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The Potential of GeoGebra Software for Providing Mathematical Communication in the Light of Pre-service Teachers' Views

Year 2017, Volume: 11 Issue: 1, 101 - 127, 30.06.2017
https://doi.org/10.17522/balikesirnef.356141

Abstract


The purpose of this study was to investigate the
potential of GeoGebra software for providing mathematical communication in the
light of pre-service teachers' views. The research was designed as single-case
holistic design and conducted with 16 pre-service mathematics teachers. An
open-ended questionnaire was used as a data collection tool. The obtained
qualitative data were analyzed by using content analysis. As a result of
analysis, it was determined that GeoGebra software directly contributed to
provide mathematical communication both by helping the use of the language of
mathematics correctly and by contributing to provide dynamic connections
between multiple representations of concepts. It was also found that GeoGebra
software contributed to provide mathematical communication not only by helping
the use of the language of mathematics in self-confidence but also the
development of mathematical connections skills. In addition, It was detected
that GeoGebra software contributed to provide mathematical communication by
supplying discussion and cooperation learning environment. It was determined
that the GeoGebra software had a significant potential to provide mathematical
communication in the light of pre-service teachers' views.

References

  • Ayvaz Reis, Z., & Özdemir, Ş. (2010). Using Geogebra as an information technology tool: Parabola teaching. Procedia-Social and Behavioral Sciences, 9, 565-572.
  • Baki, A. (2008). Kuramdan uygulamaya matematik eğitimi (4. Basım). Ankara: Harf Eğitim Yayıncılık.
  • Brendefur, J., & Frykholm, J. (2000). Promoting mathematical communication in the classroom: Two preservice teachers' conceptions and practices. Journal of Mathematics Teacher Education, 3(2), 125-153.
  • Brenner, M. E. (1998). Development of mathematical communication in problem solving groups by language minority students. Bilingual Research Journal, 22(2-4), 149-174.
  • Choi, K. S. (2010). Motivating students in learning mathematics with GeoGebra. Annals Computer Science Series, 8(2), 65-76
  • Cooke, B. D., & Buchholz, D. (2005). Mathematical communication in the classroom: A teacher makes a difference. Early Childhood Education Journal, 32(6), 365-369.
  • Creswell, J.W. (2007). Qualitative inquiry and research design: Choosing among five traditions (2nd ed.). London: Sage.
  • Dienes, Z. P. (1971). An example of the passage from the concrete to the manipulation of formal systems. Educational Studies in Mathematics, 3(3), 337-352.
  • Dikovic, L. (2009a). Applications GeoGebra into teaching some topics of mathematics at the college level. Computer Science and Information Systems, 6(2), 191-203.
  • Dikovic, L. (2009b). Implementing dynamic mathematics resources with GeoGebra at the college level. International Journal of Emerging Technologies in Learning (iJET), 4(3), 51-54.
  • Furner, J. M., & Marinas, C. A. (2012). Connecting geometry, measurement, and algebra using GeoGebra for the elementary grades. Twenty-fourth Annual International Conference on Technology in Collegiate Mathematics (pp. 63-72). Orlando, Florida: Pearson Education Inc.
  • Hirschfeld-Cotton, K. (2008). Mathematical communication, conceptual understanding, and students' attitudes toward mathematics. Unpublished Master thesis. University of Nebraska, Lincoln, USA.
  • Hohenwarter, J., & Hohenwarter, M. (2012). Introduction to GeoGebra4. Available from www.geogebra.org.
  • Hohenwarter, M., & Jones, K. (2007). Ways of linking geometry and algebra, the case of Geogebra. Proceedings of the British Society for Research into Learning Mathematics, 27(3), 126-131.
  • Hohenwarter, M., Hohenwarter, J., Kreis, Y., & Lavicza, Z. (2008). Teaching and learning calculus with free dynamic mathematics software GeoGebra. In 11th International Congress on Mathematical Education. Monterrey, Nuevo Leon, Mexico.
  • Kutluca, T., & Zengin, Y. (2011). Matematik öğretiminde GeoGebra kullanımı hakkında öğrenci görüşlerinin değerlendirilmesi. Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 17, 160-172.
  • Lipeikiene, J. (2009). Development of a Mathematical Communication Curriculum. Information Sciences, 50, 107-111.
  • McGuffey, W. C. (2015). Using Strategy Games and GeoGebra to Develop Understanding of Mathematical Language. MathAMATYC Educator, 6 (3), 51-60.
  • McMillan, J., & Schumacher, S. (2010). Research in education: Evidence-based inquiry (7th ed.). Boston, MA: Pearson.
  • Merriam, S. B. (1998). Qualitative Research and Case Study Applications in Education (2nd ed.). San Francisco: Jossey Bass Publishers.
  • Milli Eğitim Bakanlığı [MEB], (2013). Ortaöğretim matematik dersi (9, 10, 11 ve 12. sınıflar) öğretim programı. Ankara.
  • National Council of Teachers of Mathematics [NCTM], (2005). Principles and standarts for school mathematics. Reston, VA: NCTM.
  • Ng, O. L. (2016). Comparing calculus communication across static and dynamic environments using a multimodal approach. Digital Experiences in Mathematics Education, 2(2), 1-27.
  • Slavin, R. E. (1995). Cooperative learning theory, research, and practice (2nd ed.). Needham Heights, MA: Allyn and Bacon.
  • Stahl, G., Çakir, M. P., Weimar, S., Weusijana, B. K., & Ou, J. X. (2010). Enhancing mathematical communication for virtual math teams. Acta Didactica Napocensia, 3(2), 101-114.
  • Yackel, E., Cobb, P. & Wood, T. (1993). Developing a basis for mathematical communication within small groups. In T. Wood, P. Cobb, E. Yackel, & D. Dillon (Eds.), Rethinking elementary school mathematics: Insights and issues, Journal for Research in Mathematics Education Monograph No. 6 (pp. 33 - 44). Reston, VA: NCTM.
  • Yıldırım, A., & Şimşek, H. (2011). Sosyal bilimlerde nitel araştırma yöntemleri (8. bs.). Ankara: Seçkin Yayıncılık.
  • Yin, R. (1981). The case study crisis: Some answers. Administrative Science Quarterly,26(1), 58-65.
  • Yin, R.K.(2003). Case study research (Design and Methods).California: Sage Publication
  • Zengin, Y. (2011). Dinamik matematik yazılımı GeoGebra’nın öğrencilerin başarılarına ve tutumlarına etkisi. Yayımlanmamış Yüksek Lisans Tezi. Kahramanmaraş Sütçü İmam Üniversitesi Fen Bilimleri Enstitüsü. Kahramanmaraş.
  • Zengin, Y. (2015). Dinamik matematik yazılımı destekli işbirlikli öğrenme modelinin ortaöğretim cebir konularının öğrenimi ve öğretiminde uygulanabilirliğinin incelenmesi. Yayımlanmamış doktora tezi. Atatürk Üniversitesi, Erzurum.

Öğretmen Adaylarının Görüşleri Işığında Matematiksel İletişim Sağlayabilmede GeoGebra Yazılımının Potansiyeli

Year 2017, Volume: 11 Issue: 1, 101 - 127, 30.06.2017
https://doi.org/10.17522/balikesirnef.356141

Abstract


Bu çalışmanın
amacı matematiksel iletişim sağlayabilmede GeoGebra yazılımının potansiyelini
öğretmen adaylarının görüşleri ışığında incelemektir. Araştırmada yöntem olarak
tekli durum holistik tasarımı kullanılmış ve araştırmanın çalışma grubunu 16
matematik öğretmeni adayı oluşturmaktadır. Veri toplama aracı olarak açık uçlu
görüş formu kullanılmıştır. Elde edilen nitel veriler içerik analizi yöntemiyle
analiz edilmiştir. Analiz sonucunda, GeoGebra yazılımı matematiksel dili doğru
kullanmaya, kavramların farklı temsilleri arasında dinamik bir ilişki sağlamaya
yardımcı olarak matematiksel iletişimin sağlanmasına doğrudan katkı sağladığı
belirlenmiştir. Ayrıca GeoGebra yazılımı matematiksel dili özgüvenli bir
şekilde kullanmaya, kavramları tartışma ve yardımlaşma ortamında çalışmaya,
ilişkilendirme becerisinin gelişmesine yardımcı olarak matematiksel iletişimin
sağlanabilmesine katkı sağladığı ortaya çıkmıştır. Matematik öğretmeni
adaylarının görüşleri ışığında GeoGebra yazılımının matematiksel iletişimin
sağlanmasında önemli bir potansiyeli olduğu belirlenmiştir.



References

  • Ayvaz Reis, Z., & Özdemir, Ş. (2010). Using Geogebra as an information technology tool: Parabola teaching. Procedia-Social and Behavioral Sciences, 9, 565-572.
  • Baki, A. (2008). Kuramdan uygulamaya matematik eğitimi (4. Basım). Ankara: Harf Eğitim Yayıncılık.
  • Brendefur, J., & Frykholm, J. (2000). Promoting mathematical communication in the classroom: Two preservice teachers' conceptions and practices. Journal of Mathematics Teacher Education, 3(2), 125-153.
  • Brenner, M. E. (1998). Development of mathematical communication in problem solving groups by language minority students. Bilingual Research Journal, 22(2-4), 149-174.
  • Choi, K. S. (2010). Motivating students in learning mathematics with GeoGebra. Annals Computer Science Series, 8(2), 65-76
  • Cooke, B. D., & Buchholz, D. (2005). Mathematical communication in the classroom: A teacher makes a difference. Early Childhood Education Journal, 32(6), 365-369.
  • Creswell, J.W. (2007). Qualitative inquiry and research design: Choosing among five traditions (2nd ed.). London: Sage.
  • Dienes, Z. P. (1971). An example of the passage from the concrete to the manipulation of formal systems. Educational Studies in Mathematics, 3(3), 337-352.
  • Dikovic, L. (2009a). Applications GeoGebra into teaching some topics of mathematics at the college level. Computer Science and Information Systems, 6(2), 191-203.
  • Dikovic, L. (2009b). Implementing dynamic mathematics resources with GeoGebra at the college level. International Journal of Emerging Technologies in Learning (iJET), 4(3), 51-54.
  • Furner, J. M., & Marinas, C. A. (2012). Connecting geometry, measurement, and algebra using GeoGebra for the elementary grades. Twenty-fourth Annual International Conference on Technology in Collegiate Mathematics (pp. 63-72). Orlando, Florida: Pearson Education Inc.
  • Hirschfeld-Cotton, K. (2008). Mathematical communication, conceptual understanding, and students' attitudes toward mathematics. Unpublished Master thesis. University of Nebraska, Lincoln, USA.
  • Hohenwarter, J., & Hohenwarter, M. (2012). Introduction to GeoGebra4. Available from www.geogebra.org.
  • Hohenwarter, M., & Jones, K. (2007). Ways of linking geometry and algebra, the case of Geogebra. Proceedings of the British Society for Research into Learning Mathematics, 27(3), 126-131.
  • Hohenwarter, M., Hohenwarter, J., Kreis, Y., & Lavicza, Z. (2008). Teaching and learning calculus with free dynamic mathematics software GeoGebra. In 11th International Congress on Mathematical Education. Monterrey, Nuevo Leon, Mexico.
  • Kutluca, T., & Zengin, Y. (2011). Matematik öğretiminde GeoGebra kullanımı hakkında öğrenci görüşlerinin değerlendirilmesi. Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 17, 160-172.
  • Lipeikiene, J. (2009). Development of a Mathematical Communication Curriculum. Information Sciences, 50, 107-111.
  • McGuffey, W. C. (2015). Using Strategy Games and GeoGebra to Develop Understanding of Mathematical Language. MathAMATYC Educator, 6 (3), 51-60.
  • McMillan, J., & Schumacher, S. (2010). Research in education: Evidence-based inquiry (7th ed.). Boston, MA: Pearson.
  • Merriam, S. B. (1998). Qualitative Research and Case Study Applications in Education (2nd ed.). San Francisco: Jossey Bass Publishers.
  • Milli Eğitim Bakanlığı [MEB], (2013). Ortaöğretim matematik dersi (9, 10, 11 ve 12. sınıflar) öğretim programı. Ankara.
  • National Council of Teachers of Mathematics [NCTM], (2005). Principles and standarts for school mathematics. Reston, VA: NCTM.
  • Ng, O. L. (2016). Comparing calculus communication across static and dynamic environments using a multimodal approach. Digital Experiences in Mathematics Education, 2(2), 1-27.
  • Slavin, R. E. (1995). Cooperative learning theory, research, and practice (2nd ed.). Needham Heights, MA: Allyn and Bacon.
  • Stahl, G., Çakir, M. P., Weimar, S., Weusijana, B. K., & Ou, J. X. (2010). Enhancing mathematical communication for virtual math teams. Acta Didactica Napocensia, 3(2), 101-114.
  • Yackel, E., Cobb, P. & Wood, T. (1993). Developing a basis for mathematical communication within small groups. In T. Wood, P. Cobb, E. Yackel, & D. Dillon (Eds.), Rethinking elementary school mathematics: Insights and issues, Journal for Research in Mathematics Education Monograph No. 6 (pp. 33 - 44). Reston, VA: NCTM.
  • Yıldırım, A., & Şimşek, H. (2011). Sosyal bilimlerde nitel araştırma yöntemleri (8. bs.). Ankara: Seçkin Yayıncılık.
  • Yin, R. (1981). The case study crisis: Some answers. Administrative Science Quarterly,26(1), 58-65.
  • Yin, R.K.(2003). Case study research (Design and Methods).California: Sage Publication
  • Zengin, Y. (2011). Dinamik matematik yazılımı GeoGebra’nın öğrencilerin başarılarına ve tutumlarına etkisi. Yayımlanmamış Yüksek Lisans Tezi. Kahramanmaraş Sütçü İmam Üniversitesi Fen Bilimleri Enstitüsü. Kahramanmaraş.
  • Zengin, Y. (2015). Dinamik matematik yazılımı destekli işbirlikli öğrenme modelinin ortaöğretim cebir konularının öğrenimi ve öğretiminde uygulanabilirliğinin incelenmesi. Yayımlanmamış doktora tezi. Atatürk Üniversitesi, Erzurum.
There are 31 citations in total.

Details

Journal Section Makaleler
Authors

Yılmaz Zengin

Publication Date June 30, 2017
Submission Date November 16, 2016
Published in Issue Year 2017 Volume: 11 Issue: 1

Cite

APA Zengin, Y. (2017). Öğretmen Adaylarının Görüşleri Işığında Matematiksel İletişim Sağlayabilmede GeoGebra Yazılımının Potansiyeli. Necatibey Eğitim Fakültesi Elektronik Fen Ve Matematik Eğitimi Dergisi, 11(1), 101-127. https://doi.org/10.17522/balikesirnef.356141