Research Article
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Reflections of Secondary School Students' Daily Life Experiences on Contextual Problem Solving

Year 2020, Volume: 3 Issue: 1, 10 - 24, 15.01.2020

Abstract

In mathematics education, the relationship between mathematics and daily life has gained importance in recent years. It is very important to know how students reflect their daily life knowledge in a contextual problem solution and to elaborate on why they have difficulty in understanding a given problem. In this respect, the essence of this study is to investigate how they reflect daily life experiences to problem solving and to investigate how their knowledge about daily life is effective in contextual problem solving. In this context, the study involves the application of 36-hour contextual problems. Data were collected from video recording and student worksheets in the course, and transcript of the video recording was subjected to content analysis. The findings are presented comparatively with other studies on contextual problem solving. As a result of the study, it was concluded that elements related to difficulty in separating relevant-irrelevant information, handling the context the solution does not require, ignoring the context of daily life and familiarity with the contextual problem make the contextual problem solving difficult.

References

  • Altun, M., (2011). Eğitim Fakülteleri ve Lise Matematik Öğretmenleri İçin Liselerde Matematik Öğretimi, Alfa Aktüel, Bursa.
  • Beswick, K. (2011). Puttıng context ın context: an examınatıon of the evıdence for the benefıts of ‘contextualısed’ tasks, International Journal of Science and Mathematics Education, 9: 367-390.
  • Boaler, J. (1993a). Encouraging transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture. Educational Studies in Mathematics, 25(4), 341-373.
  • Boaler, J. (1993b). The role of contexts in the mathematics classroom: Do they make mathematics more real? For the Learning of Mathematics, 13(2), 12–17.
  • Boaler, J. (1994). When do girls prefer football to fashion? An analysis of female underachievement in relation to "realistic" mathematics contexts, British Educational Research Journal 20, 551-564.
  • Borasi, R..(1986). On the nature of problems. Educational Studies in Mathematics, 17, 125 41.
  • Chapman, O. (2006). Classroom practices for context of mathematics word problems. Educational Studies in Mathematics, 62(2), 211–230.
  • Cooper,B . (1992). Testing National Curriculum mathematicss: one critical Comments on the treatment of 'real' contextsf or mathematics, The Curriculum Journal 3(3), 231-243.
  • Cooper, B. & Harries, T. (2002). Children’s responses to contrasting ‘realistic’ mathematics problems: Just how realistic are children ready to be? Educational Studies in Mathematics, 49, 1–23.
  • De Lange, J. (1995). Assessment: No change without problems. In T. A. Romberg (Ed.), Reform in school mathematics (pp. 87–172). Albany: SUNY Press.
  • Ellerton, N. F. & Clements, M. A. (1996). Newman error analysis. A comparative study involving Year 7 students in Malaysia and Australia. In P. C.
  • Clarkson (Ed.), Technology and mathematics education (pp. 186–193). Melbourne: Mathematics Education Research Group of Australasia.
  • Gravemeijer, K. (1990). Context problems and realistic mathematics instruction. The State University of Utrecht, Netherlands.
  • Gravemeijer, K. (1994) Developing Realistic Mathematics Education, Utrecht, The Netherlands,C D-B Press/FreudenthaI ln stitute.
  • Gravemeijer, K.P.E. & Doorman, L.M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1-3), pp. 111-129.
  • Greer,B . (1993). The mathematical modeling perspective on wor(l)d problems. Journal of Mathematical Behavior 12, 239-250.
  • Jurdak, M. E. (2006). Contrasting perspectives and performance of high school students on problem solving in real world situated, and school contexts. Educational Studies in Mathematics, 63, 283–301.
  • Kramarski, B., Mevarech, Z. R., & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 49(2), 225–250.
  • Maass, K. (2010). Classification scheme for modelling tasks. Journal für Mathematik Didaktik, 31(2), 285-311.
  • Mack, N. (1993). Learning ational numbers with understanding the case mathematics more real? For the Learning of Mathematics, 13(2), 12–17.
  • OECD. (2003a). Literacy skills for the world of tomorrow. Further results from PISA 2000. Paris: OECD.
  • Prakitipong, N., & Nakamura, S. (2006). Analysis of mathematics performance of grade five students in Thailand using Newman procedure. Journal of International Cooperation in Education, 9(1), 111–122.
  • Sepeng, P. (2013). Use of unrealistic contexts and meaning in word problem solving: a case of second language learners in Township schools. International Journal of Research in Mathematics, 1(1), 8–14.
  • Singh. P, Rahman, A.A. & Hoon, T.C. 2010. The Newman Procedure For Analyzing Primary Four Pupils Errors On Written Mathematical Tasks: A Malaysian Perspective. Procedia Social and Behavioral Sciences, 8, 264-271.
  • Van den Heuvel-Panhuizen, M. (1996). Assessment and Realistic Mathematics Education. Utrecht: CD-β Press, Center for Science and Mathematics Education
  • Van den Heuvel-Panhuizen, M. (2005). The role of context in assessment problems in mathematics. For the Learning of Mathematics, 25(2), 2-9, and 23.
  • Verschaffel, L., De Corte, E., & Lasure, S. (1994). Realistic considerations in mathematical modeling of school arithmetic word problems. Learning andInstruction, 4, 273-294.
  • Wijaya, A., Van den Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. The Mathematics Enthusiast, 11(3), 555–584.
  • Wood, D. (1988). How children think and learn. Oxford: Blackwell. (cited by Elbers, 1992).
  • Yıldırım, A., ve Şimşek, H. (2008). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.

Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları

Year 2020, Volume: 3 Issue: 1, 10 - 24, 15.01.2020

Abstract

Matematik eğitiminde, matematik ile günlük hayat arasında ilişki kurma son yıllarda oldukça önem kazanmıştır. Öğrencilerin günlük hayat bilgisini bağlamsal bir problem çözümünde ne şekilde yansıttığını bilmek, verilen bir problemi anlama konusunda neden sıkıntı yaşadığının ayrıntılarına inmek oldukça önemlidir. Bu açıdan bu çalışmanın esası günlük hayat tecrübelerini problem çözümüne ne şekilde yansıttıklarını araştırmak, günlük hayatla ilgili bilgilerinin bağlamsal problem çözümünde ne şekilde etkili olduğunu araştırmaktır. Bu kapsamda çalışma 36 saatlik bağlamsal problemlerin uygulanmasını içerir. Ders içi yapılan uygulamada video kaydı ve öğrenci çalışma kâğıtlarından veriler toplanmış, video kaydının transkripti yapılarak içerik analizine tabi tutulmuştur. Elde edilen bulgular bağlamsal problem çözümlerine ilişkin yapılan diğer çalışmalarla karşılaştırmalı olarak sunulmuştur. Çalışmanın sonucunda ilgili-ilgisiz bilgiyi ayırmada zorlanma, bağlamı çözümün gerektirmediği şekilde ele alma, günlük hayat bağlamını göz ardı etme ve bağlamsal probleme olan aşinalık ile ilgili unsurların bağlamsal problem çözümünü zorlaştırdığı sonucuna varılmıştır.

References

  • Altun, M., (2011). Eğitim Fakülteleri ve Lise Matematik Öğretmenleri İçin Liselerde Matematik Öğretimi, Alfa Aktüel, Bursa.
  • Beswick, K. (2011). Puttıng context ın context: an examınatıon of the evıdence for the benefıts of ‘contextualısed’ tasks, International Journal of Science and Mathematics Education, 9: 367-390.
  • Boaler, J. (1993a). Encouraging transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture. Educational Studies in Mathematics, 25(4), 341-373.
  • Boaler, J. (1993b). The role of contexts in the mathematics classroom: Do they make mathematics more real? For the Learning of Mathematics, 13(2), 12–17.
  • Boaler, J. (1994). When do girls prefer football to fashion? An analysis of female underachievement in relation to "realistic" mathematics contexts, British Educational Research Journal 20, 551-564.
  • Borasi, R..(1986). On the nature of problems. Educational Studies in Mathematics, 17, 125 41.
  • Chapman, O. (2006). Classroom practices for context of mathematics word problems. Educational Studies in Mathematics, 62(2), 211–230.
  • Cooper,B . (1992). Testing National Curriculum mathematicss: one critical Comments on the treatment of 'real' contextsf or mathematics, The Curriculum Journal 3(3), 231-243.
  • Cooper, B. & Harries, T. (2002). Children’s responses to contrasting ‘realistic’ mathematics problems: Just how realistic are children ready to be? Educational Studies in Mathematics, 49, 1–23.
  • De Lange, J. (1995). Assessment: No change without problems. In T. A. Romberg (Ed.), Reform in school mathematics (pp. 87–172). Albany: SUNY Press.
  • Ellerton, N. F. & Clements, M. A. (1996). Newman error analysis. A comparative study involving Year 7 students in Malaysia and Australia. In P. C.
  • Clarkson (Ed.), Technology and mathematics education (pp. 186–193). Melbourne: Mathematics Education Research Group of Australasia.
  • Gravemeijer, K. (1990). Context problems and realistic mathematics instruction. The State University of Utrecht, Netherlands.
  • Gravemeijer, K. (1994) Developing Realistic Mathematics Education, Utrecht, The Netherlands,C D-B Press/FreudenthaI ln stitute.
  • Gravemeijer, K.P.E. & Doorman, L.M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1-3), pp. 111-129.
  • Greer,B . (1993). The mathematical modeling perspective on wor(l)d problems. Journal of Mathematical Behavior 12, 239-250.
  • Jurdak, M. E. (2006). Contrasting perspectives and performance of high school students on problem solving in real world situated, and school contexts. Educational Studies in Mathematics, 63, 283–301.
  • Kramarski, B., Mevarech, Z. R., & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 49(2), 225–250.
  • Maass, K. (2010). Classification scheme for modelling tasks. Journal für Mathematik Didaktik, 31(2), 285-311.
  • Mack, N. (1993). Learning ational numbers with understanding the case mathematics more real? For the Learning of Mathematics, 13(2), 12–17.
  • OECD. (2003a). Literacy skills for the world of tomorrow. Further results from PISA 2000. Paris: OECD.
  • Prakitipong, N., & Nakamura, S. (2006). Analysis of mathematics performance of grade five students in Thailand using Newman procedure. Journal of International Cooperation in Education, 9(1), 111–122.
  • Sepeng, P. (2013). Use of unrealistic contexts and meaning in word problem solving: a case of second language learners in Township schools. International Journal of Research in Mathematics, 1(1), 8–14.
  • Singh. P, Rahman, A.A. & Hoon, T.C. 2010. The Newman Procedure For Analyzing Primary Four Pupils Errors On Written Mathematical Tasks: A Malaysian Perspective. Procedia Social and Behavioral Sciences, 8, 264-271.
  • Van den Heuvel-Panhuizen, M. (1996). Assessment and Realistic Mathematics Education. Utrecht: CD-β Press, Center for Science and Mathematics Education
  • Van den Heuvel-Panhuizen, M. (2005). The role of context in assessment problems in mathematics. For the Learning of Mathematics, 25(2), 2-9, and 23.
  • Verschaffel, L., De Corte, E., & Lasure, S. (1994). Realistic considerations in mathematical modeling of school arithmetic word problems. Learning andInstruction, 4, 273-294.
  • Wijaya, A., Van den Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. The Mathematics Enthusiast, 11(3), 555–584.
  • Wood, D. (1988). How children think and learn. Oxford: Blackwell. (cited by Elbers, 1992).
  • Yıldırım, A., ve Şimşek, H. (2008). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.
There are 30 citations in total.

Details

Primary Language Turkish
Journal Section Research Articles
Authors

Tuğba Dündar

Ridvan Ezentaş

Publication Date January 15, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

APA Dündar, T., & Ezentaş, R. (2020). Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları. Fen Matematik Girişimcilik Ve Teknoloji Eğitimi Dergisi, 3(1), 10-24.
AMA Dündar T, Ezentaş R. Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları. FMGT Eğitimi Dergisi. January 2020;3(1):10-24.
Chicago Dündar, Tuğba, and Ridvan Ezentaş. “Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları”. Fen Matematik Girişimcilik Ve Teknoloji Eğitimi Dergisi 3, no. 1 (January 2020): 10-24.
EndNote Dündar T, Ezentaş R (January 1, 2020) Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları. Fen Matematik Girişimcilik ve Teknoloji Eğitimi Dergisi 3 1 10–24.
IEEE T. Dündar and R. Ezentaş, “Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları”, FMGT Eğitimi Dergisi, vol. 3, no. 1, pp. 10–24, 2020.
ISNAD Dündar, Tuğba - Ezentaş, Ridvan. “Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları”. Fen Matematik Girişimcilik ve Teknoloji Eğitimi Dergisi 3/1 (January 2020), 10-24.
JAMA Dündar T, Ezentaş R. Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları. FMGT Eğitimi Dergisi. 2020;3:10–24.
MLA Dündar, Tuğba and Ridvan Ezentaş. “Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları”. Fen Matematik Girişimcilik Ve Teknoloji Eğitimi Dergisi, vol. 3, no. 1, 2020, pp. 10-24.
Vancouver Dündar T, Ezentaş R. Ortaokul Öğrencilerinin Günlük Hayat Tecrübelerinin Bağlamsal Problem Çözümüne Yansımaları. FMGT Eğitimi Dergisi. 2020;3(1):10-24.