Pinboard (robertogreco)
https://pinboard.in/u:robertogreco/public/
recent bookmarks from robertogrecoCan gratitude save humanity? - UnHerd2024-03-25T21:26:42+00:00
https://unherd.com/2023/01/can-gratitude-save-humanity/
robertogreco2023 matthewcrawford surfing gratitude transhumanism nature modernity thomasdezengotita attention life living resentment entitlement grievance psychology mentalhealth conservatism ideology politics suffering rationalism society confidence nietzsche gnosticism paulkingsnorth nslyons wildlife plants predation disease death maryharrington irismurdoch self humanwill will music technology math mathematics giambattistavico descartes johanhuizinga risks risktaking uncertainty homoludens play civilization mickeymouse donaldduck skills agency kellyslater ericvoegelin michaeloakeshotthttps://pinboard.in/https://pinboard.in/u:robertogreco/b:d3fc6175a508/Elastic knots behave in a really bizarre way - YouTube2024-03-25T19:21:46+00:00
https://www.youtube.com/watch?v=UsQihEXL0go
robertogrecoknots knottheory 2024 stevemould mathematics mathhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:8ecacb64a754/These shapes roll in peculiar ways thanks to new mathematics - YouTube2024-03-23T19:19:45+00:00
https://www.youtube.com/watch?v=2lW9HznqsVY
robertogrecoIn everyday life, rolling motion is typically associated with cylindrical (for example, car wheels) or spherical (for example, billiard balls) bodies tracing linear paths. However, mathematicians have, for decades, been interested in more exotically shaped solids such as the famous oloids, sphericons, polycons, platonicons and two-circle rollers that roll downhill in curvilinear paths (in contrast to cylinders or spheres) yet indefinitely (in contrast to cones, Supplementary Video 1). The trajectories traced by such bodies have been studied in detail, and can be useful in the context of efficient mixing and robotics, for example, in magnetically actuated, millimetre-sized sphericon-shaped robots, or larger sphericon- and oloid-shaped robots translocating by shifting their centre of mass. However, the rolling paths of these shapes are all sinusoid-like and their diversity ends there. Accordingly, we were intrigued whether a more general problem is solvable: given an infinite periodic trajectory, find the shape that would trace this trajectory when rolling down a slope. Here, we develop an algorithm to design such bodies—which we call ‘trajectoids’—and then validate these designs experimentally by three-dimensionally printing the computed shapes and tracking their rolling paths, including those that close onto themselves such that the body’s centre of mass moves intermittently uphill (Supplementary Video 2). Our study is motivated largely by fundamental curiosity, but the existence of trajectoids for most paths has unexpected implications for quantum and classical optics, as the dynamics of qubits, spins and light polarization can be exactly mapped to trajectoids and their paths."
[via:
https://aeon.co/videos/is-it-possible-to-design-a-shape-to-roll-along-any-fixed-path
"Is it possible to design a shape to roll along any fixed path?
In a study ‘motivated largely by fundamental curiosity’, a team of scientists in South Korea and Switzerland set out to see if they could design shapes to roll along any desired path on a flat surface. This entertaining video from Nature chronicles the team’s research, documenting how, using a combination of simple and sophisticated techniques – as well as a bit of tweaking once the 3D-printed objects got rolling – they were able to create shapes to travel along nearly any possible path. The result is a fascinating glimpse into what happens when the conditions of computation enter the real world, as well as how a bit of curiosity can have potentially significant consequences – in this case, in the realm of quantum and classical optics."]]>math mathematics topology physics quantumphysics 2023 classideas shapes science opticshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:f9b130636fec/A world from a sheet of paper - Tadashi Tokieda - YouTube2024-03-04T19:45:58+00:00
https://www.youtube.com/watch?v=8p02DtmyQhU
robertogrecotadashitokieda 2023 paper folding origimi math mathematicshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:2ce479847b4d/Mark Zuckerberg Got Lost in Terra Mathematica - Mathworlds | Dan Meyer | Substack2024-02-23T01:10:08+00:00
https://danmeyer.substack.com/p/mark-zuckerberg-got-lost-in-terra
robertogrecodanmeyer 2024 chanzuckerberginitiative education teaching howweteach math mathematics personalization edtech gatesfoundation pedagogy terramathematica money power relationships children schools influencehttps://pinboard.in/https://pinboard.in/u:robertogreco/b:0b897ef3e9c5/This Math Homework Is Driving Caregivers Crazy - Mathworlds | Dan Meyer | Substack2024-02-23T01:09:13+00:00
https://danmeyer.substack.com/p/this-math-homework-is-driving-caregivers
robertogrecodanmeyer 2024 math mathematics homework teaching howwteach parenting pr publicrelations newmathhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:a487e9964de9/When We Cease to Understand the World by Benjamín Labatut review – the dark side of science | Fiction | The Guardian2024-02-02T16:04:07+00:00
https://www.theguardian.com/books/2020/sep/10/when-we-cease-to-understand-the-world-by-benjamin-labatut-review-the-dark-side-of-science
robertogrecobenjamínlabatut 2020 johnbanville quantummechanics mathematics wittgenstein wernerheisenberg nielsbohr alberteinstein maryshelly alanturing fritzhaber physics hermanngöring blackholes alexandergrothendieck johannjacobdiesbach johannkonraddippel erwinschrödinger erwinschrodinger shinichimochizukihttps://pinboard.in/https://pinboard.in/u:robertogreco/b:f1c845584cbf/"Writing should give access to the world." | Writer Benjamín Labatut | Louisiana Channel - YouTube2024-02-01T02:44:40+00:00
https://www.youtube.com/watch?v=ohsQ3WtdWoM
robertogreco2022 benjamínlabatut writing literature fiction nonfiction science howwewrite research wonder fascination reality robertobolaño pascalquignard eliotweinberger williamburroughs wgsebald form uncertainty singularity magic nothingness void mystery blackholes uncertaintyprinciple art war quantummechanics awe survival understanding knowledge mysteries truth truths mathematics experience wisdom sensemaking makingsenses wernerheisenberg difference diversity realism howwethink thinking philosophy brain brains existence canon nature universe life livinghttps://pinboard.in/https://pinboard.in/u:robertogreco/b:78aeab664a9f/Zoozve2024-01-28T06:58:42+00:00
https://radiolab.org/podcast/zoozve
robertogrecoplanets moons astronomy physics orbits 2024 venus earth asteroids solarsystem quasi-moons seppomikkola paulwiegert latifnasser three-bodyproblem zoozve storytelling howwelearn alexfoster lizlandau brianskiff math mathematics lowellobservatory garethwilliams names naminghttps://pinboard.in/https://pinboard.in/u:robertogreco/b:90c7e568aa8b/Fixing my own mistake - A quick statement to the Swatch 2824 Video - YouTube2023-11-05T20:50:27+00:00
https://www.youtube.com/watch?v=QSPwenY-B28
robertogrecowatches movements eta swatch 2023 math mathematicshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:412c6a792afd/The math study tip they are NOT telling you - Ivy League math major - YouTube2023-09-03T20:51:29+00:00
https://www.youtube.com/watch?v=I5KNKsA8YpI
robertogrecomath mathematics 2023 hanzhango understanding studying howwelearnhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:c46078fc5773/Rethinking Economics and (maybe) Rethinking China - YouTube2023-07-08T23:27:52+00:00
https://www.youtube.com/watch?v=uQiM4xKIoiY
robertogrecorethinkingeconomics 2023 yuanyang economics china politics philosophy math mathematics purpose debate rote schooliness schooling academia highered highereducation orthodoxy reality criticalthinking education businessasusual economicsasusual greatrecession globalfinancialcrisis social society policy discourse currentevents curriculum politicization neoliberalism liberalism technocracy econocracy theoryofchange econometrics ideology values government governance democracy teaching howweteach pedagogy socialsciences politicalscience pluralism naturalsciences physics science models modelselection conceptualframework theory behavioraleconomics falsification history rigot historicknowledge data primarysources probabilitytheory power realworld people journalism economicsjournalism michelfoucault poststructuralism language jargon communication perspective carework labor work framework gdp macroeconomics thewhy epidemiology research coronavirus covid-19 pandemic supplychains pandemics groupthink outsiders livedexperiehttps://pinboard.in/https://pinboard.in/u:robertogreco/b:95a679e6deb5/Benjamín Labatut interview: When We Cease to Understand the World - Vox2022-07-14T16:08:20+00:00
https://www.vox.com/culture/23005220/benjamin-labatut-interview-when-we-cease-to-understand-the-world
robertogrecoconstancegrady 2022 science reality philosophy thinking curiosity noamhassenfeld howwewrite writing learning howwelearn perspective uncertainty howwethink understanding wisdom form narrative stories storytelling time space blackholes quantummechanics benjamínlabatut epiphanies physics mathematics math religion belief life living ideas mind bodies body wonder dread psychology being existence context seeing perception whatmatters importance sensemaking reinvention interconnected interconnectedness perceiving mysticism magic esotericism shinichimochizuki alexandergrothendieck františekvláčil annecarson robertocalasso howweread reading juanforn eliotweinberger luissagasti netflix novels structurehttps://pinboard.in/https://pinboard.in/u:robertogreco/b:66dc8e5ab568/A novel by Benjamín Labatut explores the dark side of science — and the color blue - Los Angeles Times2022-07-14T15:55:06+00:00
https://www.latimes.com/entertainment-arts/newsletter/2022-07-09/benjamin-labatut-when-we-cease-to-understand-the-world-novel-essential-arts
robertogrecocarolinamiranda benjamínlabatut 2021 books blue color history writing chile poetry howwewrite science singularity blackholes epiphanies quantummechanics physics mathematics math religion belief uncertainty stories narrative storytelling life living ideas mind bodies body wonder dread psychology philosophy being existence context seeing perception whatmatters importance sensemaking reinvention learning howwelearn reality form interconnected interconnectedness perceiving mysticism magic esotericism shinichimochizuki alexandergrothendieckhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:7b8f89558b5e/When We Cease to Understand the World – New York Review Books2022-07-14T15:51:11+00:00
https://www.nyrb.com/collections/new-york-review-books/products/when-we-cease-to-understand-the-world?_pos=1&_sid=adc3a07ae&_ss=r&variant=37890166784168
robertogrecollawrenceweschler 2021 science fiction literature books benjamínlabatut wgsebald howwelearn howweread howwethink howwewrite writing thinking philosophy creativity alberteinstein nielsbohr solvayconference alexandergrothendieck relativity quantummechanics understanding singularity multiplicity intelligence karlschwarzschild erwinschrodinger blackholes chile epiphanies physics mathematics math religion belief uncertainty stories narrative storytelling life living ideas mind bodies body wonder dread psychology being existence context seeing perception whatmatters importance sensemaking reinvention learning reality form interconnected interconnectedness perceiving mysticism magic esotericism shinichimochizuki erwinschrödinger wernerheisenberghttps://pinboard.in/https://pinboard.in/u:robertogreco/b:29c622cac559/Monstruos y milagros de la ciencia: Benjamín Labatut habla de Un verdor terrible - YouTube2022-07-14T15:42:33+00:00
https://www.youtube.com/watch?v=HJXadXhP5ew
robertogrecobenjamínlabatut 2021 wgsebald robertobolaño borges science literature howwelearn howweread howwethink howwewrite writing thinking philosophy creativity adamcurtis williamburroughs nicanorparra kafka alberteinstein nielsbohr solvayconference fiction alexandergrothendieck relativity quantummechanics understanding singularity multiplicity intelligence karlschwarzschild erwinschrodinger chile epiphanies physics mathematics math religion belief uncertainty stories narrative storytelling life living ideas mind bodies body wonder dread psychology being existence context seeing perception whatmatters importance sensemaking reinvention learning reality form interconnected interconnectedness perceiving mysticism magic esotericism shinichimochizuki eliotweinberger erwinschrödinger wernerheisenberghttps://pinboard.in/https://pinboard.in/u:robertogreco/b:07e1a41b1f2c/Honest Unschooling Review After the First 90 Days || Unschooling Vlog - YouTube2022-01-30T07:19:53+00:00
https://www.youtube.com/watch?v=7M_geJ5q5kE
robertogrecounschooling deschooling self-directed self-directedlearning education 2021 jwil parenting doubts community doubt children relationships reading swimming safety math mathematics responsibility blackdadhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:5e6c13947030/How To Eradicate Illiteracy Without Eradicating Illiterates? | Shikshantar2021-12-18T21:37:30+00:00
https://shikshantar.org/articles/how-eradicate-illiteracy-without-eradicating-illiterates
robertogrecoliteracy knowledge munirfasheh illiteracy learning unschooling deschooling standardization math mathematics humanity humanism diversity wisdom worth values palestine shikshantar howwelearn education schooling freedom liberation observation reflection relations relationships professionalization living life pluralism waysofknowing value commoditization thinking howwethink canon development universalism gustavoestela universities highered highereducation autonomy evaluation dignity openness honesty judgement academia culturehttps://pinboard.in/https://pinboard.in/u:robertogreco/b:924972455bef/Fields Medal: Maryam Mirzakhani - YouTube2021-06-17T20:20:47+00:00
https://www.youtube.com/watch?v=LxuVSW4VZ78
robertogrecomaryammirzakhani 2019 math mathematicshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:46cdf623b8bc/Yanis Varoufakis: From an Economics without Capitalism to Markets without Capitalism | DiEM25 - YouTube2021-01-27T03:31:48+00:00
https://www.youtube.com/watch?v=9aK4OztueuE
robertogrecoyanisvaroufakis economics socialsciences ethics science sciences humans humanism behavior capitalism academia politics policy highered highereducation theory theories 2020 thinking philosophy howwethink howweteach education history abstraction context adamsmith morality industrialization greed economichistory crisis employment unemployment johnmaynardkeynes 1929 greatdepression markets demand supply equilibrium prices math mathematics time microeconomics money modeling gametheory influence observereffect bartering monetization debt macroeconomics interestrates risk greece globalfinancialcrisis greatrecession labor work unions monopolies monopoly savings investment generalequilibrium economists canon friedrichhayek reason disequilibrium logic truth keynes hayek society land commodification realestate market globalization karlmarx stockmarket electromagnetism electricity magnetism radio telecommunications networks networkedfirm thomasedison generalelectric competition pluralism economiesofscale networkedcapitalhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:2532f3a48803/José Vilson on Twitter: "Some of the best math I’ve ever taught was when I wasn’t directly discussing the math. Like, on paper, I’m supposed to be teaching functions, but I’ll talk about teams or friends first just to pique interest and then swiv2020-10-05T20:16:49+00:00
https://twitter.com/TheJLV/status/1312835108789989376
robertogrecomath mathematics 2020 josévilson teaching howweteach mathphobiahttps://pinboard.in/https://pinboard.in/u:robertogreco/b:731a73445a67/The Devil's Calculator by Cinq-Mars Media2020-09-06T19:36:58+00:00
https://cinqmarsmedia.itch.io/devilscalc
robertogrecogames math mathematics via:hayim play puzzles calculators arithmetic logic problemsolving algebra ios android macos linux windows classideas gaming videogames toplayhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:6095ea78e25f/A Guide to Getting an Education Without Going to College2020-08-18T00:48:47+00:00
https://www.vice.com/en_us/article/pkyv4n/guide-to-getting-education-without-college
robertogrecozoésamudzi education learning howwelearn autodidacts self-directed self-directedlearning colleges universities altgdp unschooling deschooling highered highereducation paulofreire decolonization pedagogyoftheoppressed howweread paulinemaier reading saracannon blackperspectives blackagendareport chandaprescod-weinstein math mathematics science standingrock free online howto tutorialshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:8f1a66a95bde/Where Is My Mind? (situated) on Vimeo2020-05-13T01:43:46+00:00
https://vimeo.com/389667501
robertogrecomath mathematics maxkrieger pixies 2020 howwethink dynamicland howwelearn space thinking fantasia colorsofmath inception seymourpapert alexgrigg danfleisch vihart brains maryammirzakhanihttps://pinboard.in/https://pinboard.in/u:robertogreco/b:fa6b50ff1ab7/Mathematics as a Team Sport | Quanta Magazine2020-05-12T03:16:40+00:00
https://www.quantamagazine.org/mathematics-as-a-team-sport-20200331/
robertogrecomath mathematics geometry kevinhartnett 2020 topology howwework teamworkhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:9f08b942e6b3/Sprouts (game) - Wikipedia2020-04-22T18:43:59+00:00
https://en.wikipedia.org/wiki/Sprouts_(game)
robertogrecogames classideas drawing lines math mathematicshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:3c99d4683ccb/Shannon Mattern on Twitter: "From the August Harper’s Index: percentage change in women’s math test scores in a room that is between 80 and 90 degrees F rather than 60 and 70F: +27; in men’s math test scores: -7" / Twitter2019-08-02T00:53:54+00:00
https://twitter.com/shannonmattern/status/1157015140543401984
robertogrecomath mathematics education gender girls temperature 2019 environment classroom learninghttps://pinboard.in/https://pinboard.in/u:robertogreco/b:2c20f2737307/Why NASA wants you to point your smartphone at trees - The Verge2019-05-07T22:12:31+00:00
https://www.theverge.com/2019/4/15/18308044/nasa-app-point-smartphone-trees-picture-height-satellite-why
robertogreconasa maps mapping measurement 2019 trees citizenscience crowdsourcing classideas math mathematics trigonometryhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:b004c29fc521/Why Normalizing Struggle Can Create a Better Math Experience for Kids | MindShift | KQED News2019-05-07T20:06:24+00:00
https://www.kqed.org/mindshift/53404/why-normalizing-struggle-can-create-a-better-math-experience-for-kids
robertogrecomath education mathematics struggle kisung 2019 danfinkel problemsolving cv inquiry learninghttps://pinboard.in/https://pinboard.in/u:robertogreco/b:18dc506cc02d/Why the World’s Best Mathematicians Are Hoarding Chalk - YouTube2019-05-04T23:01:40+00:00
https://www.youtube.com/watch?v=PhNUjg9X4g8
robertogrecotools chalk mathematics math 2019 japan hagoromo craft craftsmanship hoarding scarcityhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:b28ed589361b/Follow-up: I found two identical packs of Skittles, among 468 packs with a total of 27,740 Skittles | Possibly Wrong2019-04-18T23:08:45+00:00
https://possiblywrong.wordpress.com/2019/04/06/follow-up-i-found-two-identical-packs-of-skittles-among-468-packs-with-a-total-of-27740-skittles/
robertogrecomath mathematics classideas statistics probability 2019https://pinboard.in/https://pinboard.in/u:robertogreco/b:0e4252357c10/Pi Day is a lie: celebrate tau, the true circle constant instead - The Verge2019-03-15T01:16:44+00:00
https://www.theverge.com/tldr/2018/3/14/17119388/pi-day-pie-math-tau-circle-constant-mathematics-circumference-diameter-radius-holiday-truth
robertogrecomath mathematics pi 2019 vihart 2018 tau numbers culturehttps://pinboard.in/https://pinboard.in/u:robertogreco/b:ae33876f2b4f/Why so many U.S. students aren’t learning math | University of California2018-10-27T22:41:26+00:00
https://www.universityofcalifornia.edu/news/why-so-many-us-students-aren-t-learning-math
robertogrecomath mathematics education teaching howweteach us learning children jamesstigler jison problemsolving memorization howwelearnhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:b87b5ba06293/Japanese Designers May Have Created the Most Accurate Map of Our World: See the AuthaGraph | Open Culture2018-10-13T04:19:58+00:00
http://www.openculture.com/2017/02/japanese-designers-may-have-created-the-most-accurate-map-of-our-world.html
robertogrecomaps mapping 2016 authagraph projections tessellations hajimenarukawa cartography math mathematicshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:9c15bb6058f3/EquatIO Math Writing Software. A Digital Math Tool For Teachers & Students Of All Abilities | Texthelp2018-06-25T05:07:57+00:00
https://www.texthelp.com/en-us/products/equatio/
robertogrecomath mathematics applications chromebooks android mac windows osx webapps chromeoshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:e55b9d729f8a/Imaginary Numbers Are Real [Part 1: Introduction] - YouTube2018-05-29T04:26:53+00:00
https://www.youtube.com/watch?v=T647CGsuOVU
robertogrecomath mathematics imaginarynumbers algebra 2015 via:agentdana negativenumbers historyhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:7b1875f8c614/Immersive Math2018-05-23T02:11:03+00:00
http://immersivemath.com/ila/index.html
robertogrecolinearalgebra textbooks free math mathematicshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:e5473170a6ba/Looking at Perfect Shuffles - Numberphile - YouTube2018-04-06T23:47:17+00:00
https://www.youtube.com/watch?v=OfEv5ZdSrhY
robertogrecofedericoardila math mathematics classideas shuffling cards 2015https://pinboard.in/https://pinboard.in/u:robertogreco/b:57603c2083e5/Combinatorics and Higher Dimensions - Numberphile - YouTube2018-04-06T23:39:25+00:00
https://www.youtube.com/watch?v=3Bv-QMaYlmo
robertogrecofedericoardila math mathematics combinatorics geometry classideas geometriccombinatoricshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:20de445953a7/Illustrative Mathematics2018-04-06T02:14:49+00:00
https://www.illustrativemathematics.org/
robertogrecomath mathematics curriculum teaching assessment education middleschool classideas via:carwaisetohttps://pinboard.in/https://pinboard.in/u:robertogreco/b:a31f0e698e21/The Origami Revolution | NOVA | PBS2018-04-06T02:09:52+00:00
http://www.pbs.org/video/nova-origami-revolution-episode/
robertogrecoorigami classideas math mathematics paper architecture fashion design nature science towatch folding via:carwaiseto engineeringhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:b63aafd2dede/Marble adding machine - YouTube2018-03-14T17:21:20+00:00
https://www.youtube.com/watch?v=GcDshWmhF4A
robertogrecobinary math mathematics calculators classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:b62ffb6c91f4/FACES OF WOMEN IN MATHEMATICS on Vimeo2018-03-08T02:13:38+00:00
https://vimeo.com/259039018?ref
robertogrecomath mathematics mathematicians video gender women diversity 2018https://pinboard.in/https://pinboard.in/u:robertogreco/b:abfb63d12747/Fermat's Library on Twitter: "Comparison between 5,000 and 50,000 prime numbers plotted in polar coordinates… "2018-02-05T00:48:51+00:00
https://twitter.com/fermatslibrary/status/959789345803833345
robertogrecomath mathematics primenumbers visualization classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:35b9cf3e412e/Mathematician Federico Ardila Dances to the Joys and Sorrows of Discovery | Quanta Magazine2018-01-22T02:18:45+00:00
https://www.quantamagazine.org/mathematician-federico-ardila-dances-to-the-joys-and-sorrows-of-discovery-20171120/
robertogrecofedericoardila math mathematics music combinatorics teaching 2017 education inclusivity inclusion culture accessibility howwweteach communityhttps://pinboard.in/https://pinboard.in/u:robertogreco/b:1173aa9f6c7c/Multiplying Non-Numbers — Math3ma2018-01-17T05:14:21+00:00
http://www.math3ma.com/mathema/2017/11/24/multiplying-non-numbers
robertogrecomath mathematics classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:1023f2257b0a/dani on Twitter: "It started with x+4... and I couldn’t unhear it. I was supposed to do my math homework but instead I figured out what the Cantina Theme wou… https://t.co/OkYdzAcuN9"2018-01-15T18:32:20+00:00
https://twitter.com/d4niphantom/status/951263443851493376
robertogrecomusic math mathematics fun humor sound classideas 2018 starwarshttps://pinboard.in/https://pinboard.in/u:robertogreco/b:5f09991d6169/Simon Gregg on Twitter: "So this is beautiful. 3 cuboids, the bases: 1x2, 2x3 & 3x4; the heights are the area of the base; the volume is the height squared, and diag… https://t.co/biJntgUMbw"2018-01-05T04:29:18+00:00
https://twitter.com/Simon_Gregg/status/943944011882123264
robertogrecomath mathematics classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:b79540a4fef7/Stacy Speyer2018-01-05T04:21:16+00:00
http://polyhedra.stacyspeyer.net/
robertogrecostacyspeyer math mathematics polyhedra classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:cdc32c07258a/Peter Karpov on Twitter: "All possible ways to divide 360 into equal parts, animated version #mathart #animation #CreativeCoding #WolfLang #Mathematica https://t.co/MECzWEk1Ev"2017-12-26T04:53:48+00:00
https://twitter.com/inversed_ru/status/945306500980989952
robertogrecofractions angles math mathematics visualization classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:e0d52fc6365e/Directory of Mathematical Headaches2017-12-11T04:20:22+00:00
https://docs.google.com/document/d/1JZmjIiqJikVD69y5ZY8w0V8MI47lBdH1DrhLiBeKQh8/mobilebasic
robertogrecovia:lukeneff math mathematics classideashttps://pinboard.in/https://pinboard.in/u:robertogreco/b:74d785bf14d7/These mathematical pies are (almost) too pretty to eat 😍2017-12-03T22:08:32+00:00
https://twitter.com/i/moments/937377164068089856
robertogrecofood pies geometry math mathematics classideas arthttps://pinboard.in/https://pinboard.in/u:robertogreco/b:6205ace7752e/How to multiply numbers by drawing lines | The Kid Should See This2017-11-30T02:17:33+00:00
http://thekidshouldseethis.com/post/drawing-lines-how-to-use-the-japanese-multiplication-trick
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http://www.long-view.com/
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https://medium.com/q-e-d/mathematics-must-be-creative-else-it-aint-mathematics-6c9a82e25a67
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https://medium.com/@rafranzdavis/how-systemic-control-stunts-creative-growth-823c798b9896
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https://www.khanacademy.org/research/reports/early-math
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https://imgur.com/gallery/voutF
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https://www.youtube.com/watch?v=kaMKInkV7Vs
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https://beta.theglobeandmail.com/life/facts-and-arguments/i-love-math-but-quit-teaching-it-because-i-was-forced-to-make-it-dull-andbanal/article36526126/
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http://www.objectamerica.org/
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https://www.theguardian.com/education/2017/jul/25/no-such-thing-as-a-gifted-child-einstein-iq?CMP=fb_gu
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https://walkerart.org/magazine/the-edgeless-ever-shifting-gradient
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https://twitter.com/sehurlburt/status/884470105320468481
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https://medium.com/@makmanalp/pie-charts-did-nothing-to-deserve-what-youre-doing-to-them-ca803997eb08
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https://borschtwithanna.blogspot.com/2017/03/task-makeover.html
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https://medium.com/@hhschiaravalli/when-i-heard-the-learnd-astronomer-2b6f6ee991ad
robertogrecoLow-quality assessments have the potential to produce inaccurate information about student learning. Inaccurate formative assessments can misinform teachers and students about what should come next in the learning. Inaccurate summative assessments may mislead students and parents (and others) about students’ level of proficiency. When a teacher knows the purpose of an assessment, what specific elements to assess…he or she will most likely see accurate assessment information.
Unfortunately, assessment accuracy in the language arts and humanities in general is notoriously elusive. In a 1912 study of inter-rater reliability, Starch and Elliot (cited in Schinske and Tanner) found that different teachers gave a single English paper scores ranging from 50 to 98%. Other studies have shown similar inconsistencies due to everything from penmanship and the order in which the papers are reviewed to the sex, ethnicity, and attractiveness of the author.
We might argue that this situation has improved due to common language, range-finding committees, rubrics, and other modern developments in assessment, but problems remain. In order to achieve a modicum of reliability, language arts teams must adopt highly prescriptive scoring guides or rubrics, which as Alfie Kohn, Linda Mabry, and Maya Wilson have pointed out, necessarily neglect the central values of risk taking, style, and original thought.
This is because, as Maya Wilson observes, measurable aspects can represent “only a sliver of…values about writing: voice, wording, sentence fluency, conventions, content, organization, and presentation.” Just as the proverbial blind men touching the elephant receive an incorrect impression, so too do rubrics provide a limited — and therefore inaccurate — picture of student writing.
As Linda Mabry puts it,
The standardization of a skill that is fundamentally self-expressive and individualistic obstructs its assessment. And rubrics standardize the teaching of writing, which jeopardizes the learning and understanding of writing.
The second part of Mabry’s statement is even more disturbing, namely, that these attempts at accuracy and reliability not only obstruct accurate assessment, but paradoxically jeopardize students’ understanding of writing, not to mention other language arts. I have witnessed this phenomenon as we have created common assessments over the years. Our pre- and post-tests are now overwhelmingly populated with knowledge-based questions — terminology, vocabulary, punctuation rules. Pair this with formulaic, algorithmic approaches to the teaching and assessment of writing and you have a recipe for a false positive: students who score well with little vision of what counts for deep thinking or good writing.
It’s clear what we’re doing here: we’re trying to do to writing and other language arts what we’ve already done to mathematics. We’re trying to turn something rich and interconnected into something discrete, objective and measurable. Furthermore, the fundamentally subjective nature of student performance in the language arts renders this task even more problematic. Jean-Paul Sartre’s definition of subjectivity seems especially apt:
The subjectivity which we thus postulate as the standard of truth is no narrowly individual subjectivism…we are attaining to ourselves in the presence of the other, and we are just as certain of the other as we are of ourselves.…Thus the man who discovers himself directly in the cogito also discovers all the others, and discovers them as the condition of his own existence. He recognises that he cannot be anything…unless others recognise him as such. I cannot obtain any truth whatsoever about myself, except through the mediation of another. The other is indispensable to my existence, and equally so to any knowledge I can have of myself…Thus, at once, we find ourselves in a world which is, let us say, that of “intersubjectivity.”
First and foremost, the language arts involve communication: articulating one’s own ideas and responding to those of others. Assigning a score on a student’s paper does not constitute recognition. While never ceding my professional judgment and expertise as an educator, I must also find ways to allow students and myself to encounter one another as individuals. I must, as Gert Biesta puts it, create an environment in which individuals “come into presence,” that is, “show who they are and where they stand, in relation to and, most importantly, in response to what and who is other and different”:
Coming into presence is not something that individuals can do alone and by themselves. To come into presence means to come into presence in a social and intersubjective world, a world we share with others who are not like us…This is first of all because it can be argued that the very structure of our subjectivity, the very structure of who we are is thoroughly social.
Coming to this encounter with a predetermined set of “specific elements to assess” may hinder and even prevent me from providing recognition, Sartre’s prerequisite to self-knowledge. But it also threatens to render me obsolete.
The way I taught mathematics five years ago was little more than, as Biesta puts it, “an exchange between a provider and a consumer.” That transaction is arguably better served by Khan Academy and other online learning platforms than by me. As schools transition toward so-called “personalized” and “student-directed” approaches to learning, is it any wonder that the math component is often farmed out to self-paced online modules — ones that more perfectly provide the discrete, sequential, standards-based approach I developed toward the end of my tenure as math teacher?
Any teacher still teaching math in this manner should expect to soon be demoted to the status of “learning coach.” I hope we can avoid this same fate in language arts, but we won’t if we give into the temptation to reduce the richness of our discipline to standards and progression points, charts and columns, means, medians, and modes.
What’s the alternative? I’m afraid I’m only beginning to answer that question now. Adopting the sensible reforms of standards-based learning and grading seems to have been a necessary first step. But is it the very clarity of its approach — clearing the ground of anything unrelated to teaching and learning — that now urges us onward toward an intersubjective future populated by human beings, not numbers?
Replacing grades with feedback seems to have moved my students and me closer toward this more human future. And although this transition has brought a kind of relief, it has also occasioned anxiety. As the comforting determinism of tables, graphs, charts, and diagrams fade from view, we are left with fewer numbers to add, divide, and measure. All that’s left is human beings and the relationships between them. What Simone de Beauvoir says of men and women is also true of us as educators and students:
When two human categories are together, each aspires to impose its sovereignty upon the other. If both are able to resist this imposition, there is created between them a reciprocal relation, sometimes in enmity, sometimes in amity, always in tension.
So much of this future resides in communication, in encounter, in a fragile reciprocity between people. Like that great soul Whitman, we find ourselves “unaccountable” — or as he says elsewhere, “untranslatable.” We will never fit ourselves into tables and columns. Instead, we discover ourselves in the presence of others who are unlike us. Learning, growth, and self-knowledge occur only within this dialectic of mutual recognition.
Here we are vulnerable, verging on a reality as rich and astonishing as the one Whitman witnessed."]]>arthurchiaravalli standards-basedassessments assessment teaching math mathematics writing learning romschimmer grading grades alfiekohn lindamabry gertbiesta khanacademy personalization rubics waltwhitman simonedebeauvoir canon sfsh howweteach howwelearn mutualrecognition communication reciprocity feedback cv presence tension standards standardization jean-paulsartre mayawilson formativeassessment summativeassessment interconnection intersubjectivity subjectivity objectivity self-knowledge humans human humanism 2017 education sartrehttps://pinboard.in/https://pinboard.in/u:robertogreco/b:5b5f24829821/Welcome to the Mathematics Assessment Project2017-02-13T02:14:30+00:00
http://map.mathshell.org/
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https://www.youtube.com/watch?v=skvnj67YGmw
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http://www.instituteofplay.org/work/projects/print-play-games-2/absolute-blast/
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