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Eurasian Society of Educational Research
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Eurasian Society of Educational Research
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Christiaan Huygensstraat 44, Zipcode:7533XB, Enschede, THE NETHERLANDS

'mathematics content knowledge' Search Results



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Measuring the quality of the ‘product’ is elemental in education, and most studies depend on observational data about student achievement factors, focusing overwhelmingly on quantitative data namely achievement scores, school data like attendance, facilities, expenditure class size etc. But there is little evidence of learner perceptions. 553 students from two different universities, who graduated from 3 high school types, were asked to respond to two fundamental questions to reflect on school and classroom level achievement factors. 2294 responses produced eight categories in question one, teacher factors being the most preferred (n=424), followed by individual factors (n=404) and then family factors (n=395). As for liking towards a course, 1362 responses were produced, most frequent one being teacher’s attitude (n=205). Results indicate student perspective of causes of achievement is somewhat different from those expressed in quantitative studies. Girls attributed more achievement to study habits, family support whereas boys attributed more to school and technology. More emphasis is needed on perceived achievement factors for a sound evaluation of effectiveness in school.

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10.12973/eu-jer.5.2.85
Pages: 85-100
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1821
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Several studies have been conducted on technological, pedagogical content knowledge and web-based education. In this study, the Technological Pedagogical Content Knowledge and Educational Use of Web Technologies (TPCK-W) were analyzed in addition to the self-efficacy and attitudes of 33 teachers from eight different branches carrying out their duties in 19 countries of the European Union (EU). In this study, the Technological Pedagogical Content Knowledge-Web (TPCK-W) Survey developed by Lee, Tsai, and Chan was used. The data obtained statistics software was analyzed using SPSS for Windows 17.0 statistics software. As a result of the analysis, it was revealed that TPCK-W self-efficacy of teachers carrying out their duties in EU countries was high and their attitudes were positive; and age, experience, and gender did not affect their TPCK-W self-efficacy and attitudes. Moreover, participants’ general web attitudes changed positively, depending on their web communication, web content, and pedagogical use of the web.

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10.12973/eu-jer.4.4.149
Pages: 149-155
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1411
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1867
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4

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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.

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10.12973/eu-jer.4.3.124
Pages: 124-139
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2334
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2813
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Technological Pedagogical Content Knowledge (TPACK) is a model that explains how teachers use technology more effectively in the context of technological, pedagogical, and content knowledge. Teachers' TPACK competencies play great importance in this regard. Lesson study has also been playing significant roles in the development of teachers' professional trainings. When the researches on TPACK and lesson study have been analyzed, the research is expected to provide significant contributions to the literature. This study aims to present reflections from a lesson study practice that carried out to urge techno-pedagogical competencies of the secondary school mathematics teachers and to reveal the development of teachers’ progress. The study used case study method, and it was conducted with three in-service teachers. The research data were collected through semi-structured interviews, voice recorder, and observation notes. To analyze the collected data, descriptive analysis method was used. The results have revealed that teachers have made much more progress in designing, implementing, and problem solving in terms of TPACK competencies. It has also been determined that teachers’ development of openness to the innovations was limited. This limitation appeared to emerge as a result of teachers’ time anxiety and insufficient knowledge regarding the use of technology.

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10.12973/eu-jer.6.1.41
Pages: 41-50
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897
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1988
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11

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In order to reflect the integration of the teachers’ content knowledge, pedagogical knowledge, and technology usage skills to the class context and to provide the expected outputs for the program's purposes, it is needed to be revealed the different dimensions of Technological Pedagogical Content Knowledge (TPACK). In this study, it was aimed to investigate the teacher training programmes related to pre-service science teachers’ TPACK. This study was designed as a cross-sectional study. In the 2015-2016 academic year, a total of 269 pre-service teachers (73 of them from 1st grade, 73 of them from 2nd grade, 87 of them from 3rd and 36 of them from 4th grade students) attending Science Education Department participated in this study. As a data collection tool, 7 subscales of “Technological Pedagogical Content Knowledge Scale of Pre-Service Teachers”; namely, technology knowledge, pedagogical knowledge, content knowledge, technological pedagogical knowledge, technological content knowledge, pedagogical content knowledge, and technological pedagogical content knowledge were used. According to the results, as the class level of pre-service teacher increases, their level of technological pedagogical content knowledge increases as well. Moreover, there is a significant difference on behalf of pre-service teachers at the 1st grade in all dimensions of technological pedagogical content knowledge scale.

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10.12973/eu-jer.6.1.51
Pages: 51-57
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894
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1823
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3

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The purpose of the present study is to investigate pre-service history teachers’ perceived self-efficacy and the effect of pedagogical formation training on this perception. The study is based on a one-group pretest-posttest research design, which is a type of pre-experimental design. For the purpose of the study, in the first week of the formation training, the “Teachers’ Sense of Efficacy Scale” developed by Tschannen-Moran and Hoy and adapted to Turkish by Capa, Cakiroglu and Sarikaya was administered as a pre-test to a group of 178 pre-service history teachers who underwent pedagogical formation training in 2016-2017 academic year in two different universities in Turkey. The same scale was administered again as a post-test at the end of the 28-week training. The study has found out that the pedagogical formation training did not make a significant difference in pre-service history teachers’ perceived self-efficacy except for the classroom management subscale, in which the self-efficacy scores of pre-service history teachers decreased after the pedagogical formation training.

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10.12973/eu-jer.6.3.357
Pages: 357-366
cloud_download 663
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663
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1367
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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.

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10.12973/eu-jer.6.4.541
Pages: 541-552
cloud_download 567
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567
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1469
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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.

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10.12973/eu-jer.7.2.349
Pages: 349-358
cloud_download 417
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417
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1411
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2

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0

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It is important for pre-service teachers to know the conceptual difficulties they have experienced regarding the concepts of multiplication and division in fractions and problem posing is a way to learn these conceptual difficulties. Problem posing is a synthetic activity that fundamentally has multiple answers. The purpose of this study is to analyze the multiplication and division of fractions problems posed by pre-service elementary mathematics teachers and to investigate how the problems posed change according to the year of study the pre-service teachers are in. The study employed developmental research methods. A total of 213 pre-service teachers enrolled in different years of the Elementary Mathematics Teaching program at a state university in Turkey took part in the study. The “Problem Posing Test” was used as the data collecting tool. In this test, there are 3 multiplication and 3 division operations. The data were analyzed using qualitative descriptive analysis. The findings suggest that, regardless of the year, pre-service teachers had more conceptual difficulties in problem posing about the division of fractions than in problem posing about the multiplication of fractions.

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10.12973/eu-jer.7.2.373
Pages: 373-385
cloud_download 783
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783
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1429
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4

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4

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The aim of this qualitative case study is to investigate prospective mathematics teachers’ subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the most successful universities in Turkey were the participants of the study. The data was collected through four tasks containing basic algorithms. More specifically, the Ones Task assessed participants’ understanding of the underlying place value concepts of standard algorithms. The Andrew Task and the Doubling Task required participants to conceptualize and interpret nonstandard strategies. In the Division Task, participants were expected to provide in-depth explanation for the difference between multiplication and division and between partitive division and measurement division. The content analysis method was used to analyze the data. The results of the study revealed that more than half of the prospective mathematics teachers had knowledge about the place value of 1 in addition and subtraction, and also multiplication. However, most of the prospective teachers could not explain the underlying principle and the meaning of the nonstandard algorithm in subtraction. Similar to their knowledge on subtraction, prospective teachers’ knowledge on division was limited.

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10.12973/eu-jer.7.3.513
Pages: 513-528
cloud_download 327
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327
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1031
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2

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2

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Within the scope of restructuring the secondary education efforts of the Ministry of National Education, it has been decided to abrogate the secondary school level teachers' schools. The purpose of this study is to evaluate Turkey's teacher education practices and the quest for qualified teacher education through the perceptions of the graduates of these high schools. The study is a phenomenological research based on interpretation. Data were obtained through interviews. The data obtained were analyzed in the vetting of candidate teachers, the curriculum to be used in the education process and its accreditation, and whom to be certified as teachers. The main results of this study, conducted with participants from the secondary school level teachers schools’ graduates, show that, in terms of teacher education, teachers' high schools present various opportunities by enrolling successful candidates, educating them as leaders, preparing them for multi-cultural environments. In order to educate qualified teachers, the participants suggest teacher education programs should include individual and group activities, involve training, arts, basic science, and values education courses. In the selection and approval of tenure teacher, besides academic achievement and diploma, advanced communication skills, patience, confidence, and patriotism should be sought in the candidates.

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10.12973/eu-jer.7.3.539
Pages: 539-554
cloud_download 634
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634
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1036
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4

Scopus
3

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Technology is an indispensable part of the educational curriculum, and large budgets have been allocated to provide technological infrastructure in secondary education institutions in Turkey. It is important that teachers have the technological pedagogical content knowledge (TPCK) to successfully integrate technology into their courses. The aim of this study is to examine the development of the TPCK of a mathematics teacher who participated in in-service training course organized for the use of Geogebra software in geometry teaching. The in-service training is designed in accordance with the Technology Integration Model stages, and Geogebra software is used taking into account the learning outcomes of 9th and 10th grade secondary school geometry. The case study method has been employed, and data was collected through interviews, observation, self-assessment forms, and field notes. The findings show that the in-service training helped the maths teacher integrate technology in the teaching and developed the knowledge of curriculum, students’ understandings and learnings, and instructional strategies and methods. With regard to research recommendations and results, professional development programs that will provide TPCK development can be organized so that teachers can use the ever-evolving technologies in their classes along with the appropriate pedagogical approaches.

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10.12973/eu-jer.7.1.9
Pages: 9-29
cloud_download 841
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841
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1946
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3

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The purpose of this study was to evaluate pre-service science teachers’ argumentation skills, attitudes and knowledge levels regarding organ transplantation and donation (OTD). Teachers play a fundamental role in providing information to children/adolescents and could influence their attitudes. Organ transplantation is a life-saving hope for many people, but shortage of organs for transplantation is a universal problem. Having a positive attitude and true knowledge are essential for teachers that affect students’ future attitude toward this topic. The research method was descriptive and cross-sectional. The sample of research was 472 pre-service science teachers, who were sampled by using convenient sampling method and are students of Science Education Department at four different public universities. Data collection instruments were developed by researchers as valid and reliable questionnaire in order to determine the attitudes, knowledge levels and argumentation skills of pre-service teachers regarding OTD. Results observed that the pre-service science teachers' argumentation skills in a socio-scientific subject such as OTD were at a very low level, their attitudes were at a moderate level, and their knowledge level was above the average. Results of the study have shown that graduated high school type and grade level have played important roles in the positive attitudes, high argumentation skills and high knowledge level about organ donation. No significant difference was found in the attitudes and knowledge level of pre-service science teachers toward OTD in terms of gender. The gender only affected the ability of argumentation.

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10.12973/eu-jer.8.2.545
Pages: 545-558
cloud_download 580
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580
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1090
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2

Scopus
1

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A modern teaching method influences both direct and indirect learning achievement through the student's nonacademic factors. The researcher has an intention to examine the influences of new teaching methodology on mathematics achievement towards mathematics attitude, achievement motivation, and self-efficacy of students as mediating variables (n teacher = 117, n student = 2,205). The Multilevel Structural Equation Modeling revealed that attitude towards mathematics is the most important factor in explaining the academic achievement of individual students. It could be explained the variance with achievement motivation and perceived self-efficacy of students by 60.50%. As for the modern teaching method, there was a positive effect on achievement both directly and indirectly through all three factors with statistical significance and explained conjointly about the variance of student achievement in each classroom by 99.00%. This finding suggests the importance and direction of teaching design that covers the development of relevant factors as proposed in discussions and implementations.

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10.12973/eu-jer.8.3.713
Pages: 713-727
cloud_download 1452
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1452
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1620
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17

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17

The Profile of Structure Sense in Abstract Algebra Instruction in an Indonesian Mathematics Education

structure sense group property element structure

Junarti , Y. L. Sukestiyarno , Mulyono , Nur Karomah Dwidayati


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The structure sense is a part that must be learned in order to help understand and construct connection in abstract algebra. This study aimed at building the pattern of a structure sense as a profile of the structure sense in group property. Using a qualitative study, the structure sense of group property was explored through lecturing activity of abstract algebra course from two individual assignments given to the students. The students who could provide the best answers from the first and second individual assignments were chosen to be the respondents. The data from the second assignment, then, was analyzed through presentation, interpretation, coding, making a pattern, leveling and continued with clarification through an interview. The results of the study show that there were six patterns of structure sense answers and five levels of structure senses made by the students as the profile of structure sense. The conclusion is the inability to recognize the structure of the set elements, operation notations, and binary operation properties is one of the causes of the constraints in structuring the proof construction of the group. Thus, a thinking of mathematics connection is needed in structure understanding as a connection between symbol in learning and the symbol of abstract.

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10.12973/eu-jer.8.4.1081
Pages: 1081-1091
cloud_download 507
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507
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1056
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2

Scopus
5

The Use of PSPP Software in Learning Statistics

probability and statistics attitude pspp software academic performance technology

Minerva Sto.-Tomas , Darin Jan Tindowen , Marie Jean Mendezabal , Pyrene Quilang , Erovita Teresita Agustin


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This descriptive and correlational study investigated the effects of using PSPP in learning Statistics on students’ attitudes and performance. The respondents of the study were 200 Grade 11 Senior High School students who were enrolled in Probability and Statistics subject during the Second Semester of School Year 2018-2019. The respondents were randomly selected from those classes across the different academic strands that used PSPP in their Probability and Statistics subject through stratified random sampling. The results revealed that the students have favorable attitudes towards learning Statistics with the use of the PSPP software.  The students became more interested and engaged in their learning of statistics which resulted to an improved academic performance.

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10.12973/eu-jer.8.4.1127
Pages: 1127-1136
cloud_download 995
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995
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1572
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4

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5

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This study aimed to describe seven indicators of students’ verbal linguistic intelligence in reading subject. It used a qualitative research method. The subjects of this study were 30 students consisted of 9 male and 21 female students. They took the reading subject in the second semester of the first year. They were given a test of verbal-linguistic intelligence. Seven students were selected to be interviewed because they have verbal-linguistic intelligence and good communication. To find out the validity of the data, the researchers used triangulation of the test results and the results of interviews and triangulation of the second researcher and research assistants. Furthermore, the data were analyzed using the content analysis method which consisted of three steps, they were data reduction, data presentation, and conclusion drawing/verification. The results of the study show that there were seven indicators of verbal-linguistic intelligence of students in reading subject, first, having excellent initial knowledge in mentioning words, second, enjoying wordplay with Scrabble, third, entertaining themselves and other students by playing tongue twisters, fourth, explaining the meaning of the words written and discussed, fifth, having difficulties in mathematics lesson, sixth, their conversation refers to something they have read and heard, and the last, having the ability to write poetry based on personal experience.

description Abstract
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10.12973/eu-jer.9.1.117
Pages: 117-128
cloud_download 29338
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29338
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16897
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5

Scopus
8

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The empowerment of metacognitive skills has an important role in increasing the capacity of critical thinking and active control of students' cognitive processes in learning. Metacognitive skills can be enhanced through the implementation of learning strategies involving higher-order thinking. The RQA, ADI, RQA integrated with ADI are constructivistic learning strategies that can accommodate these skills. The researches specifically examining the correlation between metacognitive skills and critical thinking skills at the implementation of RQA, ADI, and RQA integrated with ADI learning strategies are still rarely found. This research is a correlational research, aiming at revealing the correlation between metacognitive skills and critical thinking skills. The data of metacognitive skills and critical thinking skills are collected by using a valid and reliable essay test. The samples of this research are the fourth semester (IV) biology education students programming Animal Physiology course in the 2016/2017 academic year consisting of 109 students. The results of this research show that (1) there was a significant correlation between metacognitive skills and critical thinking skills at the implementation of the four learning strategies, (2) the regression equations analyzed using Anova obtain regression lines (not coincide), and non parallel regression lines (intersected); meaning that there is a difference in the increase rate and magnitude of the critical thinking skills influenced by the four learning strategies. It is expected that the teachers and the lecturers always strive to improve the quality of the learning process through the implementation of active and constructive learning strategies.

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10.12973/eu-jer.9.1.143
Pages: 143-163
cloud_download 2073
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2073
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3319
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30

Scopus
35

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The amount of empirical research conducted in the area of differentiated instruction (DI) is overwhelming, necessitating this bibliometric analysis in order to produce an overview of literature on the topic. The objective of this study is to identify the characteristics of the most-cited educational research published on the topic of DI using science mapping and multi-dimensional bibliometric analysis methods. To answer the research questions which were related to: i) publication, ii) authorship, iii) authors’ keywords, and iv) journals, a total of 100 articles published between 1990 and 2018, generated from SCOPUS, were analysed. The results showed that the most-cited articles and the number of publications were highest between 1995 and 2011. With a total of 545 citations “A Time for Telling”, published in the Journal of Cognition and Instruction (1998), was the most cited. The most significant keywords were: a) differentiated instruction, b) differentiation, c) curriculum, d) mathematics, and e) reading. The analysis showed that there were 283 authors who contributed to the 100 articles, and amongst them Carol McDonald Connor was the greatest contributor. It was also revealed that the great majority of the most-cited publications were from Q1-ranked journals. These findings inform scholarly efforts adopted in developing a diverse knowledge base in the field. The findings are important to scholars as they provide an overview of the progress of research on the topic of DI.

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10.12973/eu-jer.9.1.331
Pages: 331-349
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2058
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16

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Teacher education has been innovated in Brunei to support the ongoing inclusive education and curriculum reforms. This survey investigated the development of essential instructional skills in initial Brunei trainee teachers. The sample consisted of 109 student teachers (71 females and 38 males). Significant mean scores (Mean ≥ 4, p< .05) and 95% confidence intervals were used to identify the levels of proficiency and enablers of success in teaching. Participants were proficient on 15 of the 28 skills measured by the Teacher Behaviors Checklist (Approachable; Confident; Effective communicator; Encourages; Enthusiastic; Flexible; Good listener; Humble; Prepared; Professional; Rapport; Respectful; Sensitive; Striving to be a better teacher; Understanding). From independent groups, T-tests and One-Way ANOVA analyses, other significant trends in participants’ performance emerged at p< .05 level of evaluation. Females scored highest on Humble and Realistic expectations while males scored highest on Understanding. Trainee teachers aged 31-35 scored highest on: Promoting critical thinking; and Providing constructive feedback, than counterparts. Participants with higher degrees (e.g. Master of Arts) scored higher on Authoritative skills than those with lower degrees (e.g. Bachelor of Arts). Trainees with teaching experience scored significantly higher on: Accessible; Knowledge about the subject matter; and Technological competence, than those with no experience. The findings suggest the need to help pre-service teachers to gain proficiency in all teacher skills to improve the quality of education in the country. Further research was recommended.

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10.12973/eu-jer.9.2.685
Pages: 685-698
cloud_download 697
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697
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1298
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3

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2

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