So from what I understand, you're trying to teach her to balance herself? Is she not broke to ride yet?
If she is, I really think that it would be benificial to teach her to use her back end for impulsion, get that under her, and loosen her shoulders. Frame comes from back to front; not front to back- and so if you teach her to push from her rear, she will discontinue the 'plodding' movement that you're trying to correct. She will be lifting herself up and out with each step, rather than stepping out and carrying the rest of her body with her. Teach her to reach into the bit for contact, and I'm fairly certain with these two things, she will become more balanced and responsive.
Again, these comments are simply questions and suggestions and by no means do you have to listen to us, but I do think it would do the both of you good. She honestly does seem like a cute horse; great coloring. Is there a specific thing you're wanting to do with her?
She has had 30 days professional training -- that is all in her 5 years of life. My trainer and I have been working with her for 30 days now. She is still very green. She was broke to ride but nothing was finished at all -- she had a good foundation with training but it wasn't very much at all.
We have been working on a number of things in a number of different ways (this is just ONE of the things we are doing). She wouldn't even lunge on a line when we first got her. We have come a long, long way in a very short amount of time. She needs to build muscle and learn to balance. She leans a LOT, especially to one side (because the other side is stiff...which makes sense, if you are allowed to be left handed for your whole life using the right side is going to be more difficult). She has gotten better with driving with her back end underneath herself (yes, this is something we are working on). We know she is under herself because when we ask for a halt while at the canter, she often slides (she could not do this if she wasn't under herself). She drives very deep... so much so that she almost clips. I took some videos of my trainer the other night riding her...check those out and you can see the way she moves better.
It has also been my observation with horses that when their head is level with their withers that they move in a more collected manner (of course this is not ALL of what collection has to do with, but in her case it is one of her issues). We want her neck to be stretched out & level and we want her to be driving from behind. We are working on all of this stuff -- this is, again, just one exercise that we use (we actually JUST started using this...this video was her 4th time). I've seen this method used many times before. If you do not appreciate it for anything else, maybe you can appreciate that it is engaging her mind and making her think about what she is doing, rather than just doing it.
She is extremely responsive -- very light. She responds to seat & leg wonderfully. This was not how she was in the beginning. Well, she was always responsive and sensitive to pressure but she is starting to understand exactly where she needs to be and is building the muscles to allow her to be there. She came to us with sunken in chest muscles....and we just noticed the other day that they are now actually visible muscles. She is making progress. She also has almost no shoulder to her and a HUGE rear end -- she tends to use her rear only and that throws her off balance. As I said, I am working with a trainer who has worked on hundreds of horses and if she did not believe that this exercise was beneficial she would not be using it. To each his own.
As far as what I am going to do with her, right now I just want to get her up to speed as far as basic walk/trot/canter. In the summer I plan to show her in local shows western and english pleasure. After that, I will decide which specific discipline I would like to get into. She could really go in any direction, so it's just a matter of me making a decision. I got her mainly to have fun and to have something to work on but what the future holds exactly I do not know.