Saturday's roundup: University Prep tops Math & ScienceThe Detroit NewsUniversity Prep defeated Detroit University Prep Math and Science, 8548, Saturday afternoon at The Palace of Auburn Hills. Tremaine Brown had 18 points and six rebounds, and Colyn Waldron had 13 points and seven assists for University Prep (93).
Math

Most Topular Stories

Saturday's roundup: University Prep tops Math & Science  The Detroit News
MATH  Google News1 Feb 2015  12:55 am 
Super Bowl XLIX: Meet the neuroscientist cheerleader battling stereotypes
Search for "math OR mathematics"1 Feb 2015  7:48 amNote: We do not store your email address but your IP address will be logged to prevent abuse of this feature. Please read our Legal Terms & Policies More than a 100 million people are likely to tune into the Super Bowl tonight, and one cheerleader will use that platform to challenge stereotypes of the profession. 
Mobile and interactive media use by young children: The good, the bad and the unknown
Mathematics News  ScienceDaily30 Jan 2015  7:26 amMobile devices are everywhere and children are using them more frequently at young ages. The impact these mobile devices are having on the development and behavior of children is still relatively unknown. Researchers review the many types of interactive media available today and raise important questions regarding their use as educational tools, as well as their potential detrimental role in stunting the development of important tools for selfregulation. 
Does Mathematical Ability Predict Career Success?
Scientific American  Math29 Jan 2015  12:00 pmA study that has tracked students exceptional in math for 40 years checks their accomplishments  Read more on ScientificAmerican.com 
Closing the Math Gap for Boys
NYT > Mathematics31 Jan 2015  9:00 pmAn intensive tutoring and mentoring program in Chicago has produced big improvements for kids.

MATH  Google News

Saturday's roundup: University Prep tops Math & Science  The Detroit News
1 Feb 2015  12:55 amSaturday's roundup: University Prep tops Math & ScienceThe Detroit NewsUniversity Prep defeated Detroit University Prep Math and Science, 8548, Saturday afternoon at The Palace of Auburn Hills. Tremaine Brown had 18 points and six rebounds, and Colyn Waldron had 13 points and seven assists for University Prep (93). 
North Hall's Science, Technology, Engineering and Math Academy drawing ...  Gainesville Times
31 Jan 2015  7:52 pmGainesville TimesNorth Hall's Science, Technology, Engineering and Math Academy drawing Gainesville TimesManzo was one of only three female students who enrolled in the inaugural class of North Hall's Science, Technology, Engineering and Math Academy. The 2yearold magnet program is one of the many programs of choice offered by the Hall County School ... 
Babson math professor talks statistics and Super Bowl  Boston Globe
31 Jan 2015  6:19 pmBabson math professor talks statistics and Super BowlBoston GlobeCleary, who has a doctorate in statistics and is chairman of the mathematics and science division at Babson College in Wellesley, once taught a math and sports strategy class that packed them in at Bentley University in Waltham. In a particularly 
Super Bowl Bets, Meet Math  Huffington Post
31 Jan 2015  2:24 pmSuper Bowl Bets, Meet MathHuffington PostWhile I'm not here to debate the ridiculousness of that figure  do you think any states could use that tax revenue?  I am here to say that if you're going to partake in any of that delicious, grayarea action, you may as well use math to give you an 
Closing the Math Gap for Boys  New York Times
31 Jan 2015  11:19 amNew York TimesClosing the Math Gap for BoysNew York TimesThey're among 1,326 boys in 12 public schools in this city who are sweating over math for an hour every day. Kids like these fare worst on every measure of academic achievement, from test scores to graduation rates. On the 2013 National Assessment of ...Students participate in math competitionThe Daily CourierSmall class size is big benefit of private high schoolsOmaha WorldHeraldall 5 news articles »

Search for "math OR mathematics"

Super Bowl XLIX: Meet the neuroscientist cheerleader battling stereotypes
1 Feb 2015  7:48 amNote: We do not store your email address but your IP address will be logged to prevent abuse of this feature. Please read our Legal Terms & Policies More than a 100 million people are likely to tune into the Super Bowl tonight, and one cheerleader will use that platform to challenge stereotypes of the profession. 
"Silicon Valley" Cast Learns Where Silicon Valley Is
1 Feb 2015  7:41 amIn its first season last year, HBO's sitcom "Silicon Valley" painted a sharp caricature of tech culture and business. In San Francisco yesterday, some of the show's stars came facetoface with their targets. 
Omaha Nebraska
1 Feb 2015  6:56 amThe "newsiest" iReports are sorted in lists at the top of each section on the homepage and in other places around the site. Newsiest is a calculation that combines freshness, popularity, activity and ratings. 
Kansas City Chiefs Should Target WR Sammie Coates In 2015 NFL Draft
1 Feb 2015  6:54 amLast offseason, wide receiver was considered one of the Kansas City Chiefs ' biggest needs, and the team did next to nothing to improve at the position. As anyone who understands simple math could have predicted, wide receiver is still one Kansas City's biggest weaknesses. 
Not your average teenage scientists: Valerie Ding and Anika Raghuvanshi dig into...
1 Feb 2015  6:40 amThe first indication is the names of their projects. Readers need a degree in engineering just to understand the titles.

Mathematics News  ScienceDaily

Mobile and interactive media use by young children: The good, the bad and the unknown
30 Jan 2015  7:26 amMobile devices are everywhere and children are using them more frequently at young ages. The impact these mobile devices are having on the development and behavior of children is still relatively unknown. Researchers review the many types of interactive media available today and raise important questions regarding their use as educational tools, as well as their potential detrimental role in stunting the development of important tools for selfregulation. 
Maximizing access to mobile networks by seamlessly 'offloading' some traffic
27 Jan 2015  6:58 amMathematical analysis reveals how to maximize access to mobile networks by seamlessly ‘offloading’ traffic to smaller WiFi and cellular systems. 
Students master math through movement using Kinect for Windows
26 Jan 2015  10:52 amSignificant gains in the understanding of angles and angle measurements by elementary school students are seen in those who performed bodybased tasks while interacting with a Kinect for Windows mathematics program. 
Device for guided surgery of deviations in long bones patented
26 Jan 2015  8:22 amA device that can be applied in surgeries to correct deviations in long bones has been patented by researchers. The research team found how to use the 3D reconstruction of an affected bone to determine the mathematical formula that in a given case is suitable to design such a device. This device is adjusted to a specific deviated bone and enables a surgeon to set the cutting angle that best suits the bone, and, also, to set the location and orientation of holes that accept the future addition of a corrective prosthesis. It enables realigning the body extremity that is operated on, and also… 
Medical radiation may be reduced to onesixth with new mathematical discovery
26 Jan 2015  5:40 amOne of this century's most significant mathematical discoveries may reduce the number of measuring points to onesixth of the present level. This means reduced exposure to radiation and faster medical imaging diagnostics.

Scientific American  Math

Does Mathematical Ability Predict Career Success?
29 Jan 2015  12:00 pmA study that has tracked students exceptional in math for 40 years checks their accomplishments  Read more on ScientificAmerican.com 
Apply for Science Communication Awards, Fellowships and Internship Programs
29 Jan 2015  5:12 amParticipation of broader audiences in science, technology, engineering, mathematics (STEM) requires engaging underserved audiences. The conduit of this engagement is communication.  Read more on ScientificAmerican.com 
3 Super Bowl Fun Facts
28 Jan 2015  5:00 amWant to amaze your friends at that Super Bowl party you're going to? All you have to do is hit 'em with some Super Bowl math fun facts. Keep on reading to learn what they are!  Read more on ScientificAmerican.com 
Genetic Memory: How We Know Things We Never Learned
28 Jan 2015  4:00 amI met my first savant 52 years ago and have been intrigued with that remarkable condition ever since. One of the most striking and consistent things in the many savants I have seen is that that they...  Read more on ScientificAmerican.com 
Learn to Count like an Egyptian
26 Jan 2015  5:30 amLast semester, I began my math history class with some Babylonian arithmetic. The mathematics we were doing was easy—multiplying and adding numbers, solving quadratic equations by completing...  Read more on ScientificAmerican.com

NYT > Mathematics

Closing the Math Gap for Boys
31 Jan 2015  9:00 pmAn intensive tutoring and mentoring program in Chicago has produced big improvements for kids. 
Chickens Agree: Left Means Less; Right Means More
29 Jan 2015  9:00 pmScientists found that newborn chicks, like people, seem to map numbers spatially, associating smaller amounts with the left and larger ones with the right. 
Best Selling Science Books
12 Jan 2015  9:00 pmTitles, fundamentally based on the sciences, as selected by the science editors from all adult nonfiction books reported to The New York Times for the month. 
Colleges Reinvent Classes to Keep More Students in Science
26 Dec 2014  9:00 pmA small but growing number of universities have adopted a more engaging, demanding form of the standard introductory courses, and research suggests the new style works better. 
New Math Standards a Hurdle for Some Texas Students and Teachers
11 Dec 2014  9:00 pmMore rigorous math curriculum is in use in Texas elementary and middle schools, and students are required to learn some concepts up to two years sooner.

Loren on the Art of MATLAB

Introduction to Market Basket Analysis
29 Jan 2015  5:20 amYou probably heard about the "beer and diapers" story as the often quoted example of what data mining can achieve. It goes like this: some supermarket placed beer next to diapers and got more business because they mined their sales data and found that men often bought those two items together.Today's guest blogger, Toshi Takeuchi, who works in the web marketing team here at MathWorks, gives you a quick introduction to how such analysis is actually done, and will follow up with how you can scale it for larger dataset with MapReduce (new feature in R2014b) in a future post.ContentsMotivation:… 
What was Sheraton Trying to Tell Us?
23 Jan 2015  12:31 pmWhat was Sheraton Trying to Tell Us?Today's post is by Sean de Wolski and me. We spent a few days this week at training for the start of the year, held in a Sheraton hotel.At the completion of our stay, we each got a note in our rooms. Here is a sample.Actually we read this in with the App from the Image Acquisition Toolbox and cropped the image (imcrop from Image Processing Toolbox) to just display the mysterious binary text.Using functionality from the Computer Vision System Toolbox, we then converted our binary text using the ocr (Optical Character Recognition) function.Icrop =… 
Process “Big Data” in MATLAB with mapreduce
15 Jan 2015  5:57 amToday I’d like to introduce guest blogger Ken Atwell who works for the MATLAB Development team here at MathWorks. Today, Ken will be discussing with you the MapReduce programming technique now available in the R2014b release of MATLAB. MapReduce provides a way to process large amounts of filebased data on a single computer in MATLAB. For very large data sets, the same MATLAB code written using MapReduce can also be run on the "big data" platform, Hadoop®.ContentsAbout the dataIntroduction to mapreduceUse mapreduce to perform a computationCreate a datastoreCreate a map… 
Using RESTful Web Service Interface in R2014b MATLAB
31 Dec 2014  7:08 amFT Guest blogger, Kelly Luetkemeyer, who is a software developer at MathWorks, returns with an article on accessing RESTful web services using MATLAB. Kelly's previous articles included Tracking a Hurricane using Web Map Service and Visualizing the Gulf of Mexico Oil Slick using Web Map Service. Kelly was the lead developer of the new RESTful web service interface feature in MATLAB.ContentsIntroductionObtain Job ListingsLearn more about MathWorks from FacebookUse RESTful Web Services to obtain Airport and Weather InformationDisplay Route from Boston Logan to MathWorksDisplay High Resolution… 
Subclasses in MATLAB
17 Dec 2014  10:10 amI'm pleased to have Dave Foti back for a discussion of subclassing and class hierarchies in MATLAB. Dave manages the group responsible for objectoriented programming features in MATLAB.In computer science, a class represents a set of objects that share a common definition, usually including data and functions or behaviors. A subclass represents a subset of objects that share a more specific definition usually by adding or specializing data and/or functions defined in a superclass. In practice subclassing has been used to reuse functionality for a new and more specialized purpose. In recent…

Homeschool Math Blog

Math worksheets in PDF form
29 Jan 2015  6:43 amTime to celebrate!I've been working hard on the various worksheet generators at HomeschoolMath.net, and now all of them make worksheets both in PDF and html formats!Below you can see examples of the variety of the worksheets: The advantage of the PDF format is that it's portable and you'll instantly see how it prints.The advantage of the html format is that you can edit it! Simply save the worksheet to your device and then open the file in a word processing software.The worksheets cover topics from grade 1 through prealgebra, such as: all the basic operations, clock, money, measuring,… 
Happy Face Math
22 Jan 2015  3:10 pmImage credit Charlie SmithSome pointers/explanations in case you find these cryptic:A happy face to the power of 1 is the inverse of happy face.Happy face squared or cubed are pretty easy."sup" in mathematics is the supremum of a set.Then we have a partial derivative of Happy Face.Next, sine of Happy Face = Happy Face sign by the road.In the second column, Re( :) ) is the real part of Happy Face, which is Happy Face without the eyes (without i's).Im of Happy Face is the imaginary part of Happy Face = the eyes (the i's).[Note, i is the imaginary unit used with imaginary numbers.]Triangle… 
Homeschool Buyers Coop group buy for Math Mammoth
19 Jan 2015  12:53 pmHomeschool Buyers Coop is running a GROUP BUY for large Math Mammoth bundles at 40% discount – just for one week!The offer expires on January 26, 2015. 
Math Mammoth January 2015 sale!
15 Jan 2015  11:23 amFrom now till January 31, get 25% off of all Math Mammoth & Make It Real Learning downloads & CDs at Kagi store!Use the coupon code MAMMOTH at the order page at Kagi. At MathMammoth.com you can learn about the different books I sell and see samples. You will find links to Kagi's order pages on my site, on the various product pages. Or, if you are ready to order, you can use these direct links to the order pages: Order Light Blue seriesOrder the South African version of the Light Blue seriesOrder Blue seriesOrder Spanish versions of the Blue series booksOrder Golden and Green… 
Math Mammoth printed books sale
13 Jan 2015  10:43 amMath Mammoth printed books are on sale at Rainbow Resource Center starting today and running through January 19, 2015. The discount is 20%.

Let's Play Math!

Get in the Math Car
28 Jan 2015  8:07 amWednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Today’s quote is from @Mr_Harris_Math, via Twitter. Background photo courtesy of Forrest Cavale (CC0 1.0) via Unsplash. Get monthly math tips and activity ideas, and be the first to hear about new books, revisions, and sales or other promotions. Sign up for my Tabletop Academy Press Updates email list. 
Math Teachers at Play #82 via Mrs. E Teaches Math
26 Jan 2015  6:19 amThe January math education blog carnival is now posted for your browsing pleasure, featuring 23 playful ways to explore mathematics from preschool to high school: Math Teachers at Play #82 Highlights include: Young children making bar graphs. A wide variety of math games. Fractions on a clothesline. Quadrilaterals on social media. Nontransitive dice. Writing in math class. Negative number calculations made physical. Inverse trig graphing. Function operations. And much more! Click here to go read Math Teachers at Play #82. Get monthly math tips and activity ideas, and be the first to hear… 
Two Ways to Do Math
21 Jan 2015  5:37 amWednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Today’s quote is from Raoul Bott, via The MacTutor History of Mathematics archive. Background photo courtesy of Swedish National Heritage Board (CC BY 2.0) via Flickr. Get monthly math tips and activity ideas, and be the first to hear about new books, revisions, and sales or other promotions. Sign up for my Tabletop Academy Press Updates email list. 
Calling All Math Teacher Bloggers and Homeschoolers: Carnival Time!
20 Jan 2015  10:25 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. Browse all the past editions of the Math Teachers at Play… 
Ruth Beechick on Teaching
14 Jan 2015  6:51 am[Feature photo above by Samuel Mann (CC BY 2.0) via Flickr.] Here’s one more quote from homeschooling guru Ruth Beechick. It applies to classroom teachers, too! Everyone thinks it goes smoothly in everyone else’s house, and theirs is the only place that has problems. I’ll let you in on a secret about teaching: there is no place in the world where it rolls along smoothly without problems. Only in articles and books can that happen. — Ruth Beechick You Can Teach Your Chile Successfully (Grades 48)

Basic mathematics blog

Working together word problems
20 Jan 2015  7:26 pmWorking together word problems can be solved with proportions instead of the more complicated algebraic way 
Dice Roll Simulator
10 Nov 2014  6:25 amDice roll simulator to roll up to 4 dice online. It is like rolling dice in real life 
How to Multiply Matrices
28 Oct 2014  5:17 amLearn how to multiply matrices with crystal clear directions 
Add and Subtract Matrices
27 Oct 2014  9:34 amLearn to add and subtract matrices with this great lesson 
Compute with Scientific Notation
23 Oct 2014  5:40 pmLearn to compute with scientific notation. Add and subtract with scientific notation. Multiply and divide with scientific notation

Computational Complexity

Reusing Data from Privacy
29 Jan 2015  4:53 amVitaly Feldman gave a talk at Georgia Tech earlier this week on his recent paper Preserving Statistical Validity in Adaptive Data Analysis with Cynthia Dwork, Moritz Hardt, Toniann Pitassi, Omer Reingold and Aaron Roth. This work looks at the problem of reuse of the crossvalidation data in statistical inference/machine learning using tools from differential privacy. Many machine learning algorithms have a parameter that specifies the generality of the model, for example the number of clusters in a clustering algorithm. If the model is too simple it cannot capture the full… 
A nice problem from a Romanian Math Problem Book
26 Jan 2015  12:43 pm(All of the math for this problem is here)My Discrete Math Honors TA Ioana showed me a Romanian Math Problem book(She is Romanian) and told the following problem: (All ai in this post are assumed to be natural numbers) Show that for all n ≥ 6 there exists (a1,...,an) such that 1/a12 + ... + 1/an2 = 1. (sum of reciprocals squared) Normally my curiosity exceeds my ego and I would look up the answer.But it was in Romanian! Normally I would ask her to read the answer to me.But I was going out of town! Normally I would look it up the answer on theweb. But this is not the kind of thing the web is… 
There Should be an Algorithm
22 Jan 2015  5:03 amMy high school daughter Molly was reading her Kindle and said "You know how you can choose a word and the Kindle will give you a definition. There should be an algorithm that chooses the right definition to display depending on the context". She was reading a book that took place in the 60's that referred to a meter man. This was not, as the first definition of "meter" would indicate, a 39 inch tall male. A meter man is the person who records the electric or gas meter at your house. Today we would use a gender neutral term like "meter reader" if technology hadn't made them obsolete. Molly hit… 
The two defintions of Chomsky Normal Form
19 Jan 2015  6:33 amI have eight textbooks on Formal Lang Theory on my desk. Six of them define a CFG to be in Chomsky Normal Form if every production is of the form either A>BC or A> σ (σ a single letter). With that definition one can show that every efree grammar can be put in Chomsky Normal Form, and using that, show that CFL ⊆ P. There is a very minor issue of what to do if the CFL has e in it. Two of the books (Sipers and FloydBeigel) define a CFG to be in Chomsky Normal Form if every rule is A>BC or A> σ OR S>e and also that S cannot appear as one of the two… 
The Impact Factor Disease
15 Jan 2015  10:34 amThe Institute of Science Information (ISI) was founded in 1960 to help index the ever growing collection of scientific journals. The founder of ISI, Eugene Garfield, developed a simple impact factor to give a rough estimate of quality and help highlight the more important journals. Roughly the impact factor of a journal in year x is the average number of citations each article from years x1 and x2 receives in year x. Thomson Scientific bought out ISI in 1992 and turned the data collection into a business. Impact factors are not only being used to measure the quality of journals but of…

IMA Journal of Applied Mathematics  current issue

Erratum to: Poroelastic Materials Reinforced by Statistically Oriented Fibres  Numerical Implementation and Application to Articular Cartilage
16 Jan 2015  7:25 am 
The tangential cone condition for the iterative calibration of local volatility surfaces
16 Jan 2015  7:25 amIn this paper, we prove that the parametertosolution map associated to the inverse problem of determining the diffusion coefficient in a parabolic partial differential equation satisfies the local tangential cone condition. In particular, we show stability and convergence of the regularized solutions by means of Landweber iteration. Our result has an immediate application to the local volatility calibration problem of the Black–Scholes model for European call options. We present a numerical validation based on simulated data to this calibration problem and discuss the results. We also… 
A homogenization analysis of the compressible flow between a slider and a moving patterned rough surface
16 Jan 2015  7:25 amThe compressible flow between a slider and a moving rough surface is examined asymptotically and numerically in the limit of very small gap height. The roughness is assumed to consist of a welldefined periodic pattern of grooves whose amplitude and wavelength are of the order of the gap height. A twoscale homogenization analysis is employed to determine a nonlinear elliptic partial differential equation governing the leading order pressure in the gap on the scale of the slider. The equation involves coefficient functions that are determined numerically by averaging Stokes flows on the… 
Complete solutions to a class of eighthorder polynomial optimization problems
16 Jan 2015  7:25 amThis paper presents a new class of eighthorder canonical polynomials in Rn. Based on the sequential canonical dual transformation, all extrema are obtained. The method can be used to solve the associated seventhorder nonlinear algebraic equations. Optimality conditions are provided to find both global minimizers and local extrema. Applications are illustrated by examples. 
An efficient numerical algorithm for the L2 optimal transport problem with periodic densities
16 Jan 2015  7:25 amWe present an extension of the numerical method of Loeper and Rapetti (2005, Numerical solution of the Monge–Ampère equation by a Newton's algorithm. C.R. Acad. Sci. Paris, I, 319–324) for the Monge–Ampère equation to nonuniform target densities and adopt it to solve the optimal transport problem with quadratic cost. The method employs a damped Newton algorithm to solve the Monge–Ampère equation. We show that the algorithm converges for sufficiently large damping coefficients, for the case where the source and target densities are sufficiently…

eon

Translate
22 Jan 2015  8:59 pmIt’s slightly old but I only recently saw this article about how Google Translate make use of linear transformation. The new book on my desk eta products and theta series identities has the following quote in the preface. In der Theorie der Thetafunctionen ist es leicht, eine beliebig grosse Menge von Relationen aufzustellen, aber die Schwierigkeit beginnt da, wo es sich darum handelt, aus diesem Labyrinth von Formeln einen Ausweg zu finden. Die Besch¨aftigung mit jenen Formelmassen scheint auf die mathematische Phantasie eine verdorrende Wirkung auszu¨uben – G. Frobenius, 1893… 
Nested radicals
7 Aug 2014  8:19 pmI was trying to solve an olympiad type problem involving a nested radical of the form [tex] \sqrt{a+b\sqrt{r}}.[/tex] I had managed to discover that [tex] \sqrt{a^2 b^2r} [/tex] is an integer but it turned out the trick is to rewrite [tex] \sqrt{a+b\sqrt{r}} = c + d\sqrt{r}.[/tex] Of course, one naturally asks if this is a specific incident or is there a general theory. This lead to digging up an article that I painstakingly photocopied from the library from back when photocopying was the norm. The article in question is by Susan Landau from 1994 in the Math. Intelligencer titled “How… 
Millenium Bookball
19 Jul 2014  9:54 pmis a pretty cool mathematical sculpture by George Hart. Gone with the Wind, Charlie and the Chocolate Factory, The Cat in the Hat, Green Eggs and Ham. What is not to like? Speaking of which, I still cannot believe that it was only because of my son who is now four that I read Dr Seuss for the first time in my life. Growing up with parents who do not speak English, I only started reading English books in Primary School. I still remember the joy when I did well in school examinations and the prize was to go to the school hall and select one free book for keeps. 
On practice
19 Jul 2014  9:56 amI’m sure I am interpreting this in a context different from Vygotsky who was quoting Lenin Man’s practice, repeated a billion times anchors the figure of logic in his consciousness. 
Math videos
9 Jul 2014  1:08 am“Speaker, I’d like to talk about twin prime numbers …” goes McNerney in the US Congress. This took place on 11 Feb 2014. More details may be found here. There is still hope in politics afterall. I would love to see the day when mathematics is discussed in our parliament. I’ve longed known about the discussion on the Monty Hall problem in the movie 21. But it was preceded by a short take on Newton’s or NewtonRaphson method. See the clip here at Mathematics in Movies site.

WordPress Tag: Mathematics

371 What Pythagorean Triple Comes Next?
29 Jan 2015  1:37 pm2^371 (mod 371) = 340, not 2. Therefore, 371 is definitely a composite number. Scroll down to see its factoring information. If you can figure out the simple pattern that these odd Pythagorean triples make, you can predict the next one in the sequence FOREVER by squaring only one number, and without ever taking a single square root! Every odd number is the short leg of at least one primitive Pythagorean triple! Here’s how I came to realize this amazing fact: Last week I was thinking about the difference of two squares applied to integers in general as I looked at this multiplication… 
In which MATH NERDERY DESTROYS THE WORLD
29 Jan 2015  12:14 pmThe new hotness for the boy lately has been Teen Titans Go!, which works for me because as it turns 
Crunching Numbers
29 Jan 2015  10:47 amThere’s nothing that makes me more afraid Than a number, because it isn’t made; And though I resist The thought, I can’t shake it: Something can exist Without a maker to make it. xoxo 
Debal Sommer  Mathematics [Tonkind]
29 Jan 2015  10:25 amDebal Sommer – Mathematics Style: Tech House, Deep House Record Label: Tonkind Catalogue Number: TOK040 Release Date: 20012015 Total Tracks: 4 Tracks Source: WEB Tracks: 1. Debal Sommer – Mathematics (Original Mix) (7:33) 2. Debal Sommer – Crazy People (Original Mix) (8:44) 3. Debal Sommer – Fugibeat (Original Mix) (8:12) 4. Debal Sommer – C’est La Vie (Original Mix) (11:16) Server Quality Size Format Link Report Dead Uploaded.net 320kbps 82MB RAR Download Report http://minimalfreaks.pw/2015/01/debalsommermathematicstonkind/ Deep House, TechHouse… 
Linear Algebra Lectures
29 Jan 2015  8:19 amHi guys. I’m currently studying linear algebra, and I find these lectures by MIT professor (Prof W. Gilbert Strang) quite useful. It’s been helping me a lot in my understanding. Hope you’ll be able to benefit from these lectures too! (: Here’s the first lecture :

MathNotations

When is a rectangle an equilateral triangle?
21 Jan 2015  1:52 pmAs posted on twitter.com/dmarain ... Diagonal of a rectangle has length 6 and makes a 30° angle with a side. (a) Area of rectangle=? (b) If diagonal has length d, area=? Ans:9√3;(d^2)√3/4 COREFLECTIONS (1) A moderate difficulty problem for SATs? Appropriate or too hard for a PARCC assessment with both parts? (2) Should diagram be given or is drawing part of what's being assessed? (3) Will some students recognize that the expression in terms of 'd' is the formula for the area of an equilateral triangle of side length d? If no one does then is it our responsibility to model and… 
How one 2nd grader knows his 7 Times Table!
12 Jan 2015  2:12 pmAs posted on twitter @dmarain today... Question to 2nd grader: 7×6 Child:42 How did you know that? Easy  6 touchdowns! I know all my 7's! Real/fake?? COREFLECTIONS 1) So do you think this is about a real 7yr old? 2) Would this be useful to many or just for girls/boys who watch a lot of football? OR Is there a bigger issue here re the individual ways in which children learn? I think there are some HUGE implications here for teaching/learning in the Common Core and beyond... 3) All these "strategies" turning you off? Yearning for the good old days  having children write… 
Implement The Core: Quadratic Function SATType Assessment
9 Jan 2015  7:55 amAs posted on Twitter @dmarain... The graph of f(x)=(xk)^2+h has one xint and a yint=16. Coordinates of all possible vertices? Sketch graph(s). Ans:(+4,0) COREFLECTIONS... (1) How do you feel about the "h,k switch" on an assessment? Would you revise it or leave it alone? (2) Level of difficulty here? How do you think your students would perform? Let me know if you use it! (3) Are you finding more of these types of questions in current texts? If not, what resources do you use to raise the bar? (4) What if the question had asked for the PRODUCT of all possible xintercepts? 
BREAK THE CODE: 12911305
8 Jan 2015  12:27 pmAs tweeted on Twitter @dmarain today: Break the code:12911305 Then multiply these #'s by 4/3... And you'll get my OBJective here! Use contact form in sidebar to send me your answer/thoughts or leave a "hint" or question in Comments! VISIT ME DAILY ON TWITTER AT twitter.com/dmarain 
Implementing The Core: B lives twice as far from A as from C. Draw that!
8 Nov 2014  8:26 amFrom twitter.com/dmarain 11814... A,B,C live on a straight road. B lives 5 times as far from A as from C. If AC=12 draw,determine all possible distances! COREFLECTIONS 1. 140 characters make the writing and interpretation of the problem challenging. But within each group of students there will usually be a few who will make more sense of it and they should be allowed to convince others in their group. When the inevitable hands go up and they ask "Do you mean...?" it's tempting to clarify but don't! Unless everyone is lost of course. The confusion will resolve itself in the…

mathrecreation

bus number factoring
27 Jan 2015  7:09 pmEach bus in Ottawa has a four digit number that identifies it (like 4476 above). One thing to do while riding, if you don't have a bus transfer to play with, is to pass the time factoring that bus identifier (it's also printed on the inside of the bus, in case you miss it getting in).We all know some basic divisibility rules to help with factoring: If it ends in a zero, it's divisible by 10, if it's even then its divisible by 2, if it ends in a 5 then it's divisible by 5. You may know that if the last two digits of a number are divisible by 4 then the whole number is also divisible by 4… 
Some notes on the Kaprekar function
2 Dec 2014  5:50 pmConsider a 3 digit number, say 395. Take its digits and form the greatest and least possible 3 digit numbers and subtract them: 935  359 = 594. Now do the same with the result: 954  459 = 495. Try it again, and you see that the process has hit a fixed point: 954  459 = 495.The Kaprekar function involves taking a number, computing two shuffles of its digits (the shuffle with the greatest value, and the one with the least value), and then taking the difference of those two shuffles. So for an integer n, if g is the number you get from rearranging the digits of n from greatest to… 
GSP and LOGO (for MITx: 11.132x)
20 Oct 2014  7:51 pmNote: This post is an assignment for the Edx MOOC MITx: 11.132x Design and Development of Educational Technology. The assignment had to be posted online, and since it relates somewhat to the themes of this blog, I put it here.Educational Technology Then and Now: Geometer's Sketchpad and LOGOGeomter's Sketchpad (GSP) is an example of current educational technology that is based on design and educational principles that can generally be described as constructionist. Widely used in contemporary classrooms, GSP is based on ideas about computerhuman interaction that date back to the 1960s, and… 
circles, hexagons, flowers
2 Oct 2014  7:02 pmWas playing around with intersecting circles, as in this post. 
A year of tinkering
29 Sep 2014  6:37 pmYou really should take advantage of the free until August 2015 license that is currently being offered with a fresh download TinkerPlots. Would that it was freely available in perpetuity without condition, but a year of tinkering is nice.If you are a middle school teacher, then this is designed for you and yours. If, like me, you are not, you may find it fun to play with anyway. Here is something I was playing with recently:An elementary school number sense activityIn the JUMP math curriculum for grades 3 and 4, there are lessons where students investigate the patterns formed when…

MathBlog

Book Review: A Mind for Numbers
26 Jan 2015  6:00 amA Mind for Numbers How to Excel at Math and Science (Even if you Flunked Algebra) by Barbara Oakley, Ph.D. JEREMY P. TARCHER/ PENGUIN Published by the Penguin Group Penguin Group (USA) LLC New York, New York 10014 2014 My Rating: 3/5 Introduction A Mind for Numbers is a good but not great book on techniques for learning math and science. The book covers a large range of methods including alternating between “diffuse” and “focused” thinking, “chunking,” practicing recall to firmly imprint knowledge in long term memory, the “memory palace” method… 
Review of Falling Behind? Boom, Bust, and the Global Race for Scientific Talent
12 Jan 2015  6:00 amFalling Behind? Boom, Bust, and the Global Race for Scientific Talent by Michael S. Teitelbaum Princeton University Press March 30, 2014 Introduction Falling Behind? is a recent (March 2014) book by Michael Teitelbaum of the Sloan Foundation, a demographer and long time critic of STEM (Science, Technology, Engineering and Mathematics) shortage claims. Falling Behind? is an excellent book with a wealth of data and information on the history of booms and busts in science and engineering employment since World War II, STEM shortage claims in general, and lobbying for “highskilled”… 
Mathematicians take this survey about your philosophical intuitions
20 Jul 2014  7:01 pmA group of researchers in philosophy, psychology and mathematics are requesting the assistance of the mathematical community by participating in a survey about mathematicians’ philosophical intuitions. The survey is available here: http://goo.gl/Gu5S4E. For the purposes of this survey, a mathematician is someone who holds an advanced academic degree in mathematics, teaches mathematics on a college or university level, uses advanced mathematics in the course of their work, or has published mathematical work in scholarly venues. Possibly related articles: Help us with your feedback by taking… 
Martin Fowler’s Design Stamina Hypothesis and Video Compression
14 Jul 2014  7:00 amMartin Fowler’s Design Stamina Hypothesis expresses a widely held belief among practicing software engineers and other technical professionals that is also taught in computer science curricula. Basically, the idea is that “good software design,” a vaguely defined concept, fairly quickly pays for itself through faster, better, cheaper software development in the long run. Martin Fowler, Chief Scientist for ThoughtWorks and a noted writer on agile software development, software design and refactoring, encapsulates this concept in this “pseudograph”: The remarkable… 
Eugene Goostman, Teenaged AI, and the Definition of Number
16 Jun 2014  7:00 amEugene Goostman, an artificial intelligence program purporting to be a thirteen year old boy from the Ukraine, recently prompted a spate of breathless news articles reporting that an AI had finally and for the first time passed the famous Turing Test, fooling humans into thinking they were conversing with another human being and not with an AI program. This in turn prompted a number of critical responses, notably one by AI pioneer Ray Kurzweil who reported the following rather unconvincing exchange with Eugene: Question: How much is two plus two? Eugene: Now I’m sure that you are one of…

CSE Blog  quant, math, computer science puzzles

Box in Box problem
23 Jan 2015  2:31 amSource: Sent to me by Sudeep Kamath Problem: Airline checkin baggage has size restriction by socalled linear dimension: length + breadth + height should not exceed 62 inches. Prove that you can't "cheat" by packing a box with higher linear dimension into a box with lower linear dimension. 
Fibonacci Multiple Puzzle
21 Jan 2015  2:30 amSource: Mailed to me by Kushagra Singhal, IIT Kanpur, PhD Student at University of Illinois at UrbanaChampaignProblem: Prove that for any positive K, every Kth number in the Fibonacci sequence is a multiple of the Kth number in the Fibonacci sequence.More formally, for any natural number n, let F(n) denote Fibonacci number n. That is, F(0) = 0, F(1) = 1, and F(n+2) = F(n+1) + F(n). Prove that for any positive K and natural n, F(n*K) is a multiple of F(K). 
Gold Silver Numbers Puzzle
19 Jan 2015  3:00 amSource: Mailed to me by JDGM ("regular commenter JDGM")Problem:The integers greater than zero are painted such that:• every number is either gold or silver.• both paints are used.• silver number + gold number = silver number• silver number * gold number = gold numberGiven only this information, for each of the following decide whether it is a gold number, a silver number, or could be either:1.) gold number * gold number2.) gold number + gold number3.) silver number * silver number4.) silver number + silver number 
Maximum Number of Collinear Points
28 Dec 2014  3:39 amSource: Asked to me by a friend  who was asked this question in an interview at Facebook Problem: Given n points on a 2D plane, find the equation of the line with maximum number of collinear points. What is the time complexity of your algorithm? 
Mathematics of SET game
21 Dec 2014  3:00 amSource: Sent to me by Pritish Kamath (http://www.mit.edu/~pritish/) Problem: Have you ever played "SET"? You have to play it. http://www.setgame.com/learn_play http://www.setgame.com/sites/default/files/Tutorials/tutorial/SetTutorial.swf Even if you have not played the game, the game can be stated in a more abstract way as follows: There are 12 points presented in F34 and the first person to observe a "line" amongst the 12 given points gets a score. Then the 3 points forming the line are removed, and 3 random fresh points are added. Problem 1: How many points in F34 are…

Mathforallgrades Blog

Jan 22, Algebraic Expression
22 Jan 2015  1:13 amAny expression that contains letters, numbers and basic operation signs +, , × and ÷ is called an Algebraic Expression. 
Jan 22, Algebraic Expression
22 Jan 2015  1:13 amAlgebraic Expression Definition 
Jan 22, Advanced Problems in Percentages
22 Jan 2015  1:13 amAdvanced Problems in Percentages 
Jan 22, Algebraic identities
22 Jan 2015  1:13 amAlgebraic identities. 
Jan 19, Business statistics
19 Jan 2015  12:43 ambusiness statistics is application of certain math concepts and math skills for consumer math.

Marauders of the Lost Sciences

Hilbert on the foundations of geometry
1 Feb 2015  2:10 amHere Hilbert proves that the Axiom of Continuity isn’t derivable from the other axioms. This is done by finding mathematical structure which satisfies the other axioms but not the Axiom of Continuity (Archimedes’s Axiom). …the axiom of Archimedes may be … Continue reading → 
Lord Rayleigh’s advice to stifled genius
30 Jan 2015  11:25 pmThis is a special post for anyone stifled by highly respected, but wrong, giants in their fields. In 1845 a Englishman named John James Waterston wrote an early groundbreaking paper on kinetic theory and submitted it to the (British) Royal … Continue reading → 
Brouwer on Intuitionism versus Formalism in the foundations of mathematics
30 Jan 2015  2:10 amBrouwer, of the “fixed point theorem” fame, wrote a long article about Intuitionists vs Formalists. Many mathematicians aren’t aware of the force this debate once had and perhaps still does in mathematical logic and set theory. Brouwer’s essay is impossible … Continue reading → 
Fisher’s Information
29 Jan 2015  2:10 amInformation theory in statistics has come to be somewhat associated with Bayesians, but Fisher was introducing information type considerations in statistics before that. Here Fisher talks about what became known as Fisher’s Information, which can be viewed as an approximation … Continue reading → 
Ehrenfest on Adiabatic Invariants in the early Quantum Theory
28 Jan 2015  2:10 amWho knows, maybe after nearly 100 years some of these early Quantum Theory considerations will prove useful when looked upon by fresh minds. Stranger things have happened in the history of science. In these researches I especially made use of … Continue reading →