I don’t like these examples because IRL nobody does things this way.
Try actual problems that require you to use these tools and the inter-relationships between them, where it becomes blindingly obvious why they exist. Calculus is a prime example and it’s comical most students find Calculus hard because their LA is weak. But Calculus has extensive uses, just not for doing basic carb counting.
Honestly all these cute websites give people a false sense that they're actually learning something. The only way to learn this stuff is get one of the million good LA books out there and work through the problems. But that's hard, so people look for shortcuts.
Yeah I think when students actually hit Calculus-level related rates, a small dim light starts to glow. Obviously it only gets brighter the less you have to hold onto and the more you have to mathematically present something that you are trying to reason about that all the tools start to make sense, the relationships are asking you “is this true in my case or do I need to take a step back?” and so forth.
I don’t have an axe to grind against the site I think it’s fine, but if someone wants to learn LA, a college level course followed by an intense grind of word problems and having to work backwards and forwards and finding flaws in answers might be a better way to develop the noggin for it. Just my 2c.
Try actual problems that require you to use these tools and the inter-relationships between them, where it becomes blindingly obvious why they exist. Calculus is a prime example and it’s comical most students find Calculus hard because their LA is weak. But Calculus has extensive uses, just not for doing basic carb counting.