My own approach is this: I do not specially emphasize Chine culture or Chinese tradition, but first simply treat "Chinese" as a second or third language to be studied in addition to English, letting my child feel that studying this language is no different from studying other languages such as Spanish, French or German.
個人的施行方法是，並不特別強調中國文化或中國傳統的大道理，純粹先把「中文」當做是一種英文之外的第二種或第三種外國語文，讓孩子覺得這種學習和學習其他如西班牙文、法文、德文等一樣。