This may seem like a strange question, but my question is more along the lines of trying to figure out how people were able to 'discover' the formulas which have shaped our understanding of the universe we live in.
I think I can understand why
Distance = Speed * Time,
effectively 'times' will 'grow' one variable by another variable
but I can't conceptualise why the speed is found by dividing distance by time, it seems like saying:
I can discover the speed an object was/is moving by shrinking the distance an object has moved by the amount of time it took to move that distance.
It doesn't seem to make sense to me, but Galileo(?) must have had a way to conceptualise these variables in a way which enabled him to realise they are able to be joined this way.
I am a strong believer that if teachers are able to conceptualise these things in a 'common sense' kind of way, it removes the strain on students to learn formulas parrot fashion, which never really helps them learn WHY something happens the way it does.
Any helpful way to conceptualise this would be really helpful, maybe the 'why' is only taught to smart people at phd level!