What "I'm bored" can mean:
I need something and I don't know what it is.
I'm lonely and want you to spend time with me.
Life has gotten monotonous around here, let's do something new!
I'm not sure what I want to do next. I could use some ideas.
I'm feeling a little down and could use a distraction right about now.
I need a change of scenery.
I wish my friends lived closer. I miss them.
I'm between major interests/hobbies right now. I need a new one.
I've learned all the interesting stuff around here. Show me something new.
I'm not getting enough exercise, and it's boring to do it by myself. Let's go play outside together.
I need something to do that makes me feel purposeful and important.
What "I'm bored" almost NEVER means:
I don't appreciate the hundreds of dollars worth of toys and games I have.
I am oblivious to all the stuff there is to do right in front of my face and need you to point it out to me.
I can't do anything on my own. This is your cue to give me orders.
I am volunteering to do any random household chore you feel like assigning, no matter how tedious, boring or lonely it is.
Since I'm not sure what I want to do, I am willing to do anything. Just blurt out an activity and I'll happily do it.
I should be able to completely entertain myself by now, independently of other people. Since I can't, I am immature.