Jun 30, 2023 15:44
11 mos ago
42 viewers *
French term

écriture en ligne

French to English Science Mathematics & Statistics
Traduire une écriture en ligne en schémas de calcul (et réciproquement) et effectuer ce calcul. Règles de priorité : dans une écriture en ligne, une opération entre parenthèses est prioritaire, en l’absence de parenthèse la multiplication est prioritaire sur l’addition et la soustraction.

Discussion

Althea Draper Jul 1, 2023:
@Mpoma
I understand that the source text refers to translating the schematics, but I couldn't draw the schematic examples that were in the test paper so I did the wording ones instead. Whether it is translated from words or from the schematic, the 'écriture en ligne' is still of the form e.g. (3x100) + (5x2000)
My second link shows where this fits with the year 6 curriculum and here are other links with "Traduire une écriture en ligne en schémas de calcul (et réciproquement) et effectuer ce calcul." - the same as the source text and relating to teaching 11 and 12 year olds arithmetic

http://plateforme.education.mg/bibliotheque-numerique/plugin...

https://www.education.gov.mg/bat/BAT_6eme.pdf (page 33 of 94 describes exactly what an 'écriture en ligne' is)
Daryo Jul 1, 2023:
You do get "schémas de calcul" in few other contexts, but none other would have any resemblance to a secondary school exercice or exam.

Don't know what would be the usual name for it, but it's in effect "a graphical / schematic representation of the calculation algorithm" for some mathematical expression. As opposed to the same calculation being shown as a string of symbols on one single line (= écriture en ligne).
Daryo Jul 1, 2023:
If this question is about a secondary school exam as it probably is, given that university students shouldn't need to be reminded of the priority of mathematical operators, then this Althea Draper's reference would be very relevant:


https://senprof.education.sn/ADEM/Mathématiques 6e/activitie...

especially compared with this "Annale du Baccalauréat"

ANNALE CORRIGÉE EXERCICE
Schémas de calcul

https://www.annabac.com/annales-bac/schemas-de-calcul

Mpoma Jul 1, 2023:
@Althea Yes, I put your first link in my answer.

If this is the context, which seems likely, it is indeed about switching between mathematical formulae and the block diagram equivalents. There's no evidence that "taking a sentence which describes a calculation and writing it as an equation" ("BODMAS"), i.e. Exercise 4 in the Senegalese exam, has anything to do with it. The ST talks about règles de parenthèse and multiplication taking precedence, so it's clearly not about puzzles written in ordinary language.

Plus, due to the lack of context, we can't really know, as I said, whether this is about algebra or simple calculations for kids (although the latter seems more probable).
Althea Draper Jul 1, 2023:
I think it refers to the types of arithmetic questions in the paper in this link. It is asking the pupil to take a schematic of a calculation and 'translate' it into a mathematical equation (and vice versa), or take a sentence which describes a calculation and write it as an equation (and vice versa).

https://senprof.education.sn/ADEM/Mathématiques 6e/activitie...

So, for example, "Un élève de la classe 6ième achète 3 stylos (rouge, vert, bleu) à 100 f, l'un et 5 cahiers de 200 pages à 2500 f." becomes (3x100) + (5x2000).

I don't know if there is specific name for this type of equation or expression in English. We just called them BODMAS equations when I was at school.

https://iathies.com/wp-content/uploads/2021/07/phares-maths-... (page 6)
Mpoma Jul 1, 2023:
@Asker More context pur-leaseeee!! Is this an exam paper? Do these écritures en ligne appear to be equations or simple formulae (as far as you can tell), etc. ...
Daryo Jun 30, 2023:
No "écriture en ligne" is about something entirely else. 101% sure of that.

Whether you use the prefix notation, the postfix notation or the usual infix notation has nothing to do with writing fractions as one number above the other on two lines or as one number after the other on the same line.
Yassine El Bouknify Jun 30, 2023:
Infix expressions (notation) When you write an arithmetic expression such as B * C, the form of the expression provides you with information so that you can interpret it correctly. In this case we know that the variable B is being multiplied by the variable C since the multiplication operator * appears between them in the expression. This type of notation is referred to as infix since the operator is in between the two operands that it is working on.

https://panda.ime.usp.br/panda/static/pythonds_pt/02-EDBasic...

Proposed translations

+2
2 hrs
Selected

in-line formula

(3.2 x 65,45) / 21,78 is an in-line formula, as opposed to

3.2 x 65.45
_________
°°°21.78

--------------------------------------------------
Note added at 2 hrs (2023-06-30 18:15:01 GMT)
--------------------------------------------------

Or 'in-line equation' as opposed to 'display(ed) equation'.

LATEX allows two writing modes for mathematical expressions: the nline math mode and display math mode:
• inline math mode is used to write formulas that are part of a paragraph
• display math mode is used to write expressions that are not part of a paragraph, and are therefore put on separate lines
https://www.overleaf.com/learn/latex/Mathematical_expression...



Peer comment(s):

agree Daryo : I would've called it "one-line formula", but that's definitely that - the whole formula written on one single line! (like in programming languages) // Maths predates Latex software *by millennia* - Latex's terminology "displayed" is completely irrelevant.
1 hr
agree philgoddard
2 hrs
agree Jennifer Levey : The 'Règles de priorité' (mnemonic 'PEMDAS') are explained here: https://en.wikipedia.org/wiki/Order_of_operations
6 hrs
disagree Mpoma : Ingenious, but see my answer. I can't see a context in which someone might be asked to "translate" from/to one form of Latex representation to another!
14 hrs
neutral Althea Draper : I don't think this would be a term used by 11 and 12 year olds though. See Mpoma's first link and my second one in the discussion box.
16 hrs
Something went wrong...
4 KudoZ points awarded for this answer. Comment: "Selected automatically based on peer agreement."
-1
4 hrs

On the internet/electronic/on line writing system

Peer comment(s):

disagree Daryo : nothing to do with the internet
2 hrs
Something went wrong...
-1
17 hrs

algebraic equation

See here https://senprof.education.sn/ADEM/Mathématiques 6e/activitie...

... this shows what's being talked about: an algebraic equation can be represented as a series of symbols and operators (+, /, ^, etc.)... or it can be represented as a funny bunch of "blocks" and "arrows"...

So what's the English for this latter thing?

Here https://web.mit.edu/2.010/www/psets/hw2_dir/tutor2_dir/feedb... : "block diagram fundamentals".

Concerning the hypothesis that this is about Latex: this is an ingenious idea, but there are 2 things which mitigate against that. Firstly, there is no suggestion in the field (or the ST, or something which the asker may have said) that this is an IT context.

More importantly, though: in what possible context might someone be asked "to translate from an inline to a display mode (or vice versa)" in an educational context. Whereas you can see from that Senegalese exam paper that my suggestion fits that context perfectly.


--------------------------------------------------
Note added at 17 hrs (2023-07-01 08:53:27 GMT)
--------------------------------------------------

The reader is also being asked to "effectuer ce calcul". This doesn't as such definitively rule out the "Latex hypothesis", but it certainly reinforces the notion that this is probably a maths exam.

--------------------------------------------------
Note added at 17 hrs (2023-07-01 09:01:21 GMT)
--------------------------------------------------

Actually, this may be wrong: in that Senegalese exam paper, these are not *algebraic*, and neither are they *equations*. They are more like "single line formulae" (NB you can't use "linear" here: its meaning is too specific).

The trouble is that the ST is not specific enough for us to know whether these are "mathematical formulae" or "algebraic equations". From the MIT link we can see that these forms of alternative notations are indeed used with complex equations.
Peer comment(s):

neutral Althea Draper : This looks to be part of a year 6 (for 11-12 year olds) curriculum. So I agree with your last note here - see my links above. We just called them BODMAS equations but I don't know if there is an official term for them.
2 hrs
Not really: there is no evidence of puzzles written in ordinary language being involved.
disagree Daryo : "single line formulae" could make sense, but this ST is not about "algebraic equation" - they get "solved" NOT "calculated", as in "... et effectuer ce calcul"
4 hrs
Yes, that's a fair point.
Something went wrong...
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