robertogreco + math   361

Freakonomics » Lottery Loopholes and Deadly Doctors: A New Freakonomics Radio Podcast
"Also in this episode, we take a broader look at financial literacy – or, really, financial illiteracy. In general, Americans aren’t very good at the basics of saving, investing, and retirement planning. So we want to know: How do we improve our grade?  We’ll hear from one scholar who wants to put financial literacy in schools and another who thinks that would be a waste of time. Guests also include two members of President Obama’s economic team and National Book Award-winner Sherwin Nuland.

And if education isn’t the route to financial literacy, maybe we can learn something from how one Los Angeles hospital solved the problem of its doctors failing to wash their hands."
whatworks  visualization  teaching  math  economics  hospitals  freakonomics  2012  healthcare  medicine  health  education  learning  financialliteracy  finances  from delicious
20 days ago by robertogreco
Jersey Jazzman: No Child Let Ahead
"Put yourself in an Eighth Grade geometry (a high level of mathematics for that age) teacher's shoes for a minute. Your kids will be taking a test that mostly covers content from last year. Your livelihood is on the line. Your ability to pay your mortgage is predicated not on your kids' abilities to pass a test in this year's content, but on last year's content.

What are you going to do? Push them ahead? Or make damn well sure they "grow" on a test based on what they did the previous year?"
via:tom.hoffman  math  tracking  standardizedtesting  standards  testing  assessment  valueadded  teaching  education  policy  2012 
7 weeks ago by robertogreco
Makematics: turning CS research into maker tools
"No generation of artists has ever been more dependent on scientific and technical advances than today’s. Today’s artists work on computers. Advances in computer science and related mathematical fields underlie everything that digital artists make. Recently these advances have lead to the advent of whole new creative fields like interactive art, generative graphics, data visualization, and digital fabrication.

In order to produce excellent and novel work in these new fields, artists have had to learn computational and mathematical techniques. They started with basic material like trigonometry for 2D games and graphics, the rudiments of computer vision for interactive installations, and primitive signal processing for embedded electronics.

Increasingly these new creative fields are becoming the basis of art and design across our culture. And these techniques are becoming the foundation of a new kind of art and design education."
education  design  electronics  programming  generativegraphics  fabbing  digitalfabrication  datavisualization  2012  technology  science  somputers  computing  computation  makers  making  makematics  art  math  from delicious
9 weeks ago by robertogreco
Kill Math
"The power to understand and predict the quantities of the world should not be restricted to those with a freakish knack for manipulating abstract symbols.

When most people speak of Math, what they have in mind is more its mechanism than its essence. This "Math" consists of assigning meaning to a set of symbols, blindly shuffling around these symbols according to arcane rules, and then interpreting a meaning from the shuffled result. The process is not unlike casting lots."

This mechanism of math evolved for a reason: it was the most efficient means of modeling quantitative systems given the constraints of pencil and paper. Unfortunately, most people are not comfortable with bundling up meaning into abstract symbols and making them dance. Thus, the power of math beyond arithmetic is generally reserved for a clergy of scientists and engineers (many of whom struggle with symbolic abstractions more than they'll actually admit).

We are no longer constrained by pencil and paper…"
paullockhart  teaching  killmath  via:derrickschultz  bretvictor  design  programming  learning  education  mathematics  math  visualization  philosophy  physics  from delicious
february 2012 by robertogreco
dy/dan » On iBooks 2 And iBooks Author
"Algebra, as designed by McGraw-Hill for iBooks 2, is lighter by pounds. It's indexed for search. It's quick. You can highlight the text and insert notes. It removes one layer of abstraction between students and tools that already existed. Rather than accessing quizzes, tutorials, and enrichment videos by loading a CD-ROM into a computer or entering a password into a website, they're a tap away.

That's where the differences end. Students still interact with mathematics as they always have…

What I'm saying, basically, is that I'd have to modify, adapt, and extend the McGraw-Hill iBook in all the same ways that I modified, adapted, and extended the McGraw-Hill print textbook. We'd pull out the iBook just as infrequently as its printed sibling."
2012  algebra  learning  education  textbooks  ibooks  danmeyer  teaching  math  ibooksauthor  from delicious
february 2012 by robertogreco
dy/dan » Blog Archive » It’s Called iBooks Author, Not iMathTextbooks Author, And The Trouble That Results
"Print textbooks are powerless to facilitate that moment right there. Teachers can't facilitate it, not at anywhere near the speed and ease I'm suggesting. iBooks Author can't facilitate it either, but if it could — if it had some kind of "Q&A;" widget that lived alongside its other widgets and basically copied all the options from Google Forms — I'd find the platform difficult to resist.

But iBooks Author doesn't exist for the pleasure of math education publishers or even education publishers. "This is about Apple versus Amazon for who will sell digital literature in the future," says Audrey Watters. "This isn't really about textbooks."

iBooks Author serves publishers, period. It'll help you publish your Firefly fan fiction, your autobiography, or your Nana's recipe collection. It's extremely useful, broadly speaking, which inevitably means that, narrowly speaking to math education publishers, it's much less useful."
education  teaching  math  ibooksauthor  books  publishing  danmeyer  2012  textbooks  ibooks  from delicious
february 2012 by robertogreco
Pasta&Vinegar » Blog Archive » The graphing calculator plateau
"This piece in The Atlantic by Alexis Madrigal deals with an interesting case in technological evolution: the stabilization of a technical objects, which in this case in the so-called graphing calculator."
technology  calculators  math  education  science  nicolasnova  tools  plateaus  2011  alexismadrigal  has:for  from delicious
september 2011 by robertogreco
How to Fix Our Math Education - NYTimes.com
"Imagine replacing the sequence of algebra, geometry and calculus with a sequence of finance, data and basic engineering. In the finance course, students would learn the exponential function, use formulas in spreadsheets and study the budgets of people, companies and governments. In the data course, students would gather their own data sets and learn how, in fields as diverse as sports and medicine, larger samples give better estimates of averages. In the basic engineering course, students would learn the workings of engines, sound waves, TV signals and computers. Science and math were originally discovered together, and they are best learned together now."
education  math  mathematics  curriculum  solgarfunkel  davidmumford  2011  learning  problemsolving  realworldproblems  statistics  finance  science  engineering  from delicious
august 2011 by robertogreco
Eric Schmidt, chairman of Google, condemns British education system | Technology | The Guardian
""Over the past century, the UK has stopped nurturing its polymaths. You need to bring art and science back together."…<br />
<br />
"It was a time when the same people wrote poetry and built bridges," he said. "Lewis Carroll didn't just write one of the classic fairytales of all time. He was also a mathematics tutor at Oxford. James Clerk Maxwell was described by Einstein as among the best physicists since Newton – but was also a published poet."<br />
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Schmidt's comments echoed sentiments expressed by Steve Jobs, the chief executive of Apple, who revealed this week that he was stepping down. "The Macintosh turned out so well because the people working on it were musicians, artists, poets and historians – who also happened to be excellent computer scientists," Jobs once told the New York Times."
ericschmidt  stevejobs  technology  science  polymaths  generalists  well-rounded  education  art  uk  2011  math  mathematics  teaching  learning  creativity  innovation  lewiscarroll  jamesclerkmaxwell  alberteinstein  isaacnewton  apple  poets  historians  newliberalarts  liberalarts  digitalhumanities  computers  computerscience  compsci  from delicious
august 2011 by robertogreco
13-Year-Old Makes Solar Power Breakthrough by Harnessing the Fibonacci Sequence | Inhabitat - Green Design Will Save the World
"While most 13-year-olds spend their free time playing video games or cruising Facebook, one 7th grader was trekking through the woods uncovering a mystery of science. After studying how trees branch in a very specific way, Aidan Dwyer created a solar cell tree that produces 20-50% more power than a uniform array of photovoltaic panels. His impressive results show that using a specific formula for distributing solar cells can drastically improve energy generation. The study earned Aidan a provisional U.S patent - it's a rare find in the field of technology and a fantastic example of how biomimicry can drastically improve design."<br />
<br />
[More: http://www.amnh.org/nationalcenter/youngnaturalistawards/2011/aidan.html ]
design  technology  science  math  energy  solar  solarpower  aidandwyer  trees  nature  fibonacci  from delicious
august 2011 by robertogreco
Twitter / @robinsloan: @stirman underwear = jeans ...
stirman [Jason Stirman]: Packing for trip. Industry standard is underwear = 1.5x per day, but jeans = 1x per 3.5 days, right?<br />
<br />
robinsloan: @stirman underwear = jeans × π
humor  packing  robinsloan  ratios  math  calculation  classtrips  from delicious
august 2011 by robertogreco
Lost In Recursion | endless thinking about math and school
"I’m Paul Salomon, and Math/ed stuff is constantly rolling around and boiling over in my mind.  I don’t value grades, scores, or top-down standards.  I want schools that honor the people within them and let student interest drive their culture.  Aside from that, a whole mess of ideas are careening around inside my head, making me question everything I do.  What is possible at school?  What’s math worth? How do people become experts?  How do I get better?  These are the things I’m working on at Saint Ann’s School in Brooklyn, in the hopes that I can better share engaging mathematics."
education  teaching  math  blogs  paulsalomon  from delicious
july 2011 by robertogreco
Kevin Slavin: How algorithms shape our world | Video on TED.com
"Kevin Slavin argues that we're living in a world designed for -- and increasingly controlled by -- algorithms. In this riveting talk from TEDGlobal, he shows how these complex computer programs determine: espionage tactics, stock prices, movie scripts, and architecture. And he warns that we are writing code we can't understand, with implications we can't control."
kevinslavin  algorithms  complexity  coding  ted  data  finance  art  architecture  math  mathematics  control  2011  netflix  markets  bots  from delicious
july 2011 by robertogreco
Controversy over the Christakis-Fowler findings on the contagion of obesity — The Monkey Cage
"To return to Christakis and Fowler: I’d be interested to see their reply to the criticisms of Lyons and others. Perhaps they’ll simply step back a few paces and say that the Framingham data are sparse, that they’ve found some interesting patterns that they hope will inspire further study in other contexts.<br />
<br />
After all, even if the Framingham results were unambiguously statistically significant, robust to reasonable models of measurement error, and had a clean identification strategy—even then, it’s just one group of people. In that sense, the debate about Christakis and Fowler’s particular claims, interesting and (methodologically) important as it is, is only part of a larger story of personal networks, health, and behavior. I hope that Lyons’s article and any responses by Christakis, Fowler, and others will be helpful in designing and analyzing future studies and in piecing together the big picture."
2011  nicholaschristakis  jamesfowler  statistics  socialscience  research  data  controversy  obesity  math  from delicious
july 2011 by robertogreco
Real-World Math - storify.com
"Hey, kids! Ever wonder how math is done in the real world? This is the way math is done in the real world."<br />
<br />
Storify that I put together to document a conversation on Twitter about a specific math problems that Diana Kimball asked for help with.
math  mathematics  realworld  cv  storytelling  storify  collaboration  twitter  2011  timcarmody  robinsloan  dianakimball  games  boardgames  problemsolving  statistics  probability  conversation  from delicious
july 2011 by robertogreco
Buckminster Fuller - Wikipedia
"He attended Froebelian Kindergarten. Spending much of his youth on Bear Island, in Penobscot Bay off the coast of Maine, he had trouble with geometry, being unable to understand the abstraction necessary to imagine that a chalk dot on the blackboard represented a mathematical point, or that an imperfectly drawn line with an arrow on the end was meant to stretch off to infinity. He often made items from materials he brought home from the woods, and sometimes made his own tools. He experimented with designing a new apparatus for human propulsion of small boats.<br />
<br />
Years later, he decided that this sort of experience had provided him with not only an interest in design, but also a habit of being familiar with and knowledgeable about the materials that his later projects would require. Fuller earned a machinist's certification, and knew how to use the press brake, stretch press, and other tools and equipment used in the sheet metal trade."
design  technology  art  architecture  future  buckminsterfuller  childhood  froebel  kindergarten  learning  materials  systemsthinking  biography  maine  bearisland  penobscotbay  geometry  math  mathematics  toolmaking  designthinking  from delicious
june 2011 by robertogreco
Maths and Science blog- matthen
"I post original stuff about maths, space, computational linguistics and other things that I like. This blog is meant to be accessible and interesting to people of all backgrounds. My undergrad was maths in Cambridge, and I'm now starting research in Speech and Language technology."
matthen  blogs  tumblr  math  science  mathematics  space  computationallinguistics  computing  from delicious
june 2011 by robertogreco
How I Failed, Failed, and Finally Succeeded at Learning How to Code - Technology - The Atlantic
"Kids are naturally curious. They love blank slates: a sandbox, a bag of LEGOs. Once you show them a little of what the machine can do they'll clamor for more. They'll want to know how to make that circle a little smaller or how to make that song go a little faster. They'll imagine a game in their head and then relentlessly fight to build it.
Along the way, of course, they'll start to pick up all the concepts you wanted to teach them in the first place. And those concepts will stick because they learned them not in a vacuum, but in the service of a problem they were itching to solve.

Project Euler, named for the Swiss mathematician Leonhard Euler, is popular (more than 150,000 users have submitted 2,630,835 solutions) precisely because Colin Hughes…crafted problems that lots of people get the itch to solve. And it's an effective teacher because those problems are arranged like the programs in the ORIC-1's manual, in what Hughes calls an "inductive chain":"
education  learning  teaching  history  howto  coding  programming  curiosity  sandboxes  lego  blankslates  projecteuler  problemsolving  math  mathematics  themathematician'slament  paullockhart  curriculum  collegeboard  testing  rote  rotelearning  criticalthinking  jamessomers  colinhughes  basic  games  gaming  play  tcsnmy  unschooling  deschooling  pedagogy 
june 2011 by robertogreco
Eide Neurolearning Blog: Cradles of Eminence?
"If you really learn more about the childhoods of men and women who would late  become eminent, the common factors were more that they were allowed to do what they wanted to do and immerse themselves in whatever interesting subject or idea struck them at the time. It looks very different from this scheduled routine of Junior Kumon, karate classes, and after preschool tutoring all before the age of 7. "
learning  motivation  eminence  flowtheory  neurolearning  deirdrelovecky  education  unschooling  deschooling  tcsnmy  lcproject  freedom  independence  freetime  self-directedlearning  interestdriven  kumon  testing  testprep  math  mathematics  rote  rotelearning  non-traditional  alternative  experience  parenting  generalists  2011  from delicious
may 2011 by robertogreco
Ukulele Dayz « Sarcasymptote
"What I’ve been doing a better job of, though, (but see footnote 2 and know that IT STILL ISN’T GOOD), is backing off and letting them struggle…<br />
<br />
…brought my ukulele to school one day because I had a rehearsal to go to after, and I started playing it in class as a joke. Not only did they not complain, but they said they kind of liked it[3]. So I started to do it more. And I noticed something. They stopped asking me for help when I was playing ukulele and would instead turn to their neighbor and ask them. Good God, that is what I’d been asking you guys to do forever! Hot damn! It was beautiful: I could still move around and check up on their work, but when they asked me to help them, I would just say, “Ugh, I’m too busy playing ukulele.”
teaching  via:lukeneff  sarcasymptote  math  struggle  learning  belesshelpful  2011  ukeleles  from delicious
may 2011 by robertogreco
JUMP Math
"JUMP Math is a numeracy program started in 1998 by mathematician, author and award-winning playwright John Mighton. We are a federally registered charitable organization based in Toronto, Canada. <br />
JUMP Math believes that all children can be led to think mathematically, and that with even a modest amount of attention every child will flourish. By demonstrating that even children who are failing math or who are labeled as slow learners can excel at math, we hope to dispel the myths that currently prevail. We offer educators and parents complete and balanced materials as well as training to help them reach all students."
math  education  teaching  resources  curriculum  jump  jumpmath  johnmighton  schools  mathematics  from delicious
april 2011 by robertogreco
Douglas Hofstadter - Wikipedia
"Douglas Richard Hofstadter (born February 15, 1945) is an American academic whose research focuses on consciousness, analogy-making, artistic creation, literary translation, and discovery in mathematics and physics."<br />
<br />
"Both inside and outside his professional work, Hofstadter is driven by a pursuit of beauty. He seeks beautiful mathematical patterns, beautiful explanations, beautiful typefaces, beautiful sonic patterns in poetry, and so forth. Hofstadter has said of himself, "I'm someone who has one foot in the world of humanities and arts, and the other foot in the world of science.""
psychology  math  science  douglashofstaster  physics  consciousness  analogy  art  beauty  interdisciplinary  multidisciplinary  philosophy  literarytranslation  translation  communication  patterns  crossdisciplinary  crosspollination  self-reference  creativity  cognitivesciences  from delicious
april 2011 by robertogreco
Khan Academy and the mythical math cure « Generation YES Blog
"There is no doubt that Khan Academy fills a perceived need that something needs to be fixed about math instruction. But at some point, when you talk about learning math, you have to define your terms. If you are a strict instructionist – you are going to love Khan Academy. If you are a constructivist, you are going to find fault with a solution that is all about instruction. So any discussion of Khan Academy in the classroom has to start with the question, how do YOU believe people learn?<br />
<br />
I have more to say about Khan Academy and math education in the US — this post turned into 4 parts!<br />
<br />
Part 1 – Khan Academy and the mythical math cure (this post)<br />
Part 2 – Khan Academy – algorithms and autonomy<br />
Part 3 – Don’t we need balance? and other questions<br />
Part 4 – Monday… Someday"
math  learning  khanacademy  education  constructivism  instruction  memorization  algorithms  schools  teaching  sylviamartinez  2011  instructionism  mathematics  tcsnmy  from delicious
april 2011 by robertogreco
Journal, Day Five — The Square Root of Negative One : Richard Siken : Harriet the Blog : The Poetry Foundation
"Can you do that? Can you just plug in some made up thing and end up with solutions? Can you simply draw some imaginary lines and end up with a better map? You don’t expect to be acclaimed as a great scientist until you discover something, something big and useful, but shouldn’t this something have to be real? Let’s jump ahead 125 years. It’s 1922 and Ludwig Wittgenstein has just published his Tractatus Logico-Philosophicus which insists, among other things, that the limits of my language mean the limits of my world. Or, put another way: how you say it is how you think it. And, more dramatically: if you can’t say it, you can’t think it. And, if you can’t think it, how can you solve it?" [via: http://jslr.tumblr.com/post/4061339301/can-you-do-that-can-you-just-plug-in-some-made-up ]
richardsiken  math  mathematics  wittgenstein  thinking  philosophy  language  expression  communication  tractatuslogico-philosophicus  imagination  literature  poetry  from delicious
march 2011 by robertogreco
The Virtues Of Play | Wired Science | Wired.com
"Nietzsche said it best: “The struggle of maturity is to recover the seriousness of the child at play.” While parents might be tempted to enroll their kids in preschools that seem the most “academic,” that’s probably a mistake. There is nothing frivolous about play."
education  play  children  psychology  games  reggioemilia  montessori  kindergarten  preschool  unschooling  deschooling  jonahlehrer  nietzsche  learning  academics  reading  math  tcsnmy  schools  damagedbyschools  cognition  parenting  from delicious
march 2011 by robertogreco
The Way You Learned Math Is So Old School : NPR
"there's a reason elementary schools are teaching arithmetic in a new way.<br />
<br />
"…largely to reflect the different needs of society. No one ever in their real life anymore needs to — & in most cases never does — do the calculations themselves."<br />
<br />
Computers do arithmetic for us…but making computers do the things we want them to do requires algebraic thinking. For instance, take a computer spreadsheet. The computer does all the calculations for you automatically. But you have to write the macros that tell it what calculations to do —& that is algebraic thinking.<br />
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"You cannot become good at algebra w/out a mastery of arithmetic, but arithmetic itself is no longer the ultimate goal." Thus the emphasis in teaching mathematics today is on getting people to be sophisticated, algebraic thinkers.<br />
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That doesn't mean that kids can skip learning their multiplications tables. "But the way it's taught now is you get to multiplication tables by understanding number system & what numbers mean"
education  math  teaching  learning  algebra  algebraicthinking  criticalthinking  mathematics  change  algorithms  parenting  tcsnmy  deschooling  from delicious
march 2011 by robertogreco
The Top 10 iPod Touch Apps for Math Teachers: Free iPod Touch Apps and Games
"Finding free iPod Touch apps and games to use in Math classes can be a frustrating and time consuming venture. Many have limited functionality or are littered with ads for the paid versions. However, not all apps are like that. The following are my pick for the top 10 iPod Touch apps. All of them are free, and all have legitimate uses for Math teachers and their students."<br />
<br />
[via: http://twitter.com/steelemaley/status/40072340255543296 ]
math  ipodtouch  applications  ios  education  mathematics  learning  free  from delicious
february 2011 by robertogreco
Education Week: An Open Message to President Barack Obama
"in years of Cold War, public schools were blamed for contributing to alleged missile gap & prospect of losing space race. Federal initiatives resulted in curricular priorities…math & science, to be led by university scholar-specialists…students learned from these initiatives that they did not like math & science…university enrollments in those disciplines plummeted…Earlier, Harvard President James B. Conant had called for a moratorium on national testing…situation is far worse today…<br />
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In mid-20th century, a committee of American Academy of Arts & Sciences pointed out…purely academic program advocated for high school by many university liberal arts professors…whole national life would be in danger of collapse. Unfortunately, we backed away from commitment to meaningful preparation of young people for life after HS.<br />
<br />
…your metrics…Race to the Top…relegating studies & activities that children love—civic education, arts, career education—to bottom rung of academic ladder."
education  rttt  barackobama  arneduncan  2011  learning  science  math  mathematics  schools  curriculum  arts  vocational  colleges  universities  collegeprep  history  coldwar  testing  standards  standardizedtesting  standardization  tcsnmy  meaning  publicschools  civiceducation  careers  danieltanner  jamesconant  johndewey  highereducation  children  politics  policy  inequality  engagement  teaching  from delicious
february 2011 by robertogreco
12 Dozen Places To Educate Yourself Online For Free
"All education is self-education.  Period.  It doesn’t matter if you’re sitting in a college classroom or a coffee shop.  We don’t learn anything we don’t want to learn.<br />
<br />
Those people who take the time and initiative to pursue knowledge on their own are the only ones who earn a real education in this world.  Take a look at any widely acclaimed scholar, entrepreneur or historical figure you can think of.  Formal education or not, you’ll find that he or she is a product of continuous self-education.<br />
<br />
If you’re interested in learning something new, this article is for you.  Broken down by subject and/or category, here are several top-notch self-education resources I have bookmarked online over the past few years.<br />
<br />
Note that some of the sources overlap between various subjects of education.  Therefore, each has been placed under a specific subject based on the majority focus of the source’s content."
education  learning  online  free  reference  homeschool  unschooling  deschooling  via:caterina  glvo  edg  srg  references  opencourseware  opencontent  law  humanities  history  classideas  science  health  lcproject  business  money  compsci  engineering  math  mathematics  english  communication  books  autodidacts  self-education  self-directedlearning  internet  web  openeducation  from delicious
february 2011 by robertogreco
Mice Problem -- from Wolfram MathWorld
"In the mice problem, also called the beetle problem, mice start at the corners of a regular -gon of unit side length, each heading towards its closest neighboring mouse in a counterclockwise direction at constant speed. The mice each trace out a logarithmic spiral, meet in the center of the polygon, and travel a distance…"
math  programming  animation  geometry  via:brita  miceproblem  mathematics  from delicious
february 2011 by robertogreco
n+1: N1BReading, Part 2
"The Lost Books of the Odyssey by Zachary Mason—that book was awesome. It came out in 2007 from a tiny publisher & was republished by FSG last year, at which point my esteemed friend Mansbach gave it a review…I think he was less enthusiastic than I have since become. The book is not just a game w/ the Odyssey…but a genuine rewriting of it. For what was the thing about Odysseus? He was crafty; he was smarter than everyone else. But what did it mean to be smarter than a bunch of peasants; what did it mean to be a logician 600 years before the birth of Pythagoras? Mason puts the ingeniousness, the cleverness, & the math back into Odysseus & back also into contemporary literature. It’s interesting that, according to the jacket copy, Mason in his day-to-day life works on AI: Computers too are pre-logical, full of force but lacking reason. Working with computers all those years, Mason must himself have come to feel like Odysseus among the Agamemnon-era Greeks." —Keith Gessen
books  odyssey  lists  n+1  zacharymason  math  ai  literature  from delicious
february 2011 by robertogreco
The Joy of Stats
"Documentary which takes viewers on a rollercoaster ride through the wonderful world of statistics to explore the remarkable power thay have to change our understanding of the world, presented by superstar boffin Professor Hans Rosling, whose eye-opening, mind-expanding and funny online lectures have made him an international internet legend."
statistics  documentary  film  classideas  math  mathematics  hansrosling  history  influence  power  understanding  patternrecognition  from delicious
january 2011 by robertogreco
How Design Can Get Kids On the Path to Tech Careers | Co.Design
"whenever you say the word 'school,' it conjures up mental images & models of our experiences and behavior in a place -- & accompanying that 'place model' is a kaleidoscope of memories & emotions about how that place looked & worked -- how we felt in it, what was rewarded, celebrated & expected, & who we were supposed to be as learners in that place. Unfortunately, many of these mental models of how we should learn in school are completely at odds w/ how real learning happens & how it's demonstrated in the real world. False proxies for learning often erode our children's vibrant intellectual & creative potentials because they diminish the excitement of real learning & discovery. Everyone knows that finishing a course and a textbook does not mean achievement. Listening to a lecture does not mean understanding. Getting a high score on a high-stakes standardized test does not mean proficiency. Credentialing does not mean competency. Our children know it, too, yet it persists."
education  design  management  designthinking  learning  unschooling  discovery  deschooling  trungle  stephaniepacemarshall  imsa  illinois  chicago  science  math  gifted  talented  schools  schooldesign  credentials  credentialing  whatmatters  cv  ap  collaboration  teaching  challenge  interaction  interdisciplinary  multidisciplinary  crossdisciplinary  problemsolving  criticalthinking  teacherasmasterlearner  teacherascollaborator  inquiry  inquiry-basedlearning  studentdirected  research  names  naming  language  words  from delicious
december 2010 by robertogreco
Why the other lines always seem to move faster than yours
"Erlang found out how many telephone lines the company needed, given the average number of calls per hour. Similarly, you can figure out how many checkout lines you need, given the average number of customers. It turns out the best arrangement is to have a single line, and the next customer goes to the next available register. There's less chance of blockage from a single delay.<br />
But people don't like doing that apparently, and so assuming random selection, ending up in the slow line comes down to simple probability.<br />
<br />
Another way to think about this problem is in terms of time. You wait when you're in a slow line. You move when you're in a fast line. So the longer amounts of time spent waiting feel more significant (even though it might be a single pick) than when you made the fast picks."
psychology  shopping  theory  mathematics  queues  queingtheory  perception  math  from delicious
december 2010 by robertogreco
The 7 Fascinating Education Ideas of the Year - voiceofsandiego.org: Schooled: The Education Blog
"Solving Einstein's Algebra Problem [Einstein Academy], Letting the Kids Make the Rules [Innovations Academy], English Learners Who Seem to Know English [Pacific Beach Middle School], Small (Change) Is Beautiful [Euclid Elementary], The Data War [SDUSD in opposition to RttT], Wording Up Without the Dictionary [Grant Barrett, SDUSD], One Class Fits All [Correia Middle School in Point Loma drops tracking]"
sandiego  2010  emilyalpert  einsteinacademy  innovationsacademy  algebra  math  teaching  learning  sdusd  language  languageacquisition  change  euclidelementary  data  rttt  vocabulary  tracking  democracy  democratic  schools  biliteracy  assessment  collaboration  teacherretention  from delicious
december 2010 by robertogreco
What Math?
"Mathematics is not about answers, it's about processes. Let me give a series of parables to try to get to the root of the misconceptions and to try to illuminate what mathematics IS all about. None of these analogies is perfect, but all provide insight."
math  education  mathematics  science  learning  understanding  cargocult  teaching  tcsnmy  unschooling  deschooling  training  pedagogy  via:rushtheiceberg  from delicious
december 2010 by robertogreco
Simpson's paradox - Wikipedia
"In probability and statistics, Simpson's paradox (or the Yule-Simpson effect) is an apparent paradox in which a correlation (trend) present in different groups is reversed when the groups are combined. This result is often encountered in social-science and medical-science statistics,[1] and it occurs when frequency data are hastily given causal interpretations.[2] Simpson's Paradox disappears when causal relations are brought into consideration (see Implications to Decision Making)."
statistics  math  paradox  mathematics  simpson'sparadox  from delicious
december 2010 by robertogreco
Simpson's paradox - Wikipedia
"In probability and statistics, Simpson's paradox (or the Yule-Simpson effect) is an apparent paradox in which a correlation (trend) present in different groups is reversed when the groups are combined. This result is often encountered in social-science and medical-science statistics,[1] and it occurs when frequency data are hastily given causal interpretations.[2] Simpson's Paradox disappears when causal relations are brought into consideration (see Implications to Decision Making)."
statistics  math  paradox  mathematics  simpson'sparadox 
december 2010 by robertogreco
The Good Show - Radiolab
"In this episode, a question that haunted Charles Darwin: if natural selection boils down to survival of the fittest, how do you explain why one creature might stick its neck out for another?<br />
<br />
The standard view of evolution is that living things are shaped by cold-hearted competition. And there is no doubt that today's plants and animals carry the genetic legacy of ancestors who fought fiercely to survive and reproduce. But in this hour, we wonder whether there might also be a logic behind sharing, niceness, kindness ... or even, self-sacrifice. Is altruism an aberration, or just an elaborate guise for sneaky self-interest? Do we really live in a selfish, dog-eat-dog world? Or has evolution carved out a hidden code that rewards genuine cooperation?" [Related: http://www.nytimes.com/2010/07/11/books/review/deWaal-t.html?pagewanted=all ]
radiolab  good  altruism  genetics  instinct  generosity  evolution  georgeprice  heroism  heroes  gametheory  math  selfishness  self-preservation  human  cooperation  niceness  kindness  survival  reproduction  darwin  from delicious
december 2010 by robertogreco
Borderland › Rothstein on Accountability in Schools
"Approximately 30 well-spent minutes with Richard Rothstein, who patiently spells out what is happening as a consequence of using narrow measures of accountability for schools vs. what really needs to happen."
richardrothstein  policy  accountability  measurement  teaching  learning  schools  us  2010  obesity  children  afterschoolprograms  fitness  poverty  standardizedtesting  extendeddayprograms  health  achievementgap  dougnoon  math  mathematics  reading  crisis  achievement  media  politics  fear  education  ideology  medicaid  parenting  earlychildhood  teacherquality  economics  unemployment  race  wealth  language  from delicious
december 2010 by robertogreco
A Physicist Turns the City Into an Equation - NYTimes.com ["According to data, when a city doubles in size, every measure of economic activity increases by approximately 15% per capita.]
One quote“A human being at rest runs on 90 watts,” he says. “That’s how much power you need just to lie down. And if you’re a hunter-gatherer and you live in the Amazon, you’ll need about 250 watts. That’s how much energy it takes to run about and find food. So how much energy does our lifestyle [in America] require? Well, when you add up all our calories and then you add up the energy needed to run the computer and the air-conditioner, you get an incredibly large number, somewhere around 11,000 watts. Now you can ask yourself: What kind of animal requires 11,000 watts to live? And what you find is that we have created a lifestyle where we need more watts than a blue whale. We require more energy than the biggest animal that has ever existed. That is why our lifestyle is unsustainable. We can’t have seven billion blue whales on this planet. It’s not even clear that we can afford to have 300 million blue whales.” 
urban  urbanism  geoffreywest  cities  corporations  growth  physics  modeling  models  energy  density  efficience  freedom  remkoolhaas  planning  policy  economics  self-control  short-termmemory  memory  architecture  design  urbantheory  urbanscience  theory  science  data  census  walking  transportation  patternrecognition  patterns  math  mathematics  infrastructure  jonahlehrer  organic  organisms  consumption  metabolism  sustainability  interaction  janejacobs  collaboration  crosspollination  robertmoses  efficiency  from delicious
december 2010 by robertogreco
Rule 30 - Wikipedia
"Rule 30 is a one-dimensional binary cellular automaton rule introduced by Stephen Wolfram in 1983. Wolfram describes it as being his "all-time favourite rule" and details it in his book, A New Kind of Science. Using Wolfram's classification scheme, Rule 30 is a Class III rule, displaying aperiodic, chaotic behaviour.<br />
<br />
This rule is of particular interest because it produces complex, seemingly-random patterns from simple, well-defined rules. Because of this, Wolfram believes that rule 30, and cellular automata in general, are the key to understanding how simple rules produce complex structures and behaviour in nature."
math  science  wikipedia  chaostheory  stephenwolphram  mathematics  complexity  rule30  via:britta  patterns  rules  cellularautomata  behavior  nature  beauty  code  chaos  from delicious
december 2010 by robertogreco
Education Week: Is There an Algebra Overkill?
"No doubt, algebra is a steppingstone to higher mathematics and quite necessary in professions that require extensive knowledge of math. Too, it offers insights not only into numbers, but also into general problem-solving separately. It is also reasonable for most students to have some experience with it before they leave school.<br />
<br />
The difficulty, however, is assuming that algebra, in itself, will greatly increase everyone's ability to do the kind of mathematics that most people do in ordinary life."
math  education  algebra  teaching  schools  curriculum  from delicious
november 2010 by robertogreco
SpeEdChange: Of time and technology...
"So when I sat in an elementary school last week and saw a lesson on time and quarter hours I wondered why we were still doing that - other than, in this case, mandates from the Commonwealth of Virginia? So I asked teachers sitting near me, and only one in five still tended to use those old terms.<br />
<br />
There is a lovely antiquity, I suppose, in the nature of that circular clock. But it encourages imprecion and confusion, and barely is used anymore in a functional way.<br />
<br />
So why are we teaching it?"
time  language  math  teaching  antiquity  tradition  irasocol  timekeeping  from delicious
november 2010 by robertogreco
How Einstein Started Solving Its Math Problem - voiceofsandiego.org: Schooled: The Education Blog
"The math scores at Einstein Academy didn't add up. Kids aced math in the younger grades at the South Park school, a respected charter with enviable test scores.<br />
<br />
Yet when they hit algebra, their scores plummeted. Three years ago, just 9 percent of eighth graders in its sister middle school were proficient in algebra on state tests — even kids who seemed to be math whizzes before.<br />
<br />
Instead of jumping on algebra and assuming that something was amiss in eighth grade, Einstein stepped back and examined its whole math curriculum from kindergarten up.<br />
<br />
What it found was surprising. The problem started much earlier than eighth grade, back when kids were acing math. Einstein's students were developing too many shortcuts and not enough understanding. While that had worked in the short term, it ultimately shortchanged kids."
math  mathematics  teaching  schools  rote  tcsnmy  sandiego  einsteinacademy  from delicious
november 2010 by robertogreco
Mathematics (song) - Wikipedia
""Mathematics" is a b-side single from Mos Def's solo debut album, Black on Both Sides. It contains lyrics about various social issues and asks the listener to add them up and come to conclusions about them. Many references to numbers are found in this song and at times, Mos Def rhymes statistics in numerical order. The song is produced by DJ Premier whose famous scratch samples make up the song's bridge. Premier has called it one of his favorite beats."
mosdef  math  mathematics  hiphop  music  rap  1999  songs  from delicious
november 2010 by robertogreco
Cities - Radiolab
"In this hour of Radiolab, we take to the street to ask what makes cities tick.<br />
<br />
There's no scientific metric for measuring a city's personality. But step out on the sidewalk, and you can see and feel it. Two physicists explain one tidy mathematical formula that they believe holds the key to what drives a city. Yet math can't explain most of the human-scale details that make urban life unique. So we head out in search of what the numbers miss, and meet a reluctant city dweller, a man who's walked 700 feet below Manhattan, and a once-thriving community that's slipping away."
cities  radiolab  2010  math  physics  nyc  collapse  urban  urbanism  jonahlehrer  size  footfall  comparison  statistics  data  measurement  tolisten  from delicious
november 2010 by robertogreco
Google: Exploring Computational Thinking [See also: http://googleresearch.blogspot.com/2010/10/exploring-computational-thinking.html]
"Easily incorporate computational thinking into your curriculum with these classroom-ready lessons, examples, and programs. For more resources, including discussion forums and news, visit our ECT Discussion Forums."
computerscience  computationalthinking  via:lukeneff  algebra  biology  calculus  compsci  geometry  python  programming  math  lessons  teaching  thinking  edtech  education  elearning  danmeyer  google  science  learning  glvo  edg  srg  from delicious
november 2010 by robertogreco
Karl Fisch: Do you Believe in Algebra? (VIDEO)
"But it still begs the question of whether all students need these 118 standards. For example, do you believe that all students (scratch, that, all people) need to know that "there is a complex number i such that i2 = -1, and every complex number has the form a + bi with a and b real?" (CCSS, N-CN 1). Or how about "prove the Pythagorean identity sin2(x) + cos2(x) = 1 and use it to find sin(x), cos (x), or tan(x) and the quadrant of the angle?" (CCSS, F-TF 8).<br />
<br />
(My not-so-modest proposal is that no state legislature is allowed to require standards that they couldn't demonstrate proficiency on themselves. Since they are clearly successful adults and they are saying that these standards are necessary for all students to be successful, surely they'd be able to demonstrate proficiency by taking the same tests our students do. But I digress.)"
karlfisch  math  algebra  curriculum  education  teaching  learning  schools  deschooling  unschooling  policy  standardization  deanshareski  standards  from delicious
october 2010 by robertogreco
Autism and HIV: when maths can be misleading - Telegraph
"Moreover, the number of people involved was small: 20 with autism, 20 without. With that small a group, it’s hard to tell whether any association that shows up is meaningful. You can train a computer using photos of the family cat, and it will calculate whichever combination of size, colour, and whisker length best detects autism in its owner. There are so many potential combinations that in all likelihood one of them will appear to perform pretty well. But try it on another bunch of people, and the odds are it will fail."
hiv  autism  statistics  math  mathematics  research  falsenegatives  accuracy  numbers  from delicious
october 2010 by robertogreco
NOVA | A Radical Mind [Interview with Benoit Mandelbrot via: http://preoccupations.tumblr.com/post/1334513534/benoit-mandelbrot-1924-2010-nova-a-radical]
"You’ve been interested in the revolution in thinking that took place during Renaissance. I love the term “natural philosophy”…<br />
<br />
It is lovely indeed. Too bad it hasn’t been used since 18th century.<br />
<br />
What does that term mean to you?<br />
<br />
Before Galileo, philosopher was somebody who studied great books. Many of those people were extraordinarily brilliant, but their absolute obedience to books was destructive. What Galileo did was to say natural philosophy is written in the Great Book of Nature & one must move from reading books in library to reading books around us—that is, use experimental method & believe in power of the eye. That was the big thing. Newton was called a natural philosopher. & in 18th century, professions of mathematics & physics were not deeply distinguished, but now they are.<br />
I’m certainly a philosopher entranced with unifying ideas. However, I don’t only study books; I study nature. Also art of the past, for purpose of finding artifacts that I could embrace."
benoitmandelbrot  math  philosophy  nature  thinking  renaissance  books  observation  scientificmethod  galileo  noticing  naturalphilosophy  interviews  mathematics  science  fractals  from delicious
october 2010 by robertogreco
Matt Webb – What comes after mobile « Mobile Monday Amsterdam
"Matt Webb talks about how slightly smart things have invaded our lives over the past years. People have been talking about artificial intelligence for years but the promise has never really come through. Matt shows how the AI promise has transformed and now seems to be coming to us in the form of simple toys instead of complex machines. But this talks is about much more then AI, Matt also introduces chatty interfaces & hard math for trivial things." [via: http://preoccupations.tumblr.com/post/1157711285/what-comes-after-mobile-matt-webb ]
mattwebb  berg  berglondon  future  mobile  technology  ai  design  productinvention  invention  spacebinding  timebinding  energybinding  spimes  internetofthings  anybot  ubicomp  glowcaps  geography  context  privacy  glanceableuse  cloud  embedded  chernofffaces  understanding  math  mathematics  augmentedreality  redlaser  neuralnetworks  mechanicalturk  shownar  toys  lanyrd  from delicious
september 2010 by robertogreco
Without Geometry, Life is Pointless: Habits of Mind [via: http://twitter.com/ddmeyer/status/22986117389]
"This is still a work in progress (and feedback would be greatly appreciated), but I've decided to explicitly teach (and assess...more on that later) 4 "categories" of mathematics this year.<br />
<br />
1. Skills (I know how to...)<br />
2. Concepts (I understand and can explain why...)<br />
3. Connections (I see and can explain the relationship between...)<br />
4. Mathematical Habits of Mind (I can use and appreciate the process of...)"
math  mathematics  teaching  habitsofmind  assessment  from delicious
september 2010 by robertogreco
Illuminations: Dynamic Paper
"Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? Or a set of pattern blocks where all shapes have one-inch sides? You can create all those things and more with the Dynamic Paper tool. Place the images you want, then export it as a PDF activity sheet for your students or as a JPEG image for use in other applications or on the web."
dynamicpaper  graphs  generator  geometry  mathematics  math  free  interactive  worksheets  graphing  from delicious
september 2010 by robertogreco
Nervous System
"Nervous System creates experimental jewelry, combining nontraditional materials like silicone rubber and stainless steel with rapid prototyping methods. We find inspiration in complex patterns generated by computation and nature."
accessories  handmade  rapidprototyping  processing  patterns  design  computation  generative  fabrication  math  wearable  jewelery  shopping  nervoussystem  glvo  complexity  nature  biomimicry  coding  biomimetics  from delicious
september 2010 by robertogreco
Fisch Algebra 2010-11: Skill List
"These are the skills that are important enough to assess individually. Some skills will include sub-skills that aren’t assessed individually. This is not necessarily the order the skills will be assessed in." [More at: http://fischalgebra1011.blogspot.com/p/course-expectations.html]
algebra  math  assessment  conceptchecklists  mathematics  teaching  from delicious
august 2010 by robertogreco
YouTube - Metamorphosis of the Cube
"The Metamorphosis of the Cube is a video envisioned and created by Erik Demaine, Martin Demaine, Anna Lubiw, Joseph O'Rourke, and Irena Pashchenko. It appears in a refereed video collection, the 8th Annual Video Review of Computational Geometry, associated with the 15th Annual ACM Symposium on Computational Geometry (SoCG'99)"
geometry  math  mathematics  cubes  transformation  folding  from delicious
august 2010 by robertogreco
Punk Mathematics by Tom Henderson — Kickstarter
"Punk Mathematics will be a series of mathematical stories. It is written for readers who are interested in having their minds expanded by the strange metaphors and implications of mathematics, even if they're not always on friendly terms with equations. Better living through probability; the fractal dimension of cities and cancers; using orders of magnitude to detect bullshit; free will and quantum economics; and the mathematics of cooperation in a networked world on the brink of a No Future collapse."
math  mathematics  philosophy  learning  funding  kickstarter  books  tomhenderson  punk  from delicious
august 2010 by robertogreco
SpeEdChange: Reading is NOT the goal
""Reading is defined as getting information from a recorded source into your head, Writing is defined as getting information from your head into a form which others can access." And to which I might have added, "Arithmetic is defined as having a common system for sharing quantifiable data.""

"reason US standardized test results collapse after 4th grade...tests simply ask kids to regurgitate processes we've been banging into them for first 4 years of school. They do that well enough. But the processes really don't connect to most on functional level, so when they take later content-driven evaluation tests, they fail, because they are not accessing content...only know how to "read" to "read." I see this all the time, quick, "fluent" readers who have no idea what they've just read, or why. Kids who form letters perfectly but who can't express themselves. Kids w/ memorized math facts but no ability to leap into algebra or beyond...
irasocol  learning  education  alternative  math  mathematics  memorization  understanding  schools  schooling  unschooling  deschooling  text  ebooks  audiobooks  literacy  reading  writing 
august 2010 by robertogreco
Happy Ending problem - Wikipedia, the free encyclopedia [via: http://mrgan.tumblr.com/post/850661958/]
"The Happy Ending problem (so named by Paul Erdős because it led to the marriage of George Szekeres and Esther Klein) is the following statement:
math  mathematics  polygons  paulerdos  geometry 
july 2010 by robertogreco
dy/dan » Blog Archive » What Can You Do With This: Yellow Lights
"So I'm thinking about an ongoing classroom project, something that includes a wall map of the county, push-pins marking off claimed intersections, students collecting data with stopwatches or cameras, developing (what seems to them) a fair algorithm for the duration of yellow lights, then researching the county code to determine the actual algorithm, finally marching down to city hall to call the mayor on the carpet (if need be) for his reckless disregard for public safety in pursuit of a little extra revenue."
danmeyer  civics  government  math  tcsnmy  classideas 
july 2010 by robertogreco
Knotebooks - Anyone can contribute. Everyone can learn.
"Knotebooks is a supplementary education platform that enables students, teachers and self-learners to effortlessly create and collaborate on customized multimedia physics lessons."
collaboration  physics  science  education  free  learning  multimedia  math  opensource  pedagogy  tcsnmy 
july 2010 by robertogreco
…My heart’s in Accra » TEDGlobal: Sugata Mitra, beyond Hole in the Wall
"experiment in Hyderabad asked children who spoke English with a strong Telugu accent to use a voice recognition system on a computer. 2 months later, their accents had changed & were closer to the neutral British accent of the speech synthesizer.
sugatamitra  holeinthewall  outdoctrination  learning  education  unschooling  deschooling  turin  torino  testing  self-organizedlearningenvironment  self-organizedlearning  autodidacts  colaboration  cheating  sharing  motivation  2010  pln  teaching  technology  ted  ict  edtech  biotech  math  google  ethanzuckerman  self-organisedlearningenvironment 
july 2010 by robertogreco
How US Public School almost killed an Entreprenuer | The Do Village ["10 things that were constantly reinforced during my 12 years of public school in America that had to be unlearned as an adult desiring to be an entrepreneur."]
"10 things that were constantly reinforced during my 12 years of public school in America that had to be unlearned as an adult desiring to be an entrepreneur.

1. Fit in instead of be original

2. Follow the rules instead of questioning why they exist

3. Helping others is cheating despite the fact that everything you do as a successful adult is a team effort

4. Have good handwriting instead of teaching me to type

5. Do it because the teacher said so, instead of teaching me to understand why doing it is important

6. Don’t challenge authority instead of teaching me that I deserve respect too

7. Get good grades in all my classes, even though I will never do trigonometry ever in life. (Sine these nuts. lol)

8. Don’t fail instead of teaching me to value trial and error

9. Debating and arguing with friends is a bad thing, instead of encouraging independent thought and self confidence

10. Be a generalist and learn things I hate, instead of developing my genius at things that i like.

More Dumbshit that I still dont understand.

*Getting to school late will be punished by making you stay home for 3 days…WTF

*Memorize stuff that now can be looked up on Google.

*Learn to do calculus by hand, despite being required to purchase a $200 calculator.

*Appearing smart is more important than being effective…. REALLY?

These are all that I can think of now. Feel free to add dumbshit you learned in the comments section.:
education  tcsnmy  rules  handwriting  typing  cheating  collaboration  helping  respect  authority  schools  schooliness  backwards  confidence  self-confidence  arguing  debate  generalists  specialists  doing  making  do  via:cervus  lcproject  unschooling  deschooling  teaching  learning  entrepreneurship  unlearning  rote  math  mathematics  trialanderror  failure  risk  risktaking  toshare  topost  manifesto 
july 2010 by robertogreco
BigThink videos: Penn Jillette and Dan Ariely - Boing Boing
"A couple of great videos from BigThink. First, Penn Jillette on how reading the great religious texts will make you into an atheist, the future of magic, and how he and Teller work together."

[Videos are at: http://bigthink.com/pennjillette AND http://bigthink.com/danariely ]
behavior  rationality  religion  pennjillette  skepticism  atheism  irrationality  primarysources  criticalthinking  magic  pennandteller  performance  business  partnerships  ikeaeffecy  ikea  onlinedating  math  politics  tolerance  respect  morality  right  wrong  glenbeck  abbiehoffman  libertarianism  honesty  humility  tcsnmy  classideas  civics  policy  humanity  context  media  perspective  evil  good  wisdom  disagreement  debate  philosophy  drugs  alcohol  modeling 
july 2010 by robertogreco
Redesigning Education: Building Schools for Science, Technology, Engineering, and Math | Co.
"Now is the time to reflect on the reasons for students' disengagement from science and technology subjects. We need to treat STEM as a pedagogical approach and design an environment to support this new way of teaching. Brian Greene, a best-selling author and theoretical physicist best known for his work in string theory, talks passionately about how we have educated the curiosity out of the math and sciences. Greene says that we have paralyzed our children with the fear of being wrong. Risk-taking and making mistakes are critical to the scientific process. This fear of being wrong has resulted in disengagement from science and mathematics: learning science and math is a drag! He makes a convincing assessment of the problems with our current science education system and stops just short of demanding a new pedagogy to bring excitement and relevance back to the learning of science and math."

[from a series: http://www.fastcodesign.com/users/tle ]
trungle  stem  science  education  math  mathematics  learning  schools  teaching  exploration  experientiallearning  handsonlearning  inquiry  tcsnmy  thirdteacher  inquiry-basedlearning  briangreene  reggioemilia 
july 2010 by robertogreco
Eide Neurolearning Blog: Why Math is Hard - Implications of Developmental fMRI Changes in Arithmetic
"many of these cognitive systems don't come on online until later in childhood, & sometimes not fully into early 20's. Some implications for educational programming are obvious—are some educational expectations developmentally appropriate? Are teachers sensitive to individual differences in neurodevelopment & can they modify educational expectations appropriately? ...developmental truth seems to be that brain processes important for math problem solving take time to develop:...
dyslexia  tcsnmy  development  learning  gradelevels  timing  rote  traditionalschools  math  mathematics  cgimath  developmentallyappropriate  patience  differentiation 
july 2010 by robertogreco
The calculus of friendship: what a teacher and a student learned about life while corresponding about math ... - Google Books
"The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change..." [via: not sure]
books  teaching  math  friendship  mathematics  calculus 
july 2010 by robertogreco
Chris Heathcote: anti-mega: griotism
"So employing an internal data griot makes a lot of sense: someone who can spend the time looking for both large trends and individual needs and uses that illuminate and portend. It’s a hard job, needing a mix of skills rarely found – a smidgen of hard maths and statistics, a pinch of programming, and dessert spoons of various liberal arts. The Economist (sub required) posits them as data scientists (a position Flickr are currently looking for), but this misses the ability to ask interesting questions, and having hunches – being so immersed in the data that relevancy screams out."
chrisheathcote  last.fm  data  griot  processing  python  stories  visualization  web  storytelling  interdisciplinary  hunches  questioning  math  mathematics  relevance  patternrecognition  patterns  newliberalarts  programming  statistics  trends  griotism  datagriots 
july 2010 by robertogreco
What's Special About This Number?
"primes graphs digits sums of powers bases combinatorics powers/polygonal Fibonacci
mathematics  math  numbers  reference  numberfacts 
july 2010 by robertogreco
Lecture Method vs. Peer Instruction « Zero-Knowledge Proofs
"# Students who have recently learned something are better at explaining it to other students than teacher who learned & mastered it years ago. It is difficult for a teacher who has mastery of a concept to be aware of conceptual difficulties of beginning learner.
wcydwt  teaching  education  depthoverbreadth  via:lukeneff  lectures  peerinstruction  tcsnmy  doing  conceptualunderstanding  understanding  math  physics  learning  information  problemsolving  criticalthinking 
june 2010 by robertogreco
The Man Who Could Unsnarl Manhattan Traffic | Magazine
"Kheel hoped that Komanoff’s work would support a plan to offer completely free public transit. But Komanoff found that the system would still be overloaded at rush hour. Drivers had to be encouraged to travel at different times of the day. So he devised a new plan, one that charged both drivers and transit riders different rates at different times. ... Buses are always free, because the time saved when passengers aren’t fumbling for change more than makes up for the lost fare revenue. ...
architecture  cities  cars  manhattan  nyc  statistics  traffic  transit  transport  economics  data  transportation  excel  energy  complexity  subways  math  urban  taxis  buses  chaleskomanoff 
may 2010 by robertogreco
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