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

Yıl 2019, Cilt: 7 Sayı: 13, 233 - 256, 30.04.2019

Elif Kılıçoğlu Abdullah Kaplan

https://doi.org/10.18009/jcer.547975

Cited By: 2

Öz

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.

Anahtar Kelimeler

Mathematical abstraction, ACE teaching cycle, mathematical equation, mathematics teaching

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

Öz

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.

Anahtar Kelimeler

Mathematical abstraction, ACE teaching cycle, mathematical equation, mathematics teaching

Kaynakça

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