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THE CONCEPT OF FUNCTION IN TEXTBOOKS: THE TURKISH AND THE FRENCH SAMPLES

Yıl 2011, Cilt: 19 Sayı: 1, 199 - 220, 01.01.2011

Öz

The aim of this study is to present mathematics organizations related to the notion of function in textbooks. In this study which is carried out by using document analysis method, two Turkish and two French textbooks are analyzed by comprising to each other. The results of the study revealed that in the analyzed textbooks, there are many differences from the curriculums. However, apart from those differences it is also determined that mathematics organizations related to the definitions and properties used in both countries differ from one another. Especially, it attracts the attention that the French course books include varied kinds of problems and because of it they present a rich content. Moreover, while in the Turkish textbooks control structure is not included, in the French textbooks it is considered important.

Kaynakça

  • 1. Teters, P. and Gabel, D. (1984), 1982-83 Results of the NSTA survey of the needs of elementary teachers regarding their teaching of science, Washington, National Science Teachers Association.
  • 2. Sheldon, L.E.(1988) Evaluating ELT textbooks and materials, ELT Journal 42, 237–246.
  • 3. Sharp, A. (1999) Aspects of English medium textbook use in Hong Kong, New Horizons in Education 40, 93–102.
  • 4. Pepin, B. and Haggarty, L. (2001) Mathematics textbooks and their use in English, French and German classrooms, Zentrablatt fur Didaktik der Mathematik 33, 158–175.
  • 5. Skiersko, A. (1991) Textbook selection and evaluation, in M. Celce-Murcia (ed.), Teaching English as a Second or Foreign Language, Boston, Heinle & Heinle, pp. 432-453.
  • 6. Rymarz, R. and Engebretson, K. (2005) Putting textbooks to work, British Journal of Religious Education 27, 53–63.
  • 7. Kuhn, T.S. (1970) The Structure of Scientific Revolutions (2nd ed.), University of Chicago Press, Chicago.
  • 8. Tanner, D. (1988) The textbook controversies, in L.N. Tanner (ed.), Critical Issues in Curriculum (Eighty-SeventhYearbook of the National Society for the Study of Education, Part I), National Society for the Study of Education, Chicago, 122–147.
  • 9. Dörfler,W. and McLone, R.R. (1986) Mathematics as a school subject, in B. Christiansen, A.G. Howson and M. Otte (eds.), Perspectives in Mathematics Education, Reidel, Dordrecht, pp. 49–97.
  • 10. Farrell, J.P. and Heyneman, S.P. (1994) Planning for textbook development in developing countries, in T. Hus´en and T.N. Postlethwaite (eds.), International Encyclopedia of Education (2nd ed., Vol. 2), BPC Wheatons, pp. 6360–6366.
  • 11. Woodward, A. (1994) Textbooks, in T. Husen and T.N. Postlethwaite(eds.), International Encyclopedia of Education (2nd ed., Vol. 2),Exeter, pp.6366–6371.
  • 12. Herbst, P. (1995) The Construction of the Real Number System in Textbooks: A Contribution to the Analysis of Discursive Practices in Mathematics, unpublished master’s thesis, University of Georgia, Athens.
  • 13. Ball, D.L. and Feiman-Nemser, S. (1988) Using textbooks and teacher’s guides: A dilemma for beginning teachers and teacher educators, Curriculum Inquiry 18, 401–423.
  • 14. Burstein, L.(ed.), (1993) The IEA Study of Mathematics 3: Student Growth and Classroom Processes, Pergamon Press, Oxford.
  • 15. Kuhs, T.M. and Freeman, D.J. (1979) The Potential Influence of Textbooks on Teachers’ Selection of Content for Elementary School Mathematics, paper presented at the annual meeting of the American Educational Research Association, San Francisco.
  • 16. Howson, G. (1995) Mathematics Textbooks: A Comparative Study of Grade 8 Texts, Pacific Educational Press, Vancouver.
  • 17. Lumsdaine, A.A. (1963) ‘Instruments and media of instruction’, in N.L. Gage (ed.), Handbook of Research on Teaching, Rand McNally, Chicago, pp. 583–682.
  • 18. Remillard, J.T. (2000) ‘Can curriculum materials support teachers’ learning? Two fourthgrade teachers’ use of a new mathematics text’, Elementary School Journal 100, 331– 350.
  • 19. Stodolsky, S.S. (1989) Is teaching really by the book?, in P.W. Jackson and S. Horoutunian- Gordon (eds.), From Socrates to Software: The Teacher as Text and the Text as Teacher (Eighty-Ninth Yearbook of the National Society for the Study of Education, Part I), University of Chicago Press, Chicago, pp. 159–184.
  • 20. Otte, M. (1986) What is a text? in B. Christiansen, A.G. Howson and M. Otte (eds.), Perspectives in Mathematics Education, Reidel, Dordrecht, pp. 173–204.
  • 21. Balacheff, N. and Gaudin, N. (2003) Baghera assessment project , in S. Soury-Lavergne (ed.), Baghera Assessment Project: Designing an Hybrid and Emergent Educational Society. Les Cahiers du Laboratoire Leibniz, # 81, Grenoble, Laboratorie Leibniz-IMAG ( available at www-leibniz.imag.fr/LesCahiers/).
  • 22. Sierpinska A. (1992) On understanding the notion of function, in The concept of function: Aspects of Epistemology and Pedagogy, Mathematical Association of America MAA Notes. 25. 25-58.
  • 23. Chevallard, Y. (1992) Fundamental concepts in didactics: Perspectives provided by an anthropological approach.’ In R. Douady and A. Mercier (eds.), Research in Didactique of Mathematics, La Pensée Sauvage, Grenoble,131-167.
  • 24. Yıldırım A.ve Simsek H. (1999) Sosyal bilimlerde nitel araştırma yöntemleri, Ankara: Seçkin Yayınevi.
  • 25. Beyazıt İ. (2008) Fonksiyonlar konusunun Öğretiminde Karşılaşılan Zorluklar ve Çözüm Önerileri, Matematiksel Kavram Yanılgıları ve Çözüm Önerileri, M.F.Özmantar, E. Bingölbali ve H. Akkoç (Ed). Matematiksel Kavram Yanılgıları ve Çözüm Önerileri (s.91- 117). Ankara: PegemA.
  • 26. Thompson, P. W. (1994) Students, Functions, and the UndergraduateCurriculum. In E. Dubinsky, A. Schoenfeld, & J. Kaput (Eds.), Research in Collegiate Mathematics Education, I, CBMS Issues in Mathematics Education, 4, pp. 21-44.
  • 27. Duval, R. (1993) Registres de représentations sémiotiques et fonctionnement cognitif de la pensée, Annales de Didactique et de Sciences Cognitives, Vol. 5, pp. 37-65.
  • 28. Bloch, I. (2003) Teaching functions in a graphic milieu: What forms of knowledge enable students to conjecture and prove?, Educational Studies in Mathematics Vol. 52, pp. 3-28.
  • 29. Akkoç, H. (2005). Fonksiyon kavramının anlaşılması: Çoklu temsiller ve tanımsal özellikleri, Eğitim Araştırmaları Dergisi, 20, 14 - 24.
  • 30. Rene de Cotret, S. (1988) Une etude sur les representations graphiques du mouvement comme moyen d’acceder au concept de fonction ou de variable dependante, Petit x, 17, 5-27.

DERS KİTAPLARINDA FONKSİYON KAVRAMI: TÜRKİYE VE FRANSA ÖRNEĞİ

Yıl 2011, Cilt: 19 Sayı: 1, 199 - 220, 01.01.2011

Öz

Bu çalışmanın amacı, ders kitaplarında fonksiyon kavramı ile ilgili sunulan matematik organizasyonlarını ortaya koymaktır. Doküman analizi yöntemi kullanılarak yapılan bu çalışmada iki Türk iki de Fransız ders kitabı karşılaştırmalı olarak analiz edilmiştir. Ders kitaplarında öğretim programlarından kaynaklanan farklılıklar vardır. Fakat bunların dışında da her iki ülkede ortak olarak kullanılan tanım ve özelliklerle ilgili matematik organizasyonlarında da önemli farklılıkların olduğu saptanmıştır. Özellikle Fransız ders kitaplarında çok farklı problem tiplerine yer verildiği ve dolayısıyla zengin bir içeriğin sunulduğu dikkat çekmektedir. Ayrıca Türk ders kitaplarında kontrol yapısına hiç yer verilmezken, Fransız ders kitaplarında bu durumun önemsendiği görülmüştür.

Kaynakça

  • 1. Teters, P. and Gabel, D. (1984), 1982-83 Results of the NSTA survey of the needs of elementary teachers regarding their teaching of science, Washington, National Science Teachers Association.
  • 2. Sheldon, L.E.(1988) Evaluating ELT textbooks and materials, ELT Journal 42, 237–246.
  • 3. Sharp, A. (1999) Aspects of English medium textbook use in Hong Kong, New Horizons in Education 40, 93–102.
  • 4. Pepin, B. and Haggarty, L. (2001) Mathematics textbooks and their use in English, French and German classrooms, Zentrablatt fur Didaktik der Mathematik 33, 158–175.
  • 5. Skiersko, A. (1991) Textbook selection and evaluation, in M. Celce-Murcia (ed.), Teaching English as a Second or Foreign Language, Boston, Heinle & Heinle, pp. 432-453.
  • 6. Rymarz, R. and Engebretson, K. (2005) Putting textbooks to work, British Journal of Religious Education 27, 53–63.
  • 7. Kuhn, T.S. (1970) The Structure of Scientific Revolutions (2nd ed.), University of Chicago Press, Chicago.
  • 8. Tanner, D. (1988) The textbook controversies, in L.N. Tanner (ed.), Critical Issues in Curriculum (Eighty-SeventhYearbook of the National Society for the Study of Education, Part I), National Society for the Study of Education, Chicago, 122–147.
  • 9. Dörfler,W. and McLone, R.R. (1986) Mathematics as a school subject, in B. Christiansen, A.G. Howson and M. Otte (eds.), Perspectives in Mathematics Education, Reidel, Dordrecht, pp. 49–97.
  • 10. Farrell, J.P. and Heyneman, S.P. (1994) Planning for textbook development in developing countries, in T. Hus´en and T.N. Postlethwaite (eds.), International Encyclopedia of Education (2nd ed., Vol. 2), BPC Wheatons, pp. 6360–6366.
  • 11. Woodward, A. (1994) Textbooks, in T. Husen and T.N. Postlethwaite(eds.), International Encyclopedia of Education (2nd ed., Vol. 2),Exeter, pp.6366–6371.
  • 12. Herbst, P. (1995) The Construction of the Real Number System in Textbooks: A Contribution to the Analysis of Discursive Practices in Mathematics, unpublished master’s thesis, University of Georgia, Athens.
  • 13. Ball, D.L. and Feiman-Nemser, S. (1988) Using textbooks and teacher’s guides: A dilemma for beginning teachers and teacher educators, Curriculum Inquiry 18, 401–423.
  • 14. Burstein, L.(ed.), (1993) The IEA Study of Mathematics 3: Student Growth and Classroom Processes, Pergamon Press, Oxford.
  • 15. Kuhs, T.M. and Freeman, D.J. (1979) The Potential Influence of Textbooks on Teachers’ Selection of Content for Elementary School Mathematics, paper presented at the annual meeting of the American Educational Research Association, San Francisco.
  • 16. Howson, G. (1995) Mathematics Textbooks: A Comparative Study of Grade 8 Texts, Pacific Educational Press, Vancouver.
  • 17. Lumsdaine, A.A. (1963) ‘Instruments and media of instruction’, in N.L. Gage (ed.), Handbook of Research on Teaching, Rand McNally, Chicago, pp. 583–682.
  • 18. Remillard, J.T. (2000) ‘Can curriculum materials support teachers’ learning? Two fourthgrade teachers’ use of a new mathematics text’, Elementary School Journal 100, 331– 350.
  • 19. Stodolsky, S.S. (1989) Is teaching really by the book?, in P.W. Jackson and S. Horoutunian- Gordon (eds.), From Socrates to Software: The Teacher as Text and the Text as Teacher (Eighty-Ninth Yearbook of the National Society for the Study of Education, Part I), University of Chicago Press, Chicago, pp. 159–184.
  • 20. Otte, M. (1986) What is a text? in B. Christiansen, A.G. Howson and M. Otte (eds.), Perspectives in Mathematics Education, Reidel, Dordrecht, pp. 173–204.
  • 21. Balacheff, N. and Gaudin, N. (2003) Baghera assessment project , in S. Soury-Lavergne (ed.), Baghera Assessment Project: Designing an Hybrid and Emergent Educational Society. Les Cahiers du Laboratoire Leibniz, # 81, Grenoble, Laboratorie Leibniz-IMAG ( available at www-leibniz.imag.fr/LesCahiers/).
  • 22. Sierpinska A. (1992) On understanding the notion of function, in The concept of function: Aspects of Epistemology and Pedagogy, Mathematical Association of America MAA Notes. 25. 25-58.
  • 23. Chevallard, Y. (1992) Fundamental concepts in didactics: Perspectives provided by an anthropological approach.’ In R. Douady and A. Mercier (eds.), Research in Didactique of Mathematics, La Pensée Sauvage, Grenoble,131-167.
  • 24. Yıldırım A.ve Simsek H. (1999) Sosyal bilimlerde nitel araştırma yöntemleri, Ankara: Seçkin Yayınevi.
  • 25. Beyazıt İ. (2008) Fonksiyonlar konusunun Öğretiminde Karşılaşılan Zorluklar ve Çözüm Önerileri, Matematiksel Kavram Yanılgıları ve Çözüm Önerileri, M.F.Özmantar, E. Bingölbali ve H. Akkoç (Ed). Matematiksel Kavram Yanılgıları ve Çözüm Önerileri (s.91- 117). Ankara: PegemA.
  • 26. Thompson, P. W. (1994) Students, Functions, and the UndergraduateCurriculum. In E. Dubinsky, A. Schoenfeld, & J. Kaput (Eds.), Research in Collegiate Mathematics Education, I, CBMS Issues in Mathematics Education, 4, pp. 21-44.
  • 27. Duval, R. (1993) Registres de représentations sémiotiques et fonctionnement cognitif de la pensée, Annales de Didactique et de Sciences Cognitives, Vol. 5, pp. 37-65.
  • 28. Bloch, I. (2003) Teaching functions in a graphic milieu: What forms of knowledge enable students to conjecture and prove?, Educational Studies in Mathematics Vol. 52, pp. 3-28.
  • 29. Akkoç, H. (2005). Fonksiyon kavramının anlaşılması: Çoklu temsiller ve tanımsal özellikleri, Eğitim Araştırmaları Dergisi, 20, 14 - 24.
  • 30. Rene de Cotret, S. (1988) Une etude sur les representations graphiques du mouvement comme moyen d’acceder au concept de fonction ou de variable dependante, Petit x, 17, 5-27.
Toplam 30 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Research Article
Yazarlar

İlyas Yavuz Bu kişi benim

Savaş Baştürk Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 19 Sayı: 1

Kaynak Göster

APA Yavuz, İ., & Baştürk, S. (2011). DERS KİTAPLARINDA FONKSİYON KAVRAMI: TÜRKİYE VE FRANSA ÖRNEĞİ. Kastamonu Education Journal, 19(1), 199-220.

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