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134 posts · Last used 19h

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 37mo ago
Replying to

1/9 #MathsMonday Today I'm going to talk about adding/removing brackets, for 2 reasons...

  • people prematurely remove them
  • people adding them incorrectly In #Mathematics we have many things which are the opposite of each other - add/subtract, multiply/divide, factorising/expanding - and so it is with brackets in #Math also. This is because if someone has put together an expression from a number, the rules of #Maths have to make sure we follow the exact opposite steps to get the same number...
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 38mo ago
Replying to
1/7 This week for #MathsMonday we are going to debunk the "implicit multiplication" (IM) claims (and also look at the mnemonics). I say claims, because there is actually no such thing as IM in #Mathematics. I find invariably the people who say there is have forgotten The Distributive Law (TDL) and/or Terms, but most often both! As we have already seen, these are both rules of #Maths, taught in many #Math textbooks, so that right away debunks any claims that "there is no convention in Maths"...
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 38mo ago
Thread index https://dotnet.social/@SmartmanApps/110897908266416158 Before I say what it is, I am NOT posting this as clickbait (which is how it's often used)! 😂 I'm posting this as a Maths teacher who knows this topic inside-out and wants to help people to understand it better. There are MANY mistakes that people make and get the wrong answer, and I'm going to cover them in bite-size chunks each week for a few weeks So 8÷2(1+3)=? What is the answer (bonus: and WHY is it the answer)? #Maths #Mathematics #MathsMonday
dotnet.social

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 (@SmartmanApps@dotnet.social)

1/4 #MathsMonday Order of operations thread index #Mathematics #Maths #Math Introduction https://dotnet.social/@SmartmanApps/110807192608472798 1 The Distributive Law #DontForgetDistribution https://dotnet.social/@SmartmanApps/110819283738912144 2 Terms #MathsIsNeverAmbiguous https://dotnet.social/@SmartmanApps/110846452267056791 3 Factorising<->The Distributive Law https://dotnet.social/@SmartmanApps/110886637077371439 4 implicit multiplication, mnemonics https://dotnet.social/@SmartmanApps/11

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 38mo ago
Replying to
I was going to start discussing this tonight, but was hoping for some more answers. I guess people don't want to risk a wrong answer in a #Maths teacher's post! 😂 Don't worry - I don't bite! 🙂 This is #Mastodon not the other place. This thread's here to help people learn, and there are MANY mistakes that can be made, and it helps to see some in action. You wanna learn where you might be going wrong with your #Mathematics ? Post here. 😉 I'll check in again tomorrow, and then start explaining
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 38mo ago
Replying to
@DevWouter@s.poweredbydev.com @mattgoldman@mastodon.social both got the correct answer of 1 - well done! Let's look at the correct working out, then delve into where people go wrong with their #Maths #math 8/2(1+3) =8/(2*1+2*3) =8/(2+6) =8/8 =1 Also acceptable is... 8/2(1+3) =8/2(4) =8/(2*4) =8/8 =1 If you've seen someone say that it's ambiguous, it isn't - we shall see in coming weeks that #MathsIsNeverAmbiguous they have simply forgotten one or more #Mathematics rules First, #DontForgetDistribution the Distributive Law...
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 36mo ago
Replying to
1/10 This week for #MathsMonday I'm going to talk about #calculators, in particular the current topic of #Mathematics order of operations (which I am nearly finished with now), and e-calculators (I'm looking at you #Developers #Programmers). It's important to know where brackets go in #Maths expressions, and after last week's topic I ran a follow-up poll https://dotnet.social/@SmartmanApps/111145907574869556 to see how many people could remember the #Math FOIL acronym from High School, because I sensed a deeper issue...
dotnet.social

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 (@SmartmanApps@dotnet.social)

#Mathematics #Maths #Math #Poll Do you remember the acronym FOIL from High School? i.e. what it stands for/how to use it Please boost for reach Thank you to those who voted. The result of this is discussed in https://dotnet.social/@SmartmanApps/111145907574869556 (also includes textbook screenshot of what FOIL is 🙂 - it's First, Outside, Inside, Last. i.e. multiply those terms in adjacent brackets in that order) [ ] Yes [ ] I'd forgotten about it... til I saw this poll! [ ] Sounds vaguely f

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 31mo ago
1/6 I have a #MathsMonday #FactFriday cross-over event post for you this week 🙂 The #fact is that #Mathematics is universal. We may use different notation in different countries, but the underlying #Maths is the same everywhere. i.e. there is nothing "arbitrary" about #Math I saw someone question if there might be "different" Maths somewhere else in the universe. No. If I have 1 thing, and I get another thing, I now have 2 things. i.e. 1+1=2 (or your country's notation)...
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 38mo ago
Replying to
#MathsMonday week 2, Terms. Simply put, in #Mathematics Terms are separated by operators and joined by brackets. The most common example is 2a=(2*a). This makes it simpler to write fractions. e.g. 1/2a rather than 1/(2*a). That also means 1/2a isn't mistaken as half a, which would actually be written as a/2. Notice in the latter that the a is to the left of the division, which means it's in the numerator, and vice-versa for the former (more about this aspect of #Maths #Math later, but first)...
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 38mo ago
Replying to
1/6 #MathsMonday 1917 (part 1) - Left Associativity I have seen many people who argue about this #Mathematics issue that refer to changes in 1917, and I started to research it this week. The #Maths change I thought was made, I have not been able to find any reference for it, and that is about /2(1+3) vs. /2*(1+3). Apparently in pre-1917 #Math the latter was also considered to be a single term (in the denominator) but now is 2 terms. If anyone has a reference for that then please let me know...
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Nitrax Mathematical Keyboard @math_keyboard@mastodon.social
· 1d ago
Boosted by @welcome@friends.deko.cloud
Hello Mastodon! 👋 We're Nitrax, and we've built a physical keyboard designed to make typing mathematics easier. Greek letters, equations and scientific symbols — accessible directly from your keyboard. ⌨️ See how it works: https://mathematicalkeyboard.com/ 🛒 Available on Amazon: https://link.mathematicalkeyboard.com/mastodon #Introduction #STEM #Mathematics
Physical Math Keyboard
Mathematical Keyboard

Physical Math Keyboard

A real physical keyboard built for math. Type symbols, Greek letters, and operators faster in Word, Google Docs, and more. Wireless, compact, and easy to use.

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Scott Francis @darkuncle@infosec.exchange
· 4d ago
*sigh* rather than seriously considering the MathAndAI dot org declaration from 28 Fields Medal winners (including Terry Tao), OpenAI just plowed ahead full-steam and released another 372 major results in mathematics around unsolved problems (although the proofs are reportedly nearly impossible to independently understand—but verification via Lean appears to be included for many—and read like the author was stoned). I will tap the sign, once again, even though none of the AI companies are paying any attention. #maths #mathematics https://scottaaronson.blog/?p=10169
Shtetl-Optimized

The Mathocalypse

Updates (Oct. 9): To address some questions that keep coming up… No, I’m not aware of any direct practical implications of any of these results. I certainly don’t expect the O(n l…

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Scott Francis @darkuncle@infosec.exchange
· 4d ago
Replying to
this from Quanta on the topic is a good read: https://www.quantamagazine.org/is-ai-the-end-of-math-as-we-know-it-20261005/ #maths #mathematics
Is AI the End of Math As We Know It? | Quanta Magazine
Quanta Magazine

Is AI the End of Math As We Know It? | Quanta Magazine

Mathematicians are facing the sudden shift with grief, anger, and a desperate search for fresh ideas: “If we don’t adapt, there’s just no more math in 50 years.”

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Fedi.Garden @FediGarden@social.growyourown.services
· 1w ago
Boosted by @fedicat@pc.cafe
Mathstodon.xyz is a Mastodon server for people who love maths. We have LaTeX rendering in the web interface! We hope there’ll be lots of maths chat, but any topic following the code of conduct is OK. This server has a post size of up to 1729 characters. :Fediverse: https://mathstodon.xyz You can find out more at https://mathstodon.xyz/about or contact the admin account @christianp@mathstodon.xyz#FeaturedServer #Mathematics #Maths #Math #LaTeX #Mastodon #Fediverse #FreeFediverse
mathstodon.xyz

Mathstodon

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PJvM @pjvm@clttr.it
· 1w ago
Boosted by @welcome@friends.deko.cloud
I suppose an #introduction post is long overdue. My name is PJ van Mill (pjvm for short; 'they'). I'm working as a doctorand/PhD-student at Maastricht University, in mathematical operations research. I am interested in lots of other things. Two big ones for me are psychology, where I mostly engage with niches that are critical of mainstream psych, and leftist political analysis, where currently most of what I read is from an anarchist perspective. I'm also into some areas of law, namely copyright law and Dutch law on associations and other legal persons. I try to promote digital autonomy and I like simple and well-designed software. I love classical music; I sing in two classical choirs in Maastricht and I like to do classical improvisation on keyboard instruments. I do some volunteer work for my choirs; for one of them I am currently a board member. I also make sheet music sometimes. I have a website and a gemini capsule, for which I try to write stuff (I have a lot of stuff in my head that I have yet to get out into text) and where you can find some sheet music as well. What else... well, I am some kind of queer, but it's all a bit vague, uncertain and hard to explain or label. One aspect that has more or less crystallised is that I really don't like it when people make gendered assumptions about me, and I would hesitantly label myself as agender. I'm also autistic; currently not pursuing a formal psychiatric diagnosis. Lastly, I suppose quite an important thing for me is that I grew up christian and am now agnostic. I'm not very active on here; I read a lot of other people's posts but rarely make my own. I kind of want to change that, spend less time reading and more time interacting. #mathematics #Maastricht #ZuidLimburg #psychology #anarchism #law #foss #classicalMusic #personalWebsite #gemini #geminiProtocol #queer #agender #actuallyAutistic #agnosticism
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Quanta Magazine @quanta@robot.villas
· 2w ago
Mathematicians Harness Randomness To Crack a 55-Year-Old Conjecture https://www.quantamagazine.org/mathematicians-harness-randomness-to-crack-a-55-year-old-conjecture-20260928/ #Mathematics #Science #Research
Mathematicians Harness Randomness To Crack a 55-Year-Old Conjecture | Quanta Magazine
Quanta Magazine

Mathematicians Harness Randomness To Crack a 55-Year-Old Conjecture | Quanta Magazine

After a long hiatus, the problem, which was likely inspired by juggling, has finally been resolved by a group of young mathematicians.

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Daniele de Rigo @dderigo@hostux.social
· 3w ago
Replying to

22/ On learning gaps even during school age, an #OECD report (Programme for International Student Assessment, PISA) [7] may offer some clues:

  • Premise: "In #science, #reading and #mathematics, 20 points represents the average annual pace of learning of 15-year-olds in countries that participate in PISA"

  • Although a "complex" relationship, on #science learing a clear point: "non-users of [ #genAI] chatbots for specific schoolwork tasks outperform their peers in most countries and economies"

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Daniele de Rigo @dderigo@hostux.social
· 1mo ago
1/ Commentaries by @tao@mathstodon.xyz on #generativeAI use in #mathematics noting research mechanisms that may go beyond the specific field [A] https://mathstodon.xyz/@tao/117207849921390904 [B] https://mathstodon.xyz/@tao/117237320796901560 From [A]: the process of starting with one idea, "discovering the precise obstruction preventing it from working, adjusting the [idea] to (partially) eliminate that obstruction, and then iterating, would almost certainly reveal important new insights [...] that would not have been feasible to obtain by other means"
Quoting
Terence Tao
@tao@mathstodon.xyz
I wrote recently about how the collection of good, fruitful open problems is now being mined in a non-renewable fashion, leading to the potential scenario of these problems becoming scarce. This may seem unintuitive at first, since the set of possible problems one could ask is infinite. Perhaps the following analogy can help: a country or region can suffer a critical shortage of drinking water while simultaneously being surrounded by a massive ocean. One can easily generate any number of open problems in mathematics at will, such as working out the 10^10^10th digit of pi. But the vast majority of such problems are not worth focusing attention on: they show no particular propensity to reveal any further insights or connections to other questions, or may either be too easy or too impossible relative to known techniques to learn anything from the exercise. (1/4)
Open quoted post
mathstodon.xyz

Terence Tao: "A concrete example of how AI advances in solving …" - Mathstodon

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