A Study on Intuitive Model in Mathematics Education

수학교육에서 직관적 모델에 관한 연구

The purpose of this paper is to investigate the significance and the role of intuitive model and the example of its development. Intuitive model is the tools of intuition in mathematics and the sources for the creative learning mathematics. It consists of the analogical model, paradigmatic model and diagrammatic model. Intuitive model must have a number features in order to be really useful as heuristic devices. It must present a high degree of natural, consistent and structural correspondence with the original. It must also correspond to human information processing characteristics and enjoy a relative autonomy with respect to the original. Sometimes, the difficulty in teaming mathematics stems from the abstractive characteristics of mathematics. So, we have to assist students' learning using the intuitive model that reveals the concrete representation and various changes of mathematical concepts, rules and principles.