Pre-service Mathematics Teacher' Opinions about Process of Designing Worksheets with Cabri Software and Their Use in Geometry Teaching

Abstract

In this study, it was aimed to examine the opinions of pre-service mathematics teachers on the process of designing worksheets with the help of Cabri software and the use of these worksheets in geometry teaching. In line with the aim of the study, Cabri Geometry II and Cabri 3D software systems were introduced to pre-service teachers during 12 weeks. The teachers were shown sample worksheets designed by using these software systems and they were asked to prepare worksheets by groups and use them in the classroom environment. Following the training session, the data of the study were collected through face to face semi structured interviews with 41 4th grade pre-service mathematics teachers. The data of the study were analyzed by content analysis method and the codes were collected under six themes. The result showed that most of the participants wanted to design and use worksheets with Cabri software in their future professional life; however, some of the participants were undecided about using these worksheets because of lack of time, crowded classes and lack of equipment. The participants stated that the use of these worksheets has advantages such as concretizing the concepts, discovering, drawing attention, permanent and easy learning. As disadvantages, pre-service teachers stated that it can cause loss of time, the software is difficult to use, that the software is paid, that it is difficult to use in crowded classrooms and that it can cause misconceptions. During the training, it was determined that the pre-service teachers had difficulties due to the lack of technological pedagogical content knowledge and the paid Cabri software. At the end of the training, it was observed that the participants were of the opinion that they showed professional and personal development.

Keywords

• Cabri software
• Worksheets
• Dynamic geometry software
• Pre-service mathematics teachers

Matematik Öğretmeni Adaylarının Cabri Yazılımıyla Çalışma Yaprakları Tasarlama Süreci ile Bunların Geometri Öğretiminde Kullanılması Üzerine Görüşleri

Abstract

Bu çalışmada, ilköğretim matematik öğretmeni adaylarının Cabri yazılımı yardımıyla çalışma yaprakları tasarlama sürecine ve bu çalışma yapraklarının geometri öğretiminde kullanılmasına ilişkin görüşlerinin incelenmesi amaçlanmıştır. Bu amaç doğrultusunda 12 hafta boyunca öğretmen adaylarına Cabri Geometry II ve Cabri 3D yazılımları tanıtılmış daha sonra hep birlikte bazı kazanımlara yönelik örnek çalışma yaprakları tasarlanmış son olarak da öğretmen adaylarından ikişerli gruplar halinde çalışma yaprakları tasarlamaları ve sunmaları istenmiştir. Verilen eğitimin sonrasında araştırmanın verileri, gönüllü olan 41 dördüncü sınıf matematik öğretmeni adayıyla birebir gerçekleştirilen yarı yapılandırılmış görüşmeler yardımıyla toplanmıştır. Elde edilen veriler içerik analizi ile analiz edilerek kodlar altı tema altında toplanmıştır. Araştırmanın sonunda katılımcıların çoğunluğunun ilerideki meslek hayatlarında Cabri yazılımı ile tasarlanan çalışma yapraklarını kullanmak istedikleri, diğer katılımcıların ise zaman sıkıntısı, sınıfların kalabalık olması, donanım eksikliği gibi nedenlerle kararsız kaldıkları görülmüştür. Katılımcılar çalışma yapraklarının kullanımının kavramları somutlaştırma, keşfetme, dikkat çekme, kalıcı ve kolay öğrenme gibi avantajları olduğunu belirtmişlerdir. Dezavantajları olarak ise zaman kaybını, yazılımın kullanılmasının zor olmasını, yazılımın ücretli olmasını, sınıf hakimiyetinin zor olmasını ve kavram yanılgılarına sebep olabileceğini göstermişlerdir. Verilen eğitim sırasında öğretmen adaylarının teknolojik pedagojik alan bilgilerinin eksikliği ve Cabri programının ücretli olması nedeniyle zorluk yaşadıkları belirlenmiştir. Eğitimin sonunda ise katılımcıların mesleki ve kişisel gelişim gösterdikleri görüşünde oldukları görülmüştür.

Keywords

• Cabri yazılımı
• Çalışma yaprakları,
• Dinamik geometri yazılımları
• Matematik öğretmeni adayları

References

1. Akkoç, H. (2013). Integrating technological pedagogical content knowledge (TPCK) framework into teacher education. Conference of the International Journal of Arts and Science, 6(2), 263-270.
2. Aktümen, M., Yıldız, A., Horzum, T. ve Ceylan, T. (2011). The views of primary school mathematics teachers on the applicability of geogebra software in courses. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2(2), 103-120.
3. Akyüz, D. (2016). TPACK analysis of preservice teachers under different instruction methods and class levels. Turkish Journal of Computer and Mathematics Education, 7(1), 89-111.
4. Alakoç, Z. (2003). Technological modern teaching approaches in mathematics teaching. The Turkish Online Journal of Educational Technology, 2, 43-49.
5. Atasoy, E., Uzun, N. ve Aygün, B. (2015). Investigating pre-service teachers' technological pedagogical content knowledge in learning environment supported by dynamic mathematics software. Bartin University Journal of Faculty of Education, 4(2), 611-633.
6. Avcı, U., Kula, A. ve Haşlaman, T. (2019). Teachers’ opinions on technology that they want to ıntegrate into the learning-teaching process. Acta Infologica, 3(1), 13-21.
7. Baki, A. (2001). Bilişim teknolojisi ışığı altında matematik eğitiminin değerlendirilmesi. Milli Eğitim Dergisi, 149, 26-31.
8. Baki, A. (2006). Kuramdan uygulamaya matematik eğitimi. Trabzon: Derya Kitabevi.

9. Balkı E. ve Saban A. (2009). Teachers’ perceptions and practices of ınformation technologies: the case of private Esentepe elementary school. Elementary Education Online, 8(3), 771-781.
10. Bayraktar, B., Tapan-Broutin, M. S. ve Güneş, H. (2018). Investigation of the effect of Cabri 3D use on teacher candidates’ analytic geometry achievements. Academy Journal of Educational Sciences, 2(2), 172-192.
11. Berger, M. (2011). A framework for examining characteristics of computer-based mathematical tasks. African Journal of Research in Mathematics, Science and Technology Education, 15(2), 3-15.
12. Bintaş, J. ve Bağcıvan, B. (2007). Computer assisted geometry teaching in seventh grade. HAYEF Journal of Education, 7, 33-45.
13. Bowers, J. S. ve Stephens, B. (2011). Using technology to explore mathematical relationships: A framework for orienting mathematics courses for prospective teachers. Journal of Mathematics Teacher Education, 14(4), 285-304.
14. Bozkurt, A., Bindak, R. ve Demir, S. (2011). Mathematics teacher’s views about use of computer in lessons and suitability of their workplace. e-Journal of New World Sciences Academy,6(2), 1747-1758.
15. Bozkurt, K. ve Karacabey, M. F. (2019). Information technology use in education through the FATIH Project: How far has it gone? Journal of Education for Life, 33(1), 7-32.
16. Chauldhary, P. ve Sharma, S. (2012). ICT in the 21st century classroom. International Journal of Basic and Advanced Research, 1(1), 1-5.
17. Couco, A. A. ve Goldenberg, E. P. (1996). A role for technology in mathematics education. Journal of Education, 178(2), 15-32.
18. Çavuş, H. ve İnan-Eskitaşçıoğlu, E. (2016). Mathematics teachers’ usage levels of the computer and mathematics programs at the educational contexts in Turkey. Journal of Kirsehir Education Faculty, 17(3), 457-475.
19. Demir, S. ve Özmantar, M. F. (2013). Teknoloji destekli matematik öğretiminde pedagojik prensipler İçinde M. Doğan ve E. Karakırık (Ed.), Matematik Eğitiminde Teknoloji Kullanımı (pp. 1-26). Konya: Atlas Yayıncılık.
20. Erduran, A. ve Tataroğlu-Taşdan, B. (2018). Examining pre-service mathematics teachers’ views about technology and their integration processes of technology into lessons. Educational Technology Theory and Practice, 8(1), 273-296.
21. Er, S. ve Sağlam-Kaya, Y. (2017). Prospective secondary mathematics teachers’ views on task design at geogebra environment. Mersin University Journal of the Faculty of Education, 13(1), 228-242.
22. Freixas, M., Joan-Arinyo, R. ve Soto-Riera, A. (2010). A constraint-based dynamic geometry system. Computer-Aided Design, 42, 151-161.
23. Genç, G. ve Öksüz, C. (2016). Teaching 5th grades polygon and quadrilateral subjects through dynamic mathematic software. Kastamonu Education Journal, 24(3), 1551-1566.
24. Gökçe, S., Aydoğan-Yenmez, A. ve Özpınar, İ. (2016). Mathematics teachers’ opinions on worksheets prepared with GeoGebra. Turkish Journal of Computer and Mathematics Education, 7(1), 164-187.
25. Gökkurt, B., Deniz, D., Soylu, Y. ve Akgün, L. (2012). Students’ views about work sheets prepared with the dynamic geometry software: Area example on prisims. Journal of Research in Education and Teaching, 1(3), 351-356.
26. Gündüz, S. ve Odabaşı, F. (2004). The importance of instructional technologies and material development course at pre-service teacher education in information age. The Turkish Online Journal of Educational Technology-TOJET, 3(1), 43-48.
27. Gürbüz, R. ve Gülburnu, M. (2013). Effect of teaching geometry with use Cabri 3D in eighth grade on conceptual learning. Turkish Journal of Computer and Mathematics Education, 4(3), 224-241.
28. Güven, B. (2002). Exploratory geometry learning within Cabri-based environment. Published Master’s Thesis, Karadeniz Teknik University, Trabzon.
29. Güven, B. ve Karataş, İ. (2003). Learning geometry with dynamic geometry software Cabri: Student views. The Turkish Online Journal of Educational Technology, 2(2), 10.
30. Güven, B. ve Karataş, İ. (2005). Design of constructivist learning environment with dynamic geometry software Cabri: A model. Elementary Education Online, 4(1), 62-72.
31. Güven, B. ve Kösa, T. (2008). The effect of dynamic geometry software on student mathematics teachers’ spatial visualization skills. The Turkish Online Journal of Educational Technology, 7(4), 100-107.
32. Harris, J. B. ve Hofer, M. J. (2011). Technological pedagogical content knowledge (TPACK) in action: a descriptive study of secondary teachers' curriculum-based, technology-related instructional planning. Journal of Research On Technology İn Education. 43(3), 211-229.
33. Hohenwarter, J., Hohenwarter, M. ve Lavicza, Z. (2008). Introducing dynamic mathematics software to secondary school teachers: The case of GeoGebra. II. of Computers in Mathematics and Science Teaching, 28(2), 135-146.
34. Kağızmanlı, T. B., Tatar, E. ve Akkaya, A. (2011). Analytic analysis of lines with dynamic mathematical software. Procedia Social and Behavioral Sciences, 15, 2505-2509.
35. Kaleli-Yılmaz, G., Ertem, E. ve Güven, B. (2010). Dynamic geometry software of Cabri’s influence on 11 grade students’ to learn in trigonometry issues. Turkish Journal of Computer and Mathematics Education, 1(2), 200-216.
36. Karataş, İ., Pişkin-Tunç, M., Demiray, E. ve Yılmaz, N. (2016). The development of pre-service teachers’ technological pedagogical content knowledge in mathematics instruction. Journal of Abant İzzet Baysal Education Faculty, 16(2), 512-533.
37. Kayaduman, H., Sırakaya, M. ve Seferoğlu, S. S. (2011). Examination of FATİH project in terms of teachers' competence status in education. Academic Informatics was retrieved from the address of http://ab.org.tr/ab11/kitap/kayaduman_sirakaya_AB11.pdf on 20 February 2019.
38. Kokol-Voljc, V. (2007).Use of mathematical software in pre-service teacher training: The case of dgs. Proceedings of British Society for Research into Learning Mathematics, 27(3), 55-60.
39. Kordaki, M. ve Balomenou, A. (2006). Challenging students to view the concept of area in triangles in a broad context: Exploiting the features of Cabri-II. International Journal of Computers for Mathematical Learning, 11(1), 99-135.
40. Kösa, T. ve Kalay, H. (2016). Teaching multiple cubical geometrical structures topic with Cabri 3D: Students’ views. Dicle University Journal of Ziya Gökalp Faculty of Education, 27, 47-58.
41. Livingstone, S. (2012). Critical reflections on the benefits of ICT in education. Oxford Review of Education, 38(1), 9-24.
42. Lopez-Real, F. ve Leung, A. (2006). Dragging as a conceptual tool in dynamic geometry environments. International Journal of Mathematical Education in Science and Technology, 37(6), 665-679.
43. Merriam, S. B. (2015). Nitel araştırma desen ve uygulama için bir rehber (S. Turan, Çev. Ed.). Ankara: Nobel Akademik Yayıncılık.
44. Miles, M. B. ve Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. Beverly Hills: Sage Publications.
45. Milli Eğitim Bakanlığı (MEB), (2010). “Eğitimde fırsatları artırma ve teknolojiyi iyileştirme hareketi (FATİH) projesi- Proje hakkında”. Milli Eğitim Bakanlığı Fatih Projesi Resmi Web Sitesi, http://fatihprojesi.meb.gov.tr/site/projehakkinda.php, (10-Ocak-2019).
46. Milli Eğitim Bakanlığı (MEB), (2005). İlköğretim matematik programı. Ankara: Milli Eğitim Basımevi.
47. Milli Eğitim Bakanlığı (MEB), (2013). Ortaokul matematik dersi öğretim programı. Ankara: MEB.
48. Milli Eğitim Bakanlığı (MEB), (2018). Matematik dersi öğretim programı. Ankara: MEB.
49. National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA20191-9988.
50. Niess, M. ve Garofalo, J. (2006). Preparing teachers to teach mathematics with technology: key issues, concerns and research questions. Society for Information Technology and Teacher Education International Conference (SITE), (pp. 3796-3801). Orlando, Florida, USA: AACE.
51. Öçal, M. F. ve Şimşek, M. (2017). Matematik öğretmen adaylarının FATİH Projesi ve matematik eğitiminde teknoloji kullanımına yönelik görüşleri. Turkish Online Journal of Qualitative Inquiry, 8(1), 91-121.
52. Önal, N. ve Çakır, H. (2016). Middle school mathematics teachers' views on using information technology in mathematics education. Mersin University Journal of the Faculty of Education, 12(1), 76-94.
53. Sangrà, A. ve González, M. S. (2010). The role of information and communication technologies in improving teaching and learning processes in primary and secondary schools. Journal of Asynchronous Learning Networks, 15(4), 47-60.
54. Straesser, R. (2001). Cabri-Geometre: does dynamic geometry software (DGS) change geometry and its teaching and learning? International Journal of Computers for Mathematical Learning, 6, 319-333.
55. Tall, D.O., Blockland, P. ve Kok, D. (1990). A graphic approach to the calculus, IBM compatibles computers with CGA, EGA or hercules graphics. Sunburst Inc, USA.
56. Ural, A. (2013). Maple programında geliştirilen bir maplet’ in dizilerde limit tanımını anlamaya etkisi. International Conference of Quality in Higher Education (ICQH) bildiri kitabı. Sakarya, Turkey.
57. Ural, A. (2015). Examining middle school mathematics teachers’ use of information and communication technologies and psychomotor skills. Turkish Journal of Computer and Mathematics Education, 6(1), 93-116.
58. Vincent, J. (2003). Year 8 students’ reasoning in a Cabri environment. In Mathematics education research: Innovation, networking, opportunity. Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australasia, Geelong (pp. 696-703).
59. Wiest, L. R. (2000). The role of computers in mathematics teaching and learning. In J. Took & N. Anderson (Eds.), Using information technology in mathematics education. The Howarth Press.
60. Yavuz, İ. ve Can, R. (2010). Investigating pre-service mathematics teachers’ approaches of teaching with technology in their first encounters to Cabri Geometry. Marmara University Atatürk Education Faculty Journal of Educational Sciences, 32, 181-198.
61. Yazlık, D. Ö. ve Ardahan, H. (2012). Teaching transformation geometry with cabri geometry plus II. Procedia-Social and Behavioral Sciences, 46, 5187-5191.
62. Yıldırım, A. ve Şimşek, H. (2006). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.
63. Yiğit-Koyunkaya, M. (2017). A teaching experiment that aims to develop pre-service mathematics teachers’ technological pedagogical and content knowledge. Turkish Journal of Computer and Mathematics Education 8(2), 284-322.
64. Yin, R. K. (2018). Case study research: Design and methods. Thousand Oaks, CA: Sage.
65. Zengin, Y., Kağızmanlı, T. B., Tatar, E. ve İşleyen, T. (2013). The use of dynamic mathematics software in computer assisted mathematics instruction course. Mustafa Kemal University Journal of Social Sciences Institute, 10(23), 167-180.