opsunit
My overall experience was that they were a very boring song with terrible lyrics. I can't ever say that any meaning clicked especially. The teacher called out the first part of the verse and I "sang" it internally and hopefully got it right. Having gotten through that it was gone by lunchtime in time for a different set of words to the same song next week.
I tried again about 30 years later as a adult and had much the same experience. You might as well have been asking me to remember items on a tray.
How do you get your students to get them to stick?
As somebody who is numerically essentially blind I'm not only incredibly jealous and in awe of most of the comments in this thread but also utterly perplexed by the above. How does that even come to mind that 6 is a good starting value? Do you people just intuit this stuff or do you rapidly run through the options? If you're asking me to come up with something that when multiplied by itself is something near 33 then you're in for a long wait.
There's another comment in this thread:
>Everyone generally knows the perfect squares up to at least 12, and then for bigger values, you can use even powers of 2, which I assume people also know.
Do they? Jeez.
Not only did I have source control I had flow diagrams of the entire system for all points in the chain. My code reviews had me doing line-by-line justifications. I wrote tests.
Just because the technology and practitioners are old it doesn't mean they don't know what they're doing.
Generally they invented whatever "you" are reinventing the first time around.
Put another way: one is guided towards making operational good choices rather than being left to discover them yourself. This is a value proposition of public clouds since it commoditises that specialist knowledge.
I know it can scale to massive volumes without interaction from us.
I know it'll be available when our infrastructure isn't. By being a third party we can be confident that any action on our part (such as rolling an SCP out to an AWS org, despite unit tests) won't impact the observability we rely on to tell us we've screwed that up.
I can plug 100s of AWS accounts and 10s of payers into it and I don't have to think about that in terms of making self-hosted infrastructure available via PrivateLinks or some other such complication.
I pay mid six-figure sums annually for these things to "just work". If you folks believe I can achieve this functionality on a per-seat basis I'd be interested in saving those six figures.
The single whole-bank migration I was involved with was zSeries to zSeries.
This is where the challenger banks really have an advantage. They're not saddled with the baggage of an overnight batch run of JCL decks and Data Sets to arrive at what their regulators consider the reconciled position of the bank.
"Get the Britneys in, I'll be back in a minute - I'm off for quick Brad".
My French teacher fully explained the grammar most of which passed me by since, certainly in my case, one doesn't really rationalise their own language in terms of technicalities.
My German teacher just pitched up on day one and spoke nothing but German. Two years later I was absolutely none the wiser. I could quite honestly have been listening to white noise.
That anybody "picks up" a language is something I am amazed by.
"They" attempted to teach me both French and German and in both cases I quite literally had no idea what was going on. A* pupil in English and English Literature.
I am sure it is different today but certainly in the '80s and into the '90s you could arrive in senior school with perfect English and no idea why.
The shocker for me was that I'd spent my whole short life up until that point just correctly intuiting all of the weird grammar modifications and then suddenly I couldn't. Any attempt to explain went right over my head as the framework to explain them was just missing.
(yes: the URI says February 5th whilst the article says March 5th!)