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'Mathematics education' Search Results

Field Dependency and Performance in Mathematics

field dependency working memory mathematics education

Onyebuchi Onwumere , Norman Reid


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Mathematics is an important school subject but one which often poses problems for learners. It has been found that learners do not possess the cognitive capacity to handle understanding procedures, representations, concepts, and applications at the same time. while the extent of field dependency may hold the key to one way by which the working memory can be used more efficiently. This study aims to explore the concept of field dependency which may offer a way forward in reducing the cognitive demands of finite working memory capacity, thus enabling higher performance to be attained. Age and gender were considered. With a sample of 120 secondary school students, the importance of working memory in relation to mathematics performance was confirmed (r = 0.55 ). The extent of field dependency was measured with a larger sample of 547, drawn from five age groups. The outcomes were related to the performance in mathematics examinations, a correlation of 0.32 being obtained overall, with every age group showing positive significant correlations. In this, the more field independent perform much better. The outcomes are interpreted in terms of the increased efficiency in the use of finite working memory capacity resources. It was found that students become more field independent with age but the rate of growth of independence declines with age. Girls tended to be slightly more field-independent than boys, perhaps reflecting maturity or their greater commitment during their years of adolescence. The findings are interpreted in terms of the way the brain processes information and the implications for mathematics education are discussed briefly.

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10.12973/eu-jer.3.1.43
Pages: 43-57
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1038
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10

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Lesson starts are transitional events which may cause management problems for teachers This study sought junior secondary school mathematics teachers’ beliefs about calculator use in mathematics instruction in Botswana and was descriptive in nature adopting a survey design. The sample of seventeen (17) mathematics teachers from four (4) junior secondary schools in the Tutume Sub-district in Central Educational Region was selected through a purposive random sampling procedure. A questionnaire comprising both closed and open ended questions was designed to collect data then the analysis of results was carried out using descriptive and inferential statistics. As an illustration, a t-test was used to test for differences in teachers’ beliefs by gender while a one-way ANOVA was used to test for difference in their beliefs by experience. The study revealed that most of the teachers expressed their lack of confidence and were incompetent with the use of a calculator in their teaching with female teachers feeling less confident to explain different functions of a calculator than their male counterparts. In addition, the study showed that most of the teachers believed that a calculator was a technological tool that could be useful to the students in the future. On the contrary, most teachers felt that the overuse of calculators by the students could hamper the development of basic computational skills. Therefore, it was recommended that school based training on calculator use should be provided so as to empower teachers with the necessary technological skills for effective classroom instruction. The study findings have implications to research and practice as it provides unique and comprehensive data that will lead to insight for curriculum designers, policy implementers and instructional leaders on effective calculator use in math instruction.

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10.12973/eu-jer.2.4.151
Pages: 151-166
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1028
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1182
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2

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Scientific literacy has been increasingly considered a major goal of science education. While textbooks remain the most widespread tools for pursuing this goal within classrooms, they have been slow to adapt to the most recent epistemological paradigms, often still conveying distorted views of science and technology. Accordingly, we present herein a theoretical framework specifically intended to highlight the potential of textbooks to promote students’ scientific literacy. It is additionally argued that, often, the misconceptions conveyed by textbooks represent obstacles to the acquisition of a fair image of science and, therefore, to the acquisition of scientific literacy. Finally, a textbook analysis is suggested.

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10.12973/eu-jer.2.2.51
Pages: 51-68
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1349
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1509
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5

Gender and Learner Characteristics

high ability gender learner characteristics working memory

Huda Hindal , Norman Reid , Rex Whitehead


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It is well established that girls and boys perform differently in traditional examinations in most countries. This study looks at a sample of 754 school students in Kuwait (aged about 13) and explores how boys and girls differ in the performance in a range of tests related to learner characteristics. The fundamental question is how boys and girls differ in these learner characteristics and do any of the differences relate to examination performance. If the development of such learner characteristic is open to experiences in the formal learning situations, then this opens the door to possible ways to encourage the development of such characteristics, with possible concomitant enhancement of academic performance. It is found that girls outperform the boys in tests which measure extent of field dependency, extent of divergency and skills with the visual-spatial (all at p < 0.001). Confirming previous studies, the girls markedly outperform the boys in all school subject examinations but there are no differences in their measured working memory capacities. In looking at the relationships between various combinations of the measurements made, it is found that boys are much more dependent on working memory than girls in performing in examinations, and the boys are also much more dependent on employing skills related to divergent thought in achieving success in examinations. These observations are interpreted in terms of the way boys and girls learn, with girls being more conscientious and willing to memorise than the boys who, in turn, have to rely on working things out for success: girls tend to memorise; boys tend to try to work it out. This may offer an explanation of the greater success of girls in typical examinations where the accurate recall of information is so often the key to success.

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10.12973/eu-jer.2.2.83
Pages: 83-96
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1476
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3

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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.

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10.12973/eu-jer.2.1.25
Pages: 25-35
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988
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1195
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3

How In-Service Teachers Perceive Neuroscience as Connected to Education: An Exploratory Study

teaching learning educational neuroscience teachers

Amauri Betini Bartoszeck , Flavio Kulevicz Bartoszeck


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This exploratory study is concerned about the extent to which a sample of 163 pre-school, primary and secondary Brazilian school teachers, expressed their opinion on how neuroscience might help their teaching and pupils´ learning. Evaluation instruments for Brazilian pupils were analysed. Two questionnaires were completed by the teachers. Results of a quantitative analysis indicated that in general teachers believe that neuroscience may contribute to the teaching and learning of their subject matter. An outline for an elective neuroscience and education course is presented. Educational implications are discussed.

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10.12973/eu-jer.1.4.301
Pages: 301-319
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1777
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1601
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The purpose of this study was to investigate the influence of gender and knowledge on scientific creativity among form three biology students (third year in secondary school cycle) in Nakuru district in Kenya. The cross- sectional survey research was employed. A sample of eight schools with a total of 363 students was selected from the population using stratified sampling technique. Two instruments, namely, Biology Achievement Test (BAT) and Biology Scientific Creativity Test (BSCT) were used to collect data. The psychological definitions of creativity tested are sensitivity, recognition, flexibility and planning. The mapping of these psychological definitions of creativity onto scientific meanings is explained using the model that guided construction of items in BSCT. Data analysis was done using quantitative methods. The findings of this study indicate that the form three biology students who participated in the study had a low level of scientific creativity. Secondly, the level of scientific creativity is knowledge and gender dependent. The findings may help teachers and other stake holders in education in inculcating creativity skills amongst science students.

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10.12973/eu-jer.1.4.353
Pages: 353-366
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1150
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The concerns of this article are the unacceptable status of Science, Technology and Mathematics (STM) Education in the Caribbean and how to improve the students’ achievement in the subjects involved through the instrumentality of better preparation of teachers by the Colleges and University faculties training teachers in the region. The index for measuring development among nations of the world is the level of scientific and technological advancement because the factors that influence development are based on human ability to explore, invest and utilize the natural endowments available in the nation. In other words, no nation can attain any reasonable level of development without meeting the vital demands of development particularly in the areas of science, technology and mathematics. Therefore, the article begins with the presentation of the importance and the status of STM education using the mirror of science students’ achievement at global level. Moreover, it is established that the Caribbean education also has some challenges to deal with in the areas of science, technology and mathematics education. The tertiary institutions, particularly the colleges training teachers and the universities are then challenged with suggestions of what they can or should do in teacher preparation that may have direct impact on improving the science students’ achievement in the Caribbean.

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10.12973/eu-jer.1.4.367
Pages: 367-378
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809
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971
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2

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This study examined Programmed Instruction (PI) a panacea to students’ dwindling interest in mathematics. Descriptive research of survey design was adopted for the study. A questionnaire was designed to collect data from a sample of seven hundred and fifty (750) respondents which include 700 Students and 50 Teachers from Public and Private Secondary Schools in Ado-Ekiti Local Government Area of Ekiti State in Nigeria. The study revealed that usage of programmed instruction beef up curiosity in mathematics students and resulted to greater retention and mastery of subject matter. Also, the study revealed that lack of trained personnel to help guide students in the use of programmed books, scarcity of programmed books in the society, high cost of procuring programmed books and machine and lack of necessary infrastructural facilities have been the factors militating against the implementation of programmed instruction in schools. Based on the findings, it was recommended that curriculum experts should develop various using the programmed instruction approach. Government should release fund for the development of programmed books and school authority should encourage their teachers to attend seminars and workshops, were they could gain knowledge of how to implement programmed instruction and other pedagogical skills that will enhance the teaching and learning of mathematics. Also, there should be provision of necessary infrastructural facilities in schools for easy implementation of programmed instruction.

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10.12973/eu-jer.1.3.199
Pages: 199-209
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699
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950
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2

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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.

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10.12973/eu-jer.1.3.283
Pages: 283-299
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The major purpose of this study was to explore the social studies teachers’ perceptions and understandings of citizenship education in primary schools in Botswana. The study adopted a post colonial lens by using the notions of the pedagogy of imperialism and contrapuntal criticism to interrogate the teachers’ perceptions of citizenship education. The study was qualitative in nature and employed the naturalistic inquiry paradigm. Qualitative methods were used to collect data. Data were analyzed using grounded theory through the constant comparative technique. The findings of the study revealed that social studies teachers perceived teaching about Botswana as citizenship education. The paradox lies in the teachers’ view that knowledge about Botswana’s cultures, histories and politics constitutes citizenship education. Therefore, the study recommends that citizenship education be re-imagined to take into account both the local and global trends on citizenship education. Furthermore, teachers have to be cognizant of the politics of mainstream academic knowledge and work towards knowledge construction devoid of imperialist ideologies.

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10.12973/eu-jer.1.2.85
Pages: 85-105
cloud_download 970
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970
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936
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5

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Creativity is regarded as one of the cornerstones for economic and social progress in every society. There are two possible ways to get creative people to work for an enterprise or community. The first is by attracting creative employees by good working conditions – a solution for those who can afford such an approach. For communities that are not so rich, the only solution is to foster creativity by education and by helping small and medium enterprises to create products based on creative ideas and innovations. In Slovenia, proposals for nourishing creativity and innovations emerge from the government thus forgetting that creativity does not start at University or on the first day of employment. To increase creativity, immediate action should be taken throughout the educational system, recognizing that society needs not only creative artists but scientists, economists and engineers as well. Through the analysis of the legislation, syllabi and textbooks, it can be recognized that they do not promote or even allow creativity in science education; even more, they can be regarded as creativity killers. In such a way key documents and teaching resources are placing creative science teachers in the position of guerrillas in a battle against prevailing teaching methods influenced by highstakes external exams or measurable outcomes. To improve science creativity, the legislation should be changed to give creativity appropriate value, and teachers must be educated to use methods that increase creativity in students, with the aim of producing open minds that will be able to work in a creative way.

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10.12973/eu-jer.1.2.127
Pages: 127-141
cloud_download 1950
visibility 2010
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1950
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2010
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8

Brazilian Primary and Secondary School Pupils´ Perception of Science and Scientists

scientist image science questionnaire drawings pupils

Amauri Betini Bartoszeck , Flavio Kulevicz Bartoszeck


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The purpose of this study is to understand in an exploratory way pupils´ perception of science and the image of scientists at primary and secondary school levels. Data was collected by means of a survey questionnaire and a drawing representing pupils´ depiction what scientists do during their working hours. A questionnaire anchored on a Likert scale was filled by 204 primary and 229 secondary school children. Pupils from this sample considered science classes enjoyable, helped to understand issues covered by media, that science is a body of knowledge whose goal is to make life more comfortable to people. A total of 433 drawings were collected at 3 urban and 1 rural schools. Drawings illustrated scientists in scientific activity, mainly working alone, wearing lab coat and eyeglasses. Scientific specialization included chemists, biologists and a few technologist and astronomers. Educational implications are discussed.

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10.12973/eu-jer.6.1.29
Pages: 29-40
cloud_download 408
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408
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1046
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4

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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
cloud_download 717
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717
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1338
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10

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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
cloud_download 792
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792
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1131
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3

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Critical thinking is seen as a highly desirable way of thinking that needs to be encouraged in all areas of higher education.  However, it is not easy to conceptualise critical thinking in ways that can help in its development and in its assessment. Recent policy documents in Pakistan have laid emphasis on the development of critical thinking skills in higher education and The Higher Education Commission of Pakistan worked with USAID to publish new course guidance for Functional English, a mandatory course, as a part of introducing a revised four year BEd honours programme. The course includes aims like giving reasons to justify a view, distinguishing between fact and opinion and enabling students to develop argumentation skills. All these aims require students to develop skills involving questioning: asking questions of what is provided, who has provided it and what its meaning might be, key features of critical thinking.

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10.12973/eu-jer.6.1.59
Pages: 59-67
cloud_download 786
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786
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1214
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4

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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.

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10.12973/eu-jer.6.2.157
Pages: 157-174
cloud_download 409
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409
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1117
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2

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Effective school administrators and teachers are those who provide the least restrictive learning environments for all students. The main goal of this study was to analyze the effects of inclusive science education on the general education population of middle school students’ scientific conceptual understandings. The study was designed as a quasi-experimental model and conducted in a middle school in a large urban school district in Midwestern US. Approximately 4% of students in the school were receiving special education services. The participants in the study were selected through non-random selection. The participants of this study included 20 students without disabilities in each classroom with a total number of 120 students from a total of six different middle school classrooms. The study included two classrooms (one inclusive and one non-inclusive) for each grade level (6, 7, and 8). The conceptual change of students without disabilities was measured using the Density Assessment, which included 20 multiple choice questions. SPSS program was used for data analyses. Paired samples t-test and a multivariate group analysis test were conducted to investigate significant differences on students’ conceptual understandings. The findings showed that the effect of inclusive education was significant and positive on the conceptual understanding of students without disabilities in inclusive science classrooms.

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10.12973/eu-jer.6.2.175
Pages: 175-186
cloud_download 706
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706
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926
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2

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The study investigated differences in students’ reported overall test anxiety before, during, or after test taking among two school-levels and gender. Differences among three test anxiety components (thoughts, off-task behaviors, and autonomic reactions) were also examined. Participants were 725 primary (349 females, 376 males) and 375 middle (180 females, 195 males) school students from a metropolitan city in Turkey. Turkish students’ reported overall test anxiety declined from primary to middle school, with females showing higher test anxiety throughout school years. Whereas students rated thoughts high, autonomic reactions were rated low; followed by off-task behaviors. Female and male students did not differ in thoughts and autonomic reactions. School-level differences were found in off-task behaviors and autonomic reactions. The pattern of Turkish students’ overall test anxiety derived as a combination of thoughts, off-task behaviors, and autonomic reactions was discussed, and educational implications were offered.

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10.12973/eu-jer.6.2.187
Pages: 187-197
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1254
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This study presented a secondary analysis of the National Assessment of Educational Progress (NAEP) dataset. The paper explored the differences between fourth grade reading scores by examining (1) how often the fourth graders discuss their school work at home with family and (2) how often the fourth graders discuss what they were reading with friends. The results by NAEP Data Explorer indicate that the average scale score (M=214, SD=36) of students who report “never or hardly ever” talking about studies at home was significantly (p <0.001) lower than all other groups. The results of how often they talked to their friends about what they were reading were mixed: Students reporting talk with friends once or twice a month (M=228, SD=35) had significantly (p<0.001) higher average scale scores than those in the never or hardly ever and almost every day groups and slightly lower than those talking once or twice a week.

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10.12973/eu-jer.6.4.407
Pages: 407-417
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498
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1253
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