A Study of the Project-Based Learning Methods for Reinventing Ideas of Mathematician via the Strategy of Polya’s Problem Solving

Project-based learning emphasizes learning activities that are long-term, interdisciplinary and student-centered. Students often must organize their own work and manage their own time in a project-based class. Most children, however, have epistemological obstacle which is typical of the prescientific thinking. The researchers propose a teaching-learning method to invoke interests and to overcome epistemological obstacle using the method to reinvent ideas of mathematician via the strategy of Polya’s problem solving. To this purpose, we choose 6-th grade children in J Province and implement 5 lessons in that class to propose some efficient methods for overcoming children’s epistemological obstacle and developing ability of the reinvention of Mathematician’s ideas in the elementary school.