Data Mining with R: learning by case studies
http://www.liaad.up.pt/~ltorgo/DataMiningWithR/

R is a really excellent tool ... i use it to analyse performance data from tuning sessions ....

「 2 」か「 9 」で割ってみる

知らなかったー

言われてみれば当たり前のことだけど、自分では全然考え付かなかった。こういうのを自然に発想できるのが数学のできる人なんだろうな。

これは勉強になる。

へー

カシオ運営。

計算のポータルサイト？すげえ

桁数可変型演算技術を応用して精度保証の実現をめざした計算サービス

tools for science, math, languages, English

Great tools online tools in various subjects.

Honeybees are found to interact with Quantum fields

How could bees of little brain come up with anything as complex as a dance language? The answer could lie not in biology but in six-dimensional math and the bizarre world of quantum mechanics.

Honeybees are found to interact with Quantum fields. wild. must read later.

SpeedCrunch is a fast, high precision and powerful desktop calculator. Available for LinuxLinux, WindowsMicrosoft Windows, and Apple Mac OS XApple Mac OS X.

I always like it when people call out other people for bad math....

You are a web programmer. You have users. Your users rate stuff on your site. You want to put the highest-rated stuff at the top and lowest-rated at the bottom. You need some sort of "score" to sort by.

fun

Math objectives

新はてなブックマークではブックマークエントリをカテゴリへと自動で分類しているが、このカテゴリ分類に使われているアルゴリズムはComplement Naive Bayesらしい。今日はこのアルゴリズムについて紹介してみる。

Complement Naive Bayes

On Onlinecharttool.com you can design and share your own graphs online and for free We support a number of different chart types like: bar charts, pie charts, line charts, bubble charts and radar plots.

On Onlinecharttool.com you can design and share your own graphs online and for free. We support a number of different chart types like: bar charts, pie charts, line charts, bubble charts and radar plots.

create and design your own graphs and charts online | INDEX

statistically significant other

stat humor. gotta love it.

Hilarious

Math i understand finally

"In the mid-'80s, Wall Street turned to the quants—brainy financial engineers—to invent new ways to boost profits. Their methods for minting money worked brilliantly... until one of them devastated the global economy."

The Nobel winning formula

An Activity Pack is a set of educational resources focused on a theme and packaged in a widget-format that you can embed in your own class or social media web page. Each pack includes links to PBS web sites and a set of activities by grade level.

Explore educational resources and activities from PBS with our library of Activity Packs. Each one focuses on a curricular theme and includes links to great PBS resources and supplemental activities

Another widget source from PBS and Dr. Valenza.

Mathematica is a flexible tool for exploring graphic design programmatically. Study and manipulation of logos and fonts are featured in this example.

This is a very cool idea.

Scroll down to see the SS and the LA

What do one mathematician, one artist, and one musician all have in common? Are you interested in zen Buddhism, math, fractals, logic, paradoxes, infinities, art, language, computer science, physics, music, intelligence, consciousness and unified theories? Get ready to chase me down a rabbit hole into Douglas Hofstadter's Pulitzer Prize winning book Gödel, Escher, Bach. Lectures will be a place for crazy ideas to bounce around as we try to pace our way through this enlightening tome. You will be responsible for most of the reading as lectures will consist primarily of motivating the material and encouraging discussion. I advise everyone seriously interested to buy the book, grab on and get ready for a mind-expanding voyage into higher dimensions of recursive thinking.

An intensive research effort over the last nine years has led to the decoding of much of the almost-obliterated Greek text. The results were more revolutionary than anyone had expected. The researchers have discovered that Archimedes was working out principles that, centuries later, would form the heart of calculus and that he had a more sophisticated understanding of the concept of infinity than anyone had realized.

To read.

"....The researchers have discovered that Archimedes was working out principles that, centuries later, would form the heart of calculus and that he had a more sophisticated understanding of the concept of infinity than anyone had realized."

Carl Edward Rasmussen and Christopher K. I. Williams MIT Press, 2006. ISBN-10 0-262-18253-X, ISBN-13 978-0-262-18253-9. This book is © Copyright 2006 by Massachusetts Institute of Technology. The MIT Press have kindly agreed to allow us to make the book available on the web. The web version of the book corresponds to the 2nd printing. You can buy the book for a list price of 36.00 US$ or 23.95 UK£. The whole book as a single pdf file.

Gaussian Processes for Machine Learning

By Felix Salmon at Wired Magazine, February 23, 2009.

Gödel mistrusted our ability to communicate. Natural language, he thought, was imprecise, and we usually don't understand each other. Gödel wanted to prove a mathematical theorem that would have all the precision of mathematics—the only language with any claims to precision—but with the sweep of philosophy. He wanted a mathematical theorem that would speak to the issues of meta-mathematics. And two extraordinary things happened. One is that he actually did produce such a theorem. The other is that it was interpreted by the jazzier parts of the intellectual culture as saying, philosophically exactly the opposite of what he had been intending to say with it.

goel and the nature of mathematical truth

http://www.cs.umd.edu/~gasarch/BLOGPAPERS/egg.pdf

Annotated link http://www.diigo.com/bookmark/http%3A%2F%2F20bits.com%2Farticles%2Finterview-questions-two-bowling-balls

It might seem an idle pastime but academics have come up with a mathematical equation for why people procrastinate.

The psychologist, from the University of Calgary, has subsequently formed an equation for why people procrastinate, which began by studying 250 college students. The equation is U=EV/ID. The 'U' stands for utility, or the desire to complete a given task. It is equal to the product of E, the expectation of success, and V the value of completion, divided by the product of I, the immediacy of the task, and D, the personal sensitivity to delay. Prof Steel says procrastination is becoming a bigger issue because many more jobs are "self-structured", with people setting their own schedules. This means that people tend to postpone things with delayed rewards in favour of activities that offer immediate rewards. "Procastinators tend to live fro today rather than tomorrow. for short term gain for long term pain" he writes. Until now, psychologists have generally linked procrastination to perfectionists who avoid tasks rather than produce less than perfect products.

U=EV/ID

The equation is U=EV/ID.

Prof Piers Steel, a Canadian academic who has spent more than 10 years studying why people put off until tomorrow what they could do today, believes that the notion that procrastinators are either perfectionists or just lazy is wrong. Prof Steel, who admits to becoming distracted by computer games himself, argues in a new book that those prone to putting things off suffer from a vice of their own - impulsiveness.

*MUST* mouse over link :)

I know you may have already seen it... but I love love this one. ^_^

Correlation doesn't imply causation, but it does waggle its eyebrows suggestively and gesture furtively while mouthing 'look over there'

Mijn favoriete onderwerp, in cartoon.

Resources for teaching elementary knowledge (kindergarten-5th grade).

Includes many subjects and links to others

comprehensive resources

Free Mathematics Books - list of freely available math textbooks, monographs, lecture notes, and other documents.

Look at Intro to R Book

Combin

E-Books Directory is a daily growing list of freely downloadable ebooks, documents and lecture notes found all over the internet. You can submit and promote your own ebooks, add comments on already posted books or just browse through the directory and download anything you need.

instruction on your kids

."

ベイズ理論

おもしろい

1. 各点にランダムにクラスタを割り当てる 2. クラスタの重心を計算する。 3. 点のクラスタを、一番近い重心のクラスタに変更する 4. 変化がなければ終了。変化がある限りは 2. に戻る。

-means 法（K平均法）

1. 各点にランダムにクラスタを割り当てる 2. クラスタの重心を計算する。 3. 点のクラスタを、一番近い重心のクラスタに変更する 4. 変化がなければ終了。変化がある

Math videos

Many teaching videos on a number of math/science related topics.

A nice refresher for Bézier curves

Free whiteboard applications for teaching.

Interactive Whiteboard Resources for Teachers. A variety of free, easy to use IWB resources, for teaching a variety of subjects. New resources added weekly.

interactive whiteboard lessons maths english science sose

Overview Eigen is a C++ template library for linear algebra: vectors, matrices, and related algorithms. It is: * Versatile. (See modules and tutorial). Eigen handles, without code duplication, and in a completely integrated way: o both fixed-size and dynamic-size matrices and vectors. o both dense and sparse (the latter is still experimental) matrices and vectors. o both plain matrices/vectors and abstract expressions. o both column-major (the default) and row-major matrix storage. o both basic matrix/vector manipulation and many more advanced, specialized modules providing algorithms for linear algebra, geometry, quaternions, or advanced array manipulation. * Fast. (See benchmark). o Expression templates allow to intelligently remove temporaries and enable lazy evaluation, when that is appropriate -- Eigen takes care of this automatically and handles aliasing too in most cases. o Explicit vectorization is

Main Page - Eigen

Eigen 2 is a C++ template library for linear algebra: vectors, matrices, and related algorithms.

dfggggggggggggggggggdysyeeydysdysdydsydsydydsdddddddddddd

Wiki-style site that is intended to develop into a large store of useful mathematical problem-solving techniques.

กฎก้นหอย?

photo theory

it is echoed

Droste

Intuitive visual explanation of Bayes' theorem using Venn diagrams

I recently came up with what I think is an intuitive way to explain Bayes’ Theorem. I searched in google for a while and could not find any article that explains it in this particular way. Of course there’s the wikipedia page, that long article by Yudkowsky, and a bunch of other explanations and tutorials. But none of them have any pictures. So without further ado, and with all the chutzpah I can gather, here goes my explanation.

“In this course we will be using the programming language Lisp...” Argh! Not that again! What is it with Lisp? Ok, maybe at Harvard they do that sort of thing, but this was MIT! Don't they hack computers here?

“If you already know how to program, you may be at a disadvantage because you will have to unlearn some bad habits.”

interesting account of someone's first taste of lisp

Those who constantly strive to learn more from the world around them, who can’t pass up an opportunity to pour over a book or dictionary, or who take classes just to learn a bit more are a special breed. For those with an iPhone, the chances for learning just got a lot greater. No matter if you love literature, science, nature, arts, foreign languages and travel, medicine, or Christian studies, there are apps that will enhance your ability to expand your knowledge base.

iphone apps education tools learning

Leonardo of Pisa was born around 1170 AD in (of course) Pisa, Italy. While not quite as famous as some other Italian or Ninja Turtle Leonardos, we do have a lot to thank him for. His most notable contribution to your life is probably found on the top row of your keyboard. While traveling through North Africa, Leo discovered that the local number system of 0-9 was far superior than the obscure combination of X’s, V’s and I’s the Romans had invented a millennium earlier to confuse later generations of elementary school students. Leonardo brought this number system to Europe and eventually we invented Sudoku with it.

(PhysOrg.com) -- Prime numbers have intrigued curious thinkers for centuries. On one hand, prime numbers seem to be randomly distributed among the natural numbers with no other law than that of chance. But on the other hand, the global distribution of primes reveals a remarkably smooth regularity. This combination of randomness and regularity has motivated researchers to search for patterns in the distribution of primes that may eventually shed light on their ultimate nature.

May 2009. Luque, Lacasa on Generalised Benford's Law.

“New insights and concepts coming from nonlinear science, such as multiplicative processes, help us to look at prime numbers from a different perspective. According to this focus, it becomes significant that even today it is still possible to discover unnoticed hints of statistical regularity in such sequences, without being an expert in number theory. However, the most significant issue in this work is not to unveil this pattern in primes and Riemann zeros, but to understand the reason and implications of such unexpected structure, not just for number theoretical issues but, interestingly, for other disciplines as well. For instance, these results deepen our understanding of correlations in systems composed of many elements.”

(PhysOrg.com) -- Prime numbers have intrigued curious thinkers for centuries. On one hand, prime numbers seem to be randomly distributed among the natural numbers with no other law than that of chance. But on the other hand, the global distribution of primes reveals a remarkably smooth regularity. This ...

“Imagine that you have $1,000 in your bank account, with an interest rate of 1% per month,” Lacasa said. “The first month, your money will become $1,000*1.01 = $1,010. The next month, $1,010*1.01, and so on. After n months, you will have $1,000*(1.01)^n. Notice that you will need many months to go from $1,000 to $2,000, while to go from $8,000 to $9,000 will be much easier. When you analyze your accounting data, you will realize that the first digit 1 is more represented than 8 or 9, precisely as Benford's law dictates. This is a very basic example of a multiplicative process where 0.01 is the multiplicative constant. “Physicists have shown that many processes in nature can be modeled as stochastic multiplicative processes, where the previously constant value of 0.01 is now a random variable and the data equivalent to the money of our latter example is another random variable with an underlying distribution 1/x. Stochastic processes with such distributions are shown to follow BL....”

Computational complexity lectures

Fields Medalist Tim Gowers' lectures on computational complexity.

As one of Olivia Judson’s biggest fans, I feel honored and a bit giddy to be filling in for her. But maybe I should confess up front that, unlike Olivia and the previous guest writers, I’m not a biologist, evolutionary or otherwise. In fact, I’m (gasp!) a mathematician. One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden. This week’s column is about one such pattern. It’s a beautiful law of collective organization that links urban studies to zoology. It reveals Manhattan and a mouse to be variations on a single structural theme. The mathematics of cities was launched in 1949 when George Zipf, a linguist working at Harvard, reported a striking regularity in the size distribution of cities. He noticed that if you tabulate the biggest cities in a given country and rank them according to their populations, the largest city is always about twice as big as the second largest, and three times as big as th

One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden. This week’s column is about one such pattern. It’s a beautiful law of collective organization that links urban studies to zoology. It reveals Manhattan and a mouse to be variations on a single structural theme. [...] These numerical coincidences seem to be telling us something profound. It appears that Aristotle’s metaphor of a city as a living thing is more than merely poetic. There may be deep laws of collective organization at work here, the same laws for aggregates of people and cells.

Why elephants and cities have the same basic infrastructure

"For instance, if one city is 10 times as populous as another one, does it need 10 times as many gas stations?"

mit Online Course Materials education tolearn

During the summer of 2007, Gödel, Escher, Bach was recorded especially for OpenCourseWare. Below are links to the videos, along with breakdowns of the video content.

http://en.nicoptere.net/

http://collison.ie/blog/2009/04/hacking-for-fun-and-profit-with-mathematica-and-the-google-analytics-api Hackingforfunandprofit

mathematics environment video

links to other videos

Parallelism and Hyperbolic geometry in models that are crotcehed

kindergarten for adults...play tanks (rather than think tanks)

These Grades K - 5 links are set up by various content/curriculum areas.

– Grades K - 5 - Oak Street Elementary School - Plattsburgh City School District - organised into subject areas.

Porqué hay 60 minutos en una hora.

Operaciones matemáticas

Peter: I sit in a cubicle and I update bank software for the 2000 switch. Joanna: What's that? Peter: Well see, they wrote all this bank software, and, uh, to save space, they used two digits for the date instead of four. So, like, 98 instead of 1998? Uh, so I go through these thousands of lines of code and, uh... it doesn't really matter. I uh, I don't like my job, and, uh, I don't think I'm gonna go anymore.*

das puzzles to enlimber the programming mind

You can in fact calculate it, easily. The 100 customers each have a 3% chance of defaulting, so you expect three customers to default next year. That is, you will need to pay $3 million next year. Assuming the interest rate is about 3% each year, next year's $3 million would be worth 3/(3/100+1)=3/1.03=2.91 million now. Therefore HSBC will have to pay you at least $2.91 million for the insurance. Obviously Lehman Brothers wasn't a charity and so, to make money, they would double the price to $5.82 million and expect to make $2.91 million out of each of these deals on average. This kind of insurance is called a credit derivative swap (CDS).

Sixty Symbols - Physics and Astronomy [Fine Structure Constant] [Schrödinger's cat] [Frequency]

video science curious

The math people catalog EVERYTHING.

For more than 200 years, buried deep within Thomas Jefferson's correspondence and papers, there lay a mysterious cipher -- a coded message that appears to have remained unsolved. Until now. The cryptic message was sent to President Jefferson in December 1801 by his friend and frequent correspondent, Robert Patterson, a mathematics professor at the University of Pennsylvania. President Jefferson and Mr. Patterson were both officials at the American Philosophical Society -- a group that promoted scholarly research in the sciences and humanities -- and were enthusiasts of ciphers and other codes, regularly exchanging letters about them.

Sweet

Collection of interactive SMART Board games for educators on PBS KIDS. Students will enjoy participating in these collaborative, fun and engaging experiences, while exploring curriculum from trusted programs such as Curious George, Super Why and Arthur. Like our programs, all of our games are age-appropriate and vetted by educators.

this is a very good tol to have in your classroom.

Anyone who works with LaTeX knows how time-consuming it can be to find a symbol in symbols-a4.pdf that you just can't memorize. Detexify is an attempt to simplify this search.

LaTeX handwritten symbol recognition

super neato

Gives Latex syntax for characters by hand-drawing them.

Great resources for grades K-8

These resources have been collected by students, parents, and educators and organized by students in a USC writing course.

SOS Classroom offers a directory of free online educational resources for K-8 Language Arts and Math. These sites are submitted by parents and teachers, and they are all reviewed and organized by members of the SOS Classroom team.

hen we want to use regular multiplication, but can’t, we bring out the big guns and integrate. Area is just a visualization technique, don’t get too caught up in it. Now go learn calculus!”

A great source for any engineer who want's to trim past times knowledge

Math for all levels, Kindergarten, Elementary, Middle school and High School. Downloadable tutorials explaining concepts, interactive online content as well.

Some of the most entertaining, informative and mind-blowing science videos on the web come from the TED conference. Here are five.

Some of the most entertaining, informative and mind-blowing science videos on the web come from the TED (Technology, Entertainment, Design) conference. Here are five.

Some of the most entertaining, informative and mind-blowing science videos on the web come from TED – the Technology, Entertainment, Design conference. Challenged to give the “talk of their lives,” the world’s top scientists and science communicators have been dazzling audiences – many of whom are thought leaders, trend-setters and entertainers – for years now. Most of the best talks are now freely available on the internet, but sifting through hundreds of video clips to find the real gems can be hard going.

The idea of the "Mathesaurus" is to provide a quick reference for switching to open-source mathematical computation environments for computer algebra, numeric processing and data visualisation.

"The idea of the "Mathesaurus" is to provide a quick reference for switching to open-source mathematical computation environments for computer algebra, numeric processing and data visualisation."

From the simple to the intricate, geometry is an inescapable part of graphics programming.

TED Talks Someone always asks the math teacher, "Am I going to use calculus in real life?" And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.

Ese último link tendría que haber sido http://statplot.com/ ; el link que envié apuntaba hacia el artículo que lo describe el sitio. [from http://twitter.com/dariuus/statuses/1939829918]

Create interactive stat charts based on sports

Build graphical charts using NFL, NBA, College Basketball, College Football, and NASCAR stats. Each chart comes in three formats: interactive Flash, image, and thumbnail.

Turned up on oursignal.com ...

I've met too many developers who don't grok big O

An intuitive explanation of the geometric meaning behind SVD.

Good explanation of the SVD

Geometric interpretation of SVD.

A free site of math games for many concepts with many choices. Interesting and not boring resources!

good range of online resources to use as teaching resources in the numeracy area includes a spiner, tablesstuff, place value, pattern blocks etc.

Great tools - Place value, patterns, number lines, counters etc.

Eleven mathematics games and activities written in English and Spanish. The games and activities are designed for learning about the basics of mathematics including graphs, fractions, and money.

The House hearings on rescission – the retroactive cancellation of individual health insurance policies – were over a month ago, but after its initial run through Daily Kos it seems to have waited a bit before popping up on Baseline and Slate. James Kwak at Baseline described the practice as rare, affecting only 0.5% of the population. The faint light bulb above my head began to flicker: could that be true…that’s not rare – that is amazingly common.

Rescission is not rare, if you happen to be sick.

rescission – the retroactive cancellation

The House hearings on rescission – the retroactive cancellation of individual health insurance policies – were over a month ago, but after its initial run through Daily Kos it seems to have waited a bit before popping up on Baseline and Slate.  James Kwak at Baseline described the practice as rare, affecting only 0.5% of the population.  The faint light bulb above my head began to flicker: could that be true…that’s not rare – that is amazingly common.

"The House hearings on rescission – the retroactive cancellation of individual health insurance policies – were over a month ago... James Kwak at Baseline described the practice as rare, affecting only 0.5% of the population. The faint light bulb above my head began to flicker: could that be true…that’s not rare – that is amazingly common."

But I will make this simple point in the hope some speechwriter pressed for a deadline picks it up: if a bank manager went to half of his highest net worth clients and said “sorry, you misspelled your address when you opened your account, I’m confiscating your balance,” he would be lucky to get himself assigned to minimum security

If, as I suspect, rescission is targeted toward the truly bankrupting cases – the top 1%, the folks with over $35,000 of annual claims who could never be profitable for the carrier – then the probability of having your policy torn up given a massively expensive condition is pushing 50%. One in two. You have three times better odds playing Russian Roulette.

Do you own an iPhone? Do you also have toddlers or kids who are about to enter school? Put the iPhone and the kids together with some of the apps listed below to keep the kids busy as they prepare themselves for school.

一番右端の立っているビット位置を求める「ものすごい」コード

うーん全然わかんねー…

crazy!

Hee hee hee

It is possible to successfully fend off a zombie attack, according to Canadian mathematicians. The key is to hit hard and hit often.

IBM research about presentation of graphs with color

Potential models for zombie outbreaks.

PDF

Zombies are a popular figure in pop culture/entertainment and they are usually portrayed as being brought about through an outbreak or epidemic. Consequently, we model a zombie attack, using biological assumptions based on popular zombie movies. We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions. We then refine the model to introduce a latent period of zombification, whereby humans are infected, but not infectious, before becoming undead. We then modify the model to include the effects of possible quarantine or a cure. Finally, we examine the impact of regular, impulsive reductions in the number of zombies and derive conditions under which eradication can occur. We show that only quick, aggressive attacks can stave off the doomsday scenario: the collapse of society as zombies overtake us all.

Free resources for teaching maths using primary framework objectives

Games for IWB or Pcs

grades 3-6

Great math resource for grade 3-6.

Interaktív táblán jól alkalmazható matematika változtatható tartalmú és nehézségű gyakorló animációk.

PreK-Kindergarten reading and math games

Tell Laura about this site good primary

Traffic jams are sometimes caused by drivers' competitive behavior. In certain situations the actions of a single driver can lessen traffic congestion or even erase a traffic jam completely.

Traffic jams are sometimes caused by drivers' competitive behavior. In certain situations the actions of a single driver can lessen traffic congestion or even erase a traffic jam completely.

fajne narzędzie do tworzenia prostych wykresów

ChartGo - Create Charts Online Fast and Free. Create Pie Charts, Bar Charts, Line Charts or Area Charts. Create Graphs.

Need to create charts? Capture a statistic visually? This website makes this task a little easier.

"mini movies" that you can download - and guess what, they have the .swf extension on them. Which of course means that you can right-click on them to download. Then open up Notebook and click on "Insert" and "Flash File". Browse to where you downloaded the movie. Now the little movie will play right off of the Notebook page for you.

Short, free, dynamic video clips to show a variety of math (mostly algebra and geometry) concepts. A good supporting resource.

A repository for algorithms, and an environment for collaborative development.

looks like an interesting stack overflow for algorithms. i'll keep watching this one...doesn't have kelly ratio or even sharpe ratio yet.

multiple dimensions 10D

The 3D world of solid objects and limitless space is something we accept with scarcely a second thought. Time, the fourth dimension, gets a little trickier. But it's when we start to explore worlds that embody more – or indeed fewer – dimensions that things get really tough.

like the ten dimensions video...but words!

Thinking about dimensions other than the three we're used to can rattle one's mind. That's why it's usually left to stoned conversationalists and theoretical physicists. To help the rest of us navigate flatland, fractal landscapes, and hyperspace, New Scientist put together a concise and fun tour titled "Beyond Space and Time."

We don't have any trouble coping with three dimensions – or four at a pinch. The 3D world of solid objects and limitless space is something we accept with scarcely a second thought. Time, the fourth dimension, gets a little trickier. But it's when we start to explore worlds that embody more – or indeed fewer – dimensions that things get really tough.

The Coin Flip: A Fundamentally Unfair Proposition?

I've written a textbook entitled "Machine Learning: An Algorithmic Perspective". It will be published by CRC Press, part of the Taylor and Francis group, on 2nd April 2009. The book is aimed at computer science and engineering undergraduates studing machine learning and artificial intelligence.

I've written a textbook entitled "Machine Learning: An Algorithmic Perspective". It will be published by CRC Press, part of the Taylor and Francis group, on 2nd April 2009. The book is aimed at computer science and engineering undergraduates studing machine learning and artificial intelligence. There are lots of Python code examples in the book, and the code is available here.

Machine Learning: An Algorithmic Perspective

Python codes from a textbook entitled "Machine Learning: An Algorithmic Perspective"

by Stephen Marsland

I've written a textbook entitled "Machine Learning: An Algorithmic Perspective". It will be published by CRC Press, part of the Taylor and Francis group, on 2nd April 2009. The book is aimed at computer science and engineering undergraduates studing machine learning and artificial intelligence. There are lots of Python code examples in the book, and the code is available here. Where special datasets are used they are provided with the code, and there are links to additional datasets at the bottom of the page.

math humor

When a guy goes into the bathroom, which urinal does he pick? Most guys are familiar with the International Choice of Urinal Protocol. It’s discussed at length elsewhere, but the basic premise is that the first guy picks an end urinal, and every subsequent guy chooses the urinal which puts him furthest from anyone else peeing. At least one buffer urinal is required between any two guys or Awkwardness ensues.

Even if you can't beat the system, there are some cunning ways to tilt the odds in your favour

9

More about 9 than you really wanted to know.

"Not only does the date look good in marketing promotions, but it also represents the last set of repeating, single-digit dates that we'll see for almost a century (until January 1, 2101), or a millennium (mark your calendars for January 1, 3001), depending on how you want to count it." (il ne faut rien exagérer, il y aura le 10/10/2010, puis le 11/11/2011, puis le 12/12/2012 et après, oui, il faudra attendre un bon moment)

Juegos educativos en linea.

Free Online Games; two player games and solitaire games online at The Problem Site. Games with educational value, including vocabulary development and strategy planning.

Fun games for students to play that reinforce basic skills

This one seems VERY comprehensive and is possibly a very rich source of free teaching widgets for use on the white board, in starters and plenaries, and mini tasks. LZ

There are a number of free online educational games on this site.

There are a number of free online games of educational value on this site.

Great site providing free online games categorized by subject!

Definitions of algorithms, data structures, and classical Computer Science problems. Some entries have links to implementations and more information.

An online, interactive math game. Allows students to understand how math applies to all careers.

awesome flash site that shows kids how math is used in the real world, with real world jobs. Describes how they use math and provides a fun interactive activity that gives students a chance to practice using the math

Math Apprentice answers the question that nearly every student will ask during his or her math career: When are we ever going to use this stuff in the real world? Sure, there are some obvious real world connections. Money, time, and measurement are all very relevant concepts. Other areas of math, such as number theory and functions, are more cryptic and can seem disconnected from real life. Math Apprentice reveals the connections by showing students how math is used in a variety of interesting professions.

What it is: Math Apprentice is an awesome flash site that shows kids how math is used in the real world, with real world jobs. Students can explore math through games that feature bicycle designers, biologists, artists, mechanics, inventors, doctors, engineers, astronomers, game designers, programmers, chefs, veterinarians, sportscasters, and meteorologists. Students can explore the math of these jobs as a math apprentice by selecting a character and cruising around a virtual world where they can visit places of business where math happens. The character describes how they use math and provides a fun interactive activity that gives students a chance to practice using the math.

Great interactive games

Upper elementary and middle school level, shows kids how math is used in the real world, with real world jobs

This page contains web-based projects created by students at the University of Richmond in partial fulfillment of the requirements for teacher licensure in the state of Virginia. For more than 12 years we have been creating, revising and maintaining these materials as educational resources for teachers across the United States and the world. On this page you will find links to WebQuests and WebUnits. A WebQuest is an inquiry-oriented lesson format in which most or all the information that learners work with comes from the web. A WebUnit is a series of topical pages written specifically for elementary age students. Each title is followed by the date of the project's creation or significant revision. They are categorized by subject and grade level.

From the University of Richmond.

Συμπαθητική εισαγωγή στην στατιστική

e linear relations

Plus Maths Magazine: Feature Article

The Carol syndrome

A mathematical explanation of how pretty girls scare boys away.

Mooie vrouwen worden zelden aangesproken. Wiskundige onderbouwing waarom

"The express lane isn't faster. The manager backed me up on this one. You attract more people holding fewer total items, but as the data shows above, when you add one person to the line, you're adding 48 extra seconds to the line length (that's "tender time" added to "other time") without even considering the items in her cart. Meanwhile, an extra item only costs you an extra 2.8 seconds. Therefore, you'd rather add 17 more items to the line than one extra person! I can't believe I'm dropping exclamation points in an essay on grocery shopping but that's how this stuff makes me feel."

less helpful

All other things being equal, which lane is the fastest?

A free book on how statisticians think about data. Uses R programming language.

The book is intended as an upper level undergraduate or introductory graduate textbook in statistical thinking with a likelihood emphasis for students with a good knowledge of calculus and the ability to think abstractly. By "statistical thinking" is meant a focus on ideas that statisticians care about as opposed to technical details of how to put those ideas into practice. The book does contain technical details, but they are not the focus. By "likelihood emphasis" is meant that the likelihood function and likelihood principle are unifying ideas throughout the text.

al introduction to lambda calculus

そのうちやる

I have made a breakdown of the main arguments taught in high school and university which are utilized in computer science. I divided this list in a basic section and specific applications one.

linear

I must admit I have a bit of an aversion to drill-type activities, but I realize there are times that students need to practice and memorize certain concepts in order to succeed. Certainly we all know that studying makes for more successful learners. Abraham Lincoln clearly knew the value of studying when he said, “I will study and get ready, and perhaps my chance will come.” I doubt that Abraham could have imagined the neat Web 2.0 flashcard-type applications that our students can now use to help them with their studies.

various free websites for flash cards and quiz reviews

Article

http://www.glencoe.com/apps/eGlossary612/grade.php

The McGraw Hill Mathematics eGlossary provides written and verbal definitions and explanations of mathematics terms. The glossary is divided by grade level. Select your grade level then the first letter of the term for which you need an explanation. The explanation is offered in text form as well as verbal (click the speaker icon to listen). The eGlossary is also available in other languages including Spanish, Russian, and Chinese.

Multilingual glossary with hundreds of math terms defined in Arabic, Bengali, Chinese, Haitian Creole, English, Hmong, Korean, Russian, Spanish, Tagalog, Urdu, and Vietnamese. Just select a letter of the alphabet to get a list of mathematical terms beginning with that letter, choose a language, and click on a term. The response will be a chart listing the term in English, the term in whatever language you chose, and the definition in your chosen language. Many definitions are accompanied by illustrations.

This site was kind of neat because it listed all the key mathematical terms starting with 6th grade. It makes the terms easily accessible.

Lalala, math, some of these I should watch sometime.

While many math geeks out there may have been teased for their love of numbers, it’s math that makes the world go round, defining everything from the economy to how the universe itself operates. You can indulge your love of mathematics in these great lectures and lecture series. Some are meant to review the basics and others will keep you on the cutting edge of what renowned researchers are doing in the field, but all will help you expand your knowledge and spend a few hours enjoying a topic you love.

This book is the main text for 15.053 Introduction to Optimization taught at MIT. To make the book available online, most chapters have been re-typeset. Chapters 6, 7 and 10 were not, but are still available (as direct scans of the original chapters).

Book on Optimization used for teaching in MIT

Applied Mathematical Programming by Bradley, Hax, and Magnanti (Addison-Wesley, 1977) This book is the main text for 15.053 Introduction to Optimization taught at MIT.

Nice bit of drawing code.

関数プログラミングで扱う幾何学について。

Can create specific type of paper like graph, spinners, etc

Kolmiulotteista mandelbrot-vaahtoa.

the Real 3D Mandelbrot Fractal

fractals en 3D

1年＝250労働日＝2,000労働時間、時給1,000円＝年収200万円、$1 million＝1億円、$1 billion＝10億ドル＝1000億円、AのB%＝BのA%、昭和＋25＝西暦、平成-12＝西暦

IDEA*IDEA ～ 百式管理人のライフハックブログ

# 昭和＋25＝西暦 # 平成-12＝西暦

これ考えるとちょっと悲しくなるね！

１年（365日）＝8760時間

randomly generated levels anyone?

in advance of tonight's #jonathoncoulton gig enjoy the ultimate mandelbrot set http://bit.ly/3LbTdU [from http://twitter.com/Alfie/statuses/5676838065]

(1+8 = 9) 8 If it is a double digit number like 88, where it's:

What finger trees do is give me a way of representing a list that has both the convenience of the traditional cons list, and the search efficiency of the array based method. The basic idea of the finger tree is amazingly simple. It's a balanced tree where you store all of the data in the leaves. The internal nodes are just a structure on which you can hang annotations, which you can use for optimizing search operations on the tree.

"The basic idea of the finger tree is amazingly simple. It's a balanced tree where you store all of the data in the leaves. The internal nodes are just a structure on which you can hang annotations, which you can use for optimizing search operations on the tree. What makes the finger tree so elegant is the way that some very smart people have generalized the idea of annotations to make finger trees into a single, easily customizable structure that's useful for so many different purposes: you customize the annotations that you're going to store in the internal nodes according to the main use of your tree." A commentator says regarding the article however, "Ørjan Johanse is right. You described a monoid-annotated-binary-tree, which is not enough to be a finger tree."

BrainpopJr.

Provides educational movies for K-3 students. Homework Help, leveled quizzes, games and activities for kids. Exceptional resource for teachers and homeschools.

Eureqa is a software tool for detecting equations and hidden mathematical relationships in your data. Its primary goal is to identify the simplest mathematical formulas which could describe the underlying mechanisms that produced the data. Eureqa is free to download and use. Below you will find the program download, video tutorial, user forum, and other and reference materials.

"Eureqa is a software tool for detecting equations and hidden mathematical relationships in your data."

Eureqa is a software tool for detecting equations and hidden mathematical relationships in your data. Its primary goal is to identify the simplest mathematical formulas which could describe the underlying mechanisms that produced the data. Eureqa is free to download and use.

It's just what I've always wanted! Thank you!

Uses GA to discover the most likely equation behind your pile of data. Very pretty.

Is it the beginning of the Asimov's psychohistory ? Ted Talks: http://bit.ly/1CBp #TED [from http://twitter.com/LoXD/statuses/1470242301]

Once he stated as a premise that people are rational I kindda lost interest. Everybody CAN be rational, but not everyone is rational and definitely not all of the time. Just like his example, some people sometimes revert to being like 2 years old.

TED Talks Bruce Bueno de Mesquita uses mathematical analysis to predict (very often correctly) such messy human events as war, political power shifts, Intifada ... After a crisp explanation of how he does it, he offers three predictions on the future of Iran.

Concerned with what you might find on other media sharing sites? SchoolWAX TV was designed with schools, students, teachers, and parents in mind. You will only find educator approved videos on SchoolWAX TV so everyone can learn in a safe and comfortable environment. SchoolWAX TV is the perfect resource for students who are working on their homework or just need a little extra help on any given subject. Teachers can use the animations and videos to capture their students’ attention and enrich classroom lessons! Watch, share, and upload.

SchoolWAX TV was designed with schools, students, teachers, and parents in mind. You will only find educator approved videos on SchoolWAX TV so everyone can learn in a safe and comfortable environment. SchoolWAX TV is the perfect resource for students who are working on their homework or just need a little extra help on any given subject. Teachers can use the animations and videos to capture their students’ attention and enrich classroom lessons!

Great videos site for students and teachers. Good ideas for projects!

online video sharing site designed for school use

videos that teach students, parents and even teachers

great! videos on it

How to Slice a Bagel into Two Linked Halves

Need to calculate the area of a circle, volume of cube quick? Check here to find a cacluator.

freeonlinecalculator.net

Úžasné způsoby jak skládat origami.

100 people are being held prisoner in a jail. They are told that in one hour, they will all be taken to separate windowless, soundproof cells. One at a time, and in a random order, they will be taken from their cells, interrogated, and then sent back to their cells. All interrogations will take place in the same room, which contains one light bulb and the switch that operates it. The light is initially off, but the inmates are free to toggle the switch as often as they want, whenever they are in the interrogation room, and the prison guards will not toggle the switch at all. No prisoner can see the light from his cell. Only one prisoner is interrogated at a time, each prisoner can be interrogated multiple times, and they have no way of communicating besides the light switch. The length and amount of time between interrogations is random, so no help there.

Puzzles! Yummy.

Interesting maths puzzles to keep me occupied this summer.

, I hadn’t found an appropriate publication on category theory that addressed the subject at the proper pace,

Arrow, Structures and Functors

Normally a formal statistical treatment would be too difficult, but I'm here to rescue you with a statistically sound yet incredibly simple formula that will tell you whether or not your A/B test results really are indicating a difference.

Do you have students who wonder... * When will I ever use this in my life? * Will I really use math outside of school? * Do I really use it my everyday life? * Who really uses math in their jobs? * What kind of math is needed for different kinds of jobs? * Does math really make a difference?

Access Code: E1CB847D30

E1CB847D30

Arithmetic Attack

LaTeX and MathML math notation in HTML pages

MathJax is an open source, Ajax-based math display solution designed with a goal of consolidating advances in many web technologies in a single definitive math-on-the-web platform supporting all major browsers.

‘MathJax is an open source, Ajax-based math display solution designed with a goal of consolidating advances in many web technologies in a single definitive math-on-the-web platform supporting all major browsers.’

High-quality display of LaTeX and MathML math notation in HTML pages

This is a Phase II expansion grant from the National Science Foundation (2008-2011). The goal of the project is to develop, classroom test, evaluate and disseminate projects based on primary historical sources in Discrete Mathematics, Combinatorics, Logic and Computer Science courses.

This is a Phase II expansion grant from the National Science Foundation (2008-2011). The goal of the project is to develop, classroom test, evaluate and disseminate projects based on primary historical sources in Discrete Mathematics, Combinatorics, Logic and Computer Science courses. This is a collaborative project between Mathematics (Math) and Computer Science (CS) faculty at New Mexico State University (NMSU) and Colorado State University at Pueblo (CSU-P).

Learning Discrete Mathematics and Computer Science via Primary Historical Sources

The goal of the project is to develop, classroom test, evaluate and disseminate projects based on primary historical sources in Discrete Mathematics, Combinatorics, Logic and Computer Science courses.

An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says "You're all idiots", and pours two beers.

Excellent math joke.

"Teachers have always spent their own money on classroom supplies. With costs rising each year how can teachers add technology and software to the classroom without going broke? One answer is Freeware and/or Open Source software."

Teachers have always spent their own money on classroom supplies. With costs rising each year how can teachers add technology and software to the classroom without going broke? One answer is Freeware and/or Open Source software. This short article provides descriptions and links to some of the best Freeware and Open Source programs for the K-12 Educator.

supposedly free software

Variety of free tools for all levels.

Macomb Intermediate School District

nifty slide show of mathematical works (fractals, etc.), with explanation by mathematician

Fractal amazingness

for students

Schoonheid in beeld en wiskunde!

直線をベジェ曲線にするためのアルゴリズム。参考に。

直線を曲線に補完するコード。

ベジェのスムースアルゴリズム

The Khan Academy is a not-for-profit organization with the mission of providing a high quality education to anyone, anywhere. We have 1000+ videos on YouTube covering everything from basic arithmetic and algebra to differential equations, physics, chemistry, biology and finance which have been recorded by Salman Khan.

"Chaos theory has a bad name, conjuring up images of unpredictable weather, economic crashes and science gone wrong. But there is a fascinating and hidden side to Chaos, one that scientists are only now beginning to understand. It turns out that chaos theory answers a question that mankind has asked for millennia - how did we get here? In this documentary, Professor Jim Al-Khalili sets out to uncover one of the great mysteries of science - how does a universe that starts off as dust end up with intelligent life? How does order emerge from disorder? It's a mindbending, counterintuitive and for many people a deeply troubling idea. But Professor Al-Khalili reveals the science behind much of beauty and structure in the natural world and discovers that far from it being magic or an act of God, it is in fact an intrinsic part of the laws of physics. Amazingly, it turns out that the mathematics of chaos can explain how and why the universe creates exquisite order and pattern. The natural worl

7/10

Utah Education Network's well-designed teacher resource site

peterturtle, turtle try at home

A virtual town where you play games and make friends, while learning about earning, saving, spending and giving. You start out with $50,000 in MinyanMoney and a Condo worth $50,000. You can spend your money, invest your money, and earn more MinyanMoney by playing games or doing real-life chores your parents assign you.

MinyanLand is a virtual community designed to engage kids and families in games and interaction that are entertaining and educational. Appropriate for 3-8. Accessible to deaf students.

Virtual world for learning about economics and finances.

うわお。オレも計算機使ってる

いつもgoogle電卓だなー。in hexで16進数になる。

いやあ、面白い

- やねうらお−よっちゃんイカを食べながら年収1億円稼げる(かも知れない)仕事術

A debut column on math features an introduction to numbers, from upsides (they're efficient) to down (they're ethereal).

I’ll be writing about the elements of mathematics, from pre-school to grad school, for anyone out there who’d like to have a second chance at the subject — but this time from an adult perspective. It’s not intended to be remedial. The goal is to give you a better feeling for what math is all about and why it’s so enthralling to those who get it.

Math Run - how fast is your brain? A simple Brain Training Game for everyone

Javascript 开发的数学绘图工具

웹기반 그래프 작성

plotter, graficador de funciones, hecho en javascript

Pyth

The Knight's Tour is a mathematical problem involving a knight on a chessboard. The knight is placed on the empty board and, moving according to the rules of chess, must visit each square exactly once.

d at runtime g_board = [] # the board will be constructed as a list o

Strategies

“Mathematics is beautiful.” This may sound absurd to people who wince at numbers and equations. But some of the most beautiful things in nature and our universe...

by @SmashingMag

"Layouts featured in this post were created specifically for the purpose of this article. During the design process we made sure that all of the designs shown in this article are essentially mathematical in nature; that is, they exhibit order, symmetry and limitation. We also have followed the Web design algorithm in this process — the designs have distinct themes, styles and elements. To keep things simple and clear, we tried to stick to minimalist designs and also preferred single-page layouts. Obviously, examples in this article are supposed to serve as a simple foundation for your designs and not as the finished designs."

web support estudiants de matematiques

This is a UK-based site with leaflets and booklets to download, revision exercises with answers, maths video tutorials, and other resources, for students needing maths help in Bioscience, Business, Economics, Engineering, Heath Sciences, Physical Sciences, and Mathematics and Statistics.

We are a group of people who run university maths support centres, who teach maths, and who design new media products for learning. We come from the Universities of Loughborough, Leeds and Coventry, from the Educational Broadcasting Services Trust, and from UK Learning and Teaching Support Networks. We have setup mathcentre to deliver mathematics support materials, free of charge, to students, teachers, lecturers and everyone looking for post-16 maths help. mathcentre gives you the opportunity to study important areas of pre-university mathematics, which you may have studied before or may be new to you - the maths you know you'll need for your course.

Measurement of quantum phenomena could be affected by fractal nature of the object being measured.

#beinghuman #maths #math #toread How to think like a statistician without the math http://to.ly/1lt0

fractals

שחור ולבן בהמון וריציות יופי יופי

by Smashing Magazine

Imágenes fractales en blanco y negro

Skill activities links list. Sorted by skill.

OPTION 4 PRT 2

This website provides links to interactive websites where students can go to work on their math skills. You can pick from topics like money, addition, and measurements.

the best math books for the subject at hand

Mathematics is wonderful!

At Mathalicious, our mission is to help transform the way math is taught by providing you with the best, most meaningful and most relevant math content available.  Our lessons are aligned to traditional state standards.  Unlike most math resources, though, our content emphasizes both conceptual understanding and real-world application.

website with links to myriad lesson plans to make math relevant

Answers the questions - "What does this mean?" and "when will I use this?"

RT @Kellblog: 12 Reasons To Be Learning (or at least paying attention to) Graph Theory http://bit.ly/a1F9hY #linkeddata #rdf #eav #gt

Good story on how much science is messed up by misuse of statistics

Tom Siegfried, Mar 27, 2010 "uring the past century, though, a mutant form of math has deflected science’s heart from the modes of calculation that had long served so faithfully. Science was seduced by statistics, the math rooted in the same principles that guarantee profits for Las Vegas casinos. Supposedly, the proper use of statistics makes relying on scientific results a safe bet. But in practice, widespread misuse of statistical methods makes science more like a crapshoot." "Statistical tests are supposed to guide scientists in judging whether an experimental result reflects some real effect or is merely a random fluke, but the standard methods mix mutually inconsistent philosophies and offer no meaningful basis for making such decisions. Even when performed correctly, statistical tests are widely misunderstood and frequently misinterpreted. As a result, countless conclusions in the scientific literature are erroneous, and tests of medical dangers or treatments are often contra"

On the abuse and misuse of statistics by science

Science fails to face the shortcomings of statistics

A useful article outlining the shortcomings of statistics when it comes to ascertaining scientific fact. Half of all medical data could be wrong. "For better or for worse, science has long been married to mathematics. Generally it has been for the better. Especially since the days of Galileo and Newton, math has nurtured science. Rigorous mathematical methods have secured science’s fidelity to fact and conferred a timeless reliability to its findings."

Science fails to face the shortcomings of statistics

"Prime Numbers and the Benford's Law | Pyevolve" http://hub.tm/?RHOqX [from http://twitter.com/carreonG/statuses/1747034327]

Pyevolve - A complete genetic algorithm framework written in pure python

Computational Knowledge Engine

Some of the most useful applications of genetic algorithms in the real world.

Argues that you should look at the insurgency according to its structure.. more fragmented groups, or fewer but stronger groups?

Long running conflicts depend on a stability of number of factions vs. strength of factions, if you have lots of weaker factions, they're not strong enough to commit as effective attacks, if you have fewer, but stronger factions, you can start leveraging negotiation.

"I wanted to build a machine that would be immediately recognizable as a Turing machine to someone familiar with Turing's work."

A video of a working Turing machine that Turing himself would probably have recognized despite the use of modern electronics (the only thing missing is a truly infinite tape). I'm impressed, but it also just drives home why there wasn't a "personal Turing machine revolution" after he proposed the device!

Building a real Turing machine. It uses 35mm film leader and writes 0/1 with a dry erase marker. Very cleaver.

An ACTUAL Turing Machine

「解析の結果、このコードには、プロデューサーのジョージ・マーティンが演奏したと思われる5つのピアノ音が含まれていることが判明した。」

081209

x^2

Use this free site to access interactives in Astronomy, Biology, Chemistry, Earth Science, Geology, Living Environment, Meteorology, Nature of Science, or Physics. Click on a subject to view a list of games. Click on the teachers section to receive great tips, create your own games, and download study sheets for use in class. 1

Flash drill games

Interactive educational games, all subjects

List of ideas for grades 1-6 on math.

worksheets and activities from kindy to year 6

A large range of lessons which are divided clearly into grades. The lesson are easy to read and are able to prepare a teacher for the lesson.

This website focuses on the content strand geometry. It has a list of lessons and activities ranging from grade 1 to 5 which teachers could use to support the learning of geometry.

"There are many things I know are true... ... but don't really believe"

Dr. Donald Knuth’s Dancing Links Algorithm solves an Exact Cover situation. The Exact Cover problem can be extended to a variety of applications that need to fill constraints. Sudoku is one such special case of the Exact Cover problem.

See also the references, esp. Knuth's original paper.

Some great online activities for practising grammar, punctuation and other language skills.

interactive for use from home or school

Great source for online games

Skills activities for the US 2nd grade.

Interactive compound words resources for 2nd grade language arts, compound words, combine two words, spelling, main idea, grammar, great small actiivities for all subjects

Internet resources to use in classroom instruction, developing project ideas, reinforcing specific subject matter areas both in the class and at home and even for online technology tutorials.

2nd grade Educational Site

Links to interactive games for grammar, phonics and reading.

Symmetry. Sorting shapes by lines of symmetry.

Sort shapes as to reflective symmetry

Determine which shapes have 0, 1, 2 or more lines of symmetry.

How many lines of symmetry does a square have? Find out this and more in this symmetry sorting activity. Available as a bounce back demo or without bounce back for assessment.

print for quiz

A library of math video lessons. It seems to go upt to grade 10.

Biblioteca Livre de Vídeo Aulas de Matemática

A comprehensive compilation of mathematical video online tutorials

the most comprehensive library of math video lessons on the planet

You will need the password to sign in. Use this: sebastian465 log in id is my email: sebastianpanakal@gmail.com

Math lesson videos

Free library of math lessons

Wolfram|Alpha is a free online computational knowledge engine that generates answers to questions in real time

Browse our video gallery to learn more about how you can utilize Wolfram|Alpha in the classroom.

Wolfram|Alpha is a free online computational knowledge engine that generates answers to questions in real time by doing computations on its own vast internal knowledge base. Our long-term goal is to make all systematic knowledge immediately computable and accessible to everyone. This can be valuable to educators in many ways.

contains lesson plans using wolfram alpha

"Wolfram|Alpha is a free online computational knowledge engine that generates answers to questions in real time by doing computations on its own vast internal knowledge base. Our long-term goal is to make all systematic knowledge immediately computable and accessible to everyone. This can be valuable to educators in many ways. "

オイラー

哲学的な何か、あと数学とか

解らないけど面白い

=850*77.1

"Computers are supposed to be pretty good at this math stuff. What gives? How is it possible to produce such blatantly incorrect results from seemingly trivial calculations? Should we even be trusting our computers to do math at all?"

"Computers are awesome, yes, but they aren't infinite.. yet. So any prospects of storing any infinitely repeating number on them are dim at best. The best we can do is work with approximations at varying levels of precision that are "good enough", where "good enough" depends on what you're doing, and how you're doing it. And it's complicated to get right."

一些有用的代码收集

Frammenti di codice C per trucchetti

the bit twiddler

An interesting article highlighting the need to spark student interest in maths through the use of magic numbers, links to music and the creative arts and through an emphasis that, “A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas,” (cited du Sautoy, 2009). The article is a brilliant read for math teachers in the diverse classroom who need to understand that for some students, “the subject comes alive when they learn how mathematics is not an isolated subject, but runs seductively below the surface of many other subjects in the curriculum,” (du Sautoy, 2009). The article may be beneficial for those teachers aiming to engage the disengaged and may provide teachers with ideas for extension activities for gifted and talented students. Well worth a read for any teacher wanting to spice up their mathematics curriculum.

Guardian article written by Marcus du Sautoy 23/06/09 on livening up the maths curriculum with big, creative mathematical adventures. Links to gallery of useful archietectural photos. Recommended by CH. Links to other useful Guardian articles on maths by same author.

"I've never understood why education is so compartmentalised" - "... the maths we were doing in the classroom wasn't really what maths was about. It was something much more exciting, creative, imaginative. Those books provided me with a key to the secret garden of mathematics" - "In that garden I discovered that mathematics also has great stories. Unsolved mysteries like the enigma of prime numbers. Magical mathematical machines that could help you see in four dimensions. Mathematicians who had journeyed to infinity and beyond..." - lighting the fire, relating to the abstract

How do you spark off an interest in maths when the curriculum seems dreary? It's all about mystery, big stories and journeys to infinity and beyond, says Marcus du Sautoy

I've never understood why education is so compartmentalised. My son looks at his timetable: maths first lesson, history second lesson, music before lunch. The curriculum gives no hint at how integrated all these subjects are. To look at the historical evolution of mathematical ideas provides an invaluable perspective on why the mathematics was created in the first place.

great essay on encouraging a passion for math

Aims to provide both short and simple answers to the common recurring questions of novice programmers about floating-point numbers not 'adding up' correctly, and more in-depth information about how IEEE 754 floats work, when and how to use them correctly, and what to use instead when they are not appropriate.

many language arts activities for COWs or interactive whiteboard

story starters, myth generator, character scrapbook

Find easy-to-use Interactive Whiteboard teaching tips and make the most of Language Arts Online Activities on your Interactive Whiteboard.

Reading, Science, Social Studies, Math activities on line

How we can reshape the math curriculum for critical thinking.

Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. At TEDxNYED, Dan Meyer shows classroom-tested math exercises that prompt students to stop and think.

differential equations

RT - "Romeo and Juliet behave like simple harmonic oscillators" - unfortunately phase shifted!! - http://alturl.com/otbb [from http://twitter.com/vivek_kumar/statuses/2647778575]

by steven strogatz.

RT @iwestminster “Love me, love me not” reduces love to a mathematical equation http://tr.im/mNUs (I was never good at #math:) #homeschool [from http://twitter.com/CircleReader/statuses/1961151636]

Blog column by Steven Strogatz.

Love of Romeo and Juliet, ODE style... by Steven Strogatz

Variety of virtual manipulatives for interactive whiteboards (IWB's)

Virtual Manipulatives http://bit.ly/dxfNI0 #edtech #math – Jeff Thomas (jdthomas7) http://twitter.com/jdthomas7/statuses/14415867622

This is the tenth post in an article series about MIT's lecture course Introduction to Algorithms. In this post I ...

"This problem, although seemingly simple, is hard to understand. For cognitive reasons that are not fully understood, while our intuitions regarding a priori possibilities are fairly good, we are easily misled when we try to use probability to quantify our knowledge. This is a fancypants way of saying there were almost a thousand comments on that post, with not a lot of agreement to be found. "

someone who told you they had two children, and one of them is a girl. What are the

メタ役立ちそう

後者関数のラムダ式に書き間違いがある気がする。 succ = λx.λf.λx.f(n f x) => succ = λn.λf.λx.f(n f x) だと思うんだけど、どうなんだろう…。

Calculation by hand

そもそも 2D で表現できる情報を 3D で表現するのはまったくの無駄

タイトルのまんま

なるほど確かに

「そもそも円グラフが良くない」←同感。いつも円グラフを書いて、棒グラフに書き直してる。

The Princeton Companion to Mathematics

How Not To Run An A/B Test

Interesting argument (with statistical rationalisation) explaining why A/B tests should be run to a fixed number of observations. Advises against pushing a winner too quickly.

A good article which suggests not ending an A/B test too soon just because it has reached 95% confidence.

tools designed for teacher-facilitated instruction, and include sample problems to give teachers instructional suggestions. For each tool you will find a short instructional video, standards alignment (including the recent Common Core State Standards), key vocabulary, and IEP goals

Focus on teaching fractions!

Conceptua (MeTRIC): standards-based, teacher facilitated math tools... procedural, higher-order concepts, etc.

This site provides visual math lessons. Though this site specializes in fractions, there are pieces any level math teacher can grab from here.

"Steven Strogatz, an award-winning professor, takes readers from the basics to the baffling in a 15-part series on mathematics. Beginning with a column on why numbers are helpful, he goes on to investigate topics including negative numbers, calculus and group theory, finishing with the mysteries of infinity."

15 articles on Maths from The New York Times. Assessment tasks perhaps?

15 artigos interessantes sobre matemática

Is the new iPhone resolution so high that the human eye cannot detect the pixels?

"...at 12 inches from the eye, Jobs claims, the pixels on the new iPhone are so small that they exceed your eye’s ability to detect them."

In this post, Drew Conway (a PhD Candidate at New York University, studying networks) and I will walk you through a guide that we hope may be of use to others trying to find their way through network theor

IF YOU found a self-replicating organism living inside your computer, your first instinct might be to reach for the antivirus software. If, however, you are Andrew Wade, an avid player in the two-dimensional, mathematical universe known as the Game of Life, such a discovery is nothing short of an epiphany.

First replicating creature spawned in life simulator

Posted by Supybot

Great illustration.

http://hacks.mozilla.org/2010/06/css3-calc/

CSS 로 크기 따위 계산하기..

これが使えるようになればだいぶ便利になるな

Firefox 4: CSS3 calc()

quite convincing :)

Tau = 2*Pi. Revelation of the century.

The Tau Manifesto

Hint: 13/27

Great! When intuition and math probably look wrong: http://bit.ly/9ohKuV #mathematics #science – Amir Kassaei (AmirKassaei) http://twitter.com/AmirKassaei/statuses/17519030506

The most direct way of computing sample variance or standard deviation can have severe numerical problems. [...] There is a way to compute variance that is more accurate and is guaranteed to always give positive results. Furthermore, the method computes a running variance. That is, the method computes the variance as the x's arrive one at a time. The data do not need to be saved for a second pass.

"This better way of computing variance goes back to a 1962 paper by B. P. Welford and is presented in Donald Knuth's Art of Computer Programming, Vol 2, page 232, 3rd edition. Although this solution has been known for decades, not enough people know about it. Most people are probably unaware that computing sample variance can be difficult until the first time they compute a standard deviation and get an exception for taking the square root of a negative number. It is not obvious that the method is correct even in exact arithmetic. It's even less obvious that the method has superior numerical properties, but it does."

A simple way to compute running sample variance (standard deviation).

Computing mean, variance and standard deviation on a stream of data.

The onset of summer is no excuse to stop learning. In this year’s session, we will address Quantum Physics. Be here each Monday morning through July and August for a new lesson in the nine part series, covering graduate level physics concepts with grade school math, or no math at all.

Mathematics for Computer Science

One of the best laypersons explanation of algorithm complexity that I've seen.

Traditional computers can solve problems in polynomial time. Certain things are used in the world because of this. Public Key Cryptography is a prime example. It is computationally hard to find two prime factors of a very large number. If it wasn't, we couldn't use the public key systems we use.

Stack Overflow post about Big O notation

There are three levels of game play beginner, intermediate, and advanced. As students play games, they will learn Morse Code, complete brainteasers that involve math and logic, create their own cipher machines, crack Yardleygrams and cryptograms, and learn some words in different languages.

This site from the National Security Agency offers lots of information about ciphers and codes, and lets students test their skills at detection and code-breaking.

There are three levels of game play beginner, intermediate, and advanced. As students play games, they will learn Morse Code, complete brainteasers that involve math and logic, create their own cipher machines, crack Yardleygrams and cryptograms, and learn some words in different languages.

The solution to the puzzle is unique, and in some cases the knowledge that the solution is unique can actually give you a short-cut to finding the answer to a particular question, but it's possible to find the unique solution even without making use of the fact that the solution is unique. (Thanks to Andy Latto for bringing this subtlety to my attention.)

20. Standardized test : intelligence :: barometer :

The first question whose answer is B is question

The solution to the puzzle is unique, and in some cases the knowledge that the solution is unique can actually give you a short-cut to finding the answer to a particular question, but it's possible to find the unique solution even without making use of the fact that the solution is unique. (Thanks to Andy Latto for bringing this subtlety to my attention.)

20. Standardized test : intelligence :: barometer :

The first question whose answer is B is question