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The Transmission of Educational Values through Mathematical Problems: A Theoretical Study

Year 2019, Volume: 13 Issue: 1, 260 - 283, 30.06.2019
https://doi.org/10.17522/balikesirnef.518832

Abstract

In recent years increasing the number of studies that emphasize the
importance of affective domain in mathematics teaching has revealed the
necessity of shaping the teaching in the classroom in this context. For this
reason, values in mathematics teaching have rarely started to take place in
mathematical issues. Thus the Ministry of National Education in Turkey has
defined and used 10 root values- justice, friendship, honesty, self-control,
patience, respect, love, responsibility, patriotism and helpfulness- in
mathematics education programs for the first time in 2017. However, although the
necessity to focus is emphasized in the curriculum, there is not enough
explanation and clarity about how the values will take place in mathematics
classes. Therefore, in this study, it will be explained how various types of
problems can be used in order to bring the values to the mathematics classes
and various examples will be included.

References

  • Australian Government Department of Education Science and Training (2005). National Framework for Values Education in Australian schools, Canberra: Australian Government Department of Education, Science and Training
  • Bloom, B. S. (2016). İnsan nitelikleri ve okulda öğrenme. (D. A. Özçelik, Çev.). Ankara: Pegem A
  • Blum, W. (2002). ICMI Study 14: Applications and modelling in mathematics education- discussion document. Zentralblatt für Didaktik der Mathematik, 34 (5), 229-239.
  • Bishop, A. J. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht: Kluwer.
  • Bishop, A. J. (1998). Cultural conflicts and social change: conceptualising the possibilities and limitations of mathematics education. In P. Gates & T. Cotton (Ed.), Proceedings of the First International Mathematics Education and Society Conference (pp. 12-16). Nottingham: Centre for the Study of Mathematics Education University of Nottingham.
  • Bishop, A. J. (1999). Mathematics teaching and values education- An intersection in need of research. International Reviews on Mathematical Education [Electronic Journal], 31 (1).
  • Bishop, A. J. (2002). Research, policy and practice: The case of values. Proceedings of the Third International MES Conference. Copenhagen: Centre for Research in Learning Mathematics, 1-7.
  • Bishop, A. J. (2004, July). Critical issues in researcing culturel aspects of mathematics education. Paper presented in Discussion Group 2 at the 10th International Congrees on Mathematical Education, Copenhagen, Denmark, 4-11.
  • Bishop, A. J., FitzSimons, G., Seah, W. T. & Clarkson, P. (1999, November). Values in mathematics education: Making values teaching explicit in the mahematics classroom. Paper presented at the combined Annual Meeting of the Australian 230 Association for Research in Education and the New Zealand Association for Research in Education. Melbourne, Australia.
  • Charles, R., & Lester, F. (1982). Teaching problem solving: What, why & how. Palo Alto, CA: Dale Seymour Publications.
  • Clarkson, P. C., FitzSimons, G. E., & Seah, W. T. (1999). Values relevant to mathematics? I’d like to see that! In D. Tynam, N. Scott, K. Stacey, G. Asp, J. Dowsey, H. Hollingsworth & B. McRae (Eds.), Mathematics: Across the ages. Melbourne: Mathematics Association of Victoria.
  • Dede, Y. (2006). Values in Turkish middle school mathematics textbooks. Quality & quality, 40(3), 331-359.
  • Dede, Y. (2007). Matematik öğretiminde değerlerin yeri. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 7(1), 12-25.
  • Dede, Y. (2016). Matematik eğitimine özgü değer kategorileri ve uygulamaları. E. Bingölbali, S. Arslan ve İ. Ö. Zembat (Ed), Matematik Eğitiminde Teoriler (ss: 786-802). Ankara: Pegem A.
  • FitzSimons, G., Seah, W., Bishop, A.J. & Clarkson, P. (2000). Conceptions of values and mathematics education held by Australian primary teachers: Preliminary findings 235 from VAMP. Proceedings of the History and Pedagogy of Mathematics Conference, National Taiwan Normal University, Taipei.
  • Freudenthal, H. (1991). Revisiting mathematics education, China lectures. Dordrecht: Kluwer Academic Publishers.
  • Grootenboer, P. J. (2003). Preservice primary teachers’ affective development in mathematics. Unpublished doctoral dissertation, University of Waikato, NZ.
  • Grootenboer, P., & Marshman, M. (2016). The affective domain, mathematics, and mathematics education. In Mathematics, affect and learning (pp. 13-33). Springer, Singapore.
  • Halstead, M. J. (1996). Values and values education in schools. J. M. Halstead & M. J. Taylor (Eds.), Values in Education and Education in Values (pp. 3-13). London: The Falmer Press.
  • Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., & Murray, H. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Heinemann, 34, 40.
  • Hill, B. V. (1991). Values education in Australian schools. Melbourne: The Australian Council for Educational Research.
  • Jumsai Na Ayudhya, A. (1997). The Five Human Values and Human Excellence. Bangkok: International Institute of Sathya Sai Education
  • Leder, G., & Forgasz, H. (2002). Measuring mathematical beliefs and their impact on learning of mathematics: A new approach. In G. C. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 95–113). Dordrecht: Kluwer.
  • Lim, C.S., & Ernest, P. (1997). Values in mathematics education: what is planned and what is espoused. British Society for Research into Learning Mathematics, 37.Main, R. G. (1993). Integrating motivation into the instructional design process. Educational Technology, 33(12), 37-41.
  • McConatha, J. T., & Schnell, F. (1995). The confluence of values: Implications for educational research and policy. Educational Practice and Theory, 17(2), 79-83.
  • MEB-EARGED. (2005). PISA 2003 Projesi, Ulusal Nihai Rapor. Milli Eğitim Basımevi, Ankara.
  • MEB. (2005a). İlköğretim Matematik Dersi 6-8. Sınıflar Öğretim Programı, Ankara.
  • MEB.(2005b). Orta Öğretim Matematik (9,10,11 ve 12. Sınıflar) Dersi Öğretim Programı, Ankara.
  • MEB. (2018a). Matematik dersi öğretim programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar). Ankara.
  • MEB. (2018b). Ortaöğretim matematik dersi öğretim programı (9, 10, 11 ve 12. sınıflar). Ankara.
  • NCTM (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
  • Seah, W. T. (2002). Exploring teacher clarification of values relating to mathemayics education. In C. Vale & J. Roumeliotis & J. Horwood (Eds.), Valuing Mathematics in Society (pp. 93-104). Brunswick, Australia: Mathematical Association of Victoria.
  • Seah, W. T., Andersson, A., Bishop, A., & Clarkson, P. (2016). What would the mathematics curriculum look like if values were the focus. For the Learning of Mathematics, 36(1), 14-20.
  • Seah, W. T., & Bishop, A. J. (2000). Values in mathematics textbooks: A view through two Australasian regions. Paper Presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA.
  • Shrivastava, K. (2014). Teaching Values through a Problem Solving Approach to Mathematics. International Journal of Engineering Research And Management. 1(8).
  • Southwell, B. (1995, July). Towards a theoretical framework for research in beliefs and values in mathematics education. Paper presented at the 18th annual conference of the Mathematics Education Research Group of Australasia, MERGA 18, Northern Territory University, Darwin.
  • Tan, S. K. (1997). Moral values and science teaching: A Malaysian school curriculum initiative. Science and Education, 6, 555-572.
  • Taplin, M. (1998). Education in human values through mathematics: Mathematics through education in human values. Hong Kong: Institute of Sathya Sai Education.
  • Taplin, M. (1998a). Promoting education in human values in the regular mathematics classroom. EduMath, 7, 12-98.
  • Taplin, M. (2002). Integrating Educare into Mainstream Schools. Hong Kong: Institute of Sathya Sai Education.
  • Taplin, M. (2007). Teaching Values Through A Problem-Solving Approach. Hong Kong: Institute of Sathya Sai Education.
  • The Ministry of Education in New Zealand (nzmaths.com) (2018, Ekim 21). Benefits of Problem Solving. The home of mathematics education in New Zealand: https://nzmaths.co.nz/benefits-problem-solving adresinden alındı
  • Widjaja, W. (2013). The Use of Contextual Problems to Support Mathematical Learning. Indonesian Mathematical Society Journal on Mathematics Education, 4(2), 157-168.
  • Yazgan, Y., & Arslan, Ç. (2017). Matematiksel sıradışı problem çözme stratejileri ve örnekleri. Pegem A: Ankara.
  • Zhu, Y., & Fan, L. (2006). Focus on the representation of problem types in intended curriculum: A comparison of selected mathematics textbooks from Mainland China and the United States. International Journal of Science and Mathematics Education, 4(4), 609-626.

Matematiksel Problemler Aracılığıyla Eğitimsel Değerlerin Aktarımı: Kuramsal Bir Çalışma

Year 2019, Volume: 13 Issue: 1, 260 - 283, 30.06.2019
https://doi.org/10.17522/balikesirnef.518832

Abstract

Son yıllarda matematik
öğretiminde duyuşsal alanın önemini ortaya koyan çalışmaların artması,
matematik öğretiminde bilişsel faktörlerin yanında duyuşsal faktörlerin de
dikkate alınmasının gerekliliğini ortaya koymuştur. Tutum ve inanç gibi
duyuşsal boyutlara göre daha derin yapılar içeren “değer” kavramı da bu süreçte
önem kazanmıştır. Bu kapsamda, ülkemizde yayımlanan ilkokul ve ortaokul ile
ortaöğretim matematik öğretim programlarında (Milli Eğitim Bakanlığı [MEB],
2018;a 2018b) ilk kez 10 adet değer, -adalet, dostluk, dürüstlük, öz denetim,
sabır, saygı, sevgi, sorumluluk, vatanseverlik ve yardımseverlik- tanımlanmış
ve bu değerler, ilgili kazanımlarla ilişkilendirilmiştir. Ancak buna rağmen;
değerlerin, matematik sınıflarında nasıl yer alacağı konusunda yeterince
açıklama ve netlik bulunmamaktadır. Bu bağlamda şimdiki çalışmada, matematiksel
problem çeşitleri aracılığıyla matematik derslerinde değer aktarımlarının nasıl
yapılabileceğine yönelik örneklere, bu örneklerin öğrencilere aktardığı değer çeşitlerine
ve bunlara ilişkin tartışmalara yer verilmiştir. Ayrıca, ileri çalışmalar için
araştırmacılar ile öğretim programı yapıcılarına ve uygulayıcılarına da bu
kapsamda çeşitli önerilerde bulunulmuştur.

References

  • Australian Government Department of Education Science and Training (2005). National Framework for Values Education in Australian schools, Canberra: Australian Government Department of Education, Science and Training
  • Bloom, B. S. (2016). İnsan nitelikleri ve okulda öğrenme. (D. A. Özçelik, Çev.). Ankara: Pegem A
  • Blum, W. (2002). ICMI Study 14: Applications and modelling in mathematics education- discussion document. Zentralblatt für Didaktik der Mathematik, 34 (5), 229-239.
  • Bishop, A. J. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht: Kluwer.
  • Bishop, A. J. (1998). Cultural conflicts and social change: conceptualising the possibilities and limitations of mathematics education. In P. Gates & T. Cotton (Ed.), Proceedings of the First International Mathematics Education and Society Conference (pp. 12-16). Nottingham: Centre for the Study of Mathematics Education University of Nottingham.
  • Bishop, A. J. (1999). Mathematics teaching and values education- An intersection in need of research. International Reviews on Mathematical Education [Electronic Journal], 31 (1).
  • Bishop, A. J. (2002). Research, policy and practice: The case of values. Proceedings of the Third International MES Conference. Copenhagen: Centre for Research in Learning Mathematics, 1-7.
  • Bishop, A. J. (2004, July). Critical issues in researcing culturel aspects of mathematics education. Paper presented in Discussion Group 2 at the 10th International Congrees on Mathematical Education, Copenhagen, Denmark, 4-11.
  • Bishop, A. J., FitzSimons, G., Seah, W. T. & Clarkson, P. (1999, November). Values in mathematics education: Making values teaching explicit in the mahematics classroom. Paper presented at the combined Annual Meeting of the Australian 230 Association for Research in Education and the New Zealand Association for Research in Education. Melbourne, Australia.
  • Charles, R., & Lester, F. (1982). Teaching problem solving: What, why & how. Palo Alto, CA: Dale Seymour Publications.
  • Clarkson, P. C., FitzSimons, G. E., & Seah, W. T. (1999). Values relevant to mathematics? I’d like to see that! In D. Tynam, N. Scott, K. Stacey, G. Asp, J. Dowsey, H. Hollingsworth & B. McRae (Eds.), Mathematics: Across the ages. Melbourne: Mathematics Association of Victoria.
  • Dede, Y. (2006). Values in Turkish middle school mathematics textbooks. Quality & quality, 40(3), 331-359.
  • Dede, Y. (2007). Matematik öğretiminde değerlerin yeri. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 7(1), 12-25.
  • Dede, Y. (2016). Matematik eğitimine özgü değer kategorileri ve uygulamaları. E. Bingölbali, S. Arslan ve İ. Ö. Zembat (Ed), Matematik Eğitiminde Teoriler (ss: 786-802). Ankara: Pegem A.
  • FitzSimons, G., Seah, W., Bishop, A.J. & Clarkson, P. (2000). Conceptions of values and mathematics education held by Australian primary teachers: Preliminary findings 235 from VAMP. Proceedings of the History and Pedagogy of Mathematics Conference, National Taiwan Normal University, Taipei.
  • Freudenthal, H. (1991). Revisiting mathematics education, China lectures. Dordrecht: Kluwer Academic Publishers.
  • Grootenboer, P. J. (2003). Preservice primary teachers’ affective development in mathematics. Unpublished doctoral dissertation, University of Waikato, NZ.
  • Grootenboer, P., & Marshman, M. (2016). The affective domain, mathematics, and mathematics education. In Mathematics, affect and learning (pp. 13-33). Springer, Singapore.
  • Halstead, M. J. (1996). Values and values education in schools. J. M. Halstead & M. J. Taylor (Eds.), Values in Education and Education in Values (pp. 3-13). London: The Falmer Press.
  • Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., & Murray, H. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Heinemann, 34, 40.
  • Hill, B. V. (1991). Values education in Australian schools. Melbourne: The Australian Council for Educational Research.
  • Jumsai Na Ayudhya, A. (1997). The Five Human Values and Human Excellence. Bangkok: International Institute of Sathya Sai Education
  • Leder, G., & Forgasz, H. (2002). Measuring mathematical beliefs and their impact on learning of mathematics: A new approach. In G. C. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 95–113). Dordrecht: Kluwer.
  • Lim, C.S., & Ernest, P. (1997). Values in mathematics education: what is planned and what is espoused. British Society for Research into Learning Mathematics, 37.Main, R. G. (1993). Integrating motivation into the instructional design process. Educational Technology, 33(12), 37-41.
  • McConatha, J. T., & Schnell, F. (1995). The confluence of values: Implications for educational research and policy. Educational Practice and Theory, 17(2), 79-83.
  • MEB-EARGED. (2005). PISA 2003 Projesi, Ulusal Nihai Rapor. Milli Eğitim Basımevi, Ankara.
  • MEB. (2005a). İlköğretim Matematik Dersi 6-8. Sınıflar Öğretim Programı, Ankara.
  • MEB.(2005b). Orta Öğretim Matematik (9,10,11 ve 12. Sınıflar) Dersi Öğretim Programı, Ankara.
  • MEB. (2018a). Matematik dersi öğretim programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar). Ankara.
  • MEB. (2018b). Ortaöğretim matematik dersi öğretim programı (9, 10, 11 ve 12. sınıflar). Ankara.
  • NCTM (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
  • Seah, W. T. (2002). Exploring teacher clarification of values relating to mathemayics education. In C. Vale & J. Roumeliotis & J. Horwood (Eds.), Valuing Mathematics in Society (pp. 93-104). Brunswick, Australia: Mathematical Association of Victoria.
  • Seah, W. T., Andersson, A., Bishop, A., & Clarkson, P. (2016). What would the mathematics curriculum look like if values were the focus. For the Learning of Mathematics, 36(1), 14-20.
  • Seah, W. T., & Bishop, A. J. (2000). Values in mathematics textbooks: A view through two Australasian regions. Paper Presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA.
  • Shrivastava, K. (2014). Teaching Values through a Problem Solving Approach to Mathematics. International Journal of Engineering Research And Management. 1(8).
  • Southwell, B. (1995, July). Towards a theoretical framework for research in beliefs and values in mathematics education. Paper presented at the 18th annual conference of the Mathematics Education Research Group of Australasia, MERGA 18, Northern Territory University, Darwin.
  • Tan, S. K. (1997). Moral values and science teaching: A Malaysian school curriculum initiative. Science and Education, 6, 555-572.
  • Taplin, M. (1998). Education in human values through mathematics: Mathematics through education in human values. Hong Kong: Institute of Sathya Sai Education.
  • Taplin, M. (1998a). Promoting education in human values in the regular mathematics classroom. EduMath, 7, 12-98.
  • Taplin, M. (2002). Integrating Educare into Mainstream Schools. Hong Kong: Institute of Sathya Sai Education.
  • Taplin, M. (2007). Teaching Values Through A Problem-Solving Approach. Hong Kong: Institute of Sathya Sai Education.
  • The Ministry of Education in New Zealand (nzmaths.com) (2018, Ekim 21). Benefits of Problem Solving. The home of mathematics education in New Zealand: https://nzmaths.co.nz/benefits-problem-solving adresinden alındı
  • Widjaja, W. (2013). The Use of Contextual Problems to Support Mathematical Learning. Indonesian Mathematical Society Journal on Mathematics Education, 4(2), 157-168.
  • Yazgan, Y., & Arslan, Ç. (2017). Matematiksel sıradışı problem çözme stratejileri ve örnekleri. Pegem A: Ankara.
  • Zhu, Y., & Fan, L. (2006). Focus on the representation of problem types in intended curriculum: A comparison of selected mathematics textbooks from Mainland China and the United States. International Journal of Science and Mathematics Education, 4(4), 609-626.
There are 45 citations in total.

Details

Primary Language Turkish
Journal Section Makaleler
Authors

Fahrettin Aşıcı 0000-0002-7329-6418

Yüksel Dede 0000-0001-7634-4908

Publication Date June 30, 2019
Submission Date January 28, 2019
Published in Issue Year 2019 Volume: 13 Issue: 1

Cite

APA Aşıcı, F., & Dede, Y. (2019). Matematiksel Problemler Aracılığıyla Eğitimsel Değerlerin Aktarımı: Kuramsal Bir Çalışma. Necatibey Eğitim Fakültesi Elektronik Fen Ve Matematik Eğitimi Dergisi, 13(1), 260-283. https://doi.org/10.17522/balikesirnef.518832