American Journal of Educational Research, 2018, Vol. 6, No. 2, 96-103
Available online at http://pubs.sciepub.com/education/6/2/1
©Science and Education Publishing
DOI:10.12691/education-6-2-1
An Investigation of 8th Grade Students’ Knowledge on
Geometrical Objects in Terms of Van Heile Levels of
Understanding Geometry
Fatih Karapınar
1
, Onur Alp İlhan
2,*
1
Erciyes University, Educational Sciences Institute, Mathematics Education
2
Erciyes University, Faculty of Education, Department of Mathematics and Science Education, Department of Mathematics Education
*Corresponding author: oailhan@erciyes.edu.tr
Abstract In this study, it was aimed to determine 8th grade students’ Van Hiele levels of understanding geometry
and to examine their knowledge on geometric objects in terms of Van Hiele levels of understanding geometry.
Survey model, a quantitative research design was used in the research. The study group consists of 161 students
from three different schools of National Ministry of Education located in the districts of Melikgazi and Kocasinan in
Kayseri province. The Van Hiele Geometry Test and the Geometric objects Achievement Test developed by the
researcher was used to collect the data of the study. Some of the results obtained from the research are as follows:
The Van Hiele levels of understanding geometry of the students who participated in the research were found to be
lower compared to what they are expected to have at the present. There was a high correlation between the scores of
the students on both tests. Significant mean differences were found among the schools in terms of both the Van
Hiele Geometry Test and the Geometric Objects Achievement Test. When the data were analyzed by gender
variable, there were significant differences in favor of girl students for both tests.
Keywords: Van Hiele, geometric objects, geometric thinking, geometry, 8th grades
Cite This Article: Fatih Karapınar, and Onur Alp İlhan, “An Investigation of 8th Grade Students’ Knowledge
on Geometrical Objects in Terms of Van Heile Levels of Understanding Geometry.” American Journal of
Educational Research, vol. 6, no. 2 (2018): 96-103. doi: 10.12691/education-6-2-1.
1. Introduction
Mathematics has always been a guide in the history of
humanity. As a result of development and progress of
mathematics, science has advanced, science has
accelerated technological developments, people's peace
and prosperity levels have increased, their lifestyles have
changed, and life expectencies has changed. People have
overcome the difficulties they encountered in their lives
through mathematics and have been guided their lives by
mathematics.
Many scientists have made different definitions from
the past to the present day about mathematics, which has
the power to change human life, knowledge, societies and
technology. In [1] defined mathematics
1
as is a science
that contributes to the development of talents and
skills, helping people to free and objective thinking,
increasing self-esteem, explaining the causes and
consequences of living problems. For this reason,
mathematics allows people to think freely in their lives. It
enables them to overcome the difficulties they encounter
and their life problems using their abilities. Mathematics
1
This work was supported by Erciyes University Scientific Research
Projects Unit (project code :SYL-2016-6679)
improves people's knowledge and skills and gives them
confidence. Through mathematics, people are developing
their self-confidence, developing objective and critical
thinking skills, systematically and correctly thinking
about problems in life, and establishing cause-effect
relationships [2].
Mathematics is not just a discipline that made from
shapes and symbols, from rules to operations. It is a
network that has a meaningful integrity in it, a certain
order, and a strong relationship. In addition, there is a
strong relationship between mathematics and other
disciplines, with other disciplines and everyday life. In
this context, associative skill is a skill that allows a
mathematical concept to relate to everyday life or
mathematical concepts among themselves [3] (Ministry of
National Education (MNE), 2013).
Mathematics has important subject areas universally.
National Association of Teachers of Mathematics (NCTM)
emphasized that geometry is one of the most important
and fundamental subject areas of mathematics and one of
the conceptual building blocks [4] (NCTM, 2000). When
we plan our daily life, we need geometry that exists in
many stages of our daily life as we need mathematics
when we make calculations about our life, from our home
where we live, up to our mobile phone that we use.
Geometry is a field of objects and shapes that have a
very important place in human life. We often encounter