Problem Posing Activities in Primary School Mathematics Textbooks

Yasemin Deringöl

Abstract


Textbooks are important for mathematics as they are for other courses. Problem posing is one of the important activities in mathematics education. In this manner, the goal of this study is to analyse the problem-posing activities in primary school mathematics textbooks offered by Ministry of National Education and used in 2017-2018 and 2018-2019 school years. For this purpose, 10 primary school mathematics textbooks were analysed with document analysis method according to their years, grade levels, learning domains, sub-learning domains and types of problem posing. It was achieved that the number of activities in the textbooks in the school year of 2017-2018 were more in number than activities in the textbooks used in the school year of 2018-2019 in all grade levels except second grade level as a result of the analysis according to number of problem posing, learning domains that it includes, the number of sub-learning and types. In addition, no problem posing activity was found in any of the first-grade books. It is considered that increasing the number of problem-posing activities in the textbooks and diversifying the problem-posing type are necessary.

Keywords: Mathematics, primary school mathematics textbooks, problem posing

Keywords


Mathematics, primary school mathematics textbooks, problem posing

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References


Akay, H. (2006). The examination of the effect of mathematics instruction with problem posing approach on students' academic achievement, problem solving ability and creativity. PhD thesis, University of Gazi Ankara, Turkey.

Alajmi, A. H. (2012). How do elementary textbooks address fractions? A review of mathematics textbooks in the USA, Japan and Kuwait. Educational Studies in Mathematics, 79(2), 239-261.

Altun, M. (2001). Teaching Mathematics. Bursa: Erkam Printing press.

Arıkan, E. E. & Ünal, H. (2013). The Analysis of Mathematical Problem Posing Skill of Elementary Second Grade Students. Amasya Education Journal, 2(2), 305-325.

Artut, P. D. & Ildırı, A. (2013). Examining the problems in mathematics textbook and workbook according to some criteria. C.U. Journal of Institute of Social Sciences, 22(2), 349-364.

Ayçiçeği, A. & Oktay, A. (1996). Examination of physical properties of primary and secondary school textbooks. Marmara University Atatürk Education Faculty Journal of Educational Sciences,, 8, 33-40.

Ball, D. L. & Cohen, D. K. (1996). Reform by the book: What is: Or might be: The role of curriculum materials in teacher learning and instructional reform? Educational researcher, 25(9), 6-14.

Baltacı, A. (2018). A Conceptual Review of Sampling Methods and Sample Size Problems in Qualitative Research. Journal of Bitlis Eren University Institute of Social Sciences,7(1), 231-274.

Bozkurt, A. & Kuran, K. (2016). Teachers’ Opinions about Implementing Activities in Mathematics Textbooks and Designing Their Own Mathematics Activities. Ege Journal of Education, 17, 2, 377-398.

Bulut, A. & Tertemiz, N. (2013). Examining the views of primary school teachers and students about the use of mathematics books in terms of some variables. International Journal of Educational Programs and Instructional Studies, 3, 5, 69-86.

Cai, J. (1998). An investigation of U.S. and Chinese students’mathematical problem posing and problem solving. Mathematics Education Research Journal, 10 (1), 37-50.

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. Doi:: 10.1080/00207390310001595401

Cai, J. & Hwang, S. (2002). Generalized and generative thinking in U.S. and Chinese students’mathematical problem solving and problem posing. Journal of Mathematical Behavior, 21(4), 401-421.

Cai, J., Moyer, J. C., Wang, N., Hwang, S., Nie, B., & Garber, T. (2013). Mathematical problem posing as a measure of curricular effect on students’learning. Educational Studies in Mathematics, 83(1), 57-69.

Cai, J. & Jiang, C. (2017). An Analysis of Problem-Posing Tasks in Chinese and US Elementary Mathematics Textbooks. Int J of Sci and Math Educ, 15, 1521-1540. Doi: 10.1007/s10763-016-9758-2

Cankoy, O. & Darbaz, S. (2010). Effect of a problem posing based problem solving instruction on understanding problem. H. U. 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.

Çakır, İ. (2009). The evaluation of the fifth grade mathematics textbooks of the primary education according to the views of the teachers and students. Master Thesis, University of Çukurova, Adana, Turkey.

Çarkçı, İ. (2016). Investigation of the problems encountered by 4th grade primary students in different problem posing situations. Master Thesis, University of Gazi, Ankara, Turkey.

Dayak, E. (1998). Evaluation of the appropriateness of primary school 5th grade textbooks to education. Master Thesis, University of Marmara, Istanbul, Turkey.

Engin, Ö. (2015). A comparison of the cognitive demand levels of tasks in 7th grade mathematics textbook in turkey with those in the national curriculum and the textbooks of other countries. Master Thesis, University of Ankara, Ankara, Turkey.

English, L. D. (1997). The development of fifth-grade children’s problem-posing abilities. Educational Studies in Mathematics, 34(3),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.

Ev-Çimen, E. & Yıldız, Ş. (2017). An Investigation of Problem Posing Activities in Secondary School Mathematics Textbooks. Turkish Journal of Computer and Mathematics Education, 8(3), 378-407.

Fan, L. & Zhu, Y. (2007). Representation of problem-solving procedures: A comparative look at China, Singapore, and US mathematics textbooks. Educational Studies in Mathematics, 66, 61-75.

Gökkurt, B., Örnek, T., Hayat, F., & Soylu, Y. (2015). Assessing Students’ Problem-Solving and Problem-Posing Skills. Bartın University Journal of Faculty of Education, 4, 2, 751-774.

Güngör, H. (2014). The impact of the use of the supplementary book on teaching fractions subject on the 4th grade primary school math class student achievement. Master Thesis, University of Yüzüncü Yıl Üniversitesi, Van, Turkey.

Ildırı, A. (2009). The investigation of problems in the fifth grade mathematics textbook and study book of student of the primary education and the definition opinions of the teachers about this problems. Master Thesis, University of Çukurova, Adana, Turkey.

Işık, C. (2008). The factors affecting the use of mathematics textbook of mathematics teachers at primary education (grades 6-8) and their expectations. Kastamonu Education Journal, 16(1), 163-176.

Işık, Ö. (2010). Primary 4, 5, 6 installation problem in terms of mathematics books for classes investigation activities thesis of graduate degree. Master Thesis, University of Cumhuriyet, Sivas, Turkey.

İzmirligil, G. N. (2008). Evaluation of primary school mathematics textbooks and workbooks concerning constructivist approaches. Master Thesis, University of Dokuz Eylül, Izmir, Turkey.

Kaban-Sarıkıyak, İ. (2006). It is about devoloping attidue towards maths of the implemented changes which has been done in the first level books in elementery education in the frame of 2004 education curriculum of the Ministry of Education. Master Thesis, University of Selçuk, Konya, Turkey.

Kalaycı, Y. (2014). The investigation of problem posing activities in the mathematics textbooks and work books of students of the primary/elementary education and the determination of teachers' views on problem posing. Master Thesis, University of Atatürk, Erzurum,Turkey.

Karakelleoğlu, S. (2007). Primary school 4th class mathematics opinions of theachers, students and specialist on textbooks. Master Thesis, University of Balıkesir, Balıkesir, Turkey.

Kartal, E. (2017). An investigation of 4th grade students' abilities of solving and posing problems given in symbolic, numerical and word formats. Master Thesis, University of Eskişehir Osmangazi, Eskişehir, Turkey.

Kaya, A. & Azar, A. (2010). The views of teachers on the activities in the mathematic text books of the fourth and the fifth classes in primary education. National Education Journal, 187, 269-292.

Keleş, E. (2001). Physics textbooks evaluation scale. Master Thesis, University of Karadeniz Technical, Trabzon, Turkey.

Kılıç, Ç. (2011). Investigating Problem Posing Activities in Primary School Mathematics Curriculum (1-5 Grades. Mersin University Journal of the Faculty of Education, 7(2), 54-65.

Kılıç, Ç. (2014). Determination of primary teachers’ perception forms related to problem posing. Kastamonu Education Journal, 22, 1, 203-214.

Kilpatrick, J. (1987). Formulating the problem: Where do good problems come from? In A. H. Schoenfeld (Ed.), Cognitive Science and Mathematics Education (pp. 123-147). Hillsdale, NJ: Lawrence Erlbaum Associates.

Köse, N. Y. & Tanışlı, D. (2011). Equal Sign and Relational Thinking in Elementary Mathematics Textbooks. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 5, 8, 251-277.

Li, Y. (2000). A Comparison of problems that follow selected content presentations in American and Chinese mathematics textbooks. Journal for Research in Mathematics Education, 31, 2, 234-241.

Lin, J. (2004). Supporting teachers on designing problem-posing tasks as a tool of assessment to understand students’mathematical learning. Proceeding of the 28th Annual Meeting of the International Group for the Psychology of Mathematics Education, 3, 257-264, Bergen, Norway: Bergen University College.

Lowrie, T.(1999). Free Problem-Posing: Year 3/4 Students Constructing Problems for Friends to Solve. MERGA, 22, 328-335.

Mathematics Education Program (2018) (Primary and Secondary School Grades 1, 2, 3, 4, 5, 6, 7 and 8). MEB: Ankara.

Ministry of Education Textbooks Regulation-MEB (2012) http://mevzuat.meb.gov.tr/dosyalar/1605.pdf

NCTM (2000). Principles and standards for school mathematics. National Council Teachers of Mathematics Pub, Reston: VA.

Nuha, M.A., Waluya, S.B., & Junaedi I. (2017). Mathematical creative process wallas model in students problem posing with lesson study approach. International Journal of Instruction, 11(2), 527-538.

Pratama, G. S. & Retnawati, H. (2018). Urgency of higher order thinking skills (HOTS) content analysis in mathematics textbook. IOP Conf. Series: Journal of Physics: Conf. Series, 1097 012147. Doi :10.1088/1742-6596/1097/1/01214

Rosli, R., Goldsby, D. & Capraro, R. M. (2013). Assessing students’mathematical problem-solving and problem-posing skills. Asian Social Science, Vol. 9, No. 16, 54-60.

Rosli, R., Capraro, M. M., & Capraro, R. M. (2014). The effects of problem posing on student mathematical learning: A meta-analysis. International Education Studies, Vol. 7, No, 227-241.

Reçber, H. (2012). An international comparison of level of cognitive demands of the tasks in Turkey's 8th grade mathematics curriculum and textbook. Master Thesis, University of Ankara, Ankara, Turkey.

Sarpkaya, G. (2011). The investigation of mathematical tasks related to piimary school secondary level algebra learning field in terms of cognitive demands: Mathematics course books and classroom implementations. PhD thesis, University of Gazi, Ankara, Turkey.

Semerci, Ç. (2004). A Scale for General Evaluation of Turkish and Mathematics Textbooks about Elementary Education. C.U. Journal of Social Sciences, 28, 1, 49-54.

Semerci, N. & Semerci, Ç. (2004). A general assessment of mathematics textbooks in primary education (1-5). Journal of National Education, 162.

http://dhgm.meb.gov.tr/yayimlar/dergiler/milli_egitim_dergisi/162/semerci.htm

Sidenvall, J., Lithner, J., & Jäder, J. (2014). Students’reasoning in mathematics textbook task-solving. International Journal of Mathematical Education in Science and Technology, 46(4), 533-552. Doi: 10.1080/0020739X.2014.992986

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.

Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM, Volume 29, Issue 3, 75-80.

Silver, E. A. & Cai, J. (2005). Assessing students’mathematical: Problem possing. Teaching Children Mathematics, Vol. 12, No. 3, 129-135.

Singer, F. M., Ellerton, N., & Cai, J. (2013). Problem-posing research in mathematics education: New questions and directions. Educational Studies in Mathematics, 83(1), 1-7.

Singh, P. & Hoon, T. S. (2010). An analaysis of addition and subtraction word problems in mathematics textbooks used in Malaysian primary school classrooms. Brunei International Journal of Science and Mathematics Education, 2(1), 68-85.

Stoyanova, E. N. (1997). Extending and exploring students’problem solving via problem posing: A study of years 8 and 9 students involved in mathematics challenge and enrichment stages of euler enrichment program for young Australians. PhD thesis, Cowan University, Sofya.

Stoyanova, E. N. (2003). Extending students’understanding of mathematics via problem posing. Australian Mathematics Teacher, 2, 32-40.

Suarsana, I. M., Lestari, I. A. P. D., & Mertasari, N. M. S. (2019). The effect of online problem posing on students’problem-solving abilitiy in mathematics. International Journal of Instruction, 12(1), 809-820.

Taşdemir, C. (2011). Evaluating of mathematic lesson books taught in first grade of elementary school according to the views of teachers (An example for Bitlis city). Dicle University Journal of Ziya Gökalp Education Faculty,, 16, 16-27.

Tertemiz, N. I., Özkan, T., Çoban-Sural, Ü., & Ünlütürk-Akçakın, H. (2015). Investigation of the problem structures based on four processing skills in the primary school (1-4) math textbooks. International Journal of Turkish Educational Sciences, 119-137.

Toluk, Z. & Olkun, S. (2002). Problem solving in Turkish matematics education: Primary school mathematics textbooks. Educational Sciences: Theory & Practice, 2(2), 579-582.

Turhan, B. & Güven, M. (2014). The Effect of Mathematics Instruction With Problem Posing Approach On Problem Solving Success, Problem Posing Ability And Views Towards Mathematics. Cukurova University Faculty of Education Journal, 43(2), 217-234.

Usta, A. (2018). Investigation of problems regarding multiplication and division with natural numbers in primary school mathematics textbooks. Master Thesis, University of Recep Tayyip Erdoğan, Rize, Turkey.

Winograd, K. (1991). Writing, solving and sharing original math story problems: Case studies in the cognitive behaviors of fifth grade children. Unpublished PhD thesis, University of Northern Colorada.

Yan, Z. & Lianghuo, F.(2006). Focus on the representation of problem types in intended curriculum: A comparison of selected mathematics textbook from Mainland China and The United States. International Journal of Science and Mathematics Education, 4, 609-626.

Yıldırım, A. & Şimşek, H. (2006). Qualitative research methods in the social sciences. Ankara: Seçkin publishing.


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