This paper presented an in-progress research model to develop, design and test an innovated acculturated adaptive web-based learning systems which based on Vygotsky 's zone of proximal development (ZPD) development theory. Based on ZPD related theories and researches, this research proposed to use cognitive apprenticeship instruction model as design guides to develop the activity functions to support acculturation ZPD instructions in MOODLE, a most popular opensource web-based learning system in the world. A support acculturation ZPD instruction adaptive system engine/mechanism, Heuristic Adaptive Learning Pattern (HALP), were also proposed in this paper. The major proposed designed adaptive function will base on the Blockmodeling method that used in social network analysis methodology which modelling the learner’s learning portfolio and learning path.