Sports Pulse: USA TODAY Sports experts give us their pick on who will win the NFC Championship, the Vikings or the Eagles. Philadelphia Eagles quarterback Carson Wentz reacts after his 73 yard touchdown pass against the Pittsburgh Steelers during the third quarter at Lincoln Financial Field.


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Tastykake vs. nut roll in EaglesVikings wager
Search for "math OR mathematics"20 Jan 2018  10:03 am 
The Hidden Depth in Math's Simple Puzzles
Scientific American  Math17 Jan 2018  8:00 amMathematician Richard Schwartz explains why he loves problems he can start solving right away, and how computers can help  Read more on ScientificAmerican.com 
Defining Your Own Network Layer (Revisited)
MATLAB Central Blogs Feeds  MATLAB Central Blogs18 Jan 2018  4:00 pmToday I want to follow up on my previous post, Defining Your Own Network Layer. There were two reader comments that caught my attention.The first comment, from Eric Shields, points out a key conclusion from the Clevert, Unterthiner, and Hichreiter paper that I overlooked. I initially focused just on the definition of the exponential linear unit function, but Eric pointed out that the authors concluded that batch normalization, which I used in my simple network, might not be needed when using an ELU layer.Here's a reminder (from the previous post) about what the ELU curve looks like.And here's… 
Get Math Mammoth at 25% off!
Homeschool Math Blog16 Jan 2018  6:03 amGet Math Mammoth AND Make It Real Learning downloads & CDs at 25% off at MathMammoth.com.Simply use the "Add to cart" buttons at MathMammoth.com website, and then use the coupon code MMJAN18.This promotion is valid till January 31, 2018. 
Cultivate Mathematical Curiosity
Denise Gaskins' Let's Play Math17 Jan 2018  4:21 am“Cultivating thinking skills is the main reason for teaching math. It is the mind’s perfect playground for shaping up. … To begin developing thinking, you must first have a child who is curious. For without curiosity, there is only forced thinking. … The problem with traditional math is it jumps to the punchline. … Absolutely no mystery or suspense is developed in traditional math books. Why? Apparently, someone thought math was without mystery. That math is a definitive subject of rules and algorithms that all have been discovered. … We must persuade children…




Search for "math OR mathematics"

Tastykake vs. nut roll in EaglesVikings wager
20 Jan 2018  10:03 amSports Pulse: USA TODAY Sports experts give us their pick on who will win the NFC Championship, the Vikings or the Eagles. Philadelphia Eagles quarterback Carson Wentz reacts after his 73 yard touchdown pass against the Pittsburgh Steelers during the third quarter at Lincoln Financial Field. 
Math idea  Ternary  Dozenal Batch File Calculator
20 Jan 2018  9:51 amTernarydozenal calculator no zeros  Pastebin.com [ ^ ] So I'm just lounging around and I figured I'd share what I'm working on with all of you. The above link is a super efficient and lowprofile batch file that can do dozenal math. 
Christa McAuliffe's lost lessons finally taught in space
20 Jan 2018  9:45 amThirtytwo years after the Challenger disaster, a pair of teachers turned astronauts will pay tribute to McAuliffe by carrying out her science classes on the International Space Station. As NASA's first designated teacher in space, McAuliffe was going to experiment with fluids and demonstrate Newton's laws of motion for schoolchildren. 
My Turn: Discover Gastonia's downtown Updated at
20 Jan 2018  9:12 amGastonia's downtown is beautiful. Architectural wonders on every corner. Not many cities the size of Gastonia can boast having so many historic buildings remaining. 
MAC College AllStar Game Rundown
20 Jan 2018  8:50 amMel Kiper released his first mock draft this week, which means the long, arduous journey to the NFL Draft in late April has officially begun. Outside of the combine, one of the most vital scouting exercises is performed during January during college allstar game season.



Scientific American  Math

The Hidden Depth in Math's Simple Puzzles
17 Jan 2018  8:00 amMathematician Richard Schwartz explains why he loves problems he can start solving right away, and how computers can help  Read more on ScientificAmerican.com 
How Robot Math and Smartphones Led Researchers to a Drug Discovery Breakthrough
17 Jan 2018  6:00 amAn algorithm originally designed to help robots move was useful in tackling an entirely different problem  Read more on ScientificAmerican.com 
Roots of Unity Turns 5
14 Jan 2018  1:00 pmHappy birthday, dear blog!  Read more on ScientificAmerican.com 
Mohamed Omar's Favorite Theorem
14 Jan 2018  6:00 amThe Harvey Mudd math professor tells us what dessert pairs best with Burnside’s Lemma  Read more on ScientificAmerican.com 
A Few of My Favorite Spaces: The Bicylinder
6 Jan 2018  9:00 amAlso known as mouhefanggai or the Steinmetz solid, this shape appeared in the first Chinese explorations of the volume of a sphere  Read more on ScientificAmerican.com



MATLAB Central Blogs Feeds  MATLAB Central Blogs

Defining Your Own Network Layer (Revisited)
18 Jan 2018  4:00 pmToday I want to follow up on my previous post, Defining Your Own Network Layer. There were two reader comments that caught my attention.The first comment, from Eric Shields, points out a key conclusion from the Clevert, Unterthiner, and Hichreiter paper that I overlooked. I initially focused just on the definition of the exponential linear unit function, but Eric pointed out that the authors concluded that batch normalization, which I used in my simple network, might not be needed when using an ELU layer.Here's a reminder (from the previous post) about what the ELU curve looks like. And here's the simple network that used last time.layers = [ ... imageInputLayer([28 28 1]) convolution2dLayer(5,20) ... 
Ugly Data App
18 Jan 2018  4:00 pmRichard is a Consultant at MathWorks focused on the Embedded Coder product for code generation, primarily in the Aerospace industry. Richard's pick this week is Ugly Data App by Adam Sifounakis. Contents <ul> <li>Pick</li> <li>Enhancements</li> <li>Comments</li> </ul> Pick My pick this week is Ugly Data App  a tool to clean up data . This submission is a great example of the types of complex User Interfaces that can be created using MATLAB's App Designer. The tool itself allows the user to bring in data from the MATLAB workspace and then operate on it in a number of ways. The first option is to handle missing values. The user can... 
Preparing for the RoboCup Major Leagues
16 Jan 2018  4:00 pmThe Racing Lounge is back from Christmas break. I wish you all a succesful and healthy 2018! In today's post, Sebastian Castro discusses his experiences with a robotics workshop he helped deliver at the RoboCup AsiaPacific (RCAP) event in Bangkok, Thailand. As a reminder, MathWorks is a global sponsor of RoboCup which comes with many benefits to student teams. At RCAP, we had a booth with information, giveaways, software demonstrations, and more. We were even joined by our distributors in Southeast Asia, TechSource. Next time you're at a RoboCup event, please stop by and say "hi". MathWorks and TechSource at our booth Background One of the biggest challenges in RoboCup is the jump from the Junior... 
Designing a waterproof, airpowered wheelchair that lets everyone enjoy the water
15 Jan 2018  4:00 pmQ: What uses no batteries, runs on air, and is designed to let everyone splash around in a water park? A: A waterproof, airpowered wheelchair called the PneuChair. Mobility and accessibility. For many people with disabilities, the mobility provided by powered wheelchairs has greatly expanded accessibility, enabling them to work, shop, and travel independently. But the electronics and the batterypowered nature of these devices mean they shouldn’t get wet. Using an electricpowered wheelchair in downpours or on a street strewn with puddles can be problematic, let alone using one at a beach or a pool. Accessibility is still limited. Now, there is a powered wheelchair that can get wet. Researchers... 
Leveraging cloud capabilities from MATLAB
14 Jan 2018  4:00 pmMy day job involves using MATLAB analytics at the heart of big, powerful solution stacks both on the Cloud and running onpremise. The beauty of modern MATLAB as a part of the solution stack is that it offers an unparalleled environment to quickly develop and leverage various technologies to build complete solutions.From an architecture perspective, the unique value proposition that MATLAB offers is that its extensibilitybydesign enables me to choose the bestinclass technology products and services to construct my solution.Why MATLAB?Let us ask MATLAB that question and exercise the well known function that provides succinct answers to nearly any question.why % ans = % % 'Some tall and rich system...



Homeschool Math Blog

Get Math Mammoth at 25% off!
16 Jan 2018  6:03 amGet Math Mammoth AND Make It Real Learning downloads & CDs at 25% off at MathMammoth.com.Simply use the "Add to cart" buttons at MathMammoth.com website, and then use the coupon code MMJAN18.This promotion is valid till January 31, 2018. 
Math Mammoth Blue Series  the basics
8 Jan 2018  4:59 pmThis video gives you an overview of Math Mammoth Blue series books:In case you don't know, the Blue Series books, being topical, are perfect for filling in gaps, to provide additional instruction & review on a certain math topic, or to help a student who is seriously behind to catch up.There are nearly 50 different books, which cover all math topics for grades 17  from addition, subtraction, multiplication, and division to fractions, decimals, percents, geometry, equations, statistics, and so on.Learn more at https://www.mathmammoth.com/blueseries.php! 
A new prime has been found (2018)
5 Jan 2018  6:01 amThe GIMPS project has discovered the largest prime to date... it's a Mersenne prime, which means it is of the form 2^n − 1 for some whole number n.☺In this case, it is 2^77,232,917 − 1. This number has 23,249,425 digits, and it's nearly one million digits longer than the previous Mersenne prime found.Read about the discovery here.The work to find these really large primes is done by running specialized software on many regular computers  in fact, anyone with a modern computer can help in this project! 
2018 Mathematics game
1 Jan 2018  6:07 amWelcome to 2018! Here's a FUN mathematical activity you (or your kids) can be entertained by on this first day of the year  and beyond... some might get involved in it enough to spend a few days on it 😁It's the 2018 Mathematics game! This is a yearly tradition where we try to form all the whole numbers from 1 through 100 using ONLY the digits in the particular year, in this case, 2, 0, 1, and 8.Head on to https://denisegaskins.com/2018/01/01/2018mathematicsgamejointhefun/ to read the complete rules. 
Math Mammoth Light Blue series  overview  video
29 Dec 2017  9:20 amWatch this video to learn the basics of Math Mammoth Light Blue Series  the complete curriculum. You'll learn about what is offered, mastery versus spiral, what kind of review the curriculum supplies, and where to get started.



Denise Gaskins' Let's Play Math

Cultivate Mathematical Curiosity
17 Jan 2018  4:21 am“Cultivating thinking skills is the main reason for teaching math. It is the mind’s perfect playground for shaping up. … To begin developing thinking, you must first have a child who is curious. For without curiosity, there is only forced thinking. … The problem with traditional math is it jumps to the punchline. … Absolutely no mystery or suspense is developed in traditional math books. Why? Apparently, someone thought math was without mystery. That math is a definitive subject of rules and algorithms that all have been discovered. … We must persuade children that math is a worthy pursuit through interesting stories, examining quirky math properties, and asking good questions.” — Lacy Coker 5 Tips to... 
Learning Mathematics Is a Deep Mystery
10 Jan 2018  4:53 amOf all the myths about mathematics, the one I find most blatantly wrong is the idea that some people are just born knowing the answers. In my experience, when you confront a genuine puzzle, you start out not knowing, no matter who you are. … Moreover, “knowing” the answers can be a trap; learning mathematics is about looking at what you thought you understood and seeing that there’s deeper mystery there than you realised. — Dan Finkel A Mathematician at Play Puzzle #1 Puzzles for Learning Mathematics If you’d like to practice learning mathematics by confronting genuine puzzles, Dan’s “A Mathematician at Play” series looks like a wonderful place to start. Some of these puzzles are classics, others... 
Learning Math Requires Imagination
3 Jan 2018  4:41 am“Teach mathematics the way we learn any other subject: Make it visual, make it concrete, not dependent on meaningless, abstract symbols, employ all the senses! … If math is such an important subject (and it is) why teach it in a way that is dependent on a child’s weakest mental ability: memory, rather than her strongest mental ability: imagination?” — Geoff White The Grade 10 Math Crunch, or Hitting the Wall at Grade 10 Mathematics and Imagination How can we stir up our students’ imagination? Teachers have struggled with this question for years — perhaps since the beginning of the profession. Consider these comments by W. W. Sawyer in Mathematician’s Delight: “Earlier we considered the argument,... 
2018 Mathematics Game — Join the Fun!
1 Jan 2018  4:06 amLet’s resolve to have fun with math this year. Ben has posted a preview of 2018’s mathematical holidays. Iva offers plenty of cool ways to think about the number 2018. And Patrick proposes a new mathematical conjecture. But my favorite way to celebrate any new year is by playing the Year Game. It’s a prime opportunity for players of all ages to fulfill the two most popular New Year’s Resolutions: spending more time with family and friends, and getting more exercise. So grab a partner, slip into your workout clothes, and pump up those mental muscles! For many years mathematicians, scientists, engineers and others interested in mathematics have played “year games” via email and in newsgroups. We don’t... 
A Beautiful Puzzle
31 Dec 2017  4:24 amThis lovely puzzle (for upperelementary and beyond) is from Nikolay BogdanovBelsky’s 1895 painting “Mental Calculation. In Public School of S. A. Rachinsky.” Pat Ballew posted it on his blog On This Day in Math, in honor of the 365th day of the year. I love the expressions on the boys’ faces. So many different ways to manifest hard thinking! Here’s the question: No calculator allowed. But you can talk it over with a friend, as the boys on the right are doing. You can even use scratch paper, if you like. Thinking About Square Numbers And if you’d like a hint, you can figure out square numbers using this trick. Think of a square number made from rows of pennies. Can you see how to make the nextbigger...



Basic mathematics blog

Order of Rotational Symmetry
18 Jan 2018  3:40 pmLearn how to find order of rotational symmetry for some geometric figures 
Symmetry Worksheets
18 Jan 2018  8:44 amLines of symmetry worksheets and rotational symmetry worksheet 
How to solve radical equations
15 Jan 2018  8:55 amLearn how to solve radical equations with rational exponents and those with square roots 
Interval Notation
12 Jan 2018  4:46 amLearn what intervals are in math. Learn everything you need to know about interval notation. 
How to estimate fractions
11 Dec 2017  5:45 amLearn how to estimate fractions with this easy to follow lesson.



Computational Complexity

A Sensitive Game
18 Jan 2018  9:47 amLast month I posted about the sensitivity conjecture and today I would like to talk about an interesting game developed by Gilmer, Koucký and Saks and independently by Druckerthat could yield a proof. Consider the following game on n bits among three players, Alice, Bob and Carol. The game works as follows: Carol picks a bit position and Alice sets that bit to 0 or 1. Carol then picks another unused bit position and Alice sets that bit as well. This repeats until the last bit which Carol gets to set herself. The bits are then revealed to Bob who has to give a set of bit positions that includes the bit Carol set at the end. Alice and Bob can work out a strategy ahead of time with the goal of minimizing... 
Donald Knuth Turns 80 years and 6 days
16 Jan 2018  8:41 amCelebrating Donald Knuth's 80th birthday, or 80 years+ 7 days birthday seems odd. Should we use powers of 2? Hmm too few, just 32 and 64 really. And having a 32year celebration for someone is unusual. How about numbers that end in 0 in base 8. 64 would be 100, 72 would 110, 80 would be 120 so AH we would be celebrating! So lets Celebrate! LANCE: One of us should blog about Don Knuth turning 80. BILL: How about both of us, sep posts? Lance had his posthere. Now its my turn. Donald Knuth was the first person (roughly history is not as definite as mathematics) to use mathematics to analyse algorithms. This may seem like an obvious thing to do but that's easy to say in retrospect. And he never lost... 
Donald Knuth Turns Eighty
10 Jan 2018  5:26 amWe've kept this blog going long enough that we start repeating our celebrations. Ten years ago Bill celebrated Don Knuth's 70th Birthdayand today Donald Knuth turns 80. While he celebrates inPiteå, Sweden with its less than 4.5 hours of daylight, we wish him a happy birthday from stateside. Looking back in this blog, in 2015 I wrote about the history of the history of computing including this wonderful talk by Knuth, Let's Not Dumb Down the History of Computer Science. Donald Knuth is known for many things, important algorithms, the brilliant book series The Art of Computer Programming, TeX, the many awards he's won and the award named after him. In my favorite story, back in the 70's when Knuth... 
A new largest prime found!
7 Jan 2018  6:21 pmA new largest KNOWN prime has been discovered and its 23 million digits long. Nate Silver's website had an article about it (written by Oliver Roeder)here An article about why people do this ishere Lance posted about finding large primes in 2006here I'll just make some random comments 1) The prime is 277,232,9171 2) The prime is not much bigger than the previous champion. 3) More generally, the graph (in Oliver Roeder's article) shows from 1600 to about 1951there was slow progress but since then there has been LOTS of progress. See the table inthisarticle. I had wanted to say every year a new prime was found but, alas, not that simple a pattern. Even so, lots of new records. 4) I"ll list the... 
Which of these Math acronyms are well known?
5 Jan 2018  8:20 amThe last time I taught Grad Ramsey Theory there were very good math grads and ugrads in it. They used some acronyms  some I knew, some I didn't know (but know now). I am sure some are well known and some are now. I don't know which is which. Here is the list and comments WLOG Without Loss of Generality. This one I know and it seems well know When Googled the first page is all this definition. (Maybe I shouldn't use the term ``Googled'' I've heard that brand names don't like it when they become generic terms like `Googled'. Kleenex, Photoshop, Xerox had this fate. Their is a word for it genericide) ITOT It turns out that. An Applied Math Prof used this in a course I had in 1977. I have not seen...



The Math Less Traveled

New Mersenne prime
11 Jan 2018  3:29 pmWith impeccable timing, just in the middle of my series about primality testing, a new Mersenne prime has been announced, a little under two years after the previous one. In particular, it has been shown that is prime; this is now the largest known prime number. If you want to understand what computers are actually doing when they check a Mersenne number for primality, I wrote a whole series about it two years ago: visit this list of my post series and search for “LucasLehmer”. 
A tale of three machines
3 Jan 2018  12:29 pmThe Fundamental Theorem of Arithmetic tells us that any positive integer can be factored into a product of prime factors.1 Given a positive integer , this leads naturally to several questions: <ol> <li>What is the prime factorization of ?</li> </ol> This is the most obvious question we could ask. The Fundamental Theorem tells us such a prime factorization must exist (and must be unique up to the order of the factors), so we can simply ask what it is. For example, if , then the answer would be . What we really want is some sort of machine (let’s call it a factorization machine) where we can put a positive integer in one end, the machine makes whirring, griding, and beeping sounds for a while, and then a factorization pops... 
Fermat’s Little Theorem: proof by group theory
21 Dec 2017  12:17 pmIt’s time for our third and final proof of Fermat’s Little Theorem, this time using some group theory. This proof is probably the shortest—explaining this proof to a professional mathematician would probably take only a single sentence—but requires you to know some group theory as background. Fortunately I’ve written about the relevant group theory before, so I will link to the relevant posts if you want to read up on the background. This time we’re going to prove statement 1: If is prime and is an integer where , then . Consider the set . I claim that this set forms a group under the operation of multiplication . To verify this we need to check several things: <ul> <li>First, we need to check that...</li></ul> 
Post without words #21
18 Dec 2017  2:36 pm 
Fermat’s Little Theorem: proof by necklaces
12 Dec 2017  9:21 amIt’s time for our second proof of Fermat’s Little Theorem, this time using a proof by necklaces. As you know, proof by necklaces is a very standard technique for… wait, what do you mean, you’ve never heard of proof by necklaces?! Honestly, what do they teach in schools these days…? …just kidding! I’ll explain what necklaces are in a minute. But first, let me state that we will be proving statement (3) of FlT, namely, If is prime and is any integer, then . Subtracting from both sides, this is the same as saying that , which is in turn the same as saying that is evenly divisible by . As we have already seen, this statement is equivalent to the other statements (1) and (2) of Fermat’s...



WordPress Tag: Mathematics

Hot spot suburbs to benefit from Games fever
20 Jan 2018  11:00 am{“contentType”:”NEWS_STORY”,”id”:{“value”:”e18 
आईसीयु में गुणवत्ता की सांसे गिन रही वर्तमान भारतीय शिक्षा व्यवस्था
20 Jan 2018  8:51 amअपने आस पास की कई परिस्थितियों को देखकर कई बार मेरेआपके दिलो दिमाग में एक करंट के तीव्र प्रहार संग कशक सी उठती हैं। इतनी कसक के वावजूद अनेको बार हमसब नियति के भरोसे छोड़कर इन मुद्दों से मुख मोड़ लेते हैं, और कायरता के आत्मगलानी में दहकते ज्वाला में वसूलो के होलिका दहन करते... 
Mathematical Mystery
20 Jan 2018  7:46 amI like discovering and exploring mathematical sequences. There is one that, like the Fibonacci seque 
How to fasttrack a home deposit
20 Jan 2018  5:30 am{“contentType”:”NEWS_STORY”,”id”:{“value”:”977 
Pure Maths 1. 9709/13/M/J/17 q4
20 Jan 2018  4:28 am



mathrecreation

bipartite art
13 Jan 2018  2:29 pmA bipartite graph consists of two sets of nodes, N and M, where every node in N is connected to every node in M by an edge.If you set up the nodes N and M on a pair of circles centred around the same point, you can get quite a variety of nice looking diagrams. As part of playing around with generating svg images using d3js, I set up a page that allows you to create some 'bipartite art.' Some of the diagrams turned out nicely, particularly when you hide the nodes completely:Try it out at:https://dmackinnon1.github.io/bipartite2.html 
Hello Phyllotaxis
19 Dec 2017  11:19 amPhyllotaxis spirals are a favorite of recreational math  often explored in connection to other perennial topics such as the golden mean and Fibonacci numbers.When I am trying out a new data visualization platform or programming language, I like to try to draw phyllotaxis spirals as a sort of "Hello World." My latest "Hello Phyllotaxis" came about during the early stages of learning how to useD3js. You can try it out here. Sketched with D3js (seehere)Here is a "Hello Phyllotaxis" for Desmos (blog post here). Over the years I have also pointed to phyllotaxislike sketches using Fathom here, Processing here, and R here.In the image above, the dark circles are chosen by skipcounting out from the center ... 
Constructing Portia's Caskets
7 Dec 2017  7:39 pmIn Shakespeare's The Merchant of Venice, Portia tested her suitors by asking them to discover which of three caskets concealed her portrait. Inscriptions on the caskets presented riddles that would challenge the virtue of her potential mates. In his classic What is the Name of this Book? logician Raymond Smullyan, imagined several generations of clever Portias, who presented potential suitors with caskets inscribed with logic puzzles that provided the key to finding her hidden portrait.On this page I have set up interactive puzzle generators that correspond (roughly) to Smullyan’s first three generations of Portias. In this post I thought I would describe what I find interesting about the way the puzzles... 
the island of knights and knaves
18 Nov 2017  6:16 amThere is classic type of logic problem where we are asked to imagine an island consisting of two types of people: those that always tell the truth (knights), and those that always tell lies (knaves). In puzzles based on this trope, the islanders make statements, and we have to figure out which islanders are knights and which islanders are knaves.This pagewill generate knight and knave puzzles of varying difficulty. Here’s an example: An "easy" puzzle from https://dmackinnon1.github.io/knaves/ The grandfather of all these puzzles is an actual islander who referenced an actual island  around 600 BCE, the Cretan Epimenides is credited with the statement “All Cretans are liars.” The fun has not... 
trihexagonal & rhombille tilings
10 Nov 2017  12:14 pmThe image above is the superposition of two tessellations. The dark bold lines show a tiling of the plane that is made up of regular hexagons and triangles (thetrihexagonal tiling).The light lines show portions of the reciprocal (or dual) of the darklined tessellation.To create a reciprocal tessellation, for every two adjacent tiles in the original tessellation, join the centers of the two tiles by a line segment perpendicular to their shared side. This line segment becomes the edge of one of the tiles in the reciprocal tessellation.The reciprocal of trihexagonal tiling is made up entirely of rhombs, the rhombille tiling.



PlainMath.net

Simplification Basic Concepts with Examples
14 Jan 2018  11:35 pmSimplification is very easy and important topic according to banking, SSC and other govt. exam perspective. Simplification is based on basic math calculations and some other algebraic topics. Simplification is less time consuming and having higher accuracy.Basic Topics on which Simplification is based on:<ul><li>BODMAS rules</li><li>Approximation</li><li>Percentage</li><li>Squares</li><li>Cubes.</li></ul>Simplification Tricks and Techniques:Simplification is converting or finding the missing values from the long and complex expressions using the basic BODMAS rules where:B → Stands for bracket and operation of brackets in the order ( ), { } and [ ]O → Stands for ‘of’ (usage as ✕)D → Stands for Division (/)M → Stands for Multiplication (✕)A →... 
How to solve Averages Questions Quickly
6 Jan 2018  1:51 amToday we will discuss first basic Arithmetic Mathematics topic which is very important according to our Govt. exams perspective.Basic Definition<ul><li>Average means a number expressing the central value in a set of data which is calculated by the sum of values in the set by their numbers.</li><li>The main term of average is equal sharing of values among all, where it may share persons or things.</li></ul>FormulaWe obtain the average of a number using the formula that is:Average = (Sum of observations / Number of observations)Examples:Question 1Find the average of numbers? 23, 25, 65, 12, 50Solution:According to the formula:Average = (23+25+65+12+50)/5= 175/5 = 35Hence 35 is the average of these numbersBut this is the basic Average... 
Ratio and Proportion: Concepts and Tricks
2 Jan 2018  12:07 amThe ratio is defined as the quantitative relation between two values showing the number of times one value contains or is contained within the other.The ratio in the mathematical term used to compare two similar quantities expressed in the same units.The ratio of two numbers ‘x’ and ‘y’ is denoted as x:yNote: Fractions and ratio are same but the only difference is that ratio is unit less quantity but fraction is not.Basics Properties of Ratio<ul><li>A:B = mA : mB where m is constant</li><li>a:b:c = A:B:C is equivalent to `\frac { a }{ A } = \frac { b }{ B } = \frac { c }{ C } `</li><li>This property has to be used in the ratio of three things</li><li>The inverse ratios of two equal ratios are equal. This property is called...</li></ul> 
Percentages Concepts and Formulae
28 Dec 2017  4:28 amPercentage means out of 100. We can easily convert any fractional and decimal value into the percentage. The percentage is a very important topic for Bank PO, Bank Clerk, SSC, Railways etc. The percentage is also a very important topic for Data interpretation, Simplification and for other Quants Arithmetic topics.Convert Decimal value into Percentage:To convert decimal value into percentile value simply multiple the decimal numbers by 100 and it will be converted into percentile value.Examples:1. Convert 0.65 into percentage0.65`\times`100 = 65%2. Convert 4.05 into percentage4.05`\times`100 = 405%Convert fractional value into PercentageTo convert fractional value into percentile value multiply fractional by... 
How to find Cube Root of a Number Quickly
28 Dec 2017  12:21 amLearn shortcuttrick to find Cube Root of any number within 5 seconds. 2 Steps method to learn how to find Cube Root of any number.Always Remember Some Basic Cubes`1^{ 3 } `= 1`16^{ 3 } `= 4096`2^{ 3 } `= 8`17^{ 3 } `= 4913`3^{ 3 } `= 27`18^{ 3 } `= 5832`4^{ 3 } `= 64`19^{ 3 } `= 6859`5^{ 3 } `= 125`20^{ 3 } `= 8000`6^{ 3 } `= 216`21^{ 3 } `= 9261`7^{ 3 } `= 343`22^{ 3 } `= 10648`8^{ 3 } `= 512`23^{ 3 } `= 12167`9^{ 3 } `= 729`24^{ 3 } `= 13824`10^{ 3 } `= 1000`25^{ 3 } `= 15625`11^{ 3 } `= 1331`26^{ 3 } `= 17576`12^{ 3 } `= 1728`27^{ 3 } `= 19683`13^{ 3 } `= 2197`28^{ 3 } `= 21952`14^{ 3 } `= 2744`29^{ 3 } `= 24389`15^{ 3 } `= 3375`30^{ 3 } `= 27000Trick 1.Cube root for 2406104: Number Split...



MIND Research Institute Blog

Why You Need More Than "One Good Study" To Evaluate EdTech
16 Jan 2018  11:30 amYou probably wouldn’t be surprised to hear that every education technology (edtech) publisher says their product works, and they all have some sort of supporting evidence. But oftentimes that evidence—if it’s fully experimental—is very scarce. In many cases, it’s just one study. Yet just that one piece of "gold standard" evidence is often considered good enough by educators when making a purchasing decision. But it shouldn’t be. Educators aren’t the only ones stuck in this “one good study” paradigm. Highly credible edtech evaluation lists give top marks for just one RCT (randomized controlled trial). Meanwhile, any other program with studies not meeting the RCT bar of rigor is by... 
Recap: Associated Teachers of Math in CT (ATOMIC) 2017 Fall Conference
10 Jan 2018  11:00 amMy introduction to the Associated Teachers of Math in Connecticut (ATOMIC) was the 2017 Fall Conference on December 4th, and theday certainly lived up to the group's bold acronym. Passionate discourse and a strong sense of community shone through in every workshop and presentation, as a wide breadth of mathrelated topics were addressed. The importance of engaging students in conversation as well in relation to productive struggle and implementing technology in classrooms came up again and again. I felt the atmosphere of comraderie and support from the first moments of the day, as morning began with a celebration of several local teachers for their efforts in math education, and an excited discussion... 
Students Choose Math for Christmas
3 Jan 2018  9:00 amTwas the day of Christmas, when all through the house,Not a creature was stirring...except for a (computer) mouse! While the stockings were hung by the chimney with care (around 6 AM) 823 youths logged in to play ST Math there! No longer nestled snug in their beds,But at their devices, learning math instead... (ST Math parody of Clement C Moore’s The Night Before Christmas) A yearly tradition of mine as Database Analytics Manager at MIND Research Institute is discovering how many students log into ST Math throughout Christmas day. These students are choosing to learn math—even when school is not in session.This year on Christmas day, 14,921 unique students logged in a total of 27,306 times. ... 
What are Schemas?
27 Dec 2017  9:00 amThe word schema has been used for more than 100 years by psychologists but unfortunately, in its long history, researchers have not settled on a clear and precise definition of what exactly is meant by it.Nevertheless, in the following, I will (hopefully) provide a useful description of what a schema is and how it is related to learning and education. A first hint of what a schema is can be derived from the word’s Greek origin, which means ‘plan’. In modern psychology, schema describes a memory trace that can hold relatively simple but also quite complex information. Example of a rather simple schema: Cars are a mode of transportation. Example of a more complex schema: Driving a car... 
2017: A Year of Transformation
20 Dec 2017  9:00 amTransformation often indicates innovation.It is the visionaries and changemakers that make the greatest impact on our world. At MIND, we continue to change in order to meet the needs of the students and educators that we serve. As education and technology transform, so do we. And as we transform, so do our ST Math schools, teachers and students. In 2017, we expanded our reach to more than1,200,000students. ST Mathhelps them to "see the math and grow" as theydevelop a deeper understanding of math concepts. 2017 brought a significant change to MIND  a new website to showcase the power and impact of ST Math. We also continued to engage communities in fantastic mathematical experiences. From...
