#mathematical thinking

[stevengreenstein]

I invited first-year math majors to collaborate with me on an adaptation of the game Twister that's played inside of an icosahedron. It's called "Embodied Icosahedral Twister."

#embodied cognition #mathematical thinking #enactivism

[caruliaa]

staff still hasn't given me polls, what should i do?

🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪 their moms 69%

🟪🟪🟪🟪🟪🟪🟪 their dads 31%

grace image os i get to look at her

#edit: edited the og post to what i want but to set the record straight i edited to the post to be mathematically correct right after the #first person pointed it out which was like ten mins after i posted the og post. now fuck offf !!!!! the rest of the tags r from the og post #for some reason i feel very immature making your mom jokes about tumblr staff. which i shldnt !! #bc they suck nd they still havent given me polls. but i ig i feel imature bc it a your mom joke 😭 but still i tihnk its kinda funny #EDIT: edited the post to what i want bc yall were getting annoying . but to set the record straight i edited to post to be mathematically #also its *mum* not mom okay i am NOT !! an american . but if i say mum everyone will j be like 'omg british' like i dont know i am #anyway. i want polls please. give me the rigght to force my mutuals chose between the most inane things #also i tihnk it wld b cool for the cs weekly blog. like w each episode #i cld do a poll of like. out of five stars what do u think of this ep #and it wld b a cool thing of which eps r ppls faves #also i cld have like. whose ur fave in team red whos ur fave in acme etc #id prob just have to go with vile faculty bc theres more than 10 ppl in vile. and ppl wld kill me if i didnt include nel the ell or whoever #it wld b fun !!! #oh btw csweekly thats i thing i want to start. prob on uhhh the 11th of feb ill post abt it more but its basically #a tag/blog for watching cs one ep a time watching one ep every saturday #ya !! :3 #flappy rambles #inaccessible #ask to tag #(<- idk. just in case)

[sudhirmemorialinstituteliluah]

A variety of books can be used to support math and STEM understanding through discussion and literature. The teachers of the CBSE School in Howrah district help students learn about math and STEM.

#Mathematical Thinking #Support Mathematical Thinking #CBSE School in Howrah district #learn about math

[amritafoundation]

Mathematical Thinking workshop for students

Mathematical Thinking workshop for students

In this two episode of a new podcast series, Santosh Avvannavar talks to some students from Seshadripuram Public School in Yelahanka, Bengaluru to come and share their thoughts on mathematical thinking. In the workshop he discuss different strategies for thinking mathematically, and have a lively conversation about how to foster mathematical thinking in students.

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#math is easy #math is fun #math made easy #math phobia #Mathematical Thinking #QtSteam #Santosh Avvannavar #school workshop #thinking workshop #Youtube

[ipilovemath]

Math will Help You Win Games - {igebra.ai}

#youtube #math games #mathematical thinking

[reality-detective]

Mathematics 🤔

#pay attention #educate yourselves #educate yourself #knowledge is power #reeducate yourself #reeducate yourselves #think about it #think for yourselves #think for yourself #do your homework #do some research #do your own research #question everything #ask yourself questions #mathematics #math #teach right #school system #educational system

[guinevereslancelot]

#spock #s'chn t'gai spock #star trek #star trek strange new worlds #star trek snw #snw spoilers #literally couldn't stop thinking abt this until i made it #cinematic parallels #snw musical episode is the best ep of the series to me #star trek rhapsody #sobbing mathematically #star trek memes #this has been a shitpost #started from the bottom now we're here #star trek humor #the two moods #this could be the next kills you in spanish #do you see my vision #kills you mathematically

[dodecalemma]

Math affirmations:

You are necessary and sufficient.

#mathblr #mathematics #trying to think of more to add on #feel free to add if you think of one lol

[elbiotipo]

#cosas mias #me when I think about my mathematics crush <3

[simplydnp]

who's hand is in this picture?

A Mathematically Rigorous Proof That I Spent Too Long Writing

welcome to university math: dnp hand edition

(no, don't leave, you'll be fine i promise)

to begin, we need a statement to prove. we have two options:

- the hand is dan's hand

- the hand is phil's hand

now, for most proofs in university math, you are told a true statement, and you must show why it is true using logic rules, definitions, and theorems. but, we do not know which of these statements are true, so we have to find out.

to prove that a statement is true, we must show that it is always true for the situation presented. to show a statement is false, we must present a single instance where the statement is false (also known as a counter example).

a quick not scary math example:

definition: a prime number is only divisible by 1 and itself.

statement: all prime numbers are odd

(this is false, because 2 is a prime number and it is even. you don't even need to check if there's any others, all you need is one single case where it isn't true to disprove it)

so now that we have a little background on proofs and how to prove and disprove them, we go back to our two statements.

the thing with this situation is, one of them must be true (unless you're gung-ho on someone else holding dan's face while phil takes a picture on his phone of dan in his glasses, in which case, i applaud your commitment, but in actuality this proof will cover that option too)

the full statement we have is: dan is touching his face or phil is touching dan's face

now, because this is Real Life and we have a picture where a hand is touching dan's face, we know already that one of these options is true (as mentioned above) but! using symbolic logic you could also come to this conclusion.

this type of statement is an 'or' statement, and if you're curious, you can look into 'truth-tables' and see why, but at least one of the options must be true.

back to the proof at hand (bah-duhm-tss)

okay. now, proofs also must be 'general' in order to mean anything, really. these are statements of truth of the universe, not just for individuals. so, we will prove this generally.

we have 2 people involved, so individual 1 (dan, the owner of the face and potential face toucher) will be labelled as 'D' , and individual 2 (phil, the possible face toucher who does not own the face) will be labelled as 'P'. thus, this can be true for any such D and any such P.

so with our 'or' statement, in order to prove it, we pick one of the options and say that it is not true, and we have to show then that the other is true.

step 1: let's assume this is not P's hand. (assumption)

step 2: thus, it must be D's hand. (what we take from our assumption)

step 3: now, if it is D's hand, we look at what a hand on one's own face is capable of appearing like. (a definition or true fact about step 2)

the position in the given photo shows the hand with a thumb on the cheek, and a finger on the forehead. so, we find an example of a person with their fingers in the same position (or close to) and see if this supports our claim.

consider:

now, with this image, you can clearly see how the subject's right hand has the thumb on the temple and index finger on the top of their head, however, it is a close enough position for our case.

from the view of the camera, the closest finger to the camera is the edge of the pinkie. in fact, it will always be the closest finger to the camera in this position, assuming the subject has all fingers and no additional appendages.

step 4: we now compare this to our photo (we verify if this holds to our claim or contradicts it)

in our photo, the closest appendage to the camera is the edge of the thumb.

step 5: thus, it cannot be the case that D is touching their own face. (what the evidence says)

step 6: as we assumed it was not P's hand and have shown it cannot be D's hand, and as this is an 'or' statement both of these claims cannot be false, we can therefore conclude it must be P's hand. (our conclusion: re-stating the statement and assumptions and conclusion)

step 7: we verify that P is true (optional step but in beginner proofs you generally show why your case works)

to do this, i will show a picture of a person touching another's face, and compare it to our image.

consider:

now, this image is not exactly the same, similar to above. however, P's left thumb is on the cheek, with their index on D's temple. the closest appendage to the camera (if it were in a similar perspective as our original) would be the edge of the thumb.

comparing it to our original:

our comparison holds.

thus, we can conclude that the true claim in this statement is that P must be touching D's face, which, in particular means that:

phil is touching dan's face in the image

thank you for partaking in phannie mathematics. we now know. i am not sorry.

bonus:

phil has a hitchhikers thumb and dan doesn't so why was this necessary at all 🤡

#genuinely might be my magnum opus #please don't be scared of the math there's not numbers if anything it's more logic than what most people would know as math #this was purely for fun. my brain just saw the anatomical options while ive been staring at that photo since we've gotten it #dan looks sooo good in phils glasses and i cant not think about it yknow #dan and phil if you read this. hi. hope you enjoyed the math lesson. loved the video btw. thank you for wdapteo 2023. #also shout out to all my other math major phannies. love you. hope you enjoyed #dnp #c.text #dan and phil #and for the hell of it: #math #mathematics #math proof

[boyquiet]

i think that we need to get over the narrative that you can’t have gay villains because that’s a harmful stereotype because there’s a huge difference between “this character is gay and a bad person” and “this character was written specifically to equate being gay and being evil/depraved/degenerate”. it’s just such a narrow minded view of fiction that leads to people afraid to write queer characters as anything less than morally perfect and then to a bunch of palatable but bland and boring queer characters that are arguably worse representation than a gay villain because they are not allowed to do anything wrong. while it is important to write all types of gay characters a work isn’t instantly “problematic” because the villain is queer and the hero isn’t. I think this is also related to the idea of subtext vs text in gay media and how I see a lot of people get mad bc the homoerotic subtext isn’t made canon without considering the context of it at all—sometimes creators make artistic decisions for reasons other than that they didn’t want the gay people to kiss because they’re homophobic. well written queer subtext can be better than a canon gay couple with no personality or relevance and a queer villain can be a better queer character than a gay hero because the characters in-universe morality isn’t inherently tied to how much care they are written with and the quality of “queer representation” isn’t determined by the amount of times they kiss on screen.

#mainly this is brought on by mgs discourse surrounding vamp and volgin and ocelot #I was telling a friend who isn’t into mgs about how ocelot is gay and a sadist and they asked if there were any good gay characters in mgs #and I was like um well no one is really a good character in this series. but yeah I guess #and they said ‘then the game is redeemed’ #that was pretty disappointing to me im not making a callout for my friend or anything but like. you cant judge a work on its rep #by weighing the number of ‘good’ and ‘bad’ queer characters mathematically #it’s shallow and reductive both to queer rep and the concept of gray morality #never mind that ocelot is one of the most important well written and beloved characters in the franchise. hes gay and evil so that must #make him a derogatory stereotype and ‘bad representation’ #anyway I think ocelot should torture and kill more people for fun #queer #lgbtq

[max1461]

Mathematics is still premodern.

#thought that's been bubbling up #I think that modern mathematics may begin to arrive this century

[aurpiment]

I think if you showed the terror (2018) to the ghosts of the Franklin expedition crew they’d be varying degrees of distressed, even if you emphasized it was intended as a work of fiction. The only man who would unambiguously have a lark of a time would be the historical Cornelius Hickey: “You’re telling me it went wrong partly because I wasn’t there and got replaced by an impostor? Thanks! It’s good to be appreciated.” Maybe the historical Crozier would warm up to it once he got over the invented alcoholism and the supernatural elements. “At least my bastard of a counterpart is doggedly vindicated by the narrative and gets out of it alive,” he’d say. So to really upset him you’d have to open ao3 in another tab.

#Fitzjames is calling Tobias Menzies a mathematically perfect slur as we speak #but it’s not the one you think #the terror #mt

[riverwithoutbanks]

SO WAS ANYONE GOING TO TELL ME THAT MISHA COLLINS CO AUTHORED AN ARTICLE ON SHAPE STRUCTURES OR WAS I JUST SUPPOSED TO HAVE A STROKE WHEN LOOKING AT THE AUTHORS LIKE THE LOSER I AM

#that shit is why I’m giving up applied mathematics to go into theoritical physics #things that make me go bark bark #I thought I was safe #well think again arsehole #Misha Collins

[elexuscal]

William Laurence really went from "i know dragons can fuck a ship up and that's about it" to "foremost human expert of dragon psychology, sociology, and war-time supply chain in Europe*" in under a decade and good for him

that's what happens when you don't have to unlearn incorrect methods first (*Except France)

#temeraire #also yes some of this is about dragon's unique biology #like their adoration of mathematics and treasure #and the ability to intensely pack bond if given an opportunity #but it's also really basic stuff like #“big dragons can be used to carry big things” #“dragons don't have to eat meat exclusively” #“people like to be paid for their labour” #“dragons are sapient creatures who can think rationally about situations”

[greetings-inferiors]

My applied lecturer just said “differentiation is work but integration is art” and that’s my new favourite thing actually

#I think it’s a quote from somewhere else #but still #it so eloquently described their dynamic #text post #randyposting #maths #mathematics #mathblr #calculus