Abu-Elwan, R. (1999). The development of mathematical problem posing skills for
prospective middle school teachers. In A. Rogerson (Ed.) Proceedings of
theInternational conference on Mathematical Education into the 21st Century: Social
Challenges, Issues and Approaches, (Vol. II, pp. 1-8), Cairo Egypt.
Abu-Elwan, R. (2002). Effectiveness of problem posing strategies on prospective
mathematics teachers’ problem solving performance. Journal of Science and
Mathematics Education in S.E. Asia, 25(1), 56-69.
Akay, H. (2006). Problem kurma yaklaşımı ile yapılan matematik öğretiminin öğrencilerin
akademik başarısı, problem çözme becerisi ve yaratıcılığı üzerindeki etkisinin
incelenmesi (Yayınlanmamış Doktora Tezi). Gazi Üniversitesi, Ankara.
Akay, H., & Boz, N. (2008). Prospective teachers’ views about problem-posing activities.
Procedia Social and Behavioral Sciences, 1, 1192–1198.
Akay, H., & Boz, N. (2010). The effect of problem posing oriented analyses-II course on the
attitudes toward mathematics and mathematics self-efficacy of elementary prospective
mathematics teachers. Australian Journal of Teacher Education, 35(1), 59-75.
Amato, A. S. (2005). Developıng students’ understandıng of the concept of fractıons as
numbers. Proceedings of the 29th Conference of the International Group for the
Psychology of Mathematics Education, Australia.
Barlow, A. T., & Cates, J. M. (2010). The impact of problem posing on elementary teachers'
beliefs about mathematics and mathematics teaching. School Science and Mathematics,
106(2), 64-73.
Barlow, A. T., & Drake, J. M. (2008). Division by a fraction: Assessing understanding
through problem writing. Teaching Children Mathematics, 13, 326-332.
Brown, S. I., & Walter, M. I. (1993). Problem posing in mathematics education. In S. I.
Brown & M. I. Walter (Eds.), Problem posing: Reflection and applications (pp. 16-27).
Hillsdale, NJ: Lawrence Erlbaum Associates.
Bulgar, S. (2003). Children's sense-making of division of fractions. The Journal of
Mathematical Behavior, 20, 319-334.
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.
Cankoy, O., & Darbaz, S. (2010). Effect of a problem posing based problem solving
instruction on understanding problem. Hacettepe University Journal of Education, 38,
11-24.
Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). An
empirical taxonomy of problem posing processes. ZDM, 37(3), 149 – 158.
Corbin, J. M., & Strauss, A. C. (2007). Basics of qualitative research: Techniques and
procedures for developing grounded theory. Thousand Oaks, CA: Sage Publication.
Crespo, S., & Sinclair, N. (2008). What makes a problem mathematically interesting?
Inviting prospective teachers to pose better problems. Journal Mathematics Teacher
Education, 11, 395–415.
Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice
teachers’ practices. Educational Studies in Mathematics, 52, 243–270.
Cunningham, R. (2004). Problem posing: an opportunity for increasing student responsibility.
Mathematics and Computer Education, 38(1), 83-89.
Dede, Y., & Yaman, S. (2005). Investigation of prospective teachers’ mathematical problem
posing and problem solving skills. Eurasian Journal of Educational Research, 18, 236–
252.
Cumhuriyet International Journal of Education
e–ISSN: 2147-1606
42
Vol 2 / No 1 / January 2013
Dickerson, V. M. (1999). The impact of problem-posing instruction on the mathematical
problem-solving achievement of seventh graders (Unpublished doctoral dissertation).
University of Emory, Atlanta.
Dooren, W. V., Verschaffel, L., & Onghena, P. (2002). The impact of preservice teachers’
content knowledge on their evaluation of students’ strategies for solving arithmetic and
algebra words problems. Journal for Research in Mathematics Education, 33(5), 319-351.
English, L. D., & Halford, G. S. (1995). Mathematics education: Models and processes. New
Jersey: Lawrence Erlbaum Associates.
English, L. D. (1997). The development of fifth-grade children’s problem-posing abilities.
Educational Studies in Mathematics, 34, 183-217.
English, L. D. (1998). Children’s problem posing within formal and informal contexts.
Journal for Research in Mathematics Education, 29(1), 83-106.
English, L. D. (2003). Problem posing in elementary curriculum. In F. Lester, & R. Charles
(Eds.), Teaching mathematics through problem solving. Reston, Virginia: National
Council of Teachers of Mathematics.
Fennema, E., & Franke, M. (2006). Teachers’ knowledge and its impact. In Grouws, D.A.
(Ed). Handbook of Research on Mathematics Teaching and Learning (p.147-164),
Reston, VA: NCTM.
Gonzales, N. A. (1998). A blueprint for problem posing. School Science and Mathematics,
94(2), 78- 85.
Hasemann, K. (1981). On difficulties with fractions. Educational Studies in Mathematics 12,
71-87.
Herman, J., Ilucova, L., Kremsova, V., Pribyl, J., Ruppeldtova, J., Simpson, A., Stehlikova,
N., Sulista, M., & Ulrychova, M. (2004). Images of fractions as process and images of
fractions in processes. Proceedings of the 28th Conference of the International Group of
the Psychology of Mathematics Education, Bergen.
Hill, H. C., Rowan, B. & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for
teaching on student achievement. American Educational Research Journal, 42(2), 371–
406.
Işık, C. (2011). İlköğretim matematik öğretmeni adaylarının kesirlerde çarpma ve bölmeye
yönelik kurdukları problemlerin kavramsal analizi. Hacettepe Üniversitesi Eğitim
Fakültesi Dergisi, 41, 231-243.
Işık, C., Işık, A., & Kar, T. (2011). Öğretmen adaylarının sözel ve görsel temsillere yönelik
kurdukları problemlerin analizi. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 39-49.
Işık, C., & Kar, T. (2012a) The Analysis of the Problems Posed by the Preservice Teachers
About Equations. Australian Journal of Teacher Education, 37(9), 92-113.
Işık, C., & Kar, T. (2012b). 7. sınıf öğrencilerinin kesirlerde toplama işlemine kurdukları
problemlerin analizi. İlköğretim Online, 11(4), 1021-1035. [Online]: http://ilkogretim-online.org.tr adresinden 12.09.2012 tarihinde edinilmiştir.
Işık, C. & Kar, T. (2012c). Matematik Dersinde Problem Kurmaya Yönelik Öğretmen
Görüşleri Üzerine Nitel Bir Çalışma. Milli Eğitim Dergisi, 194, 199-215.
Işık, C., Kar, T., Işık, A. & Albayrak, M. (2012). İlköğretim 6. sınıf öğrencilerinin doğal
sayılarda kalanlı bölme işlemine yönelik problem kurma ve çözme becerilerinin
araştırılması. 11. Ulusal Sınıf Öğretmenliği Eğitimi Sempozyumu, Rize.
Kar, T., Özdemir, E., İpek, A. S., & Albayrak, M. (2010). The relation between the problem
posing and problem solving skills of prospective elementary mathematics teachers.
Social and Behavioral Sciences, 2, 1577–1583.
Cumhuriyet International Journal of Education
e–ISSN: 2147-1606
43
Vol 2 / No 1 / January 2013
Kerslake, D. (1986). Fractions: Children ’s strategies and errors. A report of the strategies
and errors in secondary mathematics project. Windsor, England: NFER-Nelson.
Knott, L. (2010). Problem posing from the foundations of mathematics. TMME, 7, 413-432.
Kulm, G. (2008). Teachers’ mathematics knowledge. School Science and Mathematics, 108,
2-3.
Lavy, I., & Shriki, A. (2007). Problem posing as a means for developing mathematical
knowledge of prospective teachers. Paper presented at the meeting of 31st Conference
of the International Group for the Psychology of Mathematics Education, Seoul.
Leung, S. S. (1993). The relation of mathematical knowledge and creative thinking to the
mathematical problem posing of prospective elementary school teachers on tasks
differing in numerical information content (Unpublished doctoral dissertation).
Pittsburg.
Lowrie, T. (2002). Young children posing problems: the influence of teacher intervention on
the type of problems children pose. Mathematics Education Research Journal,14(2),
87-98.
Luft, J. A., & Gillian, H. R. (2007). Capturing Science Teachers’ Epistemological Beliefs:
The Development of the Teacher Beliefs Interview. Electronic Journal of Science
Education, 11(2), 38-63.
Luo, F. (2009). Evaluating the effectiveness and insights of preservice elementary teachers’
abilities to construct word problems for fraction multiplication. Journal of Mathematics
Education, 2(1), 83-98.
Mack, N. K. (1995). Confounding whole-number and fraction concepts when building on
informal knowledge. Journal for Research in Mathematics Education, 26(5), 422-441.
Mcmillan, H. J., & Schumacher, S. (2010). Research in education. Boston, USA: Pearson
Education.
Milli Eğitim Bakanlığı [MEB], (2009). İlköğretim matematik dersi 1-5. Sınıflar öğretim
programı. Ankara: Devlet Kitapları Müdürlüğü.
Milli Eğitim Bakanlığı[MEB], (2009). İlköğretim matematik dersi 6-8. Sınıflar öğretim
programı ve kılavuzu. Ankara: Devlet Kitapları Müdürlüğü.
National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standard for
school mathematics. Reston, VA: National Council of Teachers of Mathematics.
Ni, Y., & Zhou, Y. D. (2005). Teaching and learning fraction and rational numbers: The
origins and implications of whole number bias. Educational Psychologist, 40(1), 27–52.
Nicolaou, A. A., & Philippou, G. N. (2007). Efficacy beliefs, problem posing, and
mathematics achievement. Focus on Learning Problems in Mathematics, 29(4), 48-70.
Rizvi, N. F., & Lawson, M. J. (2007). Prospective teachers’ knowledge: Concept of division.
International Education Journal, 8(2), 377-392.
Rizvi, N. F. (2004). Prospective teachers’ ability to pose word problems.
http://www.cimt.plymouth.ac.uk/Journal/rizvi.pdf adresinden 17.10.2011 tarihinde
alınmıştır.
Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard
Educational Review, 57(1), 1-22.
Siegler, R. S. (2003). Implications of cognitive science research for mathematics education. In
Kilpatrick, J., Martin, W. B., & Schifter, D. E. (Eds.), A research companion to
principles and standards for school mathematics (pp. 219-233). Reston, VA: National
Council of Teachers of Mathmatics.
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, 521–539.
Cumhuriyet International Journal of Education
e–ISSN: 2147-1606
44
Vol 2 / No 1 / January 2013
Silver, E. A., & Cai, J. (2005). Assessing students’ mathematical problem posing.
Teaching Children Mathematics, 12(3), 129-135.
Smith, M. (2000). Redefining success in mathematics teaching and learning. Mathematics
Teaching in the Middle School, 5(6), 378-386.
Stickles, P. R. (2006). An analysis of secondary and middle school teachers’ mathematical
problem posing (Unpublished doctoral dissertation). University of Indiana,
Bloomington.
Stoyanova, E. (1998). Problem posing in mathematics classrooms. In A. McIntosh, & N.
Ellerton (Eds.), Research in mathematics education: A contemporary perspective
(pp.164-185). Perth: MASTEC Publication.
Stoyanova, E., & Ellerton, N. F. (1996). A framework for research into students’ problem
posing. In P. Clarkson (Ed.), Technology in Mathematics Education (pp.518–525).
Melbourne: Mathematics Education Research Group of Australasia.
Ticha, M., & Hošpesová, A. (2009). Problem posing and development of pedagogical content
knowledge in pre-service teacher training. Paper presented at the meeting of CERME 6,
Lyon.
Toluk-Uçar, Z. (2009). Developing pre-service teachers understanding of fractions through
problem posing, Teaching and Teacher Education, 25, 166–175.
Whiten, D. J. (2004). Building a mathematical community through problem posing. In R. N.
Rubenstein & G. W. Bright (Eds.), Perspectives on the teaching of mathematics: Sixty-sixth yearbook (pp. 129-140). Reston, VA: National Council of Teachers of
Mathematics.
Yıldırım, A., & Şimşek, H. (2008). Sosyal bilimlerde nitel araştırma yöntemleri, Ankara,
Seçkin Yayıncılık.
Yuan, X., & Sriraman, B. (2010). An exploratory study of relationshıps between students’
creativity and mathematical problem-posing abilities. In B.Sriraman, K. Lee (eds.), The
Elements of Creativity and Giftedness in Mathematics, xx–xy.
Zakaria, E., & Ngah, N. (2011). A preliminary analysis of students’ problem-posing ability
and its relationship to attitudes towards problem solving. Research Journal of Applied Sciences, Engineering and Technology, 3(9), 866-870
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