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46 posts · Last used 17h

💡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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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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Tommaths (he/him) @TeaKayB@mathstodon.xyz
· 2w ago
RE: https://mathstodon.xyz/@TeaKayB/117336808723747844 My Polish language copy of *The Mathematicians' Library* will soon be winging its way to a school in Leicestershire because a maths teacher thought it'd be great for some of their students whose first language is Polish! This is exactly the kind of use I'd hoped these non-English versions would get, and I have three more left to send (1 *Japanese*, 1 *German*, 1 *Spanish*) - for free (including UK postage) - to anyone who would make similarly good use of them. Send me a private message if you'd like one of the remaining three (specifying which language, of course, and what you intend to do with it)! [And whether you're requesting one or not, a share would be most appreciated in order to help them find their new homes!] #MathsToday #Maths #History #Books #MFL #bookstodon
Quoting
Tommaths (he/him)
@TeaKayB@mathstodon.xyz
I've got one copy of *The Mathematicians' Library* to give away in each of four languages: Polish, German, Japanese, and Spanish. I'm offering them for free (including UK postage) & I'd like them to go somewhere that'd make good use of them. If you think *your* organisation or group would find one of these useful or interesting, please drop me a private message, tell me which language you'd like, and how you'd use it! Otherwise, *please share this offer far and wide* so that it can reach someone who would appreciate one of them! I'm not looking for suggestions of people/groups to get in touch with: I'm looking to give them to people who are interested enough to request a copy directly! #MathsToday #Maths #History #MFL #Books #bookstodon
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Tommaths (he/him) @TeaKayB@mathstodon.xyz
· 2w ago
I've got one copy of *The Mathematicians' Library* to give away in each of four languages: Polish, German, Japanese, and Spanish. I'm offering them for free (including UK postage) & I'd like them to go somewhere that'd make good use of them. If you think *your* organisation or group would find one of these useful or interesting, please drop me a private message, tell me which language you'd like, and how you'd use it! Otherwise, *please share this offer far and wide* so that it can reach someone who would appreciate one of them! I'm not looking for suggestions of people/groups to get in touch with: I'm looking to give them to people who are interested enough to request a copy directly! #MathsToday #Maths #History #MFL #Books #bookstodon
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Tariq @rzeta0@mathstodon.xyz
· 2mo ago
What's the correct interpretation this statement? "There exists a positive number 𝑥 such that for every positive number 𝑦, we have 𝑦²=𝑥." Is it ∃𝑥,∀𝑦[𝑦²=𝑥] or is it ∀𝑦,∃𝑥[𝑦²=𝑥] My (beginner) vote is for the first one ∃𝑥,∀𝑦[𝑦²=𝑥] #maths #quantifiers
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Fish Face @FishFace@ioc.exchange
· 2mo ago
Users from the #Netherlands - do you remember, or have you heard of, the mnemonic "Meneer Van Dalen Wacht Op Antwoord"? I have been googling for information about this but am looking for more sources, preferably original textbooks from the 20th century. I can find quite a few references to it but only *after* it was already phased out. Let me know if you remember, are interested and/or can help! I must confess up front I do not speak #dutch ! #nederland #wiskunde #math #maths #mathematics
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Paysages Mathématiques @paysmaths@mathstodon.xyz
· 2mo ago
"Before the introduction of the Arabic notation, multiplication was difficult, and the division even of integers called into play the highest mathematical faculties. Probably nothing in the modern world could have more astonished a Greek mathematician than to learn that, under the influence of compulsory education, the whole population of Western Europe [...] could perform the operation of division for the largest numbers." – Alfred North Whitehead (1861–1947) #quote #mathematics #math #maths
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