In our Mathematics Investigation, we were given this task: "Re-arrange the 24 cans of beans in three different ways to the one shown [they were all lined up in a row] and give five advantages and disadvantages for each."

Now I humbly ask just what is the point of that?!

It seems like an utterly useless thing to do. They didn't even specify what situation the cans are in, which would give them advantages and disadvantages, and so on. I mean, if you saw a bunch of cans in a line, the adavantages of such a phenomenon would vary wildly depending on the context with which you saw them. Like "Oh, great, those cans are in a line in my cabinet, now I can easily arrange them in order of use-by date!" Or "Noooooooo! The bus is rigged to explode if anything disrupts it's speed, these cans in the middle of the road are going to set off the bo-AAA!"

Where is the logic? How does it aid our learning?

One arrangement could be a pyramid shape. Now, this has some advantages, like

Now, another arrangement could be a random scattering of cans. This has five disadvantages:

I mean, honestly, what kind of open-ended question was that? They were asking for it! After all, what are the advantages of anything? What are the advantages of living in a house made out of cans? What are the disadvantages of failing your maths assignment? And who really cares? Just what is the purpose behind all this?


In response, my English teacher wrote back:

"Does anything have a purpose? (Other than the one we arbitually describe?)"

I rather liked having her as a teacher *grins*

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