Dergiler / Journal of Computer and Education Research / 2019 / Cilt: 7 - Sayı: 13

An Examination of Middle School 7th Grade Students’ Mathematical Abstraction Processes

Sayfa
233–256
Yayın Tarihi
2019-04-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

According to the results obtained it can be said that classroom activities based on students’ abstraction process may be necessary for a qualified learning.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, abstraction processes of 7th grade students were examined.
📊
Temel Bulgular & Veri:The application was carried out in the 7th grade of a state secondary school in the province of Erzurum in the 2014-2015 academic year, with a total of 31 students in the experimental group and 32 students in the control group.
💡
Sonuç & Katkı:According to the results obtained it can be said that classroom activities based on students’ abstraction process may be necessary for a qualified learning.
🔬Tür:Literatür & Derleme Çalışması
📍Kapsam:2014-2015 Verileri
⚙️Değişkenler:Mathematical abstraction · ACE teaching cycle · mathematical equation

Özet

In this study, abstraction processes of 7th grade students were examined. In addition, it has been tried to explain how the implementation of this process affects the students' academic success. For this purpose, the experiment and control groups were formed. While the current teaching program was applied to the control group, the experimental group was taught with the ACE teaching cycle which is the application dimension of the theory based on the abstraction philosophy. It can be stated that such a study is shaped according to semi-experimental method. The application was carried out in the 7th grade of a state secondary school in the province of Erzurum in the 2014-2015 academic year, with a total of 31 students in the experimental group and 32 students in the control group. Both quantitative and qualitative data were obtained in the study. The achievement tests developed by the researcher for the quantitative data and the interview forms developed by the researcher for the qualitative data were used as data collection tools. In addition, the application in the experimental group was recorded with the help of a camera for later review and these records were used for support of qualitative data. The involvement of the researcher as a participant in the process provided the opportunity to obtain observation notes, and these observation notes were added to the qualitative dimension of the study. Therefore, in this study, it was tried to provide reliability by data diversity. The analysis of the quantitative data was done by statistical tests and the analysis of the qualitative data was done by descriptive analysis method. At the end of the research, it is seen that students’ abstraction level of the equation subject is better in the group that ACE teaching cycle is applied than the other group. Furthermore, it is seen that teaching in application process keeps the students’ interest and motivation alive. According to the results obtained it can be said that classroom activities based on students’ abstraction process may be necessary for a qualified learning.

Abstract

In this study, abstraction processes of 7th grade students were examined. In addition, it has been tried to explain how the implementation of this process affects the students' academic success. For this purpose, the experiment and control groups were formed. While the current teaching program was applied to the control group, the experimental group was taught with the ACE teaching cycle which is the application dimension of the theory based on the abstraction philosophy. It can be stated that such a study is shaped according to semi-experimental method. The application was carried out in the 7th grade of a state secondary school in the province of Erzurum in the 2014-2015 academic year, with a total of 31 students in the experimental group and 32 students in the control group. Both quantitative and qualitative data were obtained in the study. The achievement tests developed by the researcher for the quantitative data and the interview forms developed by the researcher for the qualitative data were used as data collection tools. In addition, the application in the experimental group was recorded with the help of a camera for later review and these records were used for support of qualitative data. The involvement of the researcher as a participant in the process provided the opportunity to obtain observation notes, and these observation notes were added to the qualitative dimension of the study. Therefore, in this study, it was tried to provide reliability by data diversity. The analysis of the quantitative data was done by statistical tests and the analysis of the qualitative data was done by descriptive analysis method. At the end of the research, it is seen that students’ abstraction level of the equation subject is better in the group that ACE teaching cycle is applied than the other group. Furthermore, it is seen that teaching in application process keeps the students’ interest and motivation alive. According to the results obtained it can be said that classroom activities based on students’ abstraction process may be necessary for a qualified learning.

🔖

Bu Makaleye Atıf Yap

KILIÇOĞLU, E., KAPLAN, A. (2019). An Examination of Middle School 7th Grade Students’ Mathematical Abstraction Processes. Journal of Computer and Education Research, Cilt: 7 - Sayı: 13, 233–256. https://ajindex.com/articles/262800

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. Abels, M., de Jong, J. A., Dekker, T., Meyer, M. R., Shew, J. A., Burrill, G., & Simon, A. N. (2006). Ups and downs. In Wisconsin Center for Education Research & Freudenthal Institute (Eds.), Mathematics in context. Chicago: Encyclopeadia Britannica, Inc. Asiala, M., Cottrill, J., Dubinsky, E., & Schwingendorf, E., K. (1997). The development of students' graphical understanding of the derivative. The Journal of Mathematical Behavior, 16(4), 399-431.
  2. Asiala, M., Dubinsky, E., Mathews, D. M., Morics, S., & Oktac, A. (1997). Development of students' understanding of cosets, normality, and quotient groups. The Journal of Mathematical Behavior, 16(3), 241-309.
  3. Bass, E., J., & Montague, J., E. (1972). Piaget-based sequences of instruction in science. Science Education, 56(4), 503-512.
  4. Bills, L., Dreyfus, T., Mason, J., Tsamir, P., Watson, A. & Zaslavsky, O. (2006). Examplification in mathematics education. In J. Novotna (Ed.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Prague, Czech Republic: PME. Cooley, R. (2002). Writing in calculus and reflective abstraction. Journal of Mathematical Behaviour, 21, 255-282.
  5. Cottrill, J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K., & Vidakovic, D. (1996). Understanding the limit concept: Beginning with a coordinated process scheme. Journal of Mathematical Behavior, 15, 167- 192. Çetin, İ. (2009). Students’ understanding of limit concept: An APOS perspective. Unpublished Doctoral Thesis. Middle East Technical University, Institute of Educational Sciences, Ankara.
  6. Çetin, İ., & Top, E. (2014). Programlama eğitiminde görselleştirme ile ACE döngüsü. [ACE cycle in programming education by using visualization]. Turkish Journal of Computer and Mathematics Education, 5(3), 274-303.
  7. Davydov, V., V. (1990). Types of generalisation in instruction: logical and phsycological problems in the structuring of school curricula. In: J. Kilpactrick (Ed.). Soviet studies in mathematics education, (p. 2). Reston, VA: National Council of Teachers of Mathematics. Dienes, Z., P. (1967). On abstraction and generalization. Harvard Educational Review, 31, 281-301.
  8. Dubinksy, E. (2000). Mathematical literacy and abstraction in the 21st century. School Science and Mathematics, 100(6), 289-97.
  9. Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced Mathematical Thinking, (pp. 95-123).
  10. Dordrecht, The Netherlands: Kluwer. Retrieved Jul