The Wonderful, Wooden Marble Adding Machine

Cana­di­an soft­ware devel­op­er Matthias Wan­del enjoys spend­ing his spare time cre­at­ing wood­en con­trap­tions that com­bine a child­like sense of won­der with an engi­neer’s knowl­edge of mechan­ics. One of his most pop­u­lar cre­ations so far is this six-bit bina­ry adding machine, which has tal­lied near­ly one and a half mil­lion views on YouTube. As Rick Regan explains at Explor­ing Bina­ry, the machine func­tions like a low-tech inte­grat­ed cir­cuit. “It uses wood instead of sil­i­con, grav­i­ty instead of volt­age, and mar­bles instead of cur­rent,” he writes. “We don’t need no stinkin’ CMOS!”

The idea came to Wan­del after he noticed that one of his ear­li­er mar­ble machines incor­po­rat­ed log­ic-like ele­ments. “It had occurred to me,” he writes on his wood­work­ing site, “that per­haps with an insane amount of per­se­ver­ance, it might be pos­si­ble to build a whole com­put­er that runs on mar­bles.”  To illus­trate the point Wan­del built the adding machine, which stores the bina­ry states of six bits and can add num­bers from one to 63. The result may be more cool than prac­ti­cal, writes Regan, “but it cer­tain­ly is edu­ca­tion­al. It illus­trates basic prin­ci­ples of bina­ry num­bers, bina­ry arith­metic, and bina­ry log­ic.”

You can learn more about the machine on Wan­del’s Web page, and about the under­ly­ing log­ic and math­e­mat­ics at Explor­ing Bina­ry.

If you would like to sign up for Open Culture’s free email newslet­ter, please find it here. It’s a great way to see our new posts, all bun­dled in one email, each day.

If you would like to sup­port the mis­sion of Open Cul­ture, con­sid­er mak­ing a dona­tion to our site. It’s hard to rely 100% on ads, and your con­tri­bu­tions will help us con­tin­ue pro­vid­ing the best free cul­tur­al and edu­ca­tion­al mate­ri­als to learn­ers every­where. You can con­tribute through Pay­Pal, Patre­on, and Ven­mo (@openculture). Thanks!

Calculus Lifesaver: A Free Online Course from Princeton

It’s rare that we get to cov­er math here. So here it goes: Adri­an Ban­ner, a lec­tur­er at Prince­ton, has put togeth­er a lec­ture series (in video) that will help you mas­ter cal­cu­lus, a sub­ject that has tra­di­tion­al­ly frus­trat­ed many stu­dents. The 24 lec­tures (find them on Vimeo) were orig­i­nal­ly pre­sent­ed as review ses­sions for Prince­ton intro­duc­to­ry cal­cu­lus cours­es offered in 2006, and each ses­sion runs about two hours. It’s worth not­ing that Ban­ner has used the lec­tures to devel­op a handy book, The Cal­cu­lus Life­saver: All the Tools You Need to Excel at Cal­cu­lus. To find this course (and many oth­ers like it), look in the Math sec­tion of our col­lec­tion of 1500 Free Online Cours­es. Here you will also find Cal­cu­lus Revis­it­ed: Sin­gle Vari­able Cal­cu­lus, a vin­tage intro­duc­to­ry course filmed by MIT in 1970. Con­sid­er it a clas­sic…

Relat­ed Con­tent:

Math Mag­ic

Mul­ti­pli­ca­tion: The Vedic Way

Teach­ing Math with Doo­dling

Miss USA 2011: Should Schools Teach Evo­lu­tion? … or Math?

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Animations of 6 Famous Thought Experiments

The Open Uni­ver­si­ty strikes again. In June, they released The His­to­ry of Eng­lish, a series of wit­ty ani­mat­ed videos that cov­ered 1600 years of lin­guis­tic his­to­ry in ten min­utes. Now, they’re back with 60-Sec­ond Adven­tures in Thought, anoth­er ani­mat­ed sequence that high­lights six famous thought exper­i­ments. It all starts with Zeno’s ancient Para­dox of the Tor­toise and Achilles. (Watch above.) Then we head straight to the 20th cen­tu­ry, to five famous thought exper­i­ments in physics, math and com­put­er sci­ence.

The Grand­fa­ther Para­dox (time trav­el)

Chi­nese Room (arti­fi­cial intel­li­gence)

Hilbert’s Infi­nite Hotel (the con­cept of infin­i­ty)

The Twin Para­dox (spe­cial rel­a­tiv­i­ty)

Schrödinger’s Cat (quan­tum mechan­ics)

You can watch the full series on YouTube and iTunes.

Math Doodling

Doo­dling — it’s usu­al­ly a sign of bore­dom, an escape from tedi­um. Vi Hart turns it all upside down, and shows how doo­dling can be an engag­ing form of ped­a­gogy. On her web site, you will find oth­er math doo­dling videos called StarsSnakes + GraphsBina­ry TreesSick Num­ber Games and Squig­gle Incep­tion. The video above is called Infin­i­ty Ele­phants. Thanks Kim for send­ing this our way.…

Relat­ed Con­tent:

Mul­ti­pli­ca­tion: The Vedic Way

The Math Guy Radio Archive

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The Math Guy Radio Archive

Image by Richard Ress­man, via Wiki­me­dia Com­mons

Start­ing back in 1995, Kei­th Devlin, a Stan­ford math pro­fes­sor and pop­u­lar sci­ence writer, began mak­ing appear­ance’s on NPR’s Week­end Edi­tion Sat­ur­day, where he demys­ti­fies math ques­tions, both large and small, that have a bear­ing on our every­day lives. Years lat­er “The Math Guy,” as he’s oth­er­wise called, has built up a com­plete sound archive of his radio appear­ances, which fea­tures 78 episodes record­ed between 1995 and 2001. Here are a few fine exam­ples:

  • June 4, 2011 Any Way You Stack It, $14.3 Tril­lion Is A Mind-Ben­der. How can we com­pre­hend the size of the cur­rent US nation­al debt?
  • Octo­ber 23, 2010. Check­ing The Math Behind The Green­house Effect.
  • June 5, 2010. Run­ning the Num­bers for the World Cup.
  • July 4, 2009. Top 10 Rea­sons Why the BMI is Bogus.
  • April 4, 2009. Anoth­er Father of the Hydro­gen Bomb. The 100th anniver­sary of the birth of the math­e­mati­cian Stanis­law Ulam.
  • Feb­ru­ary 28, 2009. What do we need alge­bra for?
  • Decem­ber 27, 2008. ‘Hard Day’s Night’: A Math­e­mat­i­cal Mys­tery Tour. Math­e­mat­i­cal analy­sis of the open­ing chord and oth­er Bea­t­les music.

Again, you can access the com­plete archive here.

H/T @Stanford

Relat­ed Con­tent:

The Map of Math­e­mat­ics: An Ani­mat­ed Video Shows How All the Dif­fer­ent Fields in Math Fit Togeth­er

Vin­tage MIT Cal­cu­lus Lessons

Futur­ist Arthur C. Clarke on Mandelbrot’s Frac­tals

 

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Alan Davies: How Long is a Piece of String?

Yes­ter­day’s lack­lus­ter Acad­e­my Awards cer­e­mo­ny may have afford­ed you some unex­pect­ed time for con­tem­plat­ing life’s more urgent ques­tions, such as the one British come­di­an Alan Davies pur­sues above:  How long is a piece of string? Watch Davies, who is also a fre­quent pan­elist on the pop­u­lar Stephen Fry-host­ed quiz show Quite Inter­est­ing, explore the rid­dle’s philo­soph­i­cal impli­ca­tions and inevitable con­nec­tion to string the­o­ry with the help of physics, quan­tum mechan­ics, and final­ly a vis­it with math­e­mati­cian Mar­cus de Sautoy. Fans of the Davies/du Sautoy inter­ac­tion may also want to check out Du Sautoy’s TED talk on Sym­me­try, as well as the debates in that video’s com­ments sec­tion. More docs can be found in our col­lec­tion of 200+ Free Doc­u­men­taries, part of our larg­er col­lec­tion, 4,000+ Free Movies Online: Great Clas­sics, Indies, Noir, West­erns, Doc­u­men­taries & More.

MIT’s Vintage 1970 Calculus Courses Now Online … And Still Handy

Long ago, long before MIT hatched plans for its Open­Course­Ware ini­tia­tive and lat­er edX, the uni­ver­si­ty taped a lec­ture series cov­er­ing the equiv­a­lent of a fresh­man-lev­el cal­cu­lus course. Released in 1970, the intro­duc­to­ry class taught by Her­bert Gross was suit­ed for any stu­dent brush­ing up on his/her cal­cu­lus, or learn­ing the sub­ject for the first time. MIT has now revived the lec­ture series, called “Cal­cu­lus Revis­it­ed: Sin­gle Vari­able Cal­cu­lus,” along with two more advanced cours­es. Although times have changed, cal­cu­lus remains the same. And you’ll still find the series to be quite handy.

  • Cal­cu­lus Revis­it­ed: Sin­gle Vari­able Cal­cu­lus (1970) – YouTube — iTunes Video – Web Site
  • Cal­cu­lus Revis­it­ed: Mul­ti­vari­able Cal­cu­lus (1970) – YouTube – iTunes Video – Web
  • Cal­cu­lus Revis­it­ed: Com­plex Vari­ables, Dif­fer­en­tial Equa­tions, and Lin­ear Alge­bra (1972) — YouTube — iTunes Video — Web

The cours­es are also list­ed in the Math sec­tion of our Free Online Course col­lec­tion (where you’ll find many oth­er calc cours­es)…

Relat­ed Con­tent:

Free: Richard Feynman’s Physics Lec­tures from Cor­nell (1964)

Cal­cu­lus Life­saver: A Free Online Course from Prince­ton

MIT Intro­duces Com­plete Cours­es to Open­Course­Ware Project

The Joy of Stats: Hans Rosling’s Rollercoaster Ride Through the Wonderful World of Statistics

Last month, we post­ed a daz­zling clip – Hans Rosling trac­ing health trends with­in 200 coun­tries over 200 years, using 120,000 data points, all in 4 min­utes. Pret­ty quick­ly you saw why Rosling has earned a rep­u­ta­tion for pre­sent­ing data in extreme­ly imag­i­na­tive ways. The video was an out­take from a BBC doc­u­men­tary called “The Joy of Stats,” which is now ful­ly avail­able online. It runs 59 min­utes and takes you on a “roller­coast­er ride through the won­der­ful world of sta­tis­tics.” When it’s all over, you’ll nev­er doubt that stats can change how you under­stand our world.

The Joy of Stats will be added to our col­lec­tion of Free Doc­u­men­taries Online, a sub­set of our col­lec­tion, 4,000+ Free Movies Online: Great Clas­sics, Indies, Noir, West­erns, Doc­u­men­taries & More.

If you would like to sign up for Open Culture’s free email newslet­ter, please find it here. It’s a great way to see our new posts, all bun­dled in one email, each day.

If you would like to sup­port the mis­sion of Open Cul­ture, con­sid­er mak­ing a dona­tion to our site. It’s hard to rely 100% on ads, and your con­tri­bu­tions will help us con­tin­ue pro­vid­ing the best free cul­tur­al and edu­ca­tion­al mate­ri­als to learn­ers every­where. You can con­tribute through Pay­Pal, Patre­on, and Ven­mo (@openculture). Thanks!

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