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Ortaöğretim Matematik Öğretmeni Adaylarının Okul Uygulamalarında Matematiksel Düşünme Odaklı Öğretimi Planlama Becerileri

Yıl 2016, , 292 - 319, 30.12.2016
https://doi.org/10.17522/balikesirnef.277923

Öz

Bu çalışmada, ortaöğretim
matematik öğretmen adaylarının Öğretmenlik Uygulaması dersi kapsamındaki okul
uygulamalarında matematiksel düşünme odaklı öğretimi planlama becerilerinin
belirlenmesi amaçlanmıştır. Çalışma, Matematiksel düşünme odaklı öğretim
uygulamasına katılmış olan 20 öğretmen adayı ile yürütülmüştür. Çalışma
kapsamında matematiksel görev, öğrencilerin dikkatini belirli bir matematiksel
düşünceye odaklamak amacıyla yapılan sınıf etkinliği olarak tanımlanmış ve öğretmen
adaylarından okul uygulamaları için kendilerinin belirledikleri matematiksel
görevler çerçevesinde planlar yapmaları istenmiştir. Öğretmen adaylarının
yapmış oldukları planlar, ders planlama öğeleri rubriği ile analiz edilerek
puanlanmıştır. Rubrik araştırmanın dayandığı teorik çerçeveye uygun bir araçtır.
Yapılan analizler sonucunda, öğretmen adaylarının yapmış oldukları planların
ders planlama öğeleri rubriğinde yer alan dersin matematiksel amacını
belirleme; öğrencilerin doğru çözümlerini ve hatalı çözümlerini öngörme;
öğrenci düşünmesini değerlendirip ilerletecek sorular belirleme; öğrenci
düşünmesine dayandırılan ve dersteki matematiksel düşünceleri belirginleştiren tartışma
düzenleme şeklindeki öğelere göre ve toplamda yüksek puanlar aldıkları
görülmüştür. Buna göre öğretmen adaylarının okul uygulamaları için yapmış
oldukları planlarda öğrencilerinin matematiksel düşünmelerine
odaklanabildikleri sonucuna ulaşılmıştır.


Kaynakça

  • Alkan, H. ve Güzel, E. B. (2005). Öğretmen Adaylarında Matematiksel Düşünmenin Gelişimi. Gazi Eğitim Fakültesi Dergisi, 25 (3), 221–236.
  • Barnett, C. (1998). Mathematics Teaching Cases as a Catalyst for Informed Strategic Inquiry. Teaching and Teacher Education, 14(1), 81–93.
  • Boston, M. D. (2006). Developing Secondary Mathematics Teachers’ Knowledge of and Capacity to Implement Instructional Tasks with High Level Cognitive Demands. Unpublished Ph.D. Thesis, University of Pittsburgh, School of Education, Department of Instruction and Learning, Pittsburgh.
  • Cai, J. (2003). Singaporean Students’ Mathematical Thinking in Problem Solving and Problem Posing: an Exploratory Study. International Journal of Mathematics Education in Science and Technology, 34(5), 719–737.
  • Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. P. and Loef, M. (1989). Using Knowledge of Children’s Mathematics Thinking in Classroom Teaching: An Experimental Study. American Educational Research Journal, 26(4), 499–531.
  • Crespo, S. (2000). Seeing More Than Right and Wrong Answers: Prospective Teachers’ Interpretations of Students’ Mathematical Work. Journal of Mathematics Teacher Education, 3(2), 155–181.
  • Duran, N (2005). Matematiksel Düşünme Becerilerine İlişkin Bir Araştırma. Yayınlanmamış Yüksek Lisans Tezi, Hacettepe Üniversitesi, Sosyal Bilimler Enstitüsü, Ankara.
  • Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. B. and Empson, S. B. (1996). A Longitudinal Study of Learning to Use Children’s Thinking in Mathematics Instruction. Journal for Research in Mathematics Education, 27(4), 403–434.
  • Fernandez, C. and Chokshi, S. (2002). A Practical Guide to Translating Lesson Study for a U.S. Setting. Phi Delta Kappan, 84 (2), 128–134.
  • Fernandez, C., Cannon, J. and Chokshi, S. (2003). A US-Japan Lesson Study Collaboration Reveals Critical Lenses for Examining Practice. Teaching and Teacher Education, 19, 171–185.
  • Franke, M. L. and Kazemi, E. (2001). Learning to Teach Mathematics: Focus on Student Thinking. Theory into Practice, 40(2), 102–109.
  • Henderson, P.B., Baldwin, D., Dasigi, V., Dupras, M., Fritz, S. J., Ginat, D. vd. (2001). Striving for Mathematical Thinking. The 6th Annual Conference on Innovation and Technology in Computer Science Education, Working Group Report, ACM SIGCSE Bulletin, 33 (4), 114–124. (30 Mart 2010), blue.butler.edu/~phenders/striving.doc
  • Henderson, P. B., Fritz, S. J., Hamer, J., Hitcher, L., Marion, B., Riedesel, C. and Scharf, C. (2002). Materials Development in Support of Mathematical Thinking. The 7th Annual Conference on Innovation and Technology in Computer Science Education, Working Group Report, ACM SIGCSE Bulletin, 35 (2), 185–190. (30 Mart 2010), http://www.cs.geneseo.edu/~baldwin/math-thinking/iticse2002-paper.pdf
  • Henningsen, M. and Stein, M. K. (1997). Mathematical Tasks and Student Cognition: Classroom Based Factors that Support and Inhibit High-Level Mathematical Thinking. Journal for Research in Mathematics Education, 28(5), 524–549.
  • Hughes, E. K. (2006). Lesson Planning as a Vehicle for Developing Pre-Service Secondary Teachers’ Capacity to Focus on Students’ Mathematical Thinking. Unpublished Ph.D. Thesis, University of Pittsburgh, School of Education, Department of Instruction and Learning, Pittsburgh.
  • Hughes, E. K. and Smith, M. S. (2004). Thinking through a Lesson: Lesson Planning as Evidence of and a Vehicle for Teacher Learning. American Educational Research Association-AERA 2004 Annual Meeting, San Diego, CA.
  • Johnson, B. and Christensen, L. (2004). Educational Research: Quantitative, Qualitative and Mixed Approaches (Second Edition). Boston: Pearson Education, Inc.
  • Johnson, R. B., and Onwuegbuzıe, A. J. (2004). Mixed Methods Research: A Research Paradigm Whose Time has Come. Educational Researcher, 33(7), 14–26.
  • Kazemi, E. and Franke, M. L. (2004). Teacher Learning in Mathematics: Using Student Work to Promote Collective Inquiry. Journal of Mathematics Teacher Education, 7, 203–235.
  • Lee, K. (2006). Teacher’s Knowledge of Middle School Students’ Mathematical Thinking in Algebra Word Problem Solving. Unpublished Ph.D. Thesis, Oregon State University, Corvallis.
  • Lesson Study Research Group (2002). Teachers College, Columbia University. (15 Nisan 2010), http://www.tc.columbia.edu/lessonstudy/lessonstudy.html
  • Lewis, C. and Tsuchida, I. (1998). A Lesson is Like a Swiftly Flowing River: Research Lessons and the Improvement of Japanese Education. American Educator, 22(4), 14–17 and 50–52.
  • Little, J., Gearhart, M., Curry, M. and Kafka, J. (2003). Looking at Student Work for Teacher Learning, Teacher Community and School Reform. Phi Delta Kappan, 85(3), 185–192.
  • Lutfiyya, A.L. (1998). Mathematical Thinking of High School Students in Nebraska. International Journal of Mathematical Education in Science and Technology. 29 (1), 55–64.
  • Masingila, J. and Doerr, H. M. (2002). Understanding Pre-Service Teachers’ Emerging Practices through Their Analyses of a Multimedia Case Study Of Practice. Journal of Mathematics Teacher Education, 5, 235–263.
  • Metz, M. L. D. (2007). A Study of High School Mathematics Teachers’ Ability to Identify and Create Questions that Support Students’ Understanding of Mathematics. Unpublished Ph.D. Thesis, University of Pittsburgh, School of Education, Department of Instruction and Learning, Pittsburgh.
  • Miles, M. B. and Huberman, A. M. (1994). Qualitative Data Analysis. Second Edition. London: SAGE.
  • Milli Eğitim Bakanlığı [MEB] (2005). Ortaöğretim Matematik (9,10,11 ve 12. Sınıflar) Dersi Öğretim Programı. Milli Eğitim Bakanlığı, Ankara.
  • Milli Eğitim Bakanlığı [MEB] (2013). Ortaöğretim Matematik Dersi (9,10,11 ve 12. Sınıflar) Öğretim Programı. Milli Eğitim Bakanlığı, Ankara.
  • Mubark, M. (2005). Mathematical Thinking and Mathematical Achievement of Students in the Year of 11 Scientific Stream in Jordan. Unpublished Ph.D. Thesis, University of Newcastle, School of Education and Arts, Callaghan.
  • Ovayolu, Ö. (2010). Türkiye’deki Öğrencilerin PISA 2006 Matematik Alt Testindeki Düşünme Süreçlerine İlişkin Puan Dağılımları. Yayınlanmamış Yüksek Lisans Tezi, Ankara Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  • Öztürk, G. ve Akyüz, G (2013). Öğretmen Adaylarının Matematiksel Düşünmeye Odaklı Öğretimi Planlama Becerilerinin İncelenmesi. Kastamonu Eğitim Dergisi, 21(3), 841–864.
  • Schifter, D. (1998). Learning Mathematics for Teaching: From a Teachers’ Seminar to the Classroom. Journal of Mathematics Teacher Education, 1(1), 55–87.
  • Sherin, M. and Han, S. Y. (2004). Teacher Learning in the Context of a Video Club. Teaching and Teacher Education, 20, 163–183.
  • Smith, M.S., Bill, V. and Hughes, E.K. (2008). Thinking through a Lesson Protocol: A Key for Successfully Implementing High-Level Tasks. Mathematics Teaching in the Middle School, 14(3), 132–138.
  • Song, M.J. and Ginsburg. H.P. (1987). The Development of Informal and Formal Mathematical Thinking in Korean and U S Children. Child Development, 58, 1286–1296.
  • Stacey, K. (2006). What is Mathematical Thinking and Why is it Important? APEC-Tsukuba International Conference, Tokyo and Sapporo, Japan. (30 Mart 2010), http://www.apecneted.org/resources/files/12_3-4_06_1_Stacey.pdf
  • Stein, M. K., Engle, R. A., Hughes, E. K. and Smith, M. S. (2008). Orchestrating Productive Mathematical Discussions: Five Practices for Helping Teachers Move Beyond Show and Tell. Mathematical Thinking and Learning, 10, 313–340.
  • Stein, M. K., Grover, B. W. and Henningsen, M. (1996). Building Student Capacity for Mathematical Thinking and Reasoning: An Analysis of Mathematical Tasks Used in Reform Classrooms. American Education Research Journal, 33, 455–488.
  • Stein, M. K., Smith, M. S., Henningsen, M. and Silver, E. A. (2000). Implementing Standards Based Mathematics Instruction: A Casebook for Professional Development. New York: Teachers College Press.
  • Swafford, J., Jones, G. and Thornton, C. (1997). Increased Knowledge in Geometry and Instructional Practice. Journal for Research in Mathematics Education, 28(4), 467–483.
  • Umay, A. (1992). Matematiksel Düşünmede Süreci ve Sonucu Yoklayan Testler Arasında Bir Karşılaştırma. Yayınlanmamış Doktora Tezi, Hacettepe Üniversitesi Sosyal Bilimler Enstitüsü, Ankara.
  • Vacc, N. N. and Bright, G. W. (1999). Elementary Preservice Teachers’ Changing Beliefs and Instructional Use of Children’s Mathematical Thinking. Journal for Research in Mathematics Education, 30(1), 89–110.
  • Wang-Iverson, P. (2002). What is Lesson Study? Research for Beter Schools - RBS Currents, 5 (2), 1–2.
  • Warfield, J. (2001). Where Mathematics Content Knowledge Matters: Learning about and Building on Children’s Mathematical Thinking. (Eds: Wood, T., Nelson, B. S. and Warfield, J.), Beyond Classical Pedagogy: Teaching Elementary School Mathematics, Mahwah, NJ: Lawrence Erlbaum Associates,135–155.
  • Weiss, I. R., Pasley, J. D., Smith, P. S., Banilower, E. R. and Heck, D. J. (2003). Looking inside the Classroom: A Study of K–12 Mathematics and Science Education in the United States. Chapel Hill, NC: Horizon Research. (30 Mart 2010), http://www.horizon-research.com/insidetheclassroom/reports/highlights/highlights.pdf
  • Yeşildere, S. (2006). Farklı Matematiksel Güce Sahip İlköğretim 6, 7 ve 8. Sınıf Öğrencilerinin Matematiksel Düşünme ve Bilgiyi Oluşturma Süreçlerinin İncelenmesi. Yayınlanmamış Doktora Tezi, Dokuz Eylül Üniversitesi Eğitim Bilimleri Enstitüsü, İzmir.
  • Yıldırım, C. (2008). Matematiksel Düşünme. İstanbul: Remzi Kitapevi.
  • Yıldırım, A. ve Simsek, H. (2006). Sosyal Bilimlerde Nitel Araştırma Yöntemleri. Ankara: Seçkin Yayıncılık.
  • Yoshida, M. (1999). Lesson Study: A Case Study of a Japanese Approach to Improving Instruction through School-Based Teacher Development. Unpublished Ph.D. Thesis, University of Chicago, Chicago

Preservice Secondary Mathematics Teachers’ Skills in Planning of Teaching Focused on Mathematical Thinking in School Practice

Yıl 2016, , 292 - 319, 30.12.2016
https://doi.org/10.17522/balikesirnef.277923

Öz

In this study, which was conducted with 20 preservice teachers
participated in the instruction  focused
on mathematical thinking, it was aimed to determine preservice teachers’ skills
in planning of teaching focusing on mathematical thinking in the school
practice. It is a part of teaching practice course in which the preservice
teachers attended one semester after the instruction. In the study, a classroom
activity carried out by students, that focuses their attention on a specific mathematical
thought was defined as a mathematical task and the preservice teachers were
asked to make plans for school practice using mathematical tasks of their
choice. The plans made by preservice teachers were analyzed with a scoring
rubric for attention to students’ thinking. The rubric is a tool relevant to
the theoretical framework of the research. In the analysis, it was observed
that the plans made by preservice teachers got high scores in total and according
to the dimensions of the rubric which are mathematical goal, anticipating
students’ correct and incorrect thinking, asking questions that are assessing
and advancing students’ thinking, discussion that is based on students’
thinking and that is making the mathematics clear. Accordingly, it was
concluded that the preservice teachers could focus on students' mathematical
thinking in their plans made for school practice.


Kaynakça

  • Alkan, H. ve Güzel, E. B. (2005). Öğretmen Adaylarında Matematiksel Düşünmenin Gelişimi. Gazi Eğitim Fakültesi Dergisi, 25 (3), 221–236.
  • Barnett, C. (1998). Mathematics Teaching Cases as a Catalyst for Informed Strategic Inquiry. Teaching and Teacher Education, 14(1), 81–93.
  • Boston, M. D. (2006). Developing Secondary Mathematics Teachers’ Knowledge of and Capacity to Implement Instructional Tasks with High Level Cognitive Demands. Unpublished Ph.D. Thesis, University of Pittsburgh, School of Education, Department of Instruction and Learning, Pittsburgh.
  • Cai, J. (2003). Singaporean Students’ Mathematical Thinking in Problem Solving and Problem Posing: an Exploratory Study. International Journal of Mathematics Education in Science and Technology, 34(5), 719–737.
  • Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. P. and Loef, M. (1989). Using Knowledge of Children’s Mathematics Thinking in Classroom Teaching: An Experimental Study. American Educational Research Journal, 26(4), 499–531.
  • Crespo, S. (2000). Seeing More Than Right and Wrong Answers: Prospective Teachers’ Interpretations of Students’ Mathematical Work. Journal of Mathematics Teacher Education, 3(2), 155–181.
  • Duran, N (2005). Matematiksel Düşünme Becerilerine İlişkin Bir Araştırma. Yayınlanmamış Yüksek Lisans Tezi, Hacettepe Üniversitesi, Sosyal Bilimler Enstitüsü, Ankara.
  • Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. B. and Empson, S. B. (1996). A Longitudinal Study of Learning to Use Children’s Thinking in Mathematics Instruction. Journal for Research in Mathematics Education, 27(4), 403–434.
  • Fernandez, C. and Chokshi, S. (2002). A Practical Guide to Translating Lesson Study for a U.S. Setting. Phi Delta Kappan, 84 (2), 128–134.
  • Fernandez, C., Cannon, J. and Chokshi, S. (2003). A US-Japan Lesson Study Collaboration Reveals Critical Lenses for Examining Practice. Teaching and Teacher Education, 19, 171–185.
  • Franke, M. L. and Kazemi, E. (2001). Learning to Teach Mathematics: Focus on Student Thinking. Theory into Practice, 40(2), 102–109.
  • Henderson, P.B., Baldwin, D., Dasigi, V., Dupras, M., Fritz, S. J., Ginat, D. vd. (2001). Striving for Mathematical Thinking. The 6th Annual Conference on Innovation and Technology in Computer Science Education, Working Group Report, ACM SIGCSE Bulletin, 33 (4), 114–124. (30 Mart 2010), blue.butler.edu/~phenders/striving.doc
  • Henderson, P. B., Fritz, S. J., Hamer, J., Hitcher, L., Marion, B., Riedesel, C. and Scharf, C. (2002). Materials Development in Support of Mathematical Thinking. The 7th Annual Conference on Innovation and Technology in Computer Science Education, Working Group Report, ACM SIGCSE Bulletin, 35 (2), 185–190. (30 Mart 2010), http://www.cs.geneseo.edu/~baldwin/math-thinking/iticse2002-paper.pdf
  • Henningsen, M. and Stein, M. K. (1997). Mathematical Tasks and Student Cognition: Classroom Based Factors that Support and Inhibit High-Level Mathematical Thinking. Journal for Research in Mathematics Education, 28(5), 524–549.
  • Hughes, E. K. (2006). Lesson Planning as a Vehicle for Developing Pre-Service Secondary Teachers’ Capacity to Focus on Students’ Mathematical Thinking. Unpublished Ph.D. Thesis, University of Pittsburgh, School of Education, Department of Instruction and Learning, Pittsburgh.
  • Hughes, E. K. and Smith, M. S. (2004). Thinking through a Lesson: Lesson Planning as Evidence of and a Vehicle for Teacher Learning. American Educational Research Association-AERA 2004 Annual Meeting, San Diego, CA.
  • Johnson, B. and Christensen, L. (2004). Educational Research: Quantitative, Qualitative and Mixed Approaches (Second Edition). Boston: Pearson Education, Inc.
  • Johnson, R. B., and Onwuegbuzıe, A. J. (2004). Mixed Methods Research: A Research Paradigm Whose Time has Come. Educational Researcher, 33(7), 14–26.
  • Kazemi, E. and Franke, M. L. (2004). Teacher Learning in Mathematics: Using Student Work to Promote Collective Inquiry. Journal of Mathematics Teacher Education, 7, 203–235.
  • Lee, K. (2006). Teacher’s Knowledge of Middle School Students’ Mathematical Thinking in Algebra Word Problem Solving. Unpublished Ph.D. Thesis, Oregon State University, Corvallis.
  • Lesson Study Research Group (2002). Teachers College, Columbia University. (15 Nisan 2010), http://www.tc.columbia.edu/lessonstudy/lessonstudy.html
  • Lewis, C. and Tsuchida, I. (1998). A Lesson is Like a Swiftly Flowing River: Research Lessons and the Improvement of Japanese Education. American Educator, 22(4), 14–17 and 50–52.
  • Little, J., Gearhart, M., Curry, M. and Kafka, J. (2003). Looking at Student Work for Teacher Learning, Teacher Community and School Reform. Phi Delta Kappan, 85(3), 185–192.
  • Lutfiyya, A.L. (1998). Mathematical Thinking of High School Students in Nebraska. International Journal of Mathematical Education in Science and Technology. 29 (1), 55–64.
  • Masingila, J. and Doerr, H. M. (2002). Understanding Pre-Service Teachers’ Emerging Practices through Their Analyses of a Multimedia Case Study Of Practice. Journal of Mathematics Teacher Education, 5, 235–263.
  • Metz, M. L. D. (2007). A Study of High School Mathematics Teachers’ Ability to Identify and Create Questions that Support Students’ Understanding of Mathematics. Unpublished Ph.D. Thesis, University of Pittsburgh, School of Education, Department of Instruction and Learning, Pittsburgh.
  • Miles, M. B. and Huberman, A. M. (1994). Qualitative Data Analysis. Second Edition. London: SAGE.
  • Milli Eğitim Bakanlığı [MEB] (2005). Ortaöğretim Matematik (9,10,11 ve 12. Sınıflar) Dersi Öğretim Programı. Milli Eğitim Bakanlığı, Ankara.
  • Milli Eğitim Bakanlığı [MEB] (2013). Ortaöğretim Matematik Dersi (9,10,11 ve 12. Sınıflar) Öğretim Programı. Milli Eğitim Bakanlığı, Ankara.
  • Mubark, M. (2005). Mathematical Thinking and Mathematical Achievement of Students in the Year of 11 Scientific Stream in Jordan. Unpublished Ph.D. Thesis, University of Newcastle, School of Education and Arts, Callaghan.
  • Ovayolu, Ö. (2010). Türkiye’deki Öğrencilerin PISA 2006 Matematik Alt Testindeki Düşünme Süreçlerine İlişkin Puan Dağılımları. Yayınlanmamış Yüksek Lisans Tezi, Ankara Üniversitesi Eğitim Bilimleri Enstitüsü, Ankara.
  • Öztürk, G. ve Akyüz, G (2013). Öğretmen Adaylarının Matematiksel Düşünmeye Odaklı Öğretimi Planlama Becerilerinin İncelenmesi. Kastamonu Eğitim Dergisi, 21(3), 841–864.
  • Schifter, D. (1998). Learning Mathematics for Teaching: From a Teachers’ Seminar to the Classroom. Journal of Mathematics Teacher Education, 1(1), 55–87.
  • Sherin, M. and Han, S. Y. (2004). Teacher Learning in the Context of a Video Club. Teaching and Teacher Education, 20, 163–183.
  • Smith, M.S., Bill, V. and Hughes, E.K. (2008). Thinking through a Lesson Protocol: A Key for Successfully Implementing High-Level Tasks. Mathematics Teaching in the Middle School, 14(3), 132–138.
  • Song, M.J. and Ginsburg. H.P. (1987). The Development of Informal and Formal Mathematical Thinking in Korean and U S Children. Child Development, 58, 1286–1296.
  • Stacey, K. (2006). What is Mathematical Thinking and Why is it Important? APEC-Tsukuba International Conference, Tokyo and Sapporo, Japan. (30 Mart 2010), http://www.apecneted.org/resources/files/12_3-4_06_1_Stacey.pdf
  • Stein, M. K., Engle, R. A., Hughes, E. K. and Smith, M. S. (2008). Orchestrating Productive Mathematical Discussions: Five Practices for Helping Teachers Move Beyond Show and Tell. Mathematical Thinking and Learning, 10, 313–340.
  • Stein, M. K., Grover, B. W. and Henningsen, M. (1996). Building Student Capacity for Mathematical Thinking and Reasoning: An Analysis of Mathematical Tasks Used in Reform Classrooms. American Education Research Journal, 33, 455–488.
  • Stein, M. K., Smith, M. S., Henningsen, M. and Silver, E. A. (2000). Implementing Standards Based Mathematics Instruction: A Casebook for Professional Development. New York: Teachers College Press.
  • Swafford, J., Jones, G. and Thornton, C. (1997). Increased Knowledge in Geometry and Instructional Practice. Journal for Research in Mathematics Education, 28(4), 467–483.
  • Umay, A. (1992). Matematiksel Düşünmede Süreci ve Sonucu Yoklayan Testler Arasında Bir Karşılaştırma. Yayınlanmamış Doktora Tezi, Hacettepe Üniversitesi Sosyal Bilimler Enstitüsü, Ankara.
  • Vacc, N. N. and Bright, G. W. (1999). Elementary Preservice Teachers’ Changing Beliefs and Instructional Use of Children’s Mathematical Thinking. Journal for Research in Mathematics Education, 30(1), 89–110.
  • Wang-Iverson, P. (2002). What is Lesson Study? Research for Beter Schools - RBS Currents, 5 (2), 1–2.
  • Warfield, J. (2001). Where Mathematics Content Knowledge Matters: Learning about and Building on Children’s Mathematical Thinking. (Eds: Wood, T., Nelson, B. S. and Warfield, J.), Beyond Classical Pedagogy: Teaching Elementary School Mathematics, Mahwah, NJ: Lawrence Erlbaum Associates,135–155.
  • Weiss, I. R., Pasley, J. D., Smith, P. S., Banilower, E. R. and Heck, D. J. (2003). Looking inside the Classroom: A Study of K–12 Mathematics and Science Education in the United States. Chapel Hill, NC: Horizon Research. (30 Mart 2010), http://www.horizon-research.com/insidetheclassroom/reports/highlights/highlights.pdf
  • Yeşildere, S. (2006). Farklı Matematiksel Güce Sahip İlköğretim 6, 7 ve 8. Sınıf Öğrencilerinin Matematiksel Düşünme ve Bilgiyi Oluşturma Süreçlerinin İncelenmesi. Yayınlanmamış Doktora Tezi, Dokuz Eylül Üniversitesi Eğitim Bilimleri Enstitüsü, İzmir.
  • Yıldırım, C. (2008). Matematiksel Düşünme. İstanbul: Remzi Kitapevi.
  • Yıldırım, A. ve Simsek, H. (2006). Sosyal Bilimlerde Nitel Araştırma Yöntemleri. Ankara: Seçkin Yayıncılık.
  • Yoshida, M. (1999). Lesson Study: A Case Study of a Japanese Approach to Improving Instruction through School-Based Teacher Development. Unpublished Ph.D. Thesis, University of Chicago, Chicago
Toplam 50 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

Gülcan Öztürk

Gözde Akyüz Bu kişi benim

Yayımlanma Tarihi 30 Aralık 2016
Gönderilme Tarihi 6 Kasım 2015
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Öztürk, G., & Akyüz, G. (2016). Preservice Secondary Mathematics Teachers’ Skills in Planning of Teaching Focused on Mathematical Thinking in School Practice. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 10(2), 292-319. https://doi.org/10.17522/balikesirnef.277923