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© Kamla-Raj 2015 Anthropologist, 21(1,2): 202-212 (2015)
A Meta-analysis into the Effectiveness of Doctoral Dissertations
on Constructivist Learning
YavuzErisen1
andRafetGunay2
Curriculum and Instruction, Faculty of Education, Yildiz Technical University,
Istanbul, Turkey
E-mail: 1<erisenyavuz@gmail.com>, 2<gunay.rafet@gmail.com>
KEYWORDS Academic Achievement.Effect Size. Level of Schooling. Random-effects Model. Type of Subject
ABSTRACT This paper aims to combine the results obtained by studies conducted independently of each other on
constructivist learning in Turkey. The question the study seeks to answer is expressed as: “Does constructivist
learning approach affect students’ academic achievement?”. In this context, the literature research was made
between 2001 and 2013, and 27 doctoral dissertations written in Turkish about the effect of constructivist learning
on students’ academic achievement were included in the meta-analysis. In line with the determined criteria, the 27
doctoral dissertations conducted on the effect of constructivist learning in Turkey, it can be said that the applied
constructivist education has an effect on academic achievement in the classification framework of Cohen and it is
located in the wide interval which is the highest level. Following meta-analysis, it was concluded that constructivist
learning approach was effective in terms of academic achievement in the positive direction.
INTRODUCTION
In line with the recent developments in the
world, constructivist philosophy in education
started to be applied in Turkish Education Sys-
tem and behaviorist approaches in education
were replaced by progressivist approaches. Start-
ing from the academic year of 2004-2005, the
learning-teaching environment was shaped by
this, accordingly. The teaching process that
emerged has favored active physical and cogni-
tive participation of the students instead of pas-
sive acquisition of information from their
environment.
The constructivist learning is a process which
establishes a dynamic link between human brain
and its environment; it places the learner in the
center, around which knowledge is constructed
(Doganay and Tok 2007; Kazu and Aslan 2012;
Koc 2007; Oguz 2005; Saban 2004; Yurdakul
2005). In this context, The Ministry of National
Education defends that the current training pro-
grams are based more on constructivist ap-
proach than on behaviorist approach (Boydak
2009;Celik2006;Demirel2005;MEB2005;Sun-
bul 2010; Turan 2006). For instance, an inspec-
tion of course books showed that there is at least
one type of activity related to each learning ob-
jective (Gunay 2013). Further, the classes given
at Faculties of Education incorporate contents
which are prepared according to the new ap-
proach. Many post-graduate theses have fo-
cused and continue to focus on the effective-
ness of constructivist learning. The studies that
looked at constructivist learning often include
notions such as the effectiveness of construc-
tivist learning, its effect on student achievement,
the success of the activities in practice, and
teacher views (Demirdis et al. 2010; EARGED
2008;Isiketal.2015;KirikkayaandBozkurt2012;
Ozgen and Alkan 2011; Ozsevgec 2006; Yalcin
and Bayrakceken 2010).Accordingly, construc-
tive approach is considered very important for
the effective conduct of educational programs.
In the literature related to the effectiveness
of constructive approach, there are research find-
ings which indicate that constructive learning
increase academic achievement in our country.
(Aggul-Yalcin 2010;Ari 2008; Bulut 2009; Inan
2009; Koc 2002; Mant 2007; Mercan 2012; Pek-
tas 2008; Savas 2006; Uredi 2015; Uredi andAk-
basli, 2015;Yurdakul 2004). However, other than
the independent variable, in experimental stud-
ies there may be some variables which influence
the dependent variable. For instance, while in-
vestigating the effect of constructive learning
on student achievement, the student’s extra-cur-
ricular activities or the teacher’s actions may have
an effect on the outcome of learning. Therefore,
the findings gleaned from experimental and mixed
studies should be meticulously analyzed and
interpreted.
The ever-increasing number of studies and
the diversity of information make it increasingly
POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 203
difficult to inspect the sources one by one, and
reach the information which is sought for. There-
fore, a research approach is required for more
accurate interpretation of all findings and for
guiding new research. With such abilities, meta-
analysis is the right method to serve this pur-
pose. Meta-analysis is a quantitative method that
is used to combine research results. Scientists
and academicians state that only one study or
experiment does not provide the correct answer
to the research question (Hedges and Pigott
2004).And due to insufficient amount of money,
time, staff and expert researchers, it is not al-
ways possible, in many scientific disciplines, to
conduct studies with larger samples represent-
ing the population. As a result, the studies are
mostly conducted with small samples at differ-
ent times (Wolf 2006). Upon inspection of the
literature, the researchers see that there are sim-
ilar studies with different samples; and after com-
piling these studies taking as basis certain crite-
ria, the researchers see that they can give incon-
sistent results (Smith et al. 2006). However, with
meta-analysis, it is possible to analyze summary
statistics of quantities that belong to different
studies, such as standardized effect sizes, corre-
lation coefficients and p values. (Hunter and
Schmidt 2004). The difference of meta-analysis
from other literature research methods is that it
collects and combines study findings and uses
statistical methods in their analysis. (Glass et al.
2011). Meta-analysis studies employ all the ef-
fects in the statistical analysis in the calculation
of the general effect, and help us discern the
difference between real distribution and unreal
distribution (Borenstein et al. 2011).
This paper aims to combine the results of
studies conducted independently of each other
on the effectiveness of constructivist learning.
A more detailed and comprehensive approach is
needed in the literature in order to classify and
construe the contents of studies (Demirel 2005).
It was established that meta-analysis could pro-
vide explanations for certain unexplainable situ-
ations due to the non-generalizability (external
validity) of the studies on their own to the whole
population (Hedges and Pigott 2004). In this con-
text, this paper aimed to provide clarification to
the doctoral dissertations made on constructiv-
ist learning in Turkey. What is more, the paper
aimed to make a contribution to the literature by
inspecting studies on constructivist learning at
doctoral level in Turkey and show the “big pic-
ture” to the researchers.
Although there are numerous meta-analysis
studies abroad, there are but few meta-analysis
studies conducted in Turkey in the field of edu-
cation (Camnalbur and Erdogan 2008; Cogaltay
et al. 2014; Gozuyesil and Dikici 2014; Okursoy
2009; Ozcan and Bakioglu 2010; Sahin 2005;
Topcu 2009). Tokgoz andYildirim’s (2011) study
titled “Instructional Planning Research Studies:
A Meta-Analysis Study” showed that the litera-
ture consisted mostly of quantitative publica-
tions and their results were analyzed descrip-
tively.UstunandEryilmaz(2014)statedthatmeta-
analysis both provided guidance to policy mak-
ers in education by giving scientific evidence
and guided researchers in their reports by calcu-
lating inconsistent results in the literature with
statistical methods. This paper supports the lim-
ited number of meta-analysis studies in the liter-
ature. Accordingly, the available meta-analysis
research was extended to include the experimen-
tal studies conducted on the effectiveness of
constructivist learning. Moving from this stand-
point, the main objective of the paper is to attain
the effect size of academic achievement in class-
es which were held with the constructivist learn-
ing approach. Twenty-seven studies were con-
sidered in order to comment on the effect of con-
structivist learning and the following research
questions were constructed in the scope of the
paper:
i. What is the effect of constructive learn-
ing on students’ academic achievement?
ii. Is there a significant difference between
the effect sizes of constructivist learn-
ing in terms ofstudents’ level of school-
ing (primary, secondary, high school,
university)?
iii. Is there a significant difference between
the effect sizes of constructivist learning
in terms of the type of subjects (Mathe-
matic, Science and Technology, Child
Development, social sciences, Turkish,
Art) which the research covered?
iv. Is there a significant difference between
the effect sizes of constructivist learning
in terms of the cities where the research
conducted?
METHODOLOGY
This paper employed the meta-analysis meth-
od in the analysis of data. Meta-analysis is the
process of synthesis and interpretation of find-
ings from individual studies (Buyukozturk et al.
2009; Glass et al. 2011). The method is realized in
204 YAVUZ ERISEN AND RAFET GUNAY
three stages in general. These being: (i) Deter-
mining and sorting the related research, (ii) Cod-
ing the research data and calculation of their ef-
fect sizes, (iii) Statistical analysis of effect sizes
and interpretation of data (Hoffler and Leutner
2007).
Collection of Data and Literature Research
In order to determine the effect of construc-
tivist learning on academic achievement, in the
scope of this research, the studies on construc-
tivist learning conducted between 2001 and 2013
were inspected. The studies marked with an as-
terisk (*
) in the references section of this research
were included in the meta-analysis. The first
study was accessed for the purpose on 28 Feb-
ruary 2014 and the last was accessed on 30April
2014. The following criteria were employed in the
decision of what studies to include in the
research:
1. In order to determine the level of effec-
tiveness of doctoral dissertations on con-
structivist learning published between
2001 and 2013 in Turkey, only available
studies were analyzed. The reason why
this dates are included is that there are
doctoral dissertations about constructiv-
ist learning only between 2001 and 2013 in
Turkey.
2. Related studies include only the doctoral
dissertations accessible from National The-
sis Center, Council of Higher Education.
3. Studies with treatment and control group
were included in the current research. Con-
structivist learning was applied in the treat-
ment group, while the control group in-
corporated studies which constructive
learning was not applied.
4. In studies where there were more than one
test group, the group in which construc-
tivist learning was applied was accepted
as the treatment group.
5. In order to be able to calculate effect sizes,
studies which lack arithmetic means, stan-
dard deviations, and participant numbers
were discarded.
6. In studies where more than one test was
applied, the data from a random test were
analyzed.
7. To collect data, CoHE National Thesis
Center was scanned for doctoral disser-
tations with the key words, “constructiv-
ism”, “constructivist approach”, “con-
structivist education”, and “constructiv-
ist learning”.
8. Initially, 89 studies were accessed. How-
ever, upon controls it was seen that some
of these studies were qualitative and some
lacked a control group, while some did not
have the statistical data required for effect
sizes.
9. Consequently, 27 experimental and semi-
experimental studies that conformed to the
criteria formed the samples in this research.
CodingoftheData
At first, an electronic form was created in
which all studies were coded. The coding was in
two phases. In the first phase studies were giv-
en an identity. To classify the studies on Mi-
crosoft Excel, the names of the authors, the year
of the paper, level of schooling, type of subject,
and the city where the study is conducted were
determined. Every title was further divided into
sub-titles and number coded. For example, the
title “level of schooling” was divided into cate-
gories and these were coded with numbers as
the following: “1= Pre-school, 2=Primary School,
3= Secondary School, 4= High School, 5= Uni-
versity”. In the second phase, there are arith-
metic means, standard deviations, and sample
size values which were obtained from treated and
control groups.
Variable
The effect sizes used in the studies were in-
cluded in the meta-analysis. These were related
to the effectiveness of constructivist learning
and were defined as dependent variable. Effect
size is defined as frequency of occurrence of a
certain effect in a study or of a phenomenon in
the society (Tarim 2003). Independent variables
(study characteristics) used in the data analysis
were the students’ level of schooling, the year
the studies were conducted, types of subjects,
the cities where the study was conducted and
number of samples.
DataAnalysis
The effect sizes of the studies included in
the meta-analysis were calculated. Model type
was determined by looking at their effect size
POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 205
and test of heterogeneity was applied. In the
analysis of data, Procedural Effect meta-analy-
sis method was applied. This method was used
in the case of inspecting the difference between
the groups and when the arithmetic means of
dependent variables were obtained with differ-
ent instruments. In this method, the difference
between treatment and control groups was cal-
culated using the formula, d= (Xe-Xc)/SD (Hunt-
er and Schmidt 2004).
In the Procedural Effect meta-analysis meth-
od, standardized effect size values indicated by
“d” and “g” were used. In the current study,
“Hedges’d” was used in order to calculate the
effect size. In the meta-analysis process, fixed-
effects model was used in case of a homoge-
neous distribution of effect sizes, while random
effect model was used in the case of a heteroge-
neous distribution (Ellis 2010). To conduct the
analysis in this paper, the researchers employed
SPSS 20.0, Comprehensive Meta Analysis and
MetaWin Statistics programs.
FINDINGS
The effect sizes of 27 studies in this research
were calculated using their sample sizes, stan-
dard deviations and arithmetical means. Data
from a total of 2065 students were gathered in a
total of 27 studies, 1044 of which were treated
group and 1021 of which belonged to the control
group. Table 1 shows the frequency and per-
centage information according to the variables,
namely the year of the study, level of schooling,
type of subject, and the city where the study
was conducted.
A majority of the studies included in the re-
search were conducted between 2007 and 2008
(25.93%). The distribution according to the cit-
ies in which the studies were conducted shows
that there were 10 studies (37.04%) fromAnkara
and 4 studies (14.81%) from Izmir. Upon inspec-
tion of the levels of schooling used in the stud-
ies, the researchers see that the majority of dis-
sertations were at the level of University (40.74%).
These were followed by six dissertations focus-
ing on Secondary school (22.22%) and High
school (22.22%). In terms of the types of sub-
jects the studies looked at, the researchers see
that the majority is Science and Technology
(18.52%) with 5 dissertations focusing on it.
On the other hand, the standard error and
variance values of the studies were combined in
a shared table. Figure 1 shows the respective
confidence intervals, effect sizes of each of the
Table 1: Frequencies and percentages of the studies according to variables
Variable Frequency Percentage Variable Frequency Percentage
(f) (%) (f) (%)
Year of Study Level of Schooling
2001-2002 1 3.70 Pre-school 2 7.41
2002-2003 1 3.70 Primary school 2 7.41
2003-2004 1 3.70 Secondary school 6 22.22
2004-2005 2 7.41 High school 6 22.22
2005-2006 2 7.41 University 11 40.74
2006-2007 3 11.11 Type of Subjects
2007-2008 7 25.93 Computer 1 3.70
2008-2009 2 7.41 Biology 3 11.11
2009-2010 3 11.11 Geography 1 3.70
2010-2011 2 7.41 Child Development 2 7.41
2011-2012 3 11.11 Religion and Moral Studies 1 3.70
City the Study was Science and Technology 5 18.52
Conducted Physics 1 3.70
Ankara 10 37.04 English 1 3.70
Bursa 1 3.70 Chemistry 1 3.70
Diyarbakir 1 3.70 Mathematics 2 7.41
Erzurum 3 11.11 Practicum Teaching 1 3.70
Istanbul 3 11.11 Art 2 7.41
Izmir 4 14.81 Social Sciences 2 7.41
Kastamonu 2 7.41 Agriculture (Elective) 1 3.70
Konya 1 3.70 Turkish 3 11.11
Kutahya 1 3.70
Trabzon 1 3.70
206 YAVUZ ERISEN AND RAFET GUNAY
studies included in the meta-analysis as well as
their weight on the total effect size.
In Figure 1, the researchers see the meta-anal-
ysis diagram (forest plot) that displays the effect
sizes of doctoral dissertations which have not
been combined yet. Effect sizes are depicted with
squares; the longer the horizontal lines passing
through them the wider is their confidence inter-
vals. The arrows show confidence intervals which
do not fit in the diagram. According to Figure 1,
the widest confidence interval belongs to that of
Pektas (2008). What’s more, all 27 doctoral dis-
sertations used in the research are seen to have
positive effect sizes. Positive effect sizes indicate
that the effect size favours the treatment group.
Table 2 shows the homogeneous distribution val-
ue, average effect size, and confidence intervals
of studies included in meta-analysis.
The effect of constructivist learning on aca-
demic achievement could be said to be in the
positive direction with the effect size of 1.101 in
fixed-effects model. The positive values of ef-
fect sizes show that the effect sizes of perfor-
mances of this size favour treated group. If the
result were negative, the effect size would favour
control group (Wolf 2006: 26). Following the ho-
mogeneity test Q statistical value was found to
be 361.830. From the Ch-square table 26 degrees
of freedom were found to be 92.814 with a signif-
icance level of 95 percent. That is, as Q statisti-
cal value (361.830) exceeded the critical value of
Chi-square distribution (χ2
(0.95)
=92.814), the dis-
tribution of doctoral dissertations show hetero-
geneity according to fixed-effects model. If stud-
ies show heterogeneity according to Q statisti-
cal value, the studies are analyzed according to
random-effects model with the aim to save the
samples from heterogeneity.
On the other hand, in the current research, it
was assumed that under the random-effects
model, the real effects of the studies were the
samples in real distribution. Therefore the data
from the 27 studies in the meta-analysis were
calculated according to random-effects model
Study Name Statistics for each study
Hedges’s Standard Variance Lower Upper Z-value P-value Hedges’s g and 95% CI
g error limit limit
Acar (2008) 0.480 0.298 0.089 -0.104 1.064 1.612 0.107
Altas (2012) 1.955 0.258 0.066 1.450 2.460 7.587 0.000
Ari (2008) 0.721 0.187 0.035 0.354 1.089 3.852 0.000
Aydin (2011) 1.374 0.296 0.088 0.793 1.955 4.636 0.000
Bakir (2010) 1.210 0.201 0.040 0.816 1.603 6.019 0.000
Bay (2008) 2.889 0.348 0.121 2.207 3.571 8.308 0.000
Bulut (2009) 0.726 0.310 0.096 0.119 1.332 2.344 0.019
Buyuktaskopu(2010) 2.935 0.321 0.103 2.306 3.564 9.150 0.000
Erdem (2012) 3.185 0.415 0.172 2.372 3.998 7.676 0.000
Hancer (2005) 0.893 0.272 0.074 0.359 1.426 3.282 0.001
Hasiloglu (2009) 1.009 0.308 0.095 0.405 1.612 3.274 0.001
Inan (2009) 1.600 0.227 0.052 1.154 2.045 7.037 0.000
Kaya (2010) 2.608 0.323 0.104 1.974 3.241 8.069 0.000
Kildan (2008) 0.592 0.153 0.024 0.291 0.892 3.858 0.500
Kizilabdullah (2008) 0.182 0.270 0.073 -0.348 0.712 0.674 0.168
Koc (2002) 0.205 0.149 0.022 -0.087 0.497 1.878 0.000
Kucukavsar (2010) 1.222 0.262 0.069 0.709 1.736 4.670 0.001
Mant (2007) 1.825 0.529 0.280 0.787 2.852 3.447 0.000
Mercan (2012) 1.800 0.278 0.077 1.255 2.344 6.486 0.000
Ozden (2012) 5.046 0.417 0.174 4.230 5.863 12.110 0.616
Pektas (2008) 0.211 0.421 0.177 -0.613 1.036 0.502 0.000
Savas (2006) 1.636 0.273 0.075 1.101 2.171 5.994 0.263
Semenderoglu(2012) 0.364 0.325 0.105 -0.273 1.000 1.120 0.661
Turgut (2005) 0.103 0.235 0.055 -0.358 0.564 0.439 0.000
Yalcin (2010) 1.048 0.195 0.038 0.666 1.429 5.381 0.002
Yurdakul (2004) 0.773 0.249 0.062 0.286 1.261 3.108 0.000
Zor (2008) 2.240 0.303 0.092 1.647 2.834 7.397 0.000
Fixed 1.116 0.049 0.002 1.020 1.212 22.776 0.000
Fig. 1. Meta-analysis diagram showing the effect direction of the studies (Forest Plot)
POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 207
and gave the following results; standard error
was calculated to be 0.189, the lower limit of 95
percent confidence interval was 1.022, the upper
limit was 1.761 and the effect size value was ES=
1.391. Upon z-test done in order to calculate
statistical significance, z was found to be 7.377.
Accordingly with p= 0.000, it can be said that the
analysis was statistically significant. The effect
size is in the wide interval according to Cohen’s
classification of effect size values, in other words,
it can be said that constructive learning has a
positive effect on academic achievement.
Effectiveness of Constructivist Learning
According toType of Subject
In order to determine whether the effect size
of constructivist learning differs according to the
subject type, 7 groups were determined includ-
ing Mathematics, Biology, Child Development,
Science and Technology, Social Sciences, Turk-
ish, and Art. As there were not enough studies
to demonstrate the effect size of other subjects,
they were not given in Table 3. The analysis re-
sults of the 7 subjects given were shown in
Table 3.
As per Table 3, the highest effect size ac-
cording to the school type in which the studies
were conducted belonged to Turkish with 2.338;
and the lowest effect type belonged to Child
Development with 0.398. Upon homogeneity
test, Q statistical value was calculated as 4.236.
From Chi-squareTable, 6 degrees of freedom were
found to be 8.581 at 95 percent significance. That
means, as Q statistical value (4.236) was found
to be lower than Chi-square critical distribution
(χ2
(0.95)
=8.581), the Subject Type distribution of
doctoral dissertations showed homogeneity.
That is, the distribution can be said to have a
homogeneous structure. Therefore, it can be said
that there is not a significant difference (QB
=
4.236, p=0.498) in terms of the effect sizes be-
tween groups caused by the type of subject.
Effectiveness of Constructivist Learning
According to Level of Schooling
In order to determine the effect of the level of
schooling of the students acting as samples in
doctoral dissertations on the combined effect
size, the studies were divided into five different
groups; namely, pre-school, primary, secondary,
high school, and university. The analysis re-
sults according to 8these levels of schooling were
given in Table 4.
As can be seen from the results of analysis
given at Table 4, the highest effect size belongs
to the Primary school group with 2.412, while the
Table 2: Homogeneity values and effect sizes of studies included in the meta-analysis according to
their effect models
Model type N Z Average Total 95% confidence interval for
effect size heterogeneity effect size
(ES) value (Q)
Lower Limit Upper Limit
Fixed-effects 27 22.244 1.101 361.830 1.004 1.198
Random-effects 27 7.377 1.391 361.830 1.022 1.761
Table 3: Homogeneity values and effects sizes according to school type the studies were conducted
Model type Effect size N Effect 95% confidence interval for
between groups (QB
) size effect size
Lower limit Upper limit
Type of Subject 4.236
Mathematics 2 1.202 0.349 2.056
Biology 3 0.671 -0.015 1.358
Child development 2 0.398 0.018 0.779
Science and Technology 5 1.667 0.641 2.692
Social Sciences 2 1.211 0.356 2.065
Turkish 3 2.338 1.378 3.544
Art 2 2.182 1.657 2.708
208 YAVUZ ERISEN AND RAFET GUNAY
lowest belongs to the Secondary school group
with 0.913. However, homogeneity test between
groups gave the value QB
= 2.489. From the Chi-
squareTable, it was seen that at 95 percent sig-
nificance level, 4 degrees of freedom were 6.052.
That means, the distribution of level of school-
ing in doctoral dissertations is homogeneous
according to the fixed-effects model as Q statis-
tical value (2.489) was found to be lower than the
critical value (χ2
(0.95)
=6.052) of Chi-square distri-
bution. Thus it can be said that the distribution
has a homogeneous structure. Accordingly, the
researchers can say that there is not a signifi-
cant difference in terms of the effect sizes formed
between groups due to levels of schooling.
The Effectiveness of Constructivist Learning
According to the Cities the Studies Were
Conducted
According to predetermined criteria, studies
from five cities (cities in which at least 2 studies
were conducted) were included in the meta-anal-
ysis. Thus, meta-analysis results for 5 groups
representingIstanbul,Ankara,Izmir,Erzurum,and
Kastamonu were shown in Table 5.
As can be seen from Table 5, the highest
effect size (2.181) was in Erzurum, while the low-
est (0.553) was in Kastamonu. The homogeneity
test between the cities gave the value QB
= 3.023.
From the X2
table, 4 degrees of freedom were
found to be 5.589 at 95 percent significance lev-
el. That means, the distribution of doctoral dis-
sertations in terms of the cities is homogeneous
according to the fixed-effects model as Q statis-
tical value (3.023) is lower than the critical value
(χ2
(0.95)
=5.589) of the Chi-square table. Thus it
can be said that the distribution has a homoge-
neous structure. Accordingly, the researchers
can say that there is not a significant difference
in terms of effect sizes (QB
= 3.023. p=0.687) be-
tween groups formed according to cities. In oth-
er words, the effectiveness of constructivist
learning does not change according to cities.
DISCUSSION
According to the findings obtained from the
paper, the effect size was found to be ES=1.391
in favour of constructivist learning. In line with
the determined criteria, the 27 doctoral disserta-
tions conducted on the effect of constructivist
learning in Turkey, it can be said that the applied
constructivist education has an effect on aca-
demic achievement in the classification frame-
work of Cohen (1992) and it is located in the wide
Table 4: Homogeneity values and effect sizes of studies according to level of schooling
Model type Effect size N Effect 95% confidence interval for
between groups (QB
) size effect size
Lower limit Upper limit
Level of Schooling 2.489
Pre-school 2 1.762 -0.560 4.083
Primary school 2 2.412 0.865 3.958
Secondary school 6 0.913 0.575 1.251
High school 6 1.122 0.721 1.523
University 11 1.685 0.903 2.468
Table 5: Homogeneity values and effect sizes as per cities where the studies were conducted
Model type Effect size N Effect 95% confidence interval for
between groups (QB
) size effect size
Lower limit Upper limit
City of study 3.023
Ankara 10 1.240 0.718 1.761
Istanbul 3 1.938 -0.266 4.141
Izmir 4 0.991 0.358 1.623
Erzurum 3 2.181 0.900 3.462
Kastamonu 2 0.553 0.268 0.838
POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 209
interval(1.10<Cohen’sd<1.45)whichisthehigh-
est level. These results which are based on the
doctoral dissertations made on constructivist
learning in Turkey are consistent with many stud-
ies in the literature (Acar 2008; Bulut 2009; Hasi-
loglu 2009; Pektas 2008; Yalcin 2010; Yurdakul
2004). In the past, Schmidt et al. (2009) inspected
via meta-analysis many studies made on this
subject and found that constructivist learning
was more effective in terms of learning than in
cases where it was not used. On the other hand,
the established heterogeneity of the data follow-
ing homogeneity test shows that it cannot be
generalized to the whole population. Consequent-
ly, sampling error, or size, or the existence of vari-
ables other than the researched variables could
be the reasons that increase heterogeneity.
In the present meta-analysis research, it was
also inspected whether effect sizes differed ac-
cording to the types of subjects, levels of school-
ing, and the cities the studies were conducted
in. When the data was analyzed in terms of the 7
different types of subject, namely, Mathematics,
Biology, Child Development, Science and Tech-
nology, Social Sciences, Turkish andArt, it was
seen that all subjects had positive effect size
values. It was seen that the highest effect size
belonged to Turkish, and the lowest effect size
belonged to Chiled Development classes. It can
be said that there is not a significant difference
between effect sizes of groups (QB
= 4.236,
p=0.498) formed according to the subject type of
the studies included in the meta-analysis. As a
precise judgment cannot be reached since there
were few studies that met the criteria on Mathe-
matics, Child Development, Social Sciences, and
Art, it is more plausible to say that these only
gave information about the current situation. The
data obtained related to the type of subjects give
similar results with the studies by Batdi (2015),
Gozuyesil and Dikici (2014) and Cogaltay et al.
(2014). Similarly, no significance was observed in
the meta-analysis study by Kablan et al. (2013)
on the use of materials. On the other hand, there
is no similarity with the findings from meta-anal-
ysis by Camnalbur and Erdogan (2008).
Upon meta-analysis on the levels of school-
ing of the samples; the results showed that the
highest effect size belonged to primary school
(2.414) level, and the lowest effect size was at
secondary school (0.913) level. It can be said
that there is not a significant difference (QB
=
2.489, p=0.324) in terms of effect sizes between
the groups formed by the levels of schooling in
the studies included in the meta-analysis. Con-
sequently, it can be said that there is no differ-
ence between the size effects of different levels
of schooling and all inspected levels of school-
ing has high levels of contribution to the aca-
demic achievement. What is more, the effect siz-
es in terms of the levels of schooling are in ad-
verse proportion with the number of studies. It
was inquired if other meta-analyses conducted
in Turkey showed significant differences in
terms of levels of schooling.Accordingly, it was
seen that effect sizes did not differ in terms of
levels of schooling in meta-analyses by Okur-
soy (2009) on the studies on concept maps teach-
ing strategies, by Sahin (2005) on internet-based
education, and by Camnalbur and Erdogan (2008)
on computer-assisted education. The findings
in the present study are similar to the findings of
other research inspected.
Following analysis according to the cities
wherein the studies were conducted, the results
showed that in terms of the effect sizes in cities
where at least two studies were conducted, the
highest effect size was in Erzurum with 2.181,
and the lowest was in Kastamonu with 0.553.
The researchers can say that there was no sig-
nificant difference between the effect sizes of
groups (QB
= 3.023, p=0.687) formed according
to the cities in the studies included in the meta-
analysis. The reason why the effectiveness of
constructivist learning is researched according
to the cities in which studies were conducted is
that meta-analysis is conducted with both sig-
nificant and non-significant study samples, and
it is sometimes witnessed that researchers con-
strue the meaning of the effect seen only in one
population and do not take other populations
into consideration. Further, in determining the
size of the real effect, accessing the whole of the
observed distribution provides a diversity of
samples and makes the result more generalizable
(Borenstein et al. 2011). It must be noted that the
cities where the studies were conducted belong
to different regions in Turkey. This paper also
made it possible to evaluate different cultures,
values, and traditions together. Therefore, in the
present study the effect sizes were studied ac-
cording to the cities.
CONCLUSION
Based on the data obtained from meta-analy-
sis, it was seen that constructivist learning ap-
proach has a considerably large effect on
achievement. With random-effects model, not
one effect was estimated by taking the mean of
210 YAVUZ ERISEN AND RAFET GUNAY
effect distribution.Accordingly, it is recommend-
able to apply constructivist learning in educa-
tional settings by developing it further, as it at-
taches importance to learn how to learn, as it is
based on progressivist education philosophy,
and as it favours students’ individual differenc-
es and progress; defends problem-solving, crit-
ical thinking, and entrepreneurship; treats the
school as life itself and puts effective learning
and guidance counselors on the foreground. It
is expected that the present study will act as a
guide to the researchers who study constructiv-
ist learning. In addition, it is promising that this
learning approach is put into practice, incorpo-
rated in the system and gave its results in insti-
tutions that belong to The Ministry of National
Education in Turkey. Consequently, it was con-
cluded that constructivist learning approach was
effective in terms of academic achievement in
the positive direction, and that there was no dif-
ference in terms of the type of subject, levels of
schooling and the cities the studies were con-
ducted in.
RECOMMENDATIONS
In the light of the information above, the prac-
ticers are provided with some suggestions. The
present paper of meta-analysis inspected the ef-
fect of constructivist learning only on students’
academic achievement. Other researches who
wish to conduct meta-analysis on this subject
could look at the effect of constructivist learn-
ing on factors such as attitudes and motivation.
They could even realize more comprehensive
meta-analysis research. That is, besides doctor-
al dissertations, they could include master’s the-
ses, national and international articles and pa-
pers and compare meta-analysis results. Addi-
tionally, effect sizes could be calculated and com-
pared between universities where these theses
were prepared. Consequently, a more compre-
hensive result could be attained.
The relative scarcity of meta-analysis as a
method employed in studies in the field of edu-
cation in Turkey shows that the method is newly
developing. Therefore, the use of other methods
and models of meta-analysis in the prospective
studies in the field will improve its usability. On
the other hand, meta-analyses are readily being
used in many other research disciplines. It could
be used in pharmaceutical industry, criminology,
psychology, and educational sciences for the
diversity of causes; and it could not only be used
in combining findings but also in supporting the
use of these findings. It is the aim of meta-analy-
sis to compare a study, after it is conducted, with
others under normal conditions.
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A Meta-analysis into the Effectiveness of Doctoral Dissertations on Constructivist Learning.pdf

  • 1. © Kamla-Raj 2015 Anthropologist, 21(1,2): 202-212 (2015) A Meta-analysis into the Effectiveness of Doctoral Dissertations on Constructivist Learning YavuzErisen1 andRafetGunay2 Curriculum and Instruction, Faculty of Education, Yildiz Technical University, Istanbul, Turkey E-mail: 1<erisenyavuz@gmail.com>, 2<gunay.rafet@gmail.com> KEYWORDS Academic Achievement.Effect Size. Level of Schooling. Random-effects Model. Type of Subject ABSTRACT This paper aims to combine the results obtained by studies conducted independently of each other on constructivist learning in Turkey. The question the study seeks to answer is expressed as: “Does constructivist learning approach affect students’ academic achievement?”. In this context, the literature research was made between 2001 and 2013, and 27 doctoral dissertations written in Turkish about the effect of constructivist learning on students’ academic achievement were included in the meta-analysis. In line with the determined criteria, the 27 doctoral dissertations conducted on the effect of constructivist learning in Turkey, it can be said that the applied constructivist education has an effect on academic achievement in the classification framework of Cohen and it is located in the wide interval which is the highest level. Following meta-analysis, it was concluded that constructivist learning approach was effective in terms of academic achievement in the positive direction. INTRODUCTION In line with the recent developments in the world, constructivist philosophy in education started to be applied in Turkish Education Sys- tem and behaviorist approaches in education were replaced by progressivist approaches. Start- ing from the academic year of 2004-2005, the learning-teaching environment was shaped by this, accordingly. The teaching process that emerged has favored active physical and cogni- tive participation of the students instead of pas- sive acquisition of information from their environment. The constructivist learning is a process which establishes a dynamic link between human brain and its environment; it places the learner in the center, around which knowledge is constructed (Doganay and Tok 2007; Kazu and Aslan 2012; Koc 2007; Oguz 2005; Saban 2004; Yurdakul 2005). In this context, The Ministry of National Education defends that the current training pro- grams are based more on constructivist ap- proach than on behaviorist approach (Boydak 2009;Celik2006;Demirel2005;MEB2005;Sun- bul 2010; Turan 2006). For instance, an inspec- tion of course books showed that there is at least one type of activity related to each learning ob- jective (Gunay 2013). Further, the classes given at Faculties of Education incorporate contents which are prepared according to the new ap- proach. Many post-graduate theses have fo- cused and continue to focus on the effective- ness of constructivist learning. The studies that looked at constructivist learning often include notions such as the effectiveness of construc- tivist learning, its effect on student achievement, the success of the activities in practice, and teacher views (Demirdis et al. 2010; EARGED 2008;Isiketal.2015;KirikkayaandBozkurt2012; Ozgen and Alkan 2011; Ozsevgec 2006; Yalcin and Bayrakceken 2010).Accordingly, construc- tive approach is considered very important for the effective conduct of educational programs. In the literature related to the effectiveness of constructive approach, there are research find- ings which indicate that constructive learning increase academic achievement in our country. (Aggul-Yalcin 2010;Ari 2008; Bulut 2009; Inan 2009; Koc 2002; Mant 2007; Mercan 2012; Pek- tas 2008; Savas 2006; Uredi 2015; Uredi andAk- basli, 2015;Yurdakul 2004). However, other than the independent variable, in experimental stud- ies there may be some variables which influence the dependent variable. For instance, while in- vestigating the effect of constructive learning on student achievement, the student’s extra-cur- ricular activities or the teacher’s actions may have an effect on the outcome of learning. Therefore, the findings gleaned from experimental and mixed studies should be meticulously analyzed and interpreted. The ever-increasing number of studies and the diversity of information make it increasingly
  • 2. POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 203 difficult to inspect the sources one by one, and reach the information which is sought for. There- fore, a research approach is required for more accurate interpretation of all findings and for guiding new research. With such abilities, meta- analysis is the right method to serve this pur- pose. Meta-analysis is a quantitative method that is used to combine research results. Scientists and academicians state that only one study or experiment does not provide the correct answer to the research question (Hedges and Pigott 2004).And due to insufficient amount of money, time, staff and expert researchers, it is not al- ways possible, in many scientific disciplines, to conduct studies with larger samples represent- ing the population. As a result, the studies are mostly conducted with small samples at differ- ent times (Wolf 2006). Upon inspection of the literature, the researchers see that there are sim- ilar studies with different samples; and after com- piling these studies taking as basis certain crite- ria, the researchers see that they can give incon- sistent results (Smith et al. 2006). However, with meta-analysis, it is possible to analyze summary statistics of quantities that belong to different studies, such as standardized effect sizes, corre- lation coefficients and p values. (Hunter and Schmidt 2004). The difference of meta-analysis from other literature research methods is that it collects and combines study findings and uses statistical methods in their analysis. (Glass et al. 2011). Meta-analysis studies employ all the ef- fects in the statistical analysis in the calculation of the general effect, and help us discern the difference between real distribution and unreal distribution (Borenstein et al. 2011). This paper aims to combine the results of studies conducted independently of each other on the effectiveness of constructivist learning. A more detailed and comprehensive approach is needed in the literature in order to classify and construe the contents of studies (Demirel 2005). It was established that meta-analysis could pro- vide explanations for certain unexplainable situ- ations due to the non-generalizability (external validity) of the studies on their own to the whole population (Hedges and Pigott 2004). In this con- text, this paper aimed to provide clarification to the doctoral dissertations made on constructiv- ist learning in Turkey. What is more, the paper aimed to make a contribution to the literature by inspecting studies on constructivist learning at doctoral level in Turkey and show the “big pic- ture” to the researchers. Although there are numerous meta-analysis studies abroad, there are but few meta-analysis studies conducted in Turkey in the field of edu- cation (Camnalbur and Erdogan 2008; Cogaltay et al. 2014; Gozuyesil and Dikici 2014; Okursoy 2009; Ozcan and Bakioglu 2010; Sahin 2005; Topcu 2009). Tokgoz andYildirim’s (2011) study titled “Instructional Planning Research Studies: A Meta-Analysis Study” showed that the litera- ture consisted mostly of quantitative publica- tions and their results were analyzed descrip- tively.UstunandEryilmaz(2014)statedthatmeta- analysis both provided guidance to policy mak- ers in education by giving scientific evidence and guided researchers in their reports by calcu- lating inconsistent results in the literature with statistical methods. This paper supports the lim- ited number of meta-analysis studies in the liter- ature. Accordingly, the available meta-analysis research was extended to include the experimen- tal studies conducted on the effectiveness of constructivist learning. Moving from this stand- point, the main objective of the paper is to attain the effect size of academic achievement in class- es which were held with the constructivist learn- ing approach. Twenty-seven studies were con- sidered in order to comment on the effect of con- structivist learning and the following research questions were constructed in the scope of the paper: i. What is the effect of constructive learn- ing on students’ academic achievement? ii. Is there a significant difference between the effect sizes of constructivist learn- ing in terms ofstudents’ level of school- ing (primary, secondary, high school, university)? iii. Is there a significant difference between the effect sizes of constructivist learning in terms of the type of subjects (Mathe- matic, Science and Technology, Child Development, social sciences, Turkish, Art) which the research covered? iv. Is there a significant difference between the effect sizes of constructivist learning in terms of the cities where the research conducted? METHODOLOGY This paper employed the meta-analysis meth- od in the analysis of data. Meta-analysis is the process of synthesis and interpretation of find- ings from individual studies (Buyukozturk et al. 2009; Glass et al. 2011). The method is realized in
  • 3. 204 YAVUZ ERISEN AND RAFET GUNAY three stages in general. These being: (i) Deter- mining and sorting the related research, (ii) Cod- ing the research data and calculation of their ef- fect sizes, (iii) Statistical analysis of effect sizes and interpretation of data (Hoffler and Leutner 2007). Collection of Data and Literature Research In order to determine the effect of construc- tivist learning on academic achievement, in the scope of this research, the studies on construc- tivist learning conducted between 2001 and 2013 were inspected. The studies marked with an as- terisk (* ) in the references section of this research were included in the meta-analysis. The first study was accessed for the purpose on 28 Feb- ruary 2014 and the last was accessed on 30April 2014. The following criteria were employed in the decision of what studies to include in the research: 1. In order to determine the level of effec- tiveness of doctoral dissertations on con- structivist learning published between 2001 and 2013 in Turkey, only available studies were analyzed. The reason why this dates are included is that there are doctoral dissertations about constructiv- ist learning only between 2001 and 2013 in Turkey. 2. Related studies include only the doctoral dissertations accessible from National The- sis Center, Council of Higher Education. 3. Studies with treatment and control group were included in the current research. Con- structivist learning was applied in the treat- ment group, while the control group in- corporated studies which constructive learning was not applied. 4. In studies where there were more than one test group, the group in which construc- tivist learning was applied was accepted as the treatment group. 5. In order to be able to calculate effect sizes, studies which lack arithmetic means, stan- dard deviations, and participant numbers were discarded. 6. In studies where more than one test was applied, the data from a random test were analyzed. 7. To collect data, CoHE National Thesis Center was scanned for doctoral disser- tations with the key words, “constructiv- ism”, “constructivist approach”, “con- structivist education”, and “constructiv- ist learning”. 8. Initially, 89 studies were accessed. How- ever, upon controls it was seen that some of these studies were qualitative and some lacked a control group, while some did not have the statistical data required for effect sizes. 9. Consequently, 27 experimental and semi- experimental studies that conformed to the criteria formed the samples in this research. CodingoftheData At first, an electronic form was created in which all studies were coded. The coding was in two phases. In the first phase studies were giv- en an identity. To classify the studies on Mi- crosoft Excel, the names of the authors, the year of the paper, level of schooling, type of subject, and the city where the study is conducted were determined. Every title was further divided into sub-titles and number coded. For example, the title “level of schooling” was divided into cate- gories and these were coded with numbers as the following: “1= Pre-school, 2=Primary School, 3= Secondary School, 4= High School, 5= Uni- versity”. In the second phase, there are arith- metic means, standard deviations, and sample size values which were obtained from treated and control groups. Variable The effect sizes used in the studies were in- cluded in the meta-analysis. These were related to the effectiveness of constructivist learning and were defined as dependent variable. Effect size is defined as frequency of occurrence of a certain effect in a study or of a phenomenon in the society (Tarim 2003). Independent variables (study characteristics) used in the data analysis were the students’ level of schooling, the year the studies were conducted, types of subjects, the cities where the study was conducted and number of samples. DataAnalysis The effect sizes of the studies included in the meta-analysis were calculated. Model type was determined by looking at their effect size
  • 4. POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 205 and test of heterogeneity was applied. In the analysis of data, Procedural Effect meta-analy- sis method was applied. This method was used in the case of inspecting the difference between the groups and when the arithmetic means of dependent variables were obtained with differ- ent instruments. In this method, the difference between treatment and control groups was cal- culated using the formula, d= (Xe-Xc)/SD (Hunt- er and Schmidt 2004). In the Procedural Effect meta-analysis meth- od, standardized effect size values indicated by “d” and “g” were used. In the current study, “Hedges’d” was used in order to calculate the effect size. In the meta-analysis process, fixed- effects model was used in case of a homoge- neous distribution of effect sizes, while random effect model was used in the case of a heteroge- neous distribution (Ellis 2010). To conduct the analysis in this paper, the researchers employed SPSS 20.0, Comprehensive Meta Analysis and MetaWin Statistics programs. FINDINGS The effect sizes of 27 studies in this research were calculated using their sample sizes, stan- dard deviations and arithmetical means. Data from a total of 2065 students were gathered in a total of 27 studies, 1044 of which were treated group and 1021 of which belonged to the control group. Table 1 shows the frequency and per- centage information according to the variables, namely the year of the study, level of schooling, type of subject, and the city where the study was conducted. A majority of the studies included in the re- search were conducted between 2007 and 2008 (25.93%). The distribution according to the cit- ies in which the studies were conducted shows that there were 10 studies (37.04%) fromAnkara and 4 studies (14.81%) from Izmir. Upon inspec- tion of the levels of schooling used in the stud- ies, the researchers see that the majority of dis- sertations were at the level of University (40.74%). These were followed by six dissertations focus- ing on Secondary school (22.22%) and High school (22.22%). In terms of the types of sub- jects the studies looked at, the researchers see that the majority is Science and Technology (18.52%) with 5 dissertations focusing on it. On the other hand, the standard error and variance values of the studies were combined in a shared table. Figure 1 shows the respective confidence intervals, effect sizes of each of the Table 1: Frequencies and percentages of the studies according to variables Variable Frequency Percentage Variable Frequency Percentage (f) (%) (f) (%) Year of Study Level of Schooling 2001-2002 1 3.70 Pre-school 2 7.41 2002-2003 1 3.70 Primary school 2 7.41 2003-2004 1 3.70 Secondary school 6 22.22 2004-2005 2 7.41 High school 6 22.22 2005-2006 2 7.41 University 11 40.74 2006-2007 3 11.11 Type of Subjects 2007-2008 7 25.93 Computer 1 3.70 2008-2009 2 7.41 Biology 3 11.11 2009-2010 3 11.11 Geography 1 3.70 2010-2011 2 7.41 Child Development 2 7.41 2011-2012 3 11.11 Religion and Moral Studies 1 3.70 City the Study was Science and Technology 5 18.52 Conducted Physics 1 3.70 Ankara 10 37.04 English 1 3.70 Bursa 1 3.70 Chemistry 1 3.70 Diyarbakir 1 3.70 Mathematics 2 7.41 Erzurum 3 11.11 Practicum Teaching 1 3.70 Istanbul 3 11.11 Art 2 7.41 Izmir 4 14.81 Social Sciences 2 7.41 Kastamonu 2 7.41 Agriculture (Elective) 1 3.70 Konya 1 3.70 Turkish 3 11.11 Kutahya 1 3.70 Trabzon 1 3.70
  • 5. 206 YAVUZ ERISEN AND RAFET GUNAY studies included in the meta-analysis as well as their weight on the total effect size. In Figure 1, the researchers see the meta-anal- ysis diagram (forest plot) that displays the effect sizes of doctoral dissertations which have not been combined yet. Effect sizes are depicted with squares; the longer the horizontal lines passing through them the wider is their confidence inter- vals. The arrows show confidence intervals which do not fit in the diagram. According to Figure 1, the widest confidence interval belongs to that of Pektas (2008). What’s more, all 27 doctoral dis- sertations used in the research are seen to have positive effect sizes. Positive effect sizes indicate that the effect size favours the treatment group. Table 2 shows the homogeneous distribution val- ue, average effect size, and confidence intervals of studies included in meta-analysis. The effect of constructivist learning on aca- demic achievement could be said to be in the positive direction with the effect size of 1.101 in fixed-effects model. The positive values of ef- fect sizes show that the effect sizes of perfor- mances of this size favour treated group. If the result were negative, the effect size would favour control group (Wolf 2006: 26). Following the ho- mogeneity test Q statistical value was found to be 361.830. From the Ch-square table 26 degrees of freedom were found to be 92.814 with a signif- icance level of 95 percent. That is, as Q statisti- cal value (361.830) exceeded the critical value of Chi-square distribution (χ2 (0.95) =92.814), the dis- tribution of doctoral dissertations show hetero- geneity according to fixed-effects model. If stud- ies show heterogeneity according to Q statisti- cal value, the studies are analyzed according to random-effects model with the aim to save the samples from heterogeneity. On the other hand, in the current research, it was assumed that under the random-effects model, the real effects of the studies were the samples in real distribution. Therefore the data from the 27 studies in the meta-analysis were calculated according to random-effects model Study Name Statistics for each study Hedges’s Standard Variance Lower Upper Z-value P-value Hedges’s g and 95% CI g error limit limit Acar (2008) 0.480 0.298 0.089 -0.104 1.064 1.612 0.107 Altas (2012) 1.955 0.258 0.066 1.450 2.460 7.587 0.000 Ari (2008) 0.721 0.187 0.035 0.354 1.089 3.852 0.000 Aydin (2011) 1.374 0.296 0.088 0.793 1.955 4.636 0.000 Bakir (2010) 1.210 0.201 0.040 0.816 1.603 6.019 0.000 Bay (2008) 2.889 0.348 0.121 2.207 3.571 8.308 0.000 Bulut (2009) 0.726 0.310 0.096 0.119 1.332 2.344 0.019 Buyuktaskopu(2010) 2.935 0.321 0.103 2.306 3.564 9.150 0.000 Erdem (2012) 3.185 0.415 0.172 2.372 3.998 7.676 0.000 Hancer (2005) 0.893 0.272 0.074 0.359 1.426 3.282 0.001 Hasiloglu (2009) 1.009 0.308 0.095 0.405 1.612 3.274 0.001 Inan (2009) 1.600 0.227 0.052 1.154 2.045 7.037 0.000 Kaya (2010) 2.608 0.323 0.104 1.974 3.241 8.069 0.000 Kildan (2008) 0.592 0.153 0.024 0.291 0.892 3.858 0.500 Kizilabdullah (2008) 0.182 0.270 0.073 -0.348 0.712 0.674 0.168 Koc (2002) 0.205 0.149 0.022 -0.087 0.497 1.878 0.000 Kucukavsar (2010) 1.222 0.262 0.069 0.709 1.736 4.670 0.001 Mant (2007) 1.825 0.529 0.280 0.787 2.852 3.447 0.000 Mercan (2012) 1.800 0.278 0.077 1.255 2.344 6.486 0.000 Ozden (2012) 5.046 0.417 0.174 4.230 5.863 12.110 0.616 Pektas (2008) 0.211 0.421 0.177 -0.613 1.036 0.502 0.000 Savas (2006) 1.636 0.273 0.075 1.101 2.171 5.994 0.263 Semenderoglu(2012) 0.364 0.325 0.105 -0.273 1.000 1.120 0.661 Turgut (2005) 0.103 0.235 0.055 -0.358 0.564 0.439 0.000 Yalcin (2010) 1.048 0.195 0.038 0.666 1.429 5.381 0.002 Yurdakul (2004) 0.773 0.249 0.062 0.286 1.261 3.108 0.000 Zor (2008) 2.240 0.303 0.092 1.647 2.834 7.397 0.000 Fixed 1.116 0.049 0.002 1.020 1.212 22.776 0.000 Fig. 1. Meta-analysis diagram showing the effect direction of the studies (Forest Plot)
  • 6. POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 207 and gave the following results; standard error was calculated to be 0.189, the lower limit of 95 percent confidence interval was 1.022, the upper limit was 1.761 and the effect size value was ES= 1.391. Upon z-test done in order to calculate statistical significance, z was found to be 7.377. Accordingly with p= 0.000, it can be said that the analysis was statistically significant. The effect size is in the wide interval according to Cohen’s classification of effect size values, in other words, it can be said that constructive learning has a positive effect on academic achievement. Effectiveness of Constructivist Learning According toType of Subject In order to determine whether the effect size of constructivist learning differs according to the subject type, 7 groups were determined includ- ing Mathematics, Biology, Child Development, Science and Technology, Social Sciences, Turk- ish, and Art. As there were not enough studies to demonstrate the effect size of other subjects, they were not given in Table 3. The analysis re- sults of the 7 subjects given were shown in Table 3. As per Table 3, the highest effect size ac- cording to the school type in which the studies were conducted belonged to Turkish with 2.338; and the lowest effect type belonged to Child Development with 0.398. Upon homogeneity test, Q statistical value was calculated as 4.236. From Chi-squareTable, 6 degrees of freedom were found to be 8.581 at 95 percent significance. That means, as Q statistical value (4.236) was found to be lower than Chi-square critical distribution (χ2 (0.95) =8.581), the Subject Type distribution of doctoral dissertations showed homogeneity. That is, the distribution can be said to have a homogeneous structure. Therefore, it can be said that there is not a significant difference (QB = 4.236, p=0.498) in terms of the effect sizes be- tween groups caused by the type of subject. Effectiveness of Constructivist Learning According to Level of Schooling In order to determine the effect of the level of schooling of the students acting as samples in doctoral dissertations on the combined effect size, the studies were divided into five different groups; namely, pre-school, primary, secondary, high school, and university. The analysis re- sults according to 8these levels of schooling were given in Table 4. As can be seen from the results of analysis given at Table 4, the highest effect size belongs to the Primary school group with 2.412, while the Table 2: Homogeneity values and effect sizes of studies included in the meta-analysis according to their effect models Model type N Z Average Total 95% confidence interval for effect size heterogeneity effect size (ES) value (Q) Lower Limit Upper Limit Fixed-effects 27 22.244 1.101 361.830 1.004 1.198 Random-effects 27 7.377 1.391 361.830 1.022 1.761 Table 3: Homogeneity values and effects sizes according to school type the studies were conducted Model type Effect size N Effect 95% confidence interval for between groups (QB ) size effect size Lower limit Upper limit Type of Subject 4.236 Mathematics 2 1.202 0.349 2.056 Biology 3 0.671 -0.015 1.358 Child development 2 0.398 0.018 0.779 Science and Technology 5 1.667 0.641 2.692 Social Sciences 2 1.211 0.356 2.065 Turkish 3 2.338 1.378 3.544 Art 2 2.182 1.657 2.708
  • 7. 208 YAVUZ ERISEN AND RAFET GUNAY lowest belongs to the Secondary school group with 0.913. However, homogeneity test between groups gave the value QB = 2.489. From the Chi- squareTable, it was seen that at 95 percent sig- nificance level, 4 degrees of freedom were 6.052. That means, the distribution of level of school- ing in doctoral dissertations is homogeneous according to the fixed-effects model as Q statis- tical value (2.489) was found to be lower than the critical value (χ2 (0.95) =6.052) of Chi-square distri- bution. Thus it can be said that the distribution has a homogeneous structure. Accordingly, the researchers can say that there is not a signifi- cant difference in terms of the effect sizes formed between groups due to levels of schooling. The Effectiveness of Constructivist Learning According to the Cities the Studies Were Conducted According to predetermined criteria, studies from five cities (cities in which at least 2 studies were conducted) were included in the meta-anal- ysis. Thus, meta-analysis results for 5 groups representingIstanbul,Ankara,Izmir,Erzurum,and Kastamonu were shown in Table 5. As can be seen from Table 5, the highest effect size (2.181) was in Erzurum, while the low- est (0.553) was in Kastamonu. The homogeneity test between the cities gave the value QB = 3.023. From the X2 table, 4 degrees of freedom were found to be 5.589 at 95 percent significance lev- el. That means, the distribution of doctoral dis- sertations in terms of the cities is homogeneous according to the fixed-effects model as Q statis- tical value (3.023) is lower than the critical value (χ2 (0.95) =5.589) of the Chi-square table. Thus it can be said that the distribution has a homoge- neous structure. Accordingly, the researchers can say that there is not a significant difference in terms of effect sizes (QB = 3.023. p=0.687) be- tween groups formed according to cities. In oth- er words, the effectiveness of constructivist learning does not change according to cities. DISCUSSION According to the findings obtained from the paper, the effect size was found to be ES=1.391 in favour of constructivist learning. In line with the determined criteria, the 27 doctoral disserta- tions conducted on the effect of constructivist learning in Turkey, it can be said that the applied constructivist education has an effect on aca- demic achievement in the classification frame- work of Cohen (1992) and it is located in the wide Table 4: Homogeneity values and effect sizes of studies according to level of schooling Model type Effect size N Effect 95% confidence interval for between groups (QB ) size effect size Lower limit Upper limit Level of Schooling 2.489 Pre-school 2 1.762 -0.560 4.083 Primary school 2 2.412 0.865 3.958 Secondary school 6 0.913 0.575 1.251 High school 6 1.122 0.721 1.523 University 11 1.685 0.903 2.468 Table 5: Homogeneity values and effect sizes as per cities where the studies were conducted Model type Effect size N Effect 95% confidence interval for between groups (QB ) size effect size Lower limit Upper limit City of study 3.023 Ankara 10 1.240 0.718 1.761 Istanbul 3 1.938 -0.266 4.141 Izmir 4 0.991 0.358 1.623 Erzurum 3 2.181 0.900 3.462 Kastamonu 2 0.553 0.268 0.838
  • 8. POWER, AGILITY AND SPEED IN FEMALE TEAM SPORT PLAYERS 209 interval(1.10<Cohen’sd<1.45)whichisthehigh- est level. These results which are based on the doctoral dissertations made on constructivist learning in Turkey are consistent with many stud- ies in the literature (Acar 2008; Bulut 2009; Hasi- loglu 2009; Pektas 2008; Yalcin 2010; Yurdakul 2004). In the past, Schmidt et al. (2009) inspected via meta-analysis many studies made on this subject and found that constructivist learning was more effective in terms of learning than in cases where it was not used. On the other hand, the established heterogeneity of the data follow- ing homogeneity test shows that it cannot be generalized to the whole population. Consequent- ly, sampling error, or size, or the existence of vari- ables other than the researched variables could be the reasons that increase heterogeneity. In the present meta-analysis research, it was also inspected whether effect sizes differed ac- cording to the types of subjects, levels of school- ing, and the cities the studies were conducted in. When the data was analyzed in terms of the 7 different types of subject, namely, Mathematics, Biology, Child Development, Science and Tech- nology, Social Sciences, Turkish andArt, it was seen that all subjects had positive effect size values. It was seen that the highest effect size belonged to Turkish, and the lowest effect size belonged to Chiled Development classes. It can be said that there is not a significant difference between effect sizes of groups (QB = 4.236, p=0.498) formed according to the subject type of the studies included in the meta-analysis. As a precise judgment cannot be reached since there were few studies that met the criteria on Mathe- matics, Child Development, Social Sciences, and Art, it is more plausible to say that these only gave information about the current situation. The data obtained related to the type of subjects give similar results with the studies by Batdi (2015), Gozuyesil and Dikici (2014) and Cogaltay et al. (2014). Similarly, no significance was observed in the meta-analysis study by Kablan et al. (2013) on the use of materials. On the other hand, there is no similarity with the findings from meta-anal- ysis by Camnalbur and Erdogan (2008). Upon meta-analysis on the levels of school- ing of the samples; the results showed that the highest effect size belonged to primary school (2.414) level, and the lowest effect size was at secondary school (0.913) level. It can be said that there is not a significant difference (QB = 2.489, p=0.324) in terms of effect sizes between the groups formed by the levels of schooling in the studies included in the meta-analysis. Con- sequently, it can be said that there is no differ- ence between the size effects of different levels of schooling and all inspected levels of school- ing has high levels of contribution to the aca- demic achievement. What is more, the effect siz- es in terms of the levels of schooling are in ad- verse proportion with the number of studies. It was inquired if other meta-analyses conducted in Turkey showed significant differences in terms of levels of schooling.Accordingly, it was seen that effect sizes did not differ in terms of levels of schooling in meta-analyses by Okur- soy (2009) on the studies on concept maps teach- ing strategies, by Sahin (2005) on internet-based education, and by Camnalbur and Erdogan (2008) on computer-assisted education. The findings in the present study are similar to the findings of other research inspected. Following analysis according to the cities wherein the studies were conducted, the results showed that in terms of the effect sizes in cities where at least two studies were conducted, the highest effect size was in Erzurum with 2.181, and the lowest was in Kastamonu with 0.553. The researchers can say that there was no sig- nificant difference between the effect sizes of groups (QB = 3.023, p=0.687) formed according to the cities in the studies included in the meta- analysis. The reason why the effectiveness of constructivist learning is researched according to the cities in which studies were conducted is that meta-analysis is conducted with both sig- nificant and non-significant study samples, and it is sometimes witnessed that researchers con- strue the meaning of the effect seen only in one population and do not take other populations into consideration. Further, in determining the size of the real effect, accessing the whole of the observed distribution provides a diversity of samples and makes the result more generalizable (Borenstein et al. 2011). It must be noted that the cities where the studies were conducted belong to different regions in Turkey. This paper also made it possible to evaluate different cultures, values, and traditions together. Therefore, in the present study the effect sizes were studied ac- cording to the cities. CONCLUSION Based on the data obtained from meta-analy- sis, it was seen that constructivist learning ap- proach has a considerably large effect on achievement. With random-effects model, not one effect was estimated by taking the mean of
  • 9. 210 YAVUZ ERISEN AND RAFET GUNAY effect distribution.Accordingly, it is recommend- able to apply constructivist learning in educa- tional settings by developing it further, as it at- taches importance to learn how to learn, as it is based on progressivist education philosophy, and as it favours students’ individual differenc- es and progress; defends problem-solving, crit- ical thinking, and entrepreneurship; treats the school as life itself and puts effective learning and guidance counselors on the foreground. It is expected that the present study will act as a guide to the researchers who study constructiv- ist learning. In addition, it is promising that this learning approach is put into practice, incorpo- rated in the system and gave its results in insti- tutions that belong to The Ministry of National Education in Turkey. Consequently, it was con- cluded that constructivist learning approach was effective in terms of academic achievement in the positive direction, and that there was no dif- ference in terms of the type of subject, levels of schooling and the cities the studies were con- ducted in. RECOMMENDATIONS In the light of the information above, the prac- ticers are provided with some suggestions. The present paper of meta-analysis inspected the ef- fect of constructivist learning only on students’ academic achievement. Other researches who wish to conduct meta-analysis on this subject could look at the effect of constructivist learn- ing on factors such as attitudes and motivation. They could even realize more comprehensive meta-analysis research. That is, besides doctor- al dissertations, they could include master’s the- ses, national and international articles and pa- pers and compare meta-analysis results. Addi- tionally, effect sizes could be calculated and com- pared between universities where these theses were prepared. Consequently, a more compre- hensive result could be attained. The relative scarcity of meta-analysis as a method employed in studies in the field of edu- cation in Turkey shows that the method is newly developing. Therefore, the use of other methods and models of meta-analysis in the prospective studies in the field will improve its usability. On the other hand, meta-analyses are readily being used in many other research disciplines. It could be used in pharmaceutical industry, criminology, psychology, and educational sciences for the diversity of causes; and it could not only be used in combining findings but also in supporting the use of these findings. It is the aim of meta-analy- sis to compare a study, after it is conducted, with others under normal conditions. 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