Hi. I read your post a few days ago and it's been on my mind since then... I had to help. I been living in Singapore as expat for 5 years now. for the past 3 years I have visited several
International Schools and preschools trying to find something the best to fit my family so here is what I recommend.
They are many choices for
International School but only a few offer TRULY Immersion in Mandarin. ( in the past 3 years many have begging to notice that the demand for Immersion program is high but most are still not up to the level.......although the offer is getting better>
The difference between public and private schools in Singapore is big and that is something that you will figure out living here!!.
As for public school I can not recommend any. As for private I will recommend the following.
Base on what you mention and the level of Mandarin that your daughter already has my recommendation is Chineise International School (CIS). They have a TRULLY immersion program that teaches at least 50% in Mandarin.
The school itself is not that pretty, but no other school can offer this level in Mandarin.
I had a friend from spain who had her kids at CIS and in 6months they were already talking in Mandarin.
Now if you want a more international feeling + all the extras !!!!, your next bet in my opinion is
Canadian International School. HEre from grade 1 they get to choice 1 language (french or Mandarin) . teachers are native and madarin is teach daily. Many of the kids attending CIS already have a high level in Mandarin (this because they are comming from its sister preschool). Now to keep her level if attending CIS I will recommend to put her with a tutor at home, ( in Singapore are eassy to find and they come to your house
(15-50 sing per hour)... or they are many other extra curriculum options. Orange Mandarin @ Demsey, Julia Gabriel (Chengzhu Mandarin Centre)....etc.
For the little one I recommend you the same Chinese International School, although I don't remember if they have for so little ones,,,,, I think they do.
OR I recommend you Odyssey International Preschool or Ethon House. They offer immertion program in Madarin from 18 monthe to K2 (5-6years)
I have my children At Odyssey. At odyssey hey have in all the classes 1 English teacher, 1 Chinese and 1 to 3 teacher assistance per class.(all dep. on aged group.)
This means they always have one teacher native speaker in the classroom speacking to them only on mandarin. On top of that they teach them daily mandarin writing and reading. Many of the kids by K1 level understand all the teachers says to them and they are begying to talk back. also begging to read and write.
As for Ethon House I really have not seen so many native speaking teacher the times I visit the school , so I can not really say their level in mandarin.
Hope this info be of help.