Abdüktif Düşünmenin K12 Beceri Geliştirme Sürecindeki Rolü: Matematik Dersi Örneği

Abstract

Bu çalışmanın amacı, beceri geliştirme sürecinde abdüktif düşünmenin üst düzey düşünme sürecine nasıl yardımcı olduğunu ve öğrenme deneyimlerinin daha verimli, etkili ve kalıcı hale gelmesine nasıl katkı sağladığını açıklamaktır. Bu bağlamda K12 Beceri Çerçevesi: Türkiye Bütüncül Modeli çerçevesinde, K12 Beceriler Çerçevesi Öğretim Tasarımı Modeli temel alınarak belirlenen eğilimler ve dört ana kategoride özetlenen becerilere odaklanan bir beceri geliştirme süreci tasarlanmıştır. Beceri geliştirme için seçilen özel alan, 8. sınıf matematik alt öğrenme alanında “İrrasyonel Sayıların/Tam Kare Olmayan Sayıların Yaklaşık Karekökünü Hesaplama” alanıdır. Bu becerilerin gelişimi için örnek bir ders planı oluşturularak, öğrencilerin bu becerileri nasıl geliştirebilecekleri konusunda rehberlik etmek amaçlanmaktadır. Bununla birlikte birkaç bütünleşik beceriyi içeren bir ara düşünme becerisi olarak tanımlanan abdüktif düşünme becerisinin kullanımı ve geliştirilmesi, söz konusu eğilim ve becerilerin geliştirilmesi noktasında, anlama ve anlamlandırma sürecine katkı sağlayacaktır.

Keywords

• abdüktif düşünme
• K12 beceriler çerçevesi
• beceri geliştirme

The Role of Abductive Thinking in K12 Skill Development Process: Example of Mathematics Lesson

Abstract

The aim of this study is to explain how abductive thinking in the process of skill development helps the higher order thinking process and contributes to making learning experiences more efficient, effective, and permanent. In this context, the K12 Skills Framework: Turkey Holistic Model, a skills development process was designed focusing on the trends identified based on the K12 Skills Framework Instructional Design Model and skills summarized in four main categories. The specific area selected for skill development is “Calculating the Approximate Square Root of Irrational Numbers/Non-Square Numbers” in the 8th grade mathematics sub-learning area. By creating a sample lesson plan for the development of these skills, it is aimed to provide guidance on how students can develop these skills. In addition, the use and development of abductive thinking, which is defined as an intermediate thinking skill that includes several integrated skills, will contribute to the process of understanding and comprehension at the point of developing these tendencies and skills.

Keywords

• abductive thinking
• K12 skills framework
• skill development

References

1. Acemoglu, D., and Restrepo, P. (2019). Automation and new tasks: How technology displaces and reinstates labor. Journal of Economic Perspectives, 33(2), 3-30. https://doi.org/10.1257/jep.33.2.3
2. Adair, J. (2010). Decision making and problem solving strategies. Kogan Page.
3. Akpolat, T. (2023). Abdüktif düşünme becerisi, İçinde G. Ekici (Ed.), Düşünme becerileri ve uygulama örnekleri kılavuz kitabı (ss. 1-26). Vizetek Yayınları.
4. Aşkar, P., Topçu, H. İ., Altun, A., Cırık, İ., ve Kandırmaz, M. (Eds.). (2023). K12 beceriler çerçevesi Türkiye bütüncül modeli. MEB.
5. Burton, L. (1984). Mathematical thinking: The strugle for meaning. Journal for Research in Mathematics Education, 15 (1), 35-49.
6. Cifarelli, V. (1999). Abductive inference: Connections between problem posing and solving. In O. Zaslavsky (Ed.), Proceedings of the conference of the international group for the psychology of mathematics education (pp. 646-653), Israel Institute of Technology.
7. Chiasson, P. (2001). Peirce and educational philosophy. In M. Bergman & J. Queiroz (Eds.), The Commens Encyclopedia: The Digital Encyclopedia of Peirce Studies. New Edition. http://www.commens.org/encyclopedia/article/chiasson-phyllis-peirce-and-educational-philosophy
8. De Paor, C. (2023). Using peircean abduction to understand mentoring. Educational Philosophy and Theory, 55(1), 89-99. https://doi.org/10.1080/00131857.2022.2073220

9. Deming, D. J. (2017). The growing importance of social skills in the labor market. The Quarterly Journal of Economics, 132(4), 1593-1640. https://doi.org/10.1093/qje/qjx022 Dreamson, N., and Khine, P. H. H. (2022). Abductive reasoning: A design thinking experiment. International Journal of Art & Design Education, 41(3), 403-413. https://doi.org/10.1111/jade.12424
10. Elder, L., and Paul, R. (2016). The miniature guide to the art of asking essential questions. The Foundation for Critical Thinking.
11. Ferrando, E. (2006, July). The abductive system. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings 30th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 57-64. PME.
12. Güneş, S. (2013). Matematik eğitiminde argümantasyon ve kanıt süreçlerinin analizi ve karşılaştırılması [Yayımlanmamış yüksek lisans tezi]. Hacettepe Üniversitesi, Eğitim Bilimleri Enstitüsü, Ankara.
13. Güngör, S. ve Özcan, U. (2022). Karar kuramı ve karar verme. Avrupa Bilim ve Teknoloji Dergisi, 33, 119-125. https://doi.org/10.31590/ejosat.1035682
14. Harman, G. (1965). The inference to the best explanation. Philosophical Review, 74, 88-95.
15. Hidayah, I. N., Sa’dijah, C., Subanji, and Sudirman (2020). Characteristics of students’ abductive reasoning in solving algebra problems. Journal on Mathematics Education, 11(3), 347-362. http://doi.org/10.22342/jme.11.3.11869.347-362.
16. Josephson, J. R., and Josephson, S. G. (Eds.). (1996). Abductive inference: Computation, philosophy, technology. Cambridge University Press.
17. Karabey, B., Erdoğan, A., ve Özkale, A. (2023). Matematik alan becerileri. In P. Aşkar, H. İ. Topçu, A. Altun, İ. Cırık ve M. Kandırmaz (Eds.), K12 beceriler çerçevesi: Türkiye bütüncül modeli (pp. 100-123). MEB.
18. Kurbanoğlu, S. (2010). Bilgi okuryazarlığı: Kavramsal bir analiz. Türk Kütüphaneciliği, 24(4), 723-747.
19. Kwon, Y., Jeong, J., and Park, Y. (2006). Roles of abductive reasoning and prior belief in children’s generation of hypotheses about pendulum motion. Science & Education, 15, 643-656. http://doi.org/10.1007/s11191-004-6407-x
20. Magnani, L. (2009). Abductive cognition: The epistemological and eco-cognitive dimensions of hypothetical reasoning. Springer.
21. Magnani, L. (2017). Abductive structure of scientific creativity. Springer.
22. Mejia-Ramos, J. P., and Inglis, M. (2008). What are the argumentative activities associated with proof?. Proceedings of the British Society for Research into Learning Mathematics, 28 (2),67-72. https://doi.org/10.1080/14794800902732258
23. Mirza, N. A., Akhtar‐Danesh, N., Noesgaard, C., Martin, L., and Staples, E. (2014). A concept analysis of abductive reasoning. Journal of Advanced Nursing, 70 (9), 1980-1994. https://doi.org/10.1111/jan.12379
24. Mourtos, N. J., Okamoto, N. D., and Rhee, J. (2004, February). Defining, teaching, and assessing problem solving skills. In 7th UICEE Annual Conference on Engineering Education (pp. 1-5).
25. OECD. (2017). PISA 2015 results (Volume V): Collaborative problem solving, PISA, OECD Publishing, Paris. https://doi.org/10.1787/9789264285521-en
26. Ofoha, D. (2011). Assessment of the implementation of the secondary school skill-based curriculum to youth empowerment in Nigeria. Edo Journal of Counselling, 4 (1&2), 75-91.
27. Özhan, M. B., Taşgın, A., Kandırmaz, M., Kerkez, B., ve Elçi, Y. (2023). Sosyal-duygusal öğrenme becerileri. In P. Aşkar, H. İ. Topçu, A. Altun, İ. Cırık ve M. Kandırmaz (Eds.), K12 beceriler çerçevesi: Türkiye bütüncül modeli (pp. 37-58). MEB.
28. Patokorpi, E., and Ahvenainen, M. (2009). Developing an abduction-based method for futures research. Futures, 41 (3), 126-139. https://doi.org/10.1016/j.futures.2008.09.019
29. Peirce, C. S. (1965). Collected papers of Charles Sanders Peirce, Vol. II: Elements of logic. Belknap Press.
30. Prince, M., and Felder, R. (2007). The many faces of inductive teaching and learning. Journal of College Science Teaching, 36 (5), 14-20.
31. Raholm, M. B. (2010) Abductive reasoning and the formation of scientific knowledge within nursing research. Nursing Philosophy ,11, 260–270. https://doi.org/10.1111/nup.12421
32. Rapanta, C. (2018). Teaching as abductive reasoning: The role of argumentation. Informal Logic, 38 (2), 293–311. https://doi.org/10.22329/il.v38i2.4849
33. Reid, D. A. (2018). Abductive reasoning in mathematics education: Approaches to and theorisations of a complex idea. Eurasia Journal of Mathematics, Science and Technology Education, 14 (9), em1584. https://doi.org/10.29333/ejmste/92552.
34. Scott, D., and Morrison, M. (2005). Key ideas in educational research. Continuum.
35. Shani, A. B., Coghlan, D., and Alexander, B. N. (2020). Rediscovering abductive reasoning in organization development and change research. The Journal Applied Behavioral Science, 56 (1), 60-72. https://doi.org/10.1177/0021886319893016
36. Tolmin, S. E. (1958). The uses of argument. Cambridge University Press.
37. Walton, D. (2014). Abductive reasoning. University of Alabama Press.
38. Woods, D. R., Hrymak, A. N., Marshall, R. R., Wood, P. E., Crowe, C. M., Hoffman, T. W., Wright, J. D., Taylor, P. A., Woodhouse, K. A., and Bouchard, C. G. K. (1997). Developing problem solving skills: The mcmaster problem solving program. Journal of Engineering Education, 86 (2), 75-91. https://doi.org/10.1002/j.2168-9830.1997.tb00270.x