Knowledge management becomes increasingly more important for individuals since it would make the best use of knowledge through helping learners to better understand, administer and transfer the knowledge. Externalize what the learners already know is one of the most important aspects of knowledge management. Although mind tools, ontology and knowledge graph are the most popular methodologies to interpret and organize knowledge, they still have defects to simulate individuals' mental images of the knowledge, especially lack the necessary supporting mechanisms on sophisticated semantic reasoning and related cognitive simulation required by the personal knowledge maps' producing. This paper proposed a computational model to simulate the personal knowledge building process which not only enriches semantic relations and inferring, but also is supported by the general cognitive intelligence theory about knowledge integration and the constructivism learning theory. Finally, the experiment result shows the personalized map has a good fidelity to the changing of the learners' mental images which consistently evolve along with the learning progress.