widespread use today, often by scientists and engineers who don’t know that he invented those methods. He was also a very difficult person — arrogant, selfrighteous, with a bad temper and an oversized ego — who became embroiled in a series of bitter hatefilled feuds with his rivals and colleagues including Karl Pearson, Egon Pearson (Karl Pearson’s son), Jerzy Neyman, and Sewall... 
Arbitrary Precision Integer Arithmetic in the Bourne Again Shell (BASH)
30 Nov 2016  12:11 pmThis is a brief post on quick ways to perform arbitrary precision integer arithmetic in the GNU Bourne Again Shell (BASH), either at the command prompt or in a shell script. It is partially a followup to the post Floating Point Arithmetic in the Bourne Again Shell (BASH) and overlaps some of the content in this previous post. The Bourne Again Shell, or bash, is the default command line processor (shell) for Mac OS X, the cygwin environment on MS Windows, and many other Unix and Unixlike systems. Especially if you work with numbers, you may want to perform quick arbitrary precision arithmetic at the command prompt (shell) or in shell scripts. This post covers three ways to perform arbitrary precision... 
Did Facebook’s News Feed Algorithm Elect Donald Trump?
10 Nov 2016  2:11 pmDozens of articles are trying to blame the election of Donald Trump as President of the United States on Facebook’s news feed algorithm, and especially its supposed propensity for factually untrue news stories. The liberal/leftwing The Intercept just posted an article Facebook, I’m Begging You, Please Make Yourself Better by Sam Biddle promoting this theory. Similar articles have shown up in the LA Times , New York Magazine, and many other sources. Donald Trump The premise of these articles is that Facebook created a filter or bubble around dumb, poorly educated, right wing proTrump voters bombarding them with factually incorrect news stories and conspiracy theories that convinced these idiots to vote...



MathFour

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... 
Math Teachers Have a Dirty Little Secret
15 Aug 2016  1:17 pmWhen a math teacher presents a problem in front of a class it goes something like this: <ol> <li>The teacher grabs her notes.</li> <li>She walks to the board.</li> <li>She writes a problem on the board.</li> <li>She explains the stepbystep solution with precision and elegance.</li> <li>She repeats the steps above a few times, then assigns the homework.</li> </ol> And based on this, students perceive that math is done just this way. They think math teachers can look at a problem and just KNOW how to do it, automatically. Here’s what happens before the classroom lesson: <ol> <li>The teacher sits down at home with the textbook and paper.</li> <li>She opens the book to the lesson’s topic.</li> <li>She works through an example problem.</li> <li>She gets confused, and reworks it.</li> <li>She figures out...</li></ol> 
Benjamin Franklin’s 13 Virtues for the Next 45 Years
9 Jul 2016  6:02 amI just turned 45 years old. Like, 2 hours ago. Some birthdays cause you more pause than others. This is one of those for me. I’m feeling like I’m at the midpoint of my life. Age 50 should be the middle, right? But I can’t help but think I’m past halfway. Will I live to be 90 years old? Looks like there’s a 2/3 chance I’m over halfway to death. According to the Society of Actuaries’ life expectancy calculator, I have only about 1/3 chance of living to age 90. I don’t know much about actuarial stuff. But I do know it’s based on averages. Which means about 2/3 of my sameaged peers will be dead in 45 years. Two out of three of us won’t be around. Goodness! What should I do with the second half of...



MIND Research Institute Blog

Women In STEM Speak Out To Girls Everywhere
20 Jan 2017  9:30 amThe other day, my 5 yearold daughter, Hunter, was playing ST Math and struggling on a level in one of the games. My wife stepped in to help and Hunter got upset, saying, "If you keep telling me the answers, I'll never learn, and I'll be the only one in the family who can't do these things!" I was so proud of Hunter for wanting to do things herself, and wanting to work through the struggle. In the education world we call this “grit” and developing a “growth mindset”; the characteristics necessary for kids to engage in productive struggle, the kind of effortful learning that builds deeper understanding of mathematics. At my daughter’s age, I know that she’s eager to learn math and to be able... 
Experience The Beauty Of Mathematics With Math Fair Attendees
18 Jan 2017  9:30 amAlmost 15 years ago I was recruited by my former boss who said, “I know this may be a step down for you now, but this organization has so much potential. I know you will grow with them.” Wow, was she right. Not only did I find a supportive and caring family here at MIND Research Institute, but I became part of a powerful movement. When I started at MIND, we had just a few hundred 2nd grade students using ST Math in the classroom and now over 1 millionstudents are learning and enjoying math through the program! Affecting over one million students is a wonderful achievement, but we wanted to further support students going deeper into their understanding of math. We need to empower parents and... 
Profiles in Success: Increased Student Motivation Leads to 15.5% Better Performance
12 Jan 2017  9:07 amHow do you measurethe positive effects of student engagement and motivation for learning? Forthis diverse, coastal school district in Mississippi, student engagementhas made all the difference, particularly in math. In response tochanging state standards, Gulfport School District knew they needed to bring a deeper level of conceptual understanding and critical thinking intotheir math classrooms. Their unique method involved the ST Math visual and spatial learning games. "We're really impressed by how engaged the students are ... students challenge themselves, set their own goals and push themselves to the next level." —Lea Bellon, Director of Instructional Programs, Gulfport School... 
Mentorship and the Culture of Encouragement
5 Jan 2017  9:01 amLastfall, I had the privilege of meeting and convening with amazing, accomplished women (and men) all focused on one theme: GIRL POWER! And even more exciting, a clear call to action emerged: for us to unlock dreams and open doors to lifechanging careers by mentoring young girls. Million Women Mentors Summit & Gala I was honored to participate in the opening panel of STEMConnector’s Million Women Mentors Summit & Gala in Washington, D.C., on October 5, 2016.Our panel, “Strategic Partnerships as a Catalyst for STEM Talent and Careers,” featured such powerhouses as Dr. Christyl Johnson of NASA; Lt. General Stacye Harris with the US Air Force; Viola MaxwellThompson, President of ITMSF; Dr.... 
Taste of Math: An Event Showcasing the Flavor of Math
3 Jan 2017  9:00 amI am a Mathematician. I am also a professional chef. On Friday, November 4, 2016, I had the privilege of showcasing the intrinsic connection between mathematics and food. The inaugural Taste of Math at the OC Fair & Event Center (Costa Mesa, CA) showcased a dazzling array of delicious mathematics and precise cooking. While doing so, the event helped plant the seed for what will undoubtedly evolve into a defining movement that revolutionizes mathematics education in the United States. I am often asked about my ability to juggle the left and right sides of my brain. To quote Neil DeGrasse Tyson, “I have a brain” and I used all of it to creatively and precisely prepare two dishes which offered over 400...



Ash Tutors

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... 
How to help your child learn weekly spellings
10 Jan 2017  5:47 amHow to help your child learn weekly spellingsRead Time: 2.5 minsDoes your child have weekly spellings to learn? Chances are high that if they're still at primary school they will. And is it a source of great joy, or of great pain? :)If your heart sinks at the very thought of helping your child learn their weekly spellings, we have put together som... 
Internet safety for kids
13 Dec 2016  5:15 amInternet safety for kids Allowing your kids to access the internet? Of course you are! All of us parents are. And keeping young children and teenagers safe online is one of the first and main concerns for parents and teachers alike. This is a very important issue, one that all parents would agree is becoming increasingly worrisome as the news throws more and more stories out about grooming and/or online bullying. So we'd like to share some advice as well as a few links to useful free tools for online safety. Childsafe search engine When children need to research for school projects or just explore online for themselves, a childsafe search engine is an invaluable tool. 
Family Party Games
6 Dec 2016  6:05 amFamily Party Games Reading Time: 5.3 minutes The family that plays together stays together! Hands up who wants to play some fun family party games? And Christmas and New Year are just about the perfect time to start! Here are some ideas for games that are both entertaining and fun for all ages. Perfect for Christmas, New year, sleepovers, rainy days and birthday parties. These are all games that the children can all get involved in and even help prepare. Best of all, the games are totally free, and don't come with a huge amount of packaging you have to dispose of afterwards! SHOOT THE CAMERA What you will need A cheap cameraMusic 
How to say Merry Christmas in 18 Different Languages
6 Dec 2016  5:51 amHow to say Merry Christmas in 18 Different Languages Reading Time: 2.4 minutes Here's one for the kids! They love to say Merry Christmas in various languages  go on, ask them! So, in no particular order, here are 18 ways to say Merry Christmas or Happy Christmas in different languages: 1 If you were in Denmark celebrating Christmas then you would say Glaedelig Jul.2 In Finland, the greeting is Hyvaa Joulua.3 Across the channel in France the greeting you would use is Joyeux Noël.4 Heading to Germany for Christmas? Greet your friends with Frohliche Weihnachten.5 If you were lucky enough to find yourself on a beach in Hawaii for Christmas it's Mele Kalikimaka.6 In Italy Merry Christmas is Buon...
