I have this main character who is very academically gifted but has a bunch of problems.
For example he is: Anti-social, paranoid, ignorant of the people around him, very violent, short tempered, and has a certain disdain to life in general, human or otherwise.
Now throughout the story he is shocked and surprised to see that things are not as they are.
For example when he joined the magic school the headmaster there, a man respect in the whole world, choose him to be his ward. He then thought that the position was insulting and the fact that he practiced less magic than his peers made him ostracized and a lesser wizard. This is absolute blindness on his part as the only reason he was chosen was because he has the potential to be a great wizard and the headmaster wanted to tempered his character and teach him magic under his guidance.
When he later discovers this he is shocked and thinks that he peers must be joking. The fact that he practiced more intense and higher magic was lost to him and he always thought he was a lesser wizard. Obviously he is really blind in many things. He is a teenager after all.
This is just an example.
Now to the story. Well. At a certain point he travels with a group of other students in search of their master. As the journey continues he is constantly put in unfamiliar territory of human interactions and finds himself to be wrong a lot.
So. Over the course of those long days of riding and camping and talking and fighting I had his character change a little. Notice a little.
The problem is I'm worried that I did not focus enough on the changes in the chapters. So. Do I need a lot of inner thoughts on that? Can the changes be more subtle where from chapter 1 to chapter 7 he starts calling the other students friends and becomes more aware of his actions?
This includes a romance subplot and overall more of coming of age story and becoming more mature, if only in actions, story.
I keep thinking of major events. There is a couple of them and they are given focus. But I also like to tone down this and have him overcome his flaws with time, and incorporate into the group and become less of an awful person without calling to much attention.
So. Instead of harsh or snarky remarks he starts to become nicer, instead of suggesting murder on the first opportunity he would listen to others plans...etc. All without calling out this changes.
I know this might be a little bit opinion based so if you want to consider it to be what is the prevailing thought or what are the most important rule about character changing, showing it big time or subtly, or something more concrete then is is basically the same goal.
Ultimately I have no problems about any changes. All writing is to accomplish a goal and anything that does not help that is extra weight I'm willing to dispose of.