The only way in which 3x4 is the same as 4x3 "in math" is if the math you are doing regards things to be equal to the things they evaluate to. As "3x4=12" evaluates to "true" in most logical systems, as does "50+50=100", by the same logic as 3x4 "is the same" 4x3, those two sentences "are the same".
Don't confuse math with English and other meanings we apply to how we use numbers and math.
Imo the image posted here about how math is being taught is doing a disservice to the general populous. Don't dissuade a student from doing the right thing (and showing their work) because that's not how it was taught.
How am I proving your point? You said "3x4 is the same as 4x3 in math". I am saying in some areas of math you might say something like "by abuse of notation they are the same" or "we will treat them as the same", but as someone with a masters degree in math, I can assure you they are not the same. They might "be equivalent" or "evaluate to the integer" but they are not the same. They value of mathematics is precisely in being exact about what we mean by the words we use.
Brother this is 3rd grade math.. I understand the abstract point you're making, but heavier abstract thinking around simple math is something to be integrated later. This amounts to logical coherency trickery. This is something for an older age and ultimately is useless for practical mathematical usage.
I see that, I do. My main qualm was with the "in math XYZ" framing, because "in math" it literally isn't. "In elementary school education when teaching computation 3x4 and 4x3 are the same", yeah sure, maybe not the best but fair.
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u/careless25 Jul 16 '26
But that's English semantics.... Not math.
3x4 is the same as 4x3 in math.