Ok, I will be using attachments for texts.
I can't really teach anyone, I can only share my own uncertain road back to reading ancient texts. In the example I gave you, there are terms that I don't remember what they mean anymore. I seriously need to study syntax and grammar.
Here is what I remember though.
The first thing to do, after you read the text a couple of times to see what you understand, is to look for verbs that you underline and mark Ρ for ρημα. Then circle all little words that introduce any kind if sentence, γαρ, διοτι, etc. Then you try to find the sentences themselves. I used this sceme[ΚΥΡΙΑ (ΔΕΥΤΕΡΕΥΟΥΣΑ < δευτερευουσα προταση> ΠΡΟΤΑΣΗ) ΠΡΟΤΑΣΗ]
and so on, using whatever markings you feel comfortable with. It may be less complicated but you get the idea. You specify what each sentence is, ειδική , αιτιολογική etc.
Then you use any way you want to mark objects, subjects, participles and their kind/subjects etc. Tis way you work your way through the entire text.
At first (this is where I am now), maybe you will need your syntax book every step of the way. If you have to decide what kind of a genitive this is, then you read the rules for genitive. So you learn, and of course it's the meaning you are really looking for, which you think about every step of the way. That's my learning process, but others might prefer another.
I found this onlinehttp://www.google.gr/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&ved=0CCwQFjAA&url=http%3A%2F%2Fi-filologos.gr%2FMETHODOLOGIA%2520ANALYSIS%2520AGNOSTOU%2520THEMATOS.doc&ei=pXlfUtTMBKOM4ASMmoG4CQ&usg=AFQjCNEED8nYUY7u1YR2GNj13X7YmB3RFQ&bvm=bv.54176721,d.bGE
which opens a doc file: ΜΕΘΟΔΟΛΟΓΙΑ ΑΝΑΛΥΣΗΣ ΑΓΝΩΣΤΟΥ ΘΕΜΑΤΟΣ ΣΤΑ ΑΡΧΑΙΑ ΕΛΛΗΝΙΚΑ, for students. So I guess they still use the same technique.
It's not your fault you don't understand greek handwriting, by the way!
The notes are something like this
γεν. διαρ.= γεική διαιρετική
επιθ. πρ. = επιθετικός προσδιορισμός
εμπρ. του μεσου= εμπροθετος προσδιορισμός του μεσου
and so on.
In short, these are short notes that each student uses in order to mark the syntax, and they are up to you. You don't follow a stenography of some kind. Just your notes. And you are supposed to to that on the page.
The grammar analysis comes after.
I am sorry I can't be more scientific about this, and if there are more questions I'll try to answer them!
Thanks for all the encouragement, I can really use it.