Hi Cat,
I have some experience. Our two are in the same class (kinder NSW) at a school with only two kinders, and I teach the other kinder (not a situation that the school has ever been in before I don't think?)... I teach them for at least one lesson a day generally (or am at least in the room for at least one of their lessons per day) as we team teach some things (or sometimes mix and separate into two 'graded' classes so I sometimes teach them alone - ie. without the other teacher in the room - too)... plus our rooms are adjoining so I am often popping my head in and see them in the playground etc all the time. I go on excursions with them, we do sport together etc.
We separated our two at Day Care when they were 3 and it was a disaster.
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Whatever we do with them has to be that way for the year, we can't change them around partway through the year.
This was our issue (besides me teaching one of the classes) both in prep (different school) and now... so ... they are together.
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We are having MAJOR problems with them at home ATM. Chase is into more gentle play and is rather ummmm 'sensitive' shall we say to be PC. Levi is rough, full-on and very in your face and is constantly pushing for attention. There is constant tears between them and I would hate for that to spill over into the classroom.
This is EXACTLY the same as our two. TBH my gentler one has more friends, and my full on one is in trouble a lot more. This may be personality clash between teacher and him, but I'm sure it's more to do with him than anything... It has worked the opposite to what we had thought might happen. Full on one is more aggravating for teacher and other students so tends to be the one looking for friends at lunch etc and has actually had a few issues making him much more sensitive than we woul'dve ever expected. Anyway, my point here is that none of our home issues spill over into the classroom because there are so many other children around IYKWIM. It's like putting two drops of colour into water... it gets watered down!

There are more positives than negatives in our case. We have had a bit of an issue with one of ours and another child. It has actually been helpful to have another set of eyes in the classroom to corroborate (or quash) the stories we were hearing. They are in the same reading group and maths group so we don't have any issues with one being "smarter" than the other, although I did only discuss this with their teacher today, as I am sure I have one much more advanced than the other, but his learning style is a little bit outside of the box... so the difference is not as obvious ... she did say today (has never said this before) that she agrees with my thoughts on that one... which was interesting. They are on same reader levels, and same word lists at the moment, so I'm not sure how we'd go if one was ahead of the other... terribly I'm guessing, my more sensitive one (if he was behind) would give up "I can't do it anyway" attitude. If it were the other way around the more full on one would scream the house down and get angry! It would be everyone elses fault etc... you know what I mean.
I have been asked several times what I plan to do next year (separate or not). We've asked the boys and they are not keen, so will probably do another year together. We plan to be reasonably guided by them, unless their teacher feels it is necessary to separate them... However we are wary of the fact that once they are in their classes, they won't change unless its desperate... so we'll see.
I do agree that starting Kinder is a big enough step, putting in the extra step of separating them would be too hard IMO.
... Do they share a room at home? We are trying to convince our two to move into separate rooms at the moment (we plan to do the move over the Christmas holidays)... I've got one keen one (gentle boy!) and one not so keen!

I think if they were able to separate in this situation it might improve our chances of separating later at school!