Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2015, Cilt: 6 Sayı: 2, 163 - 178, 08.09.2015
https://doi.org/10.16949/turcomat.22429

Öz

Kaynakça

  • References
  • Barlow, A. T. & Cates, J. M. (2006). The impact of problem posing on elementary teachers' beliefs about mathematics and mathematics teaching. School Science and Mathematics, 106 (2), 64-73.
  • Bogdan, R. C. & Biklen, S. K. (1998). Qualitative research for education: An introduction to theory and methods. (3rd Ed.). Boston: Allyn & Bacon.
  • Cai, J. (2003). Singaporean students' mathematical thinking in problem solving and problem posing: an exploratory study, International Journal of Mathematical Education in Science and Technology, 34(5), 719-737.
  • Cai, J. , Moyer , J. C., Wang, N. ,Hwang, S. , Nie, B. &Garber, T. (2012). Mathematical problem posing as a measure of curricular effect on students' learning. Educational Studies in Mathematics, 81(1).
  • Chen, L., Dooren, W.N., Chen, Q. & Verschaffel, L. (2011). An investigation on Chinese teachers’ realistic problem posing and problem solving ability and beliefs. International Journal of Science and Mathematics Education, 9, 919-948.
  • Christou, C., Mousoulides, N., Pittalis M., Pitta-Pantazi, D. & Sriraman, B. (2005). An empirical taxonomy of problem posing process. ZDM, 37(3), 149-58.
  • Fraenkel, J., R. & Wallen, N. E. (2005). How to design and evaluate research in education. (6th Ed.). New York: Mc Graw Hill.
  • Gay, L. R., Mills, G. E. and Airasian, P. (2006). Educational research: Competencies for analysis and applications.(8th ed.). New Jersey: Pearson Prentice Hall.
  • Goldin, G. (2000). A scientific perspectives on structured, task-based interviews in mathematics education research. In A.E. Kelly & R.A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 517-546). Mahwah, NJ: Lawrence Erlbaum Associates.
  • Goodson-Espy, T. (2009). An exploration of preservice teachers’ creation and analysis of fraction multiplication word problems. In Swars, S. L., Stinson, D. W., & Lemons-Smith, S. (Eds.). Proceedings of the 31st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Atlanta, GA: Georgia State University. (pp. 1330-1338).
  • Greer, B. (1993). The modelling perspective on world problems. Journal of Mathematical Behavior, 12, 239-250.
  • Hardman, F., Abd-Kadir, J. & Tibuhinda, A. (2012). Reforming teacher education in Tanzania.International Journal of Educational Development, 32(6), 826–834.
  • Holmes, E. E. (1995). New directions in elementary school mathematics: Interactive teaching and learning. Englewood Cliffs, N.J. : Merrill.
  • Hunting, R. P. (1997). Clinical interview methods in mathematics education research and practice. Journal of Mathematical Behavior, 16(2), 145-165.
  • Inoue, N. (2005). The realistic reasons behind unrealistic solutions: The role of interpretive activity in word problem solving. Learning and Instruction, 15, 69-83.
  • Işık, C. (2011). Conceptual analysis of multiplication and division in fractions posed by prservice elementary mathematics teachers. Hacettepe University Journal of Education Faculty, 41, 231-243.
  • Kılıç, Ç. (2011). İlköğretim Matematik Öğretmen Adaylarının Standart Olmayan Sözel Problemlere Verdikleri Yanıtlar ve Yorumlar [Pre-Service Elementary Mathematics Teachers’ Solutions and Interpretations About Non-Standard Word Problems]. Ahi Evran Üniversitesi Eğitim Fakültesi Dergisi [Ahi Evran University Education Faculty Journal], 12(3),55-74.
  • Korkmaz, E.&Gür, H. (2006). Öğretmen adaylarının problem kurma becerilerinin belirlenmesi. [Determining of prospective teachers’ problem posing skills].Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi [Balıkesir University Education Faculty Journal], 8 (1),64-74.
  • Leung, S. S. (1997). On the role of creative thinking in problem posing. International Reviews on Mathematical Education, 29 (3), 81-5.
  • Lincoln, Y.S.&Guba, E. G. (1985). Naturalistic inquiry. California, New Burry Park: Sage Publication.
  • Lowrie, T. (2002). Designing a framework for problem posing: young children generating open-ended tasks. Contemporary Issues in Early Childhood, 3(3),354-64.
  • Luo, F. (2009). Evaluating the effectiveness and insights of pre-service elementary teachers’ abilities to construct word problems for fraction multiplication, Journal of Mathematics Education, 2(1),83-98.
  • Nixon-Ponder, S. (1995). Using problem posing dialogue in adult literacy education. Teacher to teacher. Adult Learning, 7(2), 10-12.
  • Merriam, S. B. (1998). Qualitative research and case study applications in education. (1st ed.).San Francisso: Jossey-Bass.
  • Miles, M. & Huberman, M. (1994). An expanded sourcebook qualitative data analysis (2 th ed.).California: Sage Publications.
  • Olkun, S. Şahin, Ö, Akkurt, Z., Dikkartın, F. T.&Gülbağcı, H. (2009). Problem solving and generalization through modeling: A study on elementary school students, Education and Science, 34(151), 65-73.
  • Patton, M. Q. (1990). Qualitative evaluation and research methods. (2nd ed.). California: Sage Publication.
  • Patton, M. Q. (2002). Qualitative research and evaluation methods. (3rd ed.). California: Sage Publication.
  • Quinn, R. J. 1997. Effects of mathematics methods courses on the mathematical attitudes and content knowledge of preservice teachers The Journal of Educational Research, 91(2),108-114.
  • Reusser, K., & Stebler, R. (1997). Every word problem has a solution – The social rationality of mathematical modelling in schools. Learning and Instruction, 7, 309-327.
  • Rizvi, N. F. (2004). Prospective teachers’ ability to pose word problems. International Journal for Mathematics Teaching and Learning, 12,1-22.
  • Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19-28.
  • Silver, E. A. & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for Research in Mathematics Education, 27 (5), 521-539.
  • Souviney, R. J. (1994). Learning to teach mathematics (2nd Ed.). Englewood Cliffs: Macmillan Publishing Company.
  • Stoyanova, E. & Ellerton, N. F. (1996). A framework for research into students' problem posing in school mathematics. In P. Clarkson (Ed.),Technology in Mathematics Education (pp.518–525). Melbourne: Mathematics Education Research Group of Australasia.
  • Stoyanova, E. (2003). Extending students’ understanding of mathematics via problem posing. The Australian Mathematics Teacher, 59 (2),32-40.
  • Taplin, M. (1998). Preservice Teachers' Problem-Solving Processes. Mathematics Education Research Journal, 10 (3),59-76.
  • Tichá M. & Hošpesová, A. (2009). Problem posing and development of pedagogical content knowledge in pre-service teacher training. In (Eds.) Paper presented at the Proceedings of CERME 6, Lyon, France. (pp.1941-1950).
  • Toluk- Uçar, Z. (2009). Developing pre-service teachers understanding of fractions through problem posing. Teaching and Teacher Education, 25, 166-175.
  • Verschaffel, L., De Corte, E. & Lasure, S. (1994). Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction,4,273-294.
  • Verschaffel, L, De Corte,,E. & Borghart, I. (1997). Pre-service teachers’conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction, 7(4), 339-359.
  • Yoshida, H., Verschaffel, L.&De Corte, E. (1997). Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties? Learning and Instruction, 7 (4), 329-338.

The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems

Yıl 2015, Cilt: 6 Sayı: 2, 163 - 178, 08.09.2015
https://doi.org/10.16949/turcomat.22429

Öz

The aim of this study was to identify the problem posing tendency of preservice teachers (primary and mathematics) in structured problem posing situations. Participants were selected using a two-step sampling process in order to prevent bias. In the first sampling process, a total of 109 pre-service teachers participated in the study. Of these participants, 48 were pre-service primary school mathematics teachers and 61 were pre-service primary teachers who were in their sixth term of school. In the second sampling process, 10 volunteer participants were selected using purposeful sampling. It was found that participants had a tendency to pose result-centered problems (contextually inappropriate and irrelevant result-focused problems) and context-centered problems (standard and non-standard word problems). In some cases, participants did not pose any word problems.

Keywords: Problem posing, structured problem posing, word problem, pre-service primary mathematics teacher, pre-service primary teacher

Kaynakça

  • References
  • Barlow, A. T. & Cates, J. M. (2006). The impact of problem posing on elementary teachers' beliefs about mathematics and mathematics teaching. School Science and Mathematics, 106 (2), 64-73.
  • Bogdan, R. C. & Biklen, S. K. (1998). Qualitative research for education: An introduction to theory and methods. (3rd Ed.). Boston: Allyn & Bacon.
  • Cai, J. (2003). Singaporean students' mathematical thinking in problem solving and problem posing: an exploratory study, International Journal of Mathematical Education in Science and Technology, 34(5), 719-737.
  • Cai, J. , Moyer , J. C., Wang, N. ,Hwang, S. , Nie, B. &Garber, T. (2012). Mathematical problem posing as a measure of curricular effect on students' learning. Educational Studies in Mathematics, 81(1).
  • Chen, L., Dooren, W.N., Chen, Q. & Verschaffel, L. (2011). An investigation on Chinese teachers’ realistic problem posing and problem solving ability and beliefs. International Journal of Science and Mathematics Education, 9, 919-948.
  • Christou, C., Mousoulides, N., Pittalis M., Pitta-Pantazi, D. & Sriraman, B. (2005). An empirical taxonomy of problem posing process. ZDM, 37(3), 149-58.
  • Fraenkel, J., R. & Wallen, N. E. (2005). How to design and evaluate research in education. (6th Ed.). New York: Mc Graw Hill.
  • Gay, L. R., Mills, G. E. and Airasian, P. (2006). Educational research: Competencies for analysis and applications.(8th ed.). New Jersey: Pearson Prentice Hall.
  • Goldin, G. (2000). A scientific perspectives on structured, task-based interviews in mathematics education research. In A.E. Kelly & R.A. Lesh (Eds.), Handbook of research design in mathematics and science education (pp. 517-546). Mahwah, NJ: Lawrence Erlbaum Associates.
  • Goodson-Espy, T. (2009). An exploration of preservice teachers’ creation and analysis of fraction multiplication word problems. In Swars, S. L., Stinson, D. W., & Lemons-Smith, S. (Eds.). Proceedings of the 31st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Atlanta, GA: Georgia State University. (pp. 1330-1338).
  • Greer, B. (1993). The modelling perspective on world problems. Journal of Mathematical Behavior, 12, 239-250.
  • Hardman, F., Abd-Kadir, J. & Tibuhinda, A. (2012). Reforming teacher education in Tanzania.International Journal of Educational Development, 32(6), 826–834.
  • Holmes, E. E. (1995). New directions in elementary school mathematics: Interactive teaching and learning. Englewood Cliffs, N.J. : Merrill.
  • Hunting, R. P. (1997). Clinical interview methods in mathematics education research and practice. Journal of Mathematical Behavior, 16(2), 145-165.
  • Inoue, N. (2005). The realistic reasons behind unrealistic solutions: The role of interpretive activity in word problem solving. Learning and Instruction, 15, 69-83.
  • Işık, C. (2011). Conceptual analysis of multiplication and division in fractions posed by prservice elementary mathematics teachers. Hacettepe University Journal of Education Faculty, 41, 231-243.
  • Kılıç, Ç. (2011). İlköğretim Matematik Öğretmen Adaylarının Standart Olmayan Sözel Problemlere Verdikleri Yanıtlar ve Yorumlar [Pre-Service Elementary Mathematics Teachers’ Solutions and Interpretations About Non-Standard Word Problems]. Ahi Evran Üniversitesi Eğitim Fakültesi Dergisi [Ahi Evran University Education Faculty Journal], 12(3),55-74.
  • Korkmaz, E.&Gür, H. (2006). Öğretmen adaylarının problem kurma becerilerinin belirlenmesi. [Determining of prospective teachers’ problem posing skills].Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi [Balıkesir University Education Faculty Journal], 8 (1),64-74.
  • Leung, S. S. (1997). On the role of creative thinking in problem posing. International Reviews on Mathematical Education, 29 (3), 81-5.
  • Lincoln, Y.S.&Guba, E. G. (1985). Naturalistic inquiry. California, New Burry Park: Sage Publication.
  • Lowrie, T. (2002). Designing a framework for problem posing: young children generating open-ended tasks. Contemporary Issues in Early Childhood, 3(3),354-64.
  • Luo, F. (2009). Evaluating the effectiveness and insights of pre-service elementary teachers’ abilities to construct word problems for fraction multiplication, Journal of Mathematics Education, 2(1),83-98.
  • Nixon-Ponder, S. (1995). Using problem posing dialogue in adult literacy education. Teacher to teacher. Adult Learning, 7(2), 10-12.
  • Merriam, S. B. (1998). Qualitative research and case study applications in education. (1st ed.).San Francisso: Jossey-Bass.
  • Miles, M. & Huberman, M. (1994). An expanded sourcebook qualitative data analysis (2 th ed.).California: Sage Publications.
  • Olkun, S. Şahin, Ö, Akkurt, Z., Dikkartın, F. T.&Gülbağcı, H. (2009). Problem solving and generalization through modeling: A study on elementary school students, Education and Science, 34(151), 65-73.
  • Patton, M. Q. (1990). Qualitative evaluation and research methods. (2nd ed.). California: Sage Publication.
  • Patton, M. Q. (2002). Qualitative research and evaluation methods. (3rd ed.). California: Sage Publication.
  • Quinn, R. J. 1997. Effects of mathematics methods courses on the mathematical attitudes and content knowledge of preservice teachers The Journal of Educational Research, 91(2),108-114.
  • Reusser, K., & Stebler, R. (1997). Every word problem has a solution – The social rationality of mathematical modelling in schools. Learning and Instruction, 7, 309-327.
  • Rizvi, N. F. (2004). Prospective teachers’ ability to pose word problems. International Journal for Mathematics Teaching and Learning, 12,1-22.
  • Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19-28.
  • Silver, E. A. & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for Research in Mathematics Education, 27 (5), 521-539.
  • Souviney, R. J. (1994). Learning to teach mathematics (2nd Ed.). Englewood Cliffs: Macmillan Publishing Company.
  • Stoyanova, E. & Ellerton, N. F. (1996). A framework for research into students' problem posing in school mathematics. In P. Clarkson (Ed.),Technology in Mathematics Education (pp.518–525). Melbourne: Mathematics Education Research Group of Australasia.
  • Stoyanova, E. (2003). Extending students’ understanding of mathematics via problem posing. The Australian Mathematics Teacher, 59 (2),32-40.
  • Taplin, M. (1998). Preservice Teachers' Problem-Solving Processes. Mathematics Education Research Journal, 10 (3),59-76.
  • Tichá M. & Hošpesová, A. (2009). Problem posing and development of pedagogical content knowledge in pre-service teacher training. In (Eds.) Paper presented at the Proceedings of CERME 6, Lyon, France. (pp.1941-1950).
  • Toluk- Uçar, Z. (2009). Developing pre-service teachers understanding of fractions through problem posing. Teaching and Teacher Education, 25, 166-175.
  • Verschaffel, L., De Corte, E. & Lasure, S. (1994). Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction,4,273-294.
  • Verschaffel, L, De Corte,,E. & Borghart, I. (1997). Pre-service teachers’conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction, 7(4), 339-359.
  • Yoshida, H., Verschaffel, L.&De Corte, E. (1997). Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties? Learning and Instruction, 7 (4), 329-338.
Toplam 43 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Alan Eğitimleri
Bölüm Araştırma Makaleleri
Yazarlar

Çiğdem Kılıç

Yayımlanma Tarihi 8 Eylül 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 6 Sayı: 2

Kaynak Göster

APA Kılıç, Ç. (2015). The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 6(2), 163-178. https://doi.org/10.16949/turcomat.22429
AMA Kılıç Ç. The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems. Turkish Journal of Computer and Mathematics Education (TURCOMAT). Eylül 2015;6(2):163-178. doi:10.16949/turcomat.22429
Chicago Kılıç, Çiğdem. “The Tendency of Turkish Pre-Service Teachers’ to Pose Word Problems”. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 6, sy. 2 (Eylül 2015): 163-78. https://doi.org/10.16949/turcomat.22429.
EndNote Kılıç Ç (01 Eylül 2015) The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 6 2 163–178.
IEEE Ç. Kılıç, “The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems”, Turkish Journal of Computer and Mathematics Education (TURCOMAT), c. 6, sy. 2, ss. 163–178, 2015, doi: 10.16949/turcomat.22429.
ISNAD Kılıç, Çiğdem. “The Tendency of Turkish Pre-Service Teachers’ to Pose Word Problems”. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 6/2 (Eylül 2015), 163-178. https://doi.org/10.16949/turcomat.22429.
JAMA Kılıç Ç. The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2015;6:163–178.
MLA Kılıç, Çiğdem. “The Tendency of Turkish Pre-Service Teachers’ to Pose Word Problems”. Turkish Journal of Computer and Mathematics Education (TURCOMAT), c. 6, sy. 2, 2015, ss. 163-78, doi:10.16949/turcomat.22429.
Vancouver Kılıç Ç. The Tendency of Turkish Pre-service Teachers’ to Pose Word Problems. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2015;6(2):163-78.