Research Article
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Year 2015, , 163 - 178, 08.09.2015
https://doi.org/10.16949/turcomat.22429

Abstract

References

  • 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

Year 2015, , 163 - 178, 08.09.2015
https://doi.org/10.16949/turcomat.22429

Abstract

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

References

  • 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.
There are 43 citations in total.

Details

Primary Language English
Subjects Other Fields of Education
Journal Section Research Articles
Authors

Çiğdem Kılıç

Publication Date September 8, 2015
Published in Issue Year 2015

Cite

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). September 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, no. 2 (September 2015): 163-78. https://doi.org/10.16949/turcomat.22429.
EndNote Kılıç Ç (September 1, 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), vol. 6, no. 2, pp. 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 (September 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), vol. 6, no. 2, 2015, pp. 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.