Dungiss

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Dungiss

Dungiss

@dungiss

He/Him | SSBU Shulk | Guy who plays games and reads Web Novels, but currently a Math PHD student. I play fighting games, a lot, and play Monster Hunter, a lot.

Katılım Ocak 2019
691 Takip Edilen95 Takipçiler
Dungiss
Dungiss@dungiss·
@cbokhove Add to this that for many public schools, teachers have to grade hundreds of papers, which makes it super difficult to comb through the papers with partial credit and point out specific misunderstandings a student could have naturally had and course correct their learning.
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Dungiss
Dungiss@dungiss·
@cbokhove It seems like such an annoying knot to untie. A lot of researched math learning is put into teaching methods to aid in learning, but it also feels like some teachers themselves don't understand the 'why' to utilize it (they don't get paid enough to tbf), and then phones appear...
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Christian Bokhove
Christian Bokhove@cbokhove·
I wonder why mathematics professors with little or no experience in schools think they know how best to teach mathematics in schools.
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Dungiss
Dungiss@dungiss·
@B84Paul @Fintech03 Correct, it seems to be based on a story from Feynman's graduate school days, but framed in a kind of confrontational light. x.com/dungiss/status…
Dungiss@dungiss

@Fintech03 This isn't actually a real story, especially the dismissal. The banach-tarski paradox part comes from the challenge of splitting an orange apart into more and recombining enough to become as large as the Sun. But atoms aren't continuous Source:"Surely You're Joking, Mr. Feynman!"

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Paul B
Paul B@B84Paul·
@Fintech03 This is ignorant nonsense. Lots of maths that doesn't describe "material [that] exists in nature" has proven to be extremely useful and important. I don't believe he ever said such a thing.
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Parimal
Parimal@Fintech03·
Feynman once walked into the math department at Caltech & challenged the mathematicians to a duel. He asked them to name any theorem, no matter how complex, & promised he could explain it using common sense & basic physics. They gave him the Banach-Tarski Paradox (which says you can cut a ball into pieces & reassemble them into 2 identical balls). Feynman looked at it & dismissed it because no such material exists in nature. To him, if the math did not describe an asset in the real world, it was just accounting fluff :))
Philosophy Of Physics@PhilosophyOfPhy

"If all of mathematics disappeared, physics would be set back by exactly one week." - Richard P. Feynman

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Dungiss
Dungiss@dungiss·
@meurfault @Fintech03 It's more like a bunch of different stories stitched together, of which the original was casual banter/rivalry during graduate school days between majors. The original quote that was retweeted was a misquoted joke though, erasing the punchline x.com/dungiss/status…
Dungiss tweet media
Dungiss@dungiss

@Fintech03 This isn't actually a real story, especially the dismissal. The banach-tarski paradox part comes from the challenge of splitting an orange apart into more and recombining enough to become as large as the Sun. But atoms aren't continuous Source:"Surely You're Joking, Mr. Feynman!"

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tublai
tublai@meurfault·
@Fintech03 Is this a joke or is he on my shitlist forever
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Dungiss
Dungiss@dungiss·
@Exanimo99 @Fintech03 Yeah, it's likely a dramatization of recounted events x.com/dungiss/status…
Dungiss@dungiss

@Fintech03 This isn't actually a real story, especially the dismissal. The banach-tarski paradox part comes from the challenge of splitting an orange apart into more and recombining enough to become as large as the Sun. But atoms aren't continuous Source:"Surely You're Joking, Mr. Feynman!"

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(((Palee)))
(((Palee)))@Exanimo99·
@Fintech03 Huh? Feynman did work on logic and set theory, this story doesn’t really make sense to me. But I don’t really know enough about him…
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Dungiss
Dungiss@dungiss·
@mutko55 @Fintech03 Complex numbers exist everywhere Real for those with the i's to see them
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Dungiss
Dungiss@dungiss·
@Neuario @Fintech03 Looking further into it, the quote from the original tweet about "Math disappearing" was not even a recount directly from the autobiography, but an oral story from Mark Kac in some of his lectures, seemingly only preserved in a joke book and Joel E. Cohen's review of the autobio
Dungiss tweet mediaDungiss tweet mediaDungiss tweet mediaDungiss tweet media
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Dungiss
Dungiss@dungiss·
@Neuario @Fintech03 Better than the og post (source - none) and the retweeted out-of-context quote from Mark Kac's autobiography, which was a recollection of playful banter between himself and Feynman with punchline "Precisely the week in which God created the world." cut out
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Dungiss
Dungiss@dungiss·
@x____mas @Fintech03 Now, keep in mind that the source story is like a collection of bar stories that are written from Feynman's perspective so there is almost certainly bias or overdramatization. The original post is likely loosely based on this (can't find any other potential source directly)
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Xmas
Xmas@x____mas·
@Fintech03 Don't twist the truth to appear intelligent on X. This is the real story: x.com/i/status/20509…
Dungiss@dungiss

@Fintech03 This isn't actually a real story, especially the dismissal. The banach-tarski paradox part comes from the challenge of splitting an orange apart into more and recombining enough to become as large as the Sun. But atoms aren't continuous Source:"Surely You're Joking, Mr. Feynman!"

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Dungiss
Dungiss@dungiss·
@sublime_physics @Fintech03 Not untrue, although it is also true that the topologists here explained the conditions in depth enough for Feynman to create an image of what they're talking about and provide a counterexample. "Providing solutions or starts to problems that don't exist yet" is an apt descriptor
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Dungiss
Dungiss@dungiss·
@KingMolozite @itsJonasWeiss @EmmanuelEchengi @Fintech03 Mathematicians, like topologists (studying shapes and spaces), usually work with 'continuous' number sets, in that there is basically infinite numbers between each and no gap ever. An orange, and most items in reality, is something made up of atoms, which aren't a continuous set.
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Dungiss
Dungiss@dungiss·
@T0NI_K @AnaMagSL @HillcrestCardCo Maybe they did, maybe they didn't, but just an X marking the entire question as incorrect makes a student think nothing they put down is correct or the right start, even the 8 and 2. If they also weren't given an answer sheet, then they have no way to improve their understanding
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Dungiss
Dungiss@dungiss·
@iampagal3602 @Fintech03 Here's how he reasoned it. Indeed, the condition of continuity only works on an orange if it was made up of a continuous set, but atoms are not a continuous set of numbers.
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KAPIL CHAHAR
KAPIL CHAHAR@iampagal3602·
@Fintech03 feynman was wrong, take a ball made up of clay, make a ball, divide it into sveral pieces and make two new ball identical, and u can keep doing so till the level of atoms!
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Dungiss
Dungiss@dungiss·
@koffing2lunch I get that some slobber brains in the replies are like "b-based?!" But this quote was recounted banter between the guy and Mark Kac from one of his lectures, where Kac responded “Precisely the week in which God created the world.” The 2 of them were on good terms in general
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Dungiss
Dungiss@dungiss·
@acidiclemon2 @RoseEdmunds @HillcrestCardCo for some who are more comfortable with it, .9*C can be easier mentally. So if they added 16 to it, then multiplied by 2 it gives the exact amount. 1.8*C+32 = (0.9*C+16)*2 Technically adds one more step compared to the original, but .9 can be easier to work with than 1.8 mentally.
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Umbraphile
Umbraphile@acidiclemon2·
@dungiss @RoseEdmunds @HillcrestCardCo I similarly round 1 multiplier to the next 5 or 10 and then reverse it later by adding or subtracting extra. Which led to a quick formula for Celsius to fatnheit: Multiply by 2 and add 30. Actual formula is *1.8 +32. This is correct at 10 Celsius, 30C = 90, so only +4F error.
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Dungiss
Dungiss@dungiss·
@acidiclemon2 @RoseEdmunds @HillcrestCardCo Probably works well because it's similar to having 2 cups of water partially filled, then filling one of them up to full with the other, leaving the rest left over. Intuition from real life growing up usually guides these different methods, but they are usually the same deep down
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Dungiss
Dungiss@dungiss·
@livid_endurance @HillcrestCardCo Those are logical beginnings that only need to be adjusted. Without any correction, the student thinks nothing they did is right, leading to self doubt that makes them dislike the topic more and imprinting that they 'aren't good at math', leading to later 'math anxiety' problems
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Dungiss
Dungiss@dungiss·
@livid_endurance @HillcrestCardCo I understand that it doesn't seem like it helps to teach the concept, but they didn't arrive at 2 from nothing. Adding the 8 and 2 to get 10 is a logical step, it's just that all they needed was to subtract a 2 as well to keep it as the same system.
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Keşfet

@cbokhove @B84Paul @Fintech03 @meurfault @Exanimo99 @mutko55 @Neuario @x____mas