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P4C Practices in Mathematics Education: The Case of Math Stories

Yıl 2023, Cilt: 22 Sayı: 3, 515 - 558, 20.10.2023
https://doi.org/10.20981/kaygi.1338302

Öz

This study aims to examine the questions that middle school students formulated during "Philosophy for Children (P4C)" activities. The research is a case study from qualitative research designs. The participants of the study were 7th grade middle school students from a public school. Within the scope of the research, five math story videos were shown to the students as stimuli, and then the students were asked to form questions about these videos and then discuss them. Within the scope of the research, 97 valid questions were generated. These questions were analyzed using an indicator developed by the researchers that included four different categories. These categories are "Basic Knowledge and Recall", "Cause and Effect Analysis", "Critical Thinking and Evaluation" and "Empathizing and Expressing Thoughts". The categories emerged as the questions were analyzed during the research. According to the findings, the questions in the first category are questions related to students' ability to understand and remember basic information, such as who, what, where, when, and how. Questions in the second category were more related to students' ability to understand cause and effect relationships and required students to think more deeply and analytically. In the third category of the study, it was found that students questioned the topics with a critical perspective and discussed different possible scenarios. Finally, in the fourth category, students generated questions related to their ability to express their own thoughts and to understand and accept different perspectives. When the students started the activities, they produced questions mostly in the knowledge and recall category, but as the activities progressed, it was observed that they used different thinking skills such as empathizing and critical thinking to produce questions in this direction and that these skills improved over time. In conclusion, the study provides an important perspective to understand middle school students' question generation skills and thought processes during P4C activities.

Kaynakça

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  • Alexander, M. E., Commander, N., Greenberg, D., & Ward, T. (2010). Using the four-questions technique to enhance critical thinking in online discussions. Journal of Online Learning and Teaching, 6(2), 409-415. https://jolt.merlot.org/vol6no2/alexander_0610.pdf
  • Anderson, R. C., & Pearson, P. D. (1984). A schema-theoretic view of basic processes in reading comprehension. In P. D. Pearson, R. Barr, M. L. Kâmil ve P. Mosenthal (Eds.), Handbook of reading research, 255–291. New York: Longman. https://files.eric.ed.gov/fulltext/ED239236.pdf
  • Barnett, J. E., & Francis, A. L. (2012). Using higher order thinking questions to foster critical thinking: A classroom study. Educational Psychology, 32(2), 201-211. https://doi.org/10.1080/01443410.2011.638619
  • Barrow, W. (2010). Dialogic, participation and the potential for philosophy for children. Thinking Skills and Creativity, 5(2), 61–69. https://doi.org/10.1016/j.tsc.2010.01.002
  • Bogdan, R., & Biklen, S. (1998). Introduction to qualitative research in education. England: Pearson.
  • Braund, M. (2009). Talk in primary science: A method to promote productive and contextualised group discourse. Education 3-13, 37(4), 385–397. https://doi.org/10.1080/03004270903099876
  • Brown, A.L., & Campione, J. C. (1994). Guided discovery in a community of learners, in K. McGilly (ed.), Classroom Lessons: Integrating Cognitive Theory and Classroom Practice, MIT Press, Cambridge, MA, 229–270.
  • Brune, M., & Brune-Cohrs, U. (2006). Theory of mind—evolution, ontogeny, brain mechanisms and psychopathology. Neuroscience & Biobehavioral Reviews, 30(4), 437-455. https://doi.org/10.1016/j.neubiorev.2005.08.001
  • Chang, Y. Y., & Chiou, W. (2015). Means yield to ends in weight loss: focusingon ‘how’ versus ‘why’ aspects of losing weight can lead to poorer regulation ofdietary practices. J. Acad. Nutr. Dietetics 115, 1387–1391. https://doi.org/10.1016/j.jand.2015.02.032
  • Chin, C., Brown, D. E., & Bruce, B. C. (2002). Student-generated questions: A meaningful aspect of learning in science. Journal of Research in Science Teaching, 24(5), 521–549. https://doi.org/10.1080/09500690110095249
  • Chiou, W., Wu, W., & Chang, M. (2013). Think abstractly, smoke less: abrief construal-level intervention can promote self-control, leading to reducedcigarette consumption among current smokers. Addiction 108, 985–992. https://doi.org/10.1111/add.12100
  • Cleary, J. P. (2011). The Role of philosophy for children's community of philosophical ınquiry in critical media literacy (Unpublished Doctoral Dissertation), Montclair State University, New Jersey. Erişim Tarihi: 14.07.2023 (https://digitalcommons.montclair.edu/etd/262/).
  • Cunningham, R., & Smith, J. (2012). P4C in mathematics. Philosophy for children through the secondary curriculum, Ed: Lewis L; Chandley N Pages: 68-91.
  • Daniel, M. (2011). Philosophy, Critical Thinking and Philosophy for Children. Educational Philosophy and Theory, 5(43), 415-435. https://doi.org/10.1111/j.1469-5812.2008.00483.x
  • Daniel, M. F., Gagnon, M., & Auriac-Slusarczyk, E. (2016). Dialogical critical thinking in kindergarten and elementary school: Studies on the impact of philosophical praxis in pupils. In the Routledge İnternational Handbook of Philosophy for Children, 268-276. Routledge. https://doi.org/10.4324/9781315726625
  • Dawes, L. (2004). Talk and learning in classroom science. International Journal of Science Education, 26(6), 677–695. https://doi.org/10.1080/0950069032000097424
  • DeWaelsche, S. A. (2015). Critical thinking, questioning and student engagement in Korean university English courses. Linguistics and Education, 32, 131-147. https://doi.org/10.1016/j.linged.2015.10.003
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Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği

Yıl 2023, Cilt: 22 Sayı: 3, 515 - 558, 20.10.2023
https://doi.org/10.20981/kaygi.1338302

Öz

Bu araştırma, ortaokul öğrencilerinin "Çocuklar için Felsefe (P4C)" etkinlikleri sırasında oluşturdukları soruları incelemeyi amaçlamaktadır. Araştırma nitel araştırma desenlerinden durum çalışmasıdır. Araştırmanın katılımcıları bir devlet okulunda öğrenim göre ortaokul 7. sınıf öğrencileridir. Araştırma kapsamında, beş adet matematik hikayesi videosu öğrencilere uyaran olarak izletilmiş daha sonrasında öğrencilerden izledikleri bu videolara yönelik sorular oluşturmalarını ve akabinde tartışmaları istenmiştir. Araştırma kapsamında 97 adet geçerli soru üretilmiştir. Öğrencilerin oluşturdukları bu sorular, araştırmacılar tarafından geliştirilen dört farklı kategori içeren bir gösterge analiz edilmiştir. Bu kategoriler; "Temel Bilgi ve Hatırlama”, “Neden-Sonuç Analizi” Eleştirel Düşünme ve Değerlendirme” ve “Empati Kurma ve Düşüncelerini İfade Etme” dir. Kategoriler araştırma süresince soruları analiz ettikçe ortaya çıkmıştır. Bulgulara göre, ilk kategorideki sorular öğrencilerin temel bilgileri anlama ve hatırlama yeteneklerine yönelik; kim, ne, nerede, ne zaman ve nasıl gibi sorulardır. İkinci kategorideki sorular daha çok neden-sonuç ilişkilerini anlama becerileri ile ilgili olup, öğrencilerin daha derinlikli ve analitik düşünmelerini gerektirmiştir. Araştırmanın üçüncü kategorisinde, öğrencilerin eleştirel bir bakış açısı ile konuları sorguladığı ve olabilecek farklı senaryoları ele aldığı tespit edilmiştir. Son olarak, dördüncü kategoride öğrencilerin kendi düşüncelerini ifade etme ve farklı bakış açılarını anlama ve kabul etme yetenekleri ile ilgili sorular ürettikleri tespit edilmiştir. Öğrenciler etkinliklere başladığında daha çok bilgi ve hatırlama kategorisinde sorular üretirken etkinlikler ilerledikçe empati kurma, eleştirel düşünme gibi farklı düşünce becerilerini kullanarak bu yönde sorular ürettikleri ve bu becerilerinin zamanla geliştiği gözlemlenmiştir. Sonuç olarak, araştırma ortaokul öğrencilerinin P4C etkinlikleri sırasında soru üretme becerilerini ve düşünce süreçlerini anlamak için önemli bir perspektif sunmaktadır.

Kaynakça

  • Akkocaoğlu Çayır, N., ve Akkoyunlu, B. (2016). Çocuklar için felsefe eğitimi üzerine nitel bir araştırma. Turkish Online Journal of Qualitative Inquiry. 7(2), 97. https://doi.org/10.17569/tojqi.91449
  • Alexander, M. E., Commander, N., Greenberg, D., & Ward, T. (2010). Using the four-questions technique to enhance critical thinking in online discussions. Journal of Online Learning and Teaching, 6(2), 409-415. https://jolt.merlot.org/vol6no2/alexander_0610.pdf
  • Anderson, R. C., & Pearson, P. D. (1984). A schema-theoretic view of basic processes in reading comprehension. In P. D. Pearson, R. Barr, M. L. Kâmil ve P. Mosenthal (Eds.), Handbook of reading research, 255–291. New York: Longman. https://files.eric.ed.gov/fulltext/ED239236.pdf
  • Barnett, J. E., & Francis, A. L. (2012). Using higher order thinking questions to foster critical thinking: A classroom study. Educational Psychology, 32(2), 201-211. https://doi.org/10.1080/01443410.2011.638619
  • Barrow, W. (2010). Dialogic, participation and the potential for philosophy for children. Thinking Skills and Creativity, 5(2), 61–69. https://doi.org/10.1016/j.tsc.2010.01.002
  • Bogdan, R., & Biklen, S. (1998). Introduction to qualitative research in education. England: Pearson.
  • Braund, M. (2009). Talk in primary science: A method to promote productive and contextualised group discourse. Education 3-13, 37(4), 385–397. https://doi.org/10.1080/03004270903099876
  • Brown, A.L., & Campione, J. C. (1994). Guided discovery in a community of learners, in K. McGilly (ed.), Classroom Lessons: Integrating Cognitive Theory and Classroom Practice, MIT Press, Cambridge, MA, 229–270.
  • Brune, M., & Brune-Cohrs, U. (2006). Theory of mind—evolution, ontogeny, brain mechanisms and psychopathology. Neuroscience & Biobehavioral Reviews, 30(4), 437-455. https://doi.org/10.1016/j.neubiorev.2005.08.001
  • Chang, Y. Y., & Chiou, W. (2015). Means yield to ends in weight loss: focusingon ‘how’ versus ‘why’ aspects of losing weight can lead to poorer regulation ofdietary practices. J. Acad. Nutr. Dietetics 115, 1387–1391. https://doi.org/10.1016/j.jand.2015.02.032
  • Chin, C., Brown, D. E., & Bruce, B. C. (2002). Student-generated questions: A meaningful aspect of learning in science. Journal of Research in Science Teaching, 24(5), 521–549. https://doi.org/10.1080/09500690110095249
  • Chiou, W., Wu, W., & Chang, M. (2013). Think abstractly, smoke less: abrief construal-level intervention can promote self-control, leading to reducedcigarette consumption among current smokers. Addiction 108, 985–992. https://doi.org/10.1111/add.12100
  • Cleary, J. P. (2011). The Role of philosophy for children's community of philosophical ınquiry in critical media literacy (Unpublished Doctoral Dissertation), Montclair State University, New Jersey. Erişim Tarihi: 14.07.2023 (https://digitalcommons.montclair.edu/etd/262/).
  • Cunningham, R., & Smith, J. (2012). P4C in mathematics. Philosophy for children through the secondary curriculum, Ed: Lewis L; Chandley N Pages: 68-91.
  • Daniel, M. (2011). Philosophy, Critical Thinking and Philosophy for Children. Educational Philosophy and Theory, 5(43), 415-435. https://doi.org/10.1111/j.1469-5812.2008.00483.x
  • Daniel, M. F., Gagnon, M., & Auriac-Slusarczyk, E. (2016). Dialogical critical thinking in kindergarten and elementary school: Studies on the impact of philosophical praxis in pupils. In the Routledge İnternational Handbook of Philosophy for Children, 268-276. Routledge. https://doi.org/10.4324/9781315726625
  • Dawes, L. (2004). Talk and learning in classroom science. International Journal of Science Education, 26(6), 677–695. https://doi.org/10.1080/0950069032000097424
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  • Fried, M. N. (2001). Can mathematics education and history of mathematics coexist? Science & Education, 10, 391-408. https://doi.org/10.1023/A:1011205014608
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  • Zekâ Var. (2023c, 5 Ağustos). Matematik Hikayeleri 6. Bölüm Leonardo Fibonacci [Video]. Youtube. https://www.youtube.com/watch?v=VY8JpUCG8A0&list=PLZS1HXr9JNQ_CzE9_wRsz9ofJERw0ZN2o&index=6 Zekâ Var. (2023d, 5 Ağustos). Matematik Hikayeleri 14. Bölüm Sıfır [Video]. Youtube. https://www.youtube.com/watch?v=4qnCxDSk6vg&list=PLZS1HXr9JNQ_CzE9_wRsz9ofJERw0ZN2o&index=15
  • Zekâ Var. (2023e, 5 Ağustos). Matematik Hikayeleri 29. Bölüm Eratosthenes [Video]. Youtube. https://www.youtube.com/watch?v=djerIzIdVJs&list=PLZS1HXr9JNQ_CzE9_wRsz9ofJERw0ZN2o&index=33
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Toplam 73 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Sistematik Felsefe (Diğer)
Bölüm Araştırma Makalesi
Yazarlar

İbrahim Çetin 0000-0003-4807-3295

Hatice Çetin 0000-0003-0686-8049

Erken Görünüm Tarihi 18 Ekim 2023
Yayımlanma Tarihi 20 Ekim 2023
Gönderilme Tarihi 5 Ağustos 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 22 Sayı: 3

Kaynak Göster

APA Çetin, İ., & Çetin, H. (2023). Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği. Kaygı. Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Felsefe Dergisi, 22(3), 515-558. https://doi.org/10.20981/kaygi.1338302
AMA Çetin İ, Çetin H. Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği. Kaygı. Ekim 2023;22(3):515-558. doi:10.20981/kaygi.1338302
Chicago Çetin, İbrahim, ve Hatice Çetin. “Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği”. Kaygı. Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Felsefe Dergisi 22, sy. 3 (Ekim 2023): 515-58. https://doi.org/10.20981/kaygi.1338302.
EndNote Çetin İ, Çetin H (01 Ekim 2023) Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği. Kaygı. Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Felsefe Dergisi 22 3 515–558.
IEEE İ. Çetin ve H. Çetin, “Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği”, Kaygı, c. 22, sy. 3, ss. 515–558, 2023, doi: 10.20981/kaygi.1338302.
ISNAD Çetin, İbrahim - Çetin, Hatice. “Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği”. Kaygı. Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Felsefe Dergisi 22/3 (Ekim 2023), 515-558. https://doi.org/10.20981/kaygi.1338302.
JAMA Çetin İ, Çetin H. Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği. Kaygı. 2023;22:515–558.
MLA Çetin, İbrahim ve Hatice Çetin. “Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği”. Kaygı. Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Felsefe Dergisi, c. 22, sy. 3, 2023, ss. 515-58, doi:10.20981/kaygi.1338302.
Vancouver Çetin İ, Çetin H. Matematik Eğitiminde P4C Uygulamaları: Matematik Hikayeleri Örneği. Kaygı. 2023;22(3):515-58.

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