Anticipatory Modelling and Computing (AMC) is identified as the key difference between Popper�s Bucket Theory of Science (BTS) and his Searchlight Theory of Science (STS). In analysing relevant research about intelligence and knowledge, it is found that computer based AMC may be successfully applied in order to enhance human learning and knowledge handling according to the STS paradigm. A preliminary design of such an Anticipatory Searchlight Engine (ASE) is developed. It is based on an icosahedric fractal model. A computer implementation of ASE is proven quite straightforward and feasible. However, the current one needs additional elaboration.