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The Relationship between the Amount of Learning and Time (The Example of Equations)

amount of learning time equations seventh grade

Cenk Kesan , Deniz Kaya , Gokce Ok , Yusuf Erkus


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The main purpose of this study is to determine the amount of time-dependent learning of "solving problems that require establishing of single variable equations of the first order" of the seventh grade students. The study, adopting the screening model, consisted of a total of 84 students, including 42 female and 42 male students at the seventh grade. Data was collected using an assessment tool consisting of 10 open-ended questions. The findings show that the learning group of 84 students were behind the value closest to the full learning level by a score of 0.013. While the female students reached the lower limit of 0.987 specified for the full learning level in a period of 3.2 course hours, the male students reached this limit in 4.0 course hours. The learning amount of 0.999, which is the closest value to the full learning level, was reached by the learning group in a period of 9.7 course hours, the female students in 8.5 course hours, and the male students in 11.3 course hours. In addition to this, the data obtained showed that learning difficulties among to the learning groups decreased as the space below the curve of time and learning amount decreased. As a result of the study, it was recommended that it is possible to determine the closest course periods for the full learning level for each of the gains found in all levels of education and all teaching programmes, which define certain learning outcomes within a certain time.

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10.12973/eu-jer.5.3.125
Pages: 125-135
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431
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This study provides a framework for the production of Hypermedia Instructional package. It also assessed the effectiveness of hypermedia instructional mode of delivery on students’ performance in Chemistry. This is with a view of improving the learning of Chemistry which may eventually help to improve students’ performance. The developmental study employed a pre-test, post-test control group design. The research sample consisted of 60 private secondary school students in Osun State with an enrolment of 30 students from each of the two schools selected. The students were thereafter assigned to experimental and control groups. The stimulus material used for the experimental group was the Hypermedia Instructional Package, while the Control group received instruction with similar content through the conventional method. The test instrument used was Hypermedia Learning Achievement Test (HLAT). Content and face validity of the instrument used was carried out by experts in the area of tests and measurement. The Cronbach’s alpha reliability coefficient for the HLAT gave a value of 0.72. Data collected were analyzed using descriptive and inferential statistics. Results obtained showed that students exposed to the Hypermedia Instructional Package (HIP) performed significantly better than those exposed to the conventional teaching method (t = 5.458, df = 58, p < 0.05). Results also revealed a significant difference in the retention ability of students in Chemistry between those exposed to the package and those that were not (t= 6.842, df=58, p<0.05). The study concluded that the use of HIP was an intervention which improved students’ performance retention and attitude towards Chemistry.

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10.12973/eu-jer.5.1.27
Pages: 27-34
cloud_download 642
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642
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870
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2

Scopus

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The paper presents an educative experience organized in a postgraduate course in a faculty of education with the aim of facilitating students’ “affective self-understanding”. Affective self-understanding is a reflective practice that allows people to comprehend their own emotions in order to gain awareness of them. Students were spontaneously engaged in a laboratory, where they were invited to reflect on their emotional lives. The educative experience was subdivided into different phases requiring writing and analysis tasks. At the end of the experience, students were asked what they thought they had learned, what had been difficult, and what had been the most important phase for learning. Students’ answers were analyzed on the basis of grounded theory through an inductive process of analysis. The theoretical framework of the research is the cognitive theory of emotions. According to this theory, an emotional education is possible because we can understand emotions by identifying their cognitive component and the actions they induce.

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10.12973/eu-jer.4.4.157
Pages: 157-176
cloud_download 1634
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1634
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1440
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6

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This paper describes a pedagogical framework that teachers can use to support students who are engaged in solving open-ended problems, by explaining how two Japanese expert teachers successfully apply open-ended problems in their mathematics class. The Open-Ended Approach (OPA) framework consists of two main sections: Understanding Mathematical Knowledge and Applying Mathematical Knowledge. The sections were cross-analyzed with students’ responses to provide a comprehensive analysis of how teachers use various techniques to support students. It is proposed that teachers can use this framework to create an environment that promotes learning with open-ended as well as other open problems in their mathematics classroom. The OPA framework can contribute to teacher education, the design of mathematics curricula and to educational research.

description Abstract
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10.12973/eu-jer.4.3.97
Pages: 97-104
cloud_download 4333
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4333
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2947
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15

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Facilitating effective mathematics learning and higher mathematics achievement have long been recognized as a key to the scientific and technological advancement of the African continent. While the central role that language proficiency plays in mathematics teaching and learning has received an overwhelming research attention in the literature over the past two decades, this is not the case among African policy-makers and political leaders. Drawing mainly from our professional experiences as mathematics educators and from the international research literature, our primary intent in this paper is to answer this question: How does the learning of mathematics in English at the basic school level help or hinder students’ mathematical proficiency? To answer this question, the paper is organized as follows. The first part, the introduction, gives a brief overview of the language of learning and teaching in Africa. The second part describes the method and conceptual framework undergirding the research. In the third section, we have analyzed the effects of mathematics learning and teaching through English for basic students whose mother tongue is a Ghanaian language. The conclusion offers four recommendations for developing and improving the mathematics proficiency of students in basic schools.

description Abstract
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10.12973/eu-jer.4.3.124
Pages: 124-139
cloud_download 2170
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2170
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1821
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2

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In this article, a teaching strategy which not only blends yesterday and today in a meaningful way but also powerfully integrates literacy and history will be examined. Firstly Readers’ Theatre as a technique will be introduced. Secondly, the usage guidelines of Readers’ Theatre will be presented. Finally the opinions of secondary school students about Readers’ Theatre as an instructional component in history teaching will be discussed. The research was conducted on 72 11th grade students from Deneme Secondary School in Çankaya district in Ankara in the spring term of 2013-2014 school years. For the purpose of the study, students were taught by using Readers’ Theatre technique in history lessons for four weeks and at the end of this implementation, the semi-structured interviews were held to determine the opinions of students about Readers’ Theatre technique. The themes were formed by making content analyze to the collected data. It is concluded that the students mainly have described Readers’ Theatre as “theatre”. They have found Readers’ Theatre useful in many respects as they outline the positive effect of the technique on their reading and obtaining historical information. They like most the cooperation with their peers and acting. The vast majority of students have not mentioned any dislikes and a few of them have difficulties to follow the script. Finally, the answers of the majority of the students on the implementation of Readers’ Theatre again are “positive” and their suggestions for better implementation are “on stage”, “the same way” and “using visuals”.

description Abstract
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10.12973/eu-jer.4.1.14
Pages: 14-21
cloud_download 952
visibility 1197
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952
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1197
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6

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This study examines the effect of project based learning on 8th grade students’ statistical literacy levels. A performance test was developed for this aim. Quasi-experimental research model was used in this article. In this context, the statistics were taught with traditional method in the control group and it was taught using project based learning in the intervention group. Statistics was given for four weeks according to pro ject based learning at intervention group. The performance test was applied to total 70 students as pre and post-test. Participants are from two different classes of a middle school in Trabzon. The data were analysed using Rasch measurement techniques. This measurement allowed both students’ performance and item difficulties to be measured using the same metric and placed on the same scale. All raw scores converted linear score in order to obtain equal interval scale. Acquired linear scores were compared. In the analysis of gained datum covariance analysis are used. According to gained results in pre-processing application there isn’t substantial difference between the achievements of intervention group and control group; but after processing between the achievements of intervention group and control group there is a substantial difference statistically in favor of intervention group. The results of the study revealed that the project based learning increased students’ statistical literacy levels in the intervention group.

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10.12973/eu-jer.3.3.145
Pages: 145-157
cloud_download 923
visibility 952
7
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923
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952
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7

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This study aimed to comparatively examine the self-efficacy and burnout levels of preschool teachers in Turkey and the United States. Of the general screening models, the study uses the relational screening model. A total of 90 teachers participated in the study. 32 of the participants were from the United States and 58 were from Turkey. The Teacher Self-Efficacy Scale and Burnout Scale were used in the study. The data were analyzed through the Whitney U-Test. According to the analyses regarding the self-efficacy levels of teachers, a significant difference in student participation sub-dimension as well as in total points in favor of the teachers in Turkey were found. However, no significant difference was found between the two countries with regards to teachers’ burnout levels. Regarding the self-efficacy levels of teachers working in Turkey, a significant difference was found in favor of teachers with two to five years of experience in the student participation sub-dimension, while no significant difference was found in the other sub-dimensions and in total points. On the other hand, no significant difference was determined was found between the self-efficacy levels and years of experience for the teachers in the United States.

description Abstract
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10.12973/eu-jer.2.1.25
Pages: 25-35
cloud_download 987
visibility 1195
3
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987
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1195
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3

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Mathematics is well known as a subject area where there can be problems in terms of understanding as well as retaining positive attitudes. In a large study involving 813 school students (ages approximately 10-12) drawn from two different school systems in Pakistan, the effect of limited working memory capacity on performance in mathematics was explored along with a survey of areas of difficulty and student attitudes. This involved looking at student perceptions of their experiences, the nature of the difficulties they have with mathematics and possible reasons for these difficulties. The overall aim is to explore the extent of the effect of working memory and to gain insights so that practical ways forward to enhance mathematics education can be identified. It was found that limited working memory capacity has a very strong influence on performance, confirming other studies. Indeed, if the cognitive load exceeds the capacity of working memory, understanding becomes a casualty, with consequent attitude deterioration. Students need to be able to see that mathematics has a purpose in being able to be applied to real-life situations. However, attempts to develop applications may often generate further working memory overload. Curricula devised by those outside the classroom can sometimes be inappropriate while topics causing the greatest problems at these ages and include areas of geometry, statistics and the applications of mathematics.

description Abstract
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10.12973/eu-jer.1.3.283
Pages: 283-299
cloud_download 1870
visibility 1577
15
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1870
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1577
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15

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The purpose of this study was to investigate how mental rotation strategies affect the identification of chemical structural formulas. This study conducted event-related potentials (ERPs) experiments. In addition to the data collected in the ERPs, a Chemical Structure Conceptual Questionnaire and interviews were also administered for data collection. Eighteen university students majoring in chemistry were recruited. In the ERP experiments, the participants were required to identify 2D figures, 2D chemical structural formulas, 3D objects and 3D chemical structural formulas. The contours of 2D figures are similar to those of 2D chemical structural formulas, but they contain no content knowledge. Likewise, the contours of 3D objects are similar to 3D chemical structural formulas without content knowledge. The results showed that all students used similar strategies of mental rotation in identifying 2D figures, 3D objects and 3D chemical structural formulas. However, the high-achieving students used different strategies in identifying 2D figures and chemical structural formulas, while the low-achieving students tended to use similar strategies of mental rotation in identifying both 2D figures and chemical structural formulas. The results indicate that some of the difficulties in identifying 2D chemical structural formulas that students encounter are due to their inappropriate strategies of mental rotation.

description Abstract
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10.12973/eu-jer.1.1.37
Pages: 37-54
cloud_download 1352
visibility 1402
10
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1352
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1402
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10

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The aim of this study is to reveal the benefits gained from “Special Training Methods II” course and the problems prospective mathematics teachers encountered with it. The case study method was used in the study. The participants in the study were 34 prospective mathematics teachers studying at a Primary School Mathematics Education Department. The data collection tools were a form composed of open-ended questions and semi-structured interviews. Descriptive analysis of the quantitative data was carried out. In the “Special Teaching Methods II” course, beginning in the spring term of the 2015-2016 academic year, teaching activities on “multiple intelligences”, “discovery”, “group work”, “problem-solving”, “history of mathematics” and “computer-assisted teaching” were developed and implemented. It was concluded that these activities helped students like mathematics more, understand the importance of helping each other and cooperation and have more enjoyable lessons, as well as aiding their cognitive, social and emotional development. It was also found that through these activities participants improved their belief in themselves and increased their confidence regarding teaching mathematics. The participants also faced with some difficulties during the application process. They mostly mentioned that preparing worksheets was time-consuming, finding a school to perform the activity was hard and students were reluctant.

description Abstract
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10.12973/eu-jer.6.2.157
Pages: 157-174
cloud_download 405
visibility 1114
2
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Views
405
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1114
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2

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This study examines the subjects and concepts in biology perceived to be difficult to learn and teach by 759 pre-service biology teachers registered in the pedagogical formation program at Uludag University Faculty of Education in the academic year of 2005-2016, as well as the associations that word “biology” first calls to their mind. The study was designed as a survey model, and a questionnaire of three scaled questions was used as a data collection tool. The data were classified into 10 different categories based on different branches of biology: Anatomy-Morphology, Biotechnology, Ecology, Evolution, Physiology, Genetics, Histology, Cytology, Systematics and Reproduction and Development. Following the classification, the data were analyzed using frequency and percentages. The subjects and concepts perceived to be difficult to learn by the pre-service teachers are respectively as follows: photosynthesis and its stages, genetics, circulatory system, aerobic respiration, respiratory system, anaerobic respiration, protein synthesis, phanerogams, DNA structure and function, cryptogams, mitosis, plant systematics, endocrine system, meiosis, ETC, urinary system, plant physiology, taxonomy, evolution and digestive system. The subjects and concepts perceived to be difficult to teach by the pre-service teachers are respectively as follows: photosynthesis and its stages, protein synthesis, circulatory system, endocrine system, meiosis, plant systematics, evolution, mitosis, reproduction, genetic crossing over problems, Latinization of names, urinary system, genetics, ecology, aerobic respiration, DNA structure and function, plant tissues, glycolysis and anaerobic respiration. These findings confirm the need for developing undergraduate programs in biology and promoting the research culture at the secondary education level.

description Abstract
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10.12973/eu-jer.6.4.495
Pages: 495-508
cloud_download 671
visibility 933
6
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671
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933
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6

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Mathematics educators have reported on many issues regarding students’ mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts. This study aimed to investigate the opinions of primary-school teacher education students in terms of their perceptions of difficulty level of the mathematics courses, change in their achievement, if there is any, and interest in mathematics after completing these courses, and factors affecting their achievement and interest level in these courses. Being qualitative in nature, this study was a case study. The data were analyzed using the content analysis and descriptive methods. According to the results, most students stated that they faced mathematics course content with unexpected level of difficulty. After taking basic mathematics courses, the percentage of students with decreased level of interest and achievement in mathematics was found higher than the students who experienced an increase in their interest and achievement. Students underlined such significant factors for the change of their interest and achievement in mathematics as prior knowledge, lecturer(s), and content coverage. Finally, most of the students viewed mathematics courses as a beneficiary tool for their professional development.

description Abstract
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10.12973/eu-jer.6.4.541
Pages: 541-552
cloud_download 380
visibility 1026
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380
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1026
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2

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This study investigated prospective mathematics teachers’ reflections on the experience of designing and conducting one-to-one clinical interviews with middle school students in the context of an elective course on use of video in teacher learning. Prospective teachers were asked to write about weaknesses and strengths in student understanding as well as their own performance as an interviewer in terms of asking questions and responding to student thinking in their reflections on conducting clinical interviews. Furthermore, prospective teachers were also asked to reflect on what they would do differently in order to conduct better clinical interviews.  Nature of prospective teachers’ reflections were analyzed by using existing frameworks (through constructs of reflection-on-action and reflection-for-action) and by using thematic analysis. Results of data analyses revealed that prospective teachers had more difficulties in providing meaningful reflection-for-action which was related to alternative decisions and planning for future similar interviews. Thematic analysis results revealed prospective teachers’ learning were grouped under three categories: conducting clinical interviews as part of being a teacher, complexity of conducting clinical interviews, and personal theories about middle school students. There are implications for both teacher learning and research.

description Abstract
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10.12973/eu-jer.7.2.349
Pages: 349-358
cloud_download 321
visibility 886
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321
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886
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2

Scopus
0

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The aim of this study is to review the academic papers written in Turkey on the subject of school readiness, with regard to one of the dimensions of school readiness, that of schools’ readiness for children. The examinations were carried out using one of the qualitative research designs, namely the nested case study design. The study universe consists of 45 articles in Turkish that include the subject of school readiness published in 26 academic journals between the years 2012-2017. With the purposeful sampling method, 14 academic papers that include the dimension of schools’ readiness for children were taken as the study sample. The obtained data were analyzed by descriptive content analysis. The analysis results show that half of the studies reviewed were published in the year 2014. It was observed that in the papers, among the components of the dimension of schools’ readiness for children, the schools’ physical readiness component was most often mentioned. In the articles including the schools’ physical readiness component, it was observed that mainly, findings indicating that schools were not physically suitable for first-year pupils’ level of physical development had been made. As for the component of teachers’ readiness, research findings were accessed relating to the fact that teachers were not prepared for students in terms of their attitudes and values as well as their professional knowledge and skills. Moreover, in the articles, in terms of readiness of the schedule for students, findings were accessed regarding the fact that primary school programmes were not suitable for the levels of the students or for their levels of readiness.

description Abstract
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10.12973/eu-jer.7.3.431
Pages: 431-443
cloud_download 386
visibility 918
5
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386
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918
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5

Scopus
8

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The aim of this study is to explain and predict prospective preschool teachers’ academic achievements depending on goal orientations they adopt, their critical thinking dispositions and self-regulation skills. Research sample constitutes of 265 prospective preschool teachers attending the Faculty of Educational Sciences in Cukurova University. Research data were collected with the 2x2Achievement Goal Orientations Scale, Self-Regulation Questionnaire and Critical Thinking Disposition Scale. Demographical information about prospective teachers’ gender, age, grade level and academic grade point averages were obtained with the personal information form. For the analysis of research data, One-Way Analysis of Variance (ANOVA) and discriminant analysis were used. In this study; it was concluded that prospective teachers with high level of learning approach orientation, critical thinking disposition and self-regulation skills had higher levels of academic achievement. However, it was determined that distinguishing variables among prospective preschool teachers with low, medium and high level of academic achievement included learning approach, performance approach goal orientation and critical thinking disposition and self-regulation skills. Correct classification percentage of distinguishing variables according to prospective preschool teachers’ levels of academic achievement was determined as 48.8%. Considering the fact that prospective teachers’ achievement-goal orientations, critical thinking dispositions and self-regulation skills may increase their academic achievement and shape their future teaching performances, it is suggested to implement programs that will contribute to the development of such skills and orientations among prospective preschool teachers.

description Abstract
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10.12973/eu-jer.7.3.601
Pages: 601-613
cloud_download 710
visibility 930
13
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710
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930
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13

Scopus
12

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The inorganic chemistry is one of the essential courses in the education of pre-service chemistry teachers. This study investigates the differences between the adopted learning approaches and achievements of Turkish pre-service chemistry teachers' who received the inorganic chemistry course from the same lecturer. The purposes of this study are to explore the relationship between the inorganic chemistry achievements and the adopted learning approaches of pre-service chemistry teachers and to examine the effect of their learning approaches on their inorganic chemistry achievements. This study was conducted with 127 pre-service chemistry teachers from the Department of Chemistry Education at one of the public university in Turkey. “The Study Process Questionnaire” and “The Inorganic Chemistry Achievement Exams” were used as the data collection tools. The descriptive statistics and chi-square test were used for the data analysis. The results of the study displayed that (1) there is a significant relationship between the pre-service chemistry teachers’ inorganic chemistry achievement and their learning approach; (2) their learning approach has 34 % effect on their inorganic chemistry achievements according to Somers'd value.

description Abstract
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10.12973/eu-jer.7.3.731
Pages: 731-738
cloud_download 509
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509
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959
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2

Scopus
0

Factors Revealed while Posing Mathematical Modelling Problems by Mathematics Student Teachers

mathematical modelling; mathematics student teacher; modelling problem posing

Semiha Kula Unver , Caglar Naci Hidiroglu , Ayse Tekin Dede , Esra Bukova Guzel


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The purpose of this study is to reveal factors considered by mathematics student teachers while posing modelling problems. The participants were twenty-seven mathematics student teachers and posed their modelling problems within their groups. The data were obtained from the modelling problems posed by the participants, their solutions on these problems and the groups’ reflective diaries regarding their problem posing and solution processes. The data were analyzed by using content analysis and the codes were constructed according to the problems’ contents. The participants' diaries were examined in terms of generated codes and the expressions supporting/relating the codes were determined. While designing the problems, the participants considered the factors such as being interesting, understandable, appropriateness to real life and modelling process, model construction, and usability of different mathematical concepts. Their solutions were generally handled in terms of usage of the mathematical statements, appropriateness to the modelling process and being meaningful for real life. Modelling training should be provided to enable the student teachers to develop modelling problems and their designs should be examined and the feedbacks should be given.

description Abstract
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10.12973/eu-jer.7.4.941
Pages: 941-952
cloud_download 448
visibility 728
10
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448
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728
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10

Scopus
11

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The purpose of the present study is to test a hypothetical model in order to examine the association between students’ sense of classroom belonging along with four other university class-level variables including faculty-student relationships, connected classroom climate referring peer relationships, loneliness and classroom identity. It is intended to draw attention of teacher educators to the importance of creating sense of community at classroom level through this study in order to improve the quality of teacher education. With this aim, pre-service teachers attending the faculty of education were selected as sample of the study (N= 1425). Each measures used in this study was adapted for college-level students through confirmatory factor analysis in order to test specific predictions concerning each measure’s structure and the results revealed that  all measures have adequate psychometric properties. The model examined with structural equation modeling was an excellent fit with the data, and the results indicated that the fitted model explained 50% of the variance in classroom identity; 47% of the variance in sense of classroom belonging; 14% of the variance in classroom climate; and 9% of the variance in loneliness. Results and implications are discussed.

description Abstract
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10.12973/eu-jer.8.1.87
Pages: 87-97
cloud_download 455
visibility 746
8
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455
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746
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8

Scopus
12

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A variety of teacher training system was implemented in Turkey until today. One of these systems is pedagogical formation training. The aim of this study was to determine the strengths and weaknesses of the pedagogical formation training according to the opinions of pre-service teachers and the experiences during the pedagogical formation training, to gather information about whether these experiences contributed to their teaching, and to evaluate the place of the pedagogical formation training in teacher employment in the light of this information. The research was carried out using an interview technique of qualitative analysis methods. The study group comprised of 20 pre-service teachers from different undergraduate programs, and they participated in a 14-weekinternship program at a high school in Ankara during the 2017-2018 academic year as a requirement for a training course.  Content analysis method was used for data analysis. As a result of the research, the pre-service teachers stated that they found the internship training in practice schools as useful for future teaching lives, but they did not find the theoretical training given in the classes useful for various reasons. They considered that there are some weak points of the program: the duration of the formation course is short, lessons are late in the evening, classes are crowded, and the teaching staff have negative effects on the students: they are indifferent, and there are almost the same topics in each lesson. This means that they were mostly not satisfied with its overall quality, and so its operability was enough. Like some of the suggestions, it is recommended that duration of the program should be extended to a long period, and the instructors should be selected from those who can give energy to the class, have communication skills, can create discipline in the classroom, and have experience in traditional classroom teaching.

description Abstract
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10.12973/eu-jer.8.2.395
Pages: 395-407
cloud_download 607
visibility 565
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607
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565
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9

Scopus
9

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