A Study of the Project-Based Learning Methods for Reinventing Ideas of Mathematician via the Strategy of Polya’s Problem Solving
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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.
Abstract
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.
참고문헌 (25)
- Bachelard, G., "The Formation of the Scientific Mind" (2002), Clinamen Press
- Boyer, C., "A History of Mathematics" (1968), John Wiley & Sons, Inc
- Brousseau, G., "Theory of didactical situations in mathematics" (1997), Kluwer Academic Pub
- Brown, S, "Biographical Dictionary of Twentieth-Century Philosophers", pp.41~42 (1996), Routledge
- Bruner, J. S., "The process of education" (1960), Harvard University Press
- Chung, C., "A study for developing and implementing integrated curriculum using project approach in an elementary school setting", The Journal of Curriculum Studies, 19(1), pp.343~362 (2001)
- Dewey, J., "Education and Experience" (1997), Touchstone
- Edwards, P., "Encyclopedia of Philosophy" (1967), Macmillan
- Freudenthal, H., "Mathematics as an Educatinal Task" (1973), D. Reidel Publishing Co.
- Freudenthal, H., "Major Problems of Mathematical Education", Educational Studies in Mathematics, 12, pp.133~150 (1981)
- Freudenthal, H., "Didactical phenomenology of mathematical structures" (1983), D. Reidel Publishing Co.
- Freudenthal, H., "Revisiting Mathematical Education" (1991), Kluwer Academic Publishers
- Greeno, J. G., "The Cambridge handbook of the learning sciences", pp.79~96 (2006), Cambridge University Press
- Jang, H., "The Principle of Clairaut’s Geometry" (2005), Kyongmoonsa
- Kim, B., "A Comparison of effects on precautionary and prescriptive learning to prevent the low math achievement in elementary school", Primary School Subject Teaching and Research, 4(2), pp.1~20 (2017)
- Kim, Y., "Diagnosis and Treatment Mathematics" (1998), Kyongmoonsa
- Memorandum, "On the Mathematics Curriculum of the High School", Mathematical Association of America, 69(3), pp.189~193 (1962)
- Michael, K., "The Project Method: Its Vocational Education Origin and International Development", Journal of Industrial Teacher Education, 3, pp.59~80 (1997)
- Poincare, H., "Foundations of Science" (1946), Science Press
- Polya, G., "How to Solve It" (1957), Princeton University Press
- Schoenfeld, H., "Pólya, Problem Solving, and Education", Mathematics Magazine, 60(5), pp.283~291 (1987)
- Thom, R., "Developments in Mathematical Education", pp.194~209 (1973)
- Toeplitz, O., "The Calculus-A Genetic Approach" (1963), The University of Chicago Press
- Woo, J., "Educational Foundation of School Mathematics" (1998), Seoul National University Press
- Woo, J., "Principles and Methods of Teaching and Learning Mathematics" (2000), Seoul National University Press