• Sorry, your realm does not extend into English

    Sorry, it most definitely does when it comes to how English is used in Maths

    It’s tangential to mathematics, but it isn’t mathematics

    The way we say Mathematical things is 100% Maths

    There’s absolutely nothing you can improve on?

    I can improve some badly written textbooks. Probably every Maths teacher can.

    Has a teacher ever been wrong (or just uninformed) about a topic in a subject they teach?

    Yes, ones who haven’t looked in the textbook which seems to be the case with a lot of unqualified U.S. Maths teachers

    Does every English teacher know the content of every book?

    Probably the content of every book they teach 🙄

    No one knows everything about a subject

    Teachers do. It comes from teaching the same thing year after year after year

    Anyway, this isn’t your subject!

    Yes it is! 😂

    This is English, not math

    It’s Mathematical English

    Do you see any formulas, proofs, or equations in these comments?

    Do you see words in Maths textbooks? And the definitions of them? 🙄

    What don’t you get?

    Why you keep insisting that Maths textbooks are wrong

    It being in an algebra textbook does not limit it to the realm of algebra

    And NOT being in any arithmetic book means it’s not part of Arithmetic 🙄

    Numbers are in that textbook too

    Yep, both Arithmetic and Algebra, as opposed to a(b+c) which is only in Algebra books.

    If I’m wrong, I’d love to see the citation

    Says person who can’t cite any Arithmetic books it’s in 🙄

    Anyway, unless you provide that proof at the end there

    Already gave it in the previous post… which you didn’t look at 🙄

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      5 days ago

      OK, I said I was done, but one last one.

      And NOT being in any arithmetic book means it’s not part of Arithmetic 🙄

      Here is a distributive law lesson for grade 4. Here’s another, and another. My search was just “when is the distributive law taught in schools”. These were the first results.

      It being used in an algebra course doesn’t mean it’s in the domain of algebra. Algebra is also used in calculus, but algebra isn’t the domain of calculus, correct?

      It’s algebra when it’s using variables, and you’re solving for an equation. 2(3+4) is arithmetic. 2(x+4)=0 is algebra.

      Arithmetic: a branch of mathematics that deals usually with the nonnegative real numbers including sometimes the transfinite cardinals and with the application of the operations of addition, subtraction, multiplication, and division to them.

      Algebra: [A] branch of mathematics in which arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers.

      Note: Algebra includes the use of arithmetic. It being used in algebra does not mean it is part of algebra.

      • Here is a distributive law lesson for grade 4

        That’s the Distributive Property actually. The dead giveaway is the multiply sign, as in “The Distributive Property of Multiplication over Addition”. There’s no Multiply sign in The Distributive Law, a(b+c)=(ab+ac)

        Here’s another, and another.

        Also The Distributive Property. “The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately” - no, the Distributive Property says that.

        These were the first results

        Welcome to the problem with using the internet and not looking at Maths textbooks

        It being used in an algebra course doesn’t mean it’s in the domain of algebra

        It being taught in Algebra most certainly does mean it’s in the domain of Algebra

        Algebra is also used in calculus, but algebra isn’t the domain of calculus, correct?

        It’s all Algebra. You can’t do Calculus if you haven’t learnt Algebra yet, just like you can’ do a(b+c) if you haven’t learnt Algebra yet.

        It’s algebra when it’s using variables

        and the rules of Algebra, like a(b+c)=(ab+ac). Arithmetic doesn’t have any rules that aren’t in Algebra, but Algebra does have rules which aren’t in Arithmetic.

        and you’re solving for an equation

        I can solve 1+1= without using Algebra

        2(3+4) is arithmetic

        Nope, it’s Algebra

        2(x+4)=0 is algebra

        Yep, now substitute x=3 in 2(x+4) and tell me what you get 😂

        the application of the operations of addition, subtraction, multiplication, and division to them

        Yep. Notice how Distribution was not mentioned?? 😂

        and formal manipulations

        Yep, such as a(b+c)=(ab+ac)

        rather than specific numbers

        Soooo, a+b is Algebra, but 2a+3b+4 isn’t Algebra, because it has specific numbers in it?? 😂

        Note: Algebra includes the use of arithmetic

        Yep, it sure does.

        t being used in algebra does not mean it is part of algebra

        NOT being used in Arithmetic means it’s not part of Arithmetic. 🙄 You know we’ve only had Brackets in Maths for 300 years, and that Arithmetic is much older than that, right?