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      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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      https://www.riss.kr/link?id=A105941430

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      다국어 초록 (Multilingual 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.
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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 epistemologi...

      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.

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      참고문헌 (Reference)

      1 Brousseau, G., "Theory of didactical situations in mathematics" Kluwer Academic Pub 1997

      2 Bruner, J. S., "The process of education" Harvard University Press 1960

      3 Michael, K., "The Project Method: Its Vocational Education Origin and International Development" 3 : 59-80, 1997

      4 Jang, H., "The Principle of Clairaut’s Geometry" Kyongmoonsa 2005

      5 Bachelard, G., "The Formation of the Scientific Mind" Clinamen Press 2002

      6 Greeno, J. G., "The Cambridge handbook of the learning sciences" Cambridge University Press 79-96, 2006

      7 Toeplitz, O., "The Calculus-A Genetic Approach" The University of Chicago Press 1963

      8 Freudenthal, H., "Revisiting Mathematical Education" Kluwer Academic Publishers 1991

      9 Schoenfeld, H., "Pólya, Problem Solving, and Education" 60 (60): 283-291, 1987

      10 Woo, J., "Principles and Methods of Teaching and Learning Mathematics" Seoul National University Press 2000

      1 Brousseau, G., "Theory of didactical situations in mathematics" Kluwer Academic Pub 1997

      2 Bruner, J. S., "The process of education" Harvard University Press 1960

      3 Michael, K., "The Project Method: Its Vocational Education Origin and International Development" 3 : 59-80, 1997

      4 Jang, H., "The Principle of Clairaut’s Geometry" Kyongmoonsa 2005

      5 Bachelard, G., "The Formation of the Scientific Mind" Clinamen Press 2002

      6 Greeno, J. G., "The Cambridge handbook of the learning sciences" Cambridge University Press 79-96, 2006

      7 Toeplitz, O., "The Calculus-A Genetic Approach" The University of Chicago Press 1963

      8 Freudenthal, H., "Revisiting Mathematical Education" Kluwer Academic Publishers 1991

      9 Schoenfeld, H., "Pólya, Problem Solving, and Education" 60 (60): 283-291, 1987

      10 Woo, J., "Principles and Methods of Teaching and Learning Mathematics" Seoul National University Press 2000

      11 Memorandum, "On the Mathematics Curriculum of the High School" 69 (69): 189-193, 1962

      12 Freudenthal, H., "Mathematics as an Educatinal Task" D. Reidel Publishing Co. 1973

      13 Freudenthal, H., "Major Problems of Mathematical Education" 12 : 133-150, 1981

      14 Polya, G., "How to Solve It" Princeton University Press 1957

      15 Poincare, H., "Foundations of Science" Science Press 1946

      16 Edwards, P., "Encyclopedia of Philosophy" Macmillan 1967

      17 Woo, J., "Educational Foundation of School Mathematics" Seoul National University Press 1998

      18 Dewey, J., "Education and Experience" Touchstone 1997

      19 Freudenthal, H., "Didactical phenomenology of mathematical structures" D. Reidel Publishing Co. 1983

      20 Kim, Y., "Diagnosis and Treatment Mathematics" Kyongmoonsa 1998

      21 Thom, R., "Developments in Mathematical Education" 194-209, 1973

      22 Brown, S, "Biographical Dictionary of Twentieth-Century Philosophers" Routledge 41-42, 1996

      23 Chung, C., "A study for developing and implementing integrated curriculum using project approach in an elementary school setting" 19 (19): 343-362, 2001

      24 Boyer, C., "A History of Mathematics" John Wiley & Sons, Inc 1968

      25 Kim, B., "A Comparison of effects on precautionary and prescriptive learning to prevent the low math achievement in elementary school" 4 (4): 1-20, 2017

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