Journals / Journal of Computer and Education Research / 2023 / Cilt: 11 Sayı: 22

Didactic Praxeologies Employed by Mathematics Teachers in Teaching the Inverse Function

Pages
1089–1112
Publication Date
2023-10-27
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It was determined that teachers did not structure both praxeologies well and made sudden transitions from one praxeology to another.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study investigates the praxeologies teachers use about the inverse function in the teaching process when the curriculum is changed.
📊
Key Findings & Data:A case study, one of the qualitative research methods, was used in the study.
💡
Conclusion & Impact:It was determined that teachers did not structure both praxeologies well and made sudden transitions from one praxeology to another.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Anthropological theory of didactics · praxeology · teachers

Abstract

This study investigates the praxeologies teachers use about the inverse function in the teaching process when the curriculum is changed. A case study, one of the qualitative research methods, was used in the study. The participants of the study were three experienced mathematics teachers. The data were collected by recording the teaching process of the teachers with a video camera and a voice recorder. The praxeological analysis method of the Anthropological Theory of Didactics (ATD) was used in the data analysis. The findings of the study show that teachers use two different praxeologies in the inverse function. The first one is praxeology based on informal mapping with the effect of the dominant definition of the concept of function in the curriculum, and this praxeology was used to introduce the concept of inverse function. The other praxeology, which shows the monoid structure more clearly, emerged due to both a necessity and the necessity to exhibit an approach appropriate to the curriculum in more complex tasks and was shaped as a mixed praxeology. It was determined that teachers did not structure both praxeologies well and made sudden transitions from one praxeology to another.

Özet

This study investigates the praxeologies teachers use about the inverse function in the teaching process when the curriculum is changed. A case study, one of the qualitative research methods, was used in the study. The participants of the study were three experienced mathematics teachers. The data were collected by recording the teaching process of the teachers with a video camera and a voice recorder. The praxeological analysis method of the Anthropological Theory of Didactics (ATD) was used in the data analysis. The findings of the study show that teachers use two different praxeologies in the inverse function. The first one is praxeology based on informal mapping with the effect of the dominant definition of the concept of function in the curriculum, and this praxeology was used to introduce the concept of inverse function. The other praxeology, which shows the monoid structure more clearly, emerged due to both a necessity and the necessity to exhibit an approach appropriate to the curriculum in more complex tasks and was shaped as a mixed praxeology. It was determined that teachers did not structure both praxeologies well and made sudden transitions from one praxeology to another.

🔖

Cite This Article

GÖK, M., ERDOĞAN, A. (2023). Didactic Praxeologies Employed by Mathematics Teachers in Teaching the Inverse Function. Journal of Computer and Education Research, Cilt: 11 Sayı: 22, 1089–1112. https://ajindex.com/articles/971981

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  1. Artigue, M., & Winsløw, C. (2010). International comparative studies on mathematics education: A viewpoint from the anthropological theory of didactics. Recherches en didactiques des mathématiques, 30(1), 47-82. Barbe´, J., Bosch, M., Espinoza, L., & Gascón, J. (2005). Didactic restrictions on the teacher’s practice: The case of limits of functions in Spanish high schools. Educational Studies in Mathematics, 59, 235–268. https://doi.org/10.1007/0-387-30451-7_9
  2. Barquero, B., Jessen, B.E., Ruiz-Hidalgo, J.F., & Goldin, J. (2023). What theories and methodologies are appropriate for studying phenomena related to mathematics curriculum reforms?. In Y. Shimizu, R. Vithal, (eds.) Mathematics Curriculum Reforms Around the World (pp. 193-217). New ICMI Study Series. Cham: Springer. Bosch, M. (2015). Doing research within the anthropological theory of the didactic: The case of school algebra. In S. J. Cho (Ed.), Selected regular lectures from the 12th International Congress on Mathematical Education (pp. 51–69).
  3. Springer. Büyüköztürk, Ş., Çakmak, E. K., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2017). Bilimsel araştırma yöntemleri [Scientific research methods]. Ankara:
  4. Pegem Akademi. Cha, I. S. (1999). Mathematical and pedagogical discussions of the function concept. Research in Mathematical Education, 3(1), 35-56.
  5. Chevallard, Y. (1997). Familière et problématique, la figure du professeur. Recherches en Didactique Des Mathématiques, 17(3), 17–54.
  6. Chevallard, Y. (1998) Analyse des pratiques enseignantes et didactique des mathématiques: L’approche anthropologique. Recherches en Didactique des Mathématiques, 19(2), 221-266.
  7. Chevallard, Y. (2006). Steps towards a new epistemology in mathematics education. In M. Bosch (Ed.), Proceedings of the 4th Conference of the European Society for Research in Mathematics Education (pp. 21–30).
  8. Fundemi IQS. Chevallard, Y. (2007). Readjusting didactics to a changing epistemology. European Educational Research Journal, 6(2), 131-134.
  9. Chevallard, Y. (2019). Introducing the anthropological theory of the didactic: An attempt at a principled approach. Hiroshima journal of mathematics education, 12, 71-114. https://www.jasme.jp/hjme/download/05_Yves%20Chevallard.pdf
  10. Chevallard, Y. (2022). Challenges and advances in teacher education within the ATD. In Y. Chevallard et al. (Eds.), Advances in the anthropological theory of the didactic (pp. 81-89). Springer. https://doi.org/10.1007/978-3-030-76791-4_7
  11. Chevallard, Y., & Bosch, M. (2020). Did