Matematik ve Fen Eğitiminde Problem Kurma Uygulamaları

Matematik ve fen eğitiminde, problem çözmenin önemli bir yeri vardır. Son yıllarda, öğrencilerin problem çözme becerilerinin yanında problem kurma becerilerinin de geliştirilmesi üzerinde durulmaktadır. Problem kurma, bir problemin çözüm sürecinden çok, yeni problemler ortaya koyabilme becerisini içerir. Bu beceriyle birlikte, öğrencilerin esnek ve farklı düşünme yetenekleri, konuyu kavrama düzeyleri ve problem çözme becerileri gelişir. Bunların yanında problem kurma etkinliği, somut durumlarla soyut kavramlar arasında bir köprü görevi görür ve genelleştirmeye yardımcı olur. Ancak problem kurma, öğretmenler tarafından sınıf ortamlarında uygulamasındaki zorluklardan dolayı az kullanılmaktadır.Bu makalede problem kurmanın önemi üzerinde durulmuş ve çeşitleri, stratejileri ve problem çözme etkinliği ile olan ilişkileri ortaya konmuştur. Ayrıca, fen ve matematik derslerinde problem kurma stratejilerinin uygulamalarına yer verilmiştir.

Problem Posing Practices in Mathematic and Science Education

Problem solving plays an important role in the mathematics and science education. Recently, not only students’ problem posing skills but also problem solving skills development has been emphasized. It involves skills in finding new problems rather than involves a problem solving process. Together with this skill, students’ flexible and different thinking abilities, levels of comprehension on topic, and problem solving skills are developed. In addition, problem posing provides a bridge between concrete events and abstract concepts, and it would help to do generalization. However, it is rarely used in the environments of classroom since it is hard for teachers to carry out it. In this article, the importance of problem posing has been emphasized and its varieties, strategies, and its between relationships problem solving activities have been explained. Also, practices have been provided in terms of how problem-posing strategies would be applied on mathematics and science lessons.

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Abrams, J.; Honeyman, L. (2002). Teacher handbook, Mathematics research skills, http://www2.edc.org/makingmath/handbook/Teacher/ProblemPosing/ProblemPosing.pdf. (Erişim Tarihi: 28 Temmuz 2004).
Ambrus, A. (1997). Problem posing in mathematics education, (Ed: Kansanen, P.), Discussions on Some Educational Issues VII. Research Reports, Helsinki, Finland, 5-19
Borba, C.M. (1994). High school students’ mathematical problem posing: An exploratory study in the classroom. Annual Meeting of the American Educational Research Association, 24-28 April, New Orleans, USA.
Brown, S.I., Walter, M.I. (1993). Problem posing, reflection and application, Lawrence Erlbaum Associate, Hillsdale, New Jersey, USA.
Cai, J. (1997). An investigation of U.S. and Chinese students’ mathematical problem posing and problem solving, Annual Meeting of the American Educational Research Associatons, 24-28 March, Chicago, USA.
Cai, J., Hwang, S. (2002). Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing, Journal of Mathematical Behavior, 21, 401-421.
Charles, R., Lester, F., O’Daffer, P. (1997). How to evaluate progress in problem solving, NCTM, Inc., Sixth Printing, Reston, VA.
Collier, C.P. (2000). Menu collection: Problems adapted from mathematics teaching in the middle school: National middle school association, National Council of Teachers of Mathematics, Ohio, USA.
Daunt, B. (Çev: Kalkandelen, H.). (1997). Öğreticinin el kitabı, Pegem Yayıncılık, Ankara.
El Sayed, R.A. (2001). Effectiveness of problem posing strategies on prospective mathematics teachers’ problem solving performance, The Mathematics Education into the 21st Century Project Proceedings of the International Conference New Ideas in Mathematics Education, Palm Cove 19-24 August, Australia. Enger, S.G., Yager, R.E. (1998). The Iowa assessment handbook, Science Education Center of The University of Iowa, USA.
English, L.D. (1997a). The development of fifth-grade children’s problem posing abilities, Educational Studies in Mathematics, 34, 183-217.
English, L.D. (1997b). Promoting a problem posing classroom, Teaching Children Mathematics, 3, 172-79.
English, L.D. (2001). Problem posing research: answered and unanswered questions. Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Snowbird, Utah.
Gonzales, N. A. (1994). Problem posing: a neglected component in mathematics courses for pro-service elementary and middle school teachers, School Science & Mathematics, 94(2), 78-84.
Lavy, I.; Bershadsky, I. (2003). Problem posing via “what if not?” strategy in solid geometry - a case study. Journal of Mathematical Behavior, 22, 369–387.
Lawrie, T., Whitland, J. (2000). Problem posing as a tool for learning, planning and assessment in the primary school, Ed: Nakahara, T., Koyama, M., Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education, Hiroshima, Japan, 247-254.
Lewis, T., Petrina, S., Hill, A.M. (1998). Problem posing-adding a creative increment to technological problem solving, Journal of Industrial Teacher Education, 36(1).
Miller, C.M. (2000). Student-researched problem-solving strategies, Mathematics Teacher, 93(2), 136-138.
Nakono, A., Murakami, N., Hirashima, T., Takeuchi, A. (2000). A learning environment for problem posing in simple arithmetical word problems, International Conference on Computers in Education/ International Conference on Computer Assisted Instruction (ICCE), 21-24 November, Taipei, Taiwan.
Silver, E.A. (1995). The nature and use of open problems in mathematics education: Mathematical and pedagogical perspectives, International Reviews on Mathematics Education, 27(2), 67 –72.
Silver, E.A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing, ZDM - Zentrallblatt fur Didaktik der Mathematik, 29(3), 75-80.
Tuska, A. (2003). Attempts to improve the problem solving abilities of practicing teachers, The Mathematics Education into the 21st Century Project Proceedings of the International Conference, Brno, Czech Republic.
Wilhelmus, C., Klaassen, M.K. (1995). A problem-posing approach to teaching the topic of radioactivity. Proefschrift Universiteit Utrecht, CD-ß Press, Utrecht.