My cousin studies in Hope Christian Academy and I heard it's one of the top Chinese schools there is in Manila. Their education system is based on a Singaporean structure, as far as I know.
You can try Cambridge Child Development Centre too, located in Binondo. It's a relatively known toddler school and I believe they offer Chinese class and the medium of instruction can be English and Chinese. Not sure, though, if it's a progressive type of school.
You can read a review about it here: http://www.thebinondomommy.com/2015/06/trial-class-at-cambridge-binondo.html
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