"Timmy for the last time, we are NOT using linear algebra to solve this", as Tim looks dejected and another Math teacher makes a students hate the subject.
Linear Algebra was the best one that fit, but I love the idea of a 6 year old transcribing hundreds of pages from Principia Mathmatica as their answer.
"To make an apple pie from scratch, you must first invent the universe" ahh solution
While I’m fairly certain the answer the teacher is looking for is “Take 1 from 2 and add it to 4 to make the equation 5+1=5+1”, the idea of sending back a truly monstrous proof as a first grader is way more amusing.
This is the type of question that will destroy a 1st grader’s tenuous confidence in their math skills, causing them to hate math for the rest of their school career.
I think one valid answer could be "No".
The wording of the question means that the answer "no, I can't. This is because I didn't listen in class." doesn't just deserve full marks, but is also a testament that the student thinks like a mathematician.
Have three volunteers. One volunteer will evaluate the left side of the equation. A second volunteer evaluates the right side. The first two volunteers whisper their answers simultaneously in opposite ears of the third volunteer. The third volunteer then says true, if the answers were the same and false, if they were different.
Look again at the wording: "no, i cant, because the order and value of natural numbers is a convention within this field. It can be considered axiomatic and axioms cannot be proven."
If a first grader wasn't sniffing glue before reading this question, they sure as hell are going to start lol.
"fairly trivial, does not need explaining" while pointing to ancient runic texts found in the cave of cthulhu
Next, Timmy goes on to show that 4+2 = 5+1 implies the Riemann hypothesis and wins a Fields Medal.
The question is clearly checking whether the students can apply the Peano axioms.
I feel like this probably shouldn't be an exam question but an in-class test. This is the kind of thing where you either need a VERY flexible measure of "correct" that relies on the marker actually deciding subjectively whether an extremely broad possible range of answers manage to demonstrate that the children have in fact understood the idea or at least show some capacity to do so, or it needs direct engagement between the teacher marking the test and the students giving the answers.
This is why articulate language is NECESSARY for standardized testing. There needs to be only one way you can interpret the question, otherwise your “standard” is meaningless Sbl is a scourge
5:20 " and plus one is plus one" You got to proof for that buddy?
in first grade, I probably would've wanted to answer with "No, I can't prove that 4+2=5+1 is true without solving both sides of the equation because I'm a 1st grader, are you stupid?" or "I don't know, can I?"
[8:49] Well played :) I feel like the most intuitive answer for this question is 1+1+1+1+1+1 = 1+1+1+1+1+1. I'd bet it's what the question is actually looking for as well but I'm 100% with you that counting to know that each side has six 1s is the same as evaluating either side. Visually pairing them up across the equal sign is probably the most complete solution, given the wording. But damn(!) is that ever a nebulous question to give a 1st grader. I think the concept is great but it's so unclear what they're looking for exactly. You should never have to guess whether a solution is valid simply because the wording is trash.
You wanna tell me a first grader will even know the concept of an equation? First grade is when they learn to read, write and draw numbers at all.
@WrathofMath