My understanding of "modern TV" is that it is essentially that the story should be driven by the characterization, rather than the other way around. So far, however, I'm seeing the inverse from discovery - that it's essentially all plot, with no character development at all.
I think that it takes a concerted effort to not see the obvious character development for Burnham even after just 4 episodes. She committed mutiny in order to save her captain and her ship. She then was unable to secure the taking of a valuable prisoner which resulted in the death of her captain. And as 1st officer, protecting her captain was Burnham's primary responsibility. Following all this, she is stripped of rank and tried and convicted of formulating a mutiny and sentenced to life in prison.
While in route to the Dis, when the shuttle gets into trouble and the other prisoners are frantically trying to save themselves, Burnham just sits there, obviously greeting death with indifference. When Burnham comes aboard the Dis, she is showing the effects of all that has occurred in the last several months. This is a far cry from the confident, brave, character we met on the desert planet with Georgiou.
If you have watched every episode I can't believe you missed all this. Your o/p in this thread is an indication that perhaps you may not have grasped what you saw for what it was. I'm not sure of the answer here.
Driven how? What is specifically in her personality or psychology that is dictating her actions?
Guilt, which is causing her to doubt herself. This is the reason she initially didn't think she deserved to stay aboard the Dis. Curiosity, which is what caused her to break into engineering to discover the spores. Lorca was monitoring all this and it helped to further convince Lorca that Burnham was right for Dis. Burnham's subsequent decision to stay aboard was, as others have mentioned, due to her desire for atonement. Her decision to stay, led directly to the saving of the miners at Corvan2 as she was the one who discovered how to get the spore drive going. BTW, this also means that Burnham is a hero.
Again, I understand "show, don't tell" is now dogma (and misinterpreted - it was originally to cut down on flowery scene description in novels), but given Micheal has no friends on the ship (or an
ywhere) she doesn't actually get into conversations about her life history, feelings, dreams, remorse, etc. So her character moments often boil down to staring into the distance when something is going on.
Sometimes staring into the distance is the most appropriate and effective way of "showing" us what the character is feeling. I'm referring to Burnham's best character moment of the series so far (even better than her scene on the shuttle), her listening to Captain Georgiou's will and then, most importantly, opening the container to find the Phillipa's beloved family telescope. No words were required and thankfully, the writers knew this. What we may learn that this scene represents a re-dedication of sorts, on Burnham's part. But we'll have to wait and see about this.
You know, it occurs to me that your posts indicate you might not quite understand character development or, 'show don't tell', as well as you think you do. I could be wrong, of course.