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'Maths' Search Results



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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429
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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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698
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946
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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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1252
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1621
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9

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In this research, it was aimed to determine the views of mathematics teacher candidates about the technological tools that can be used in mathematics lessons. The research was conducted through qualitative research methodology. 120 teacher candidates who were educated in the mathematics teacher education program in Dicle University Ziya Gokalp Education Faculty took part to the research. The data of the study were collected through semi-structured interviews. The data collection tool used in the study is an interview form developed by the researcher, and it consists of open-ended questions. In the analysis of the data, descriptive analyses were used. As a result of the data analysis obtained from the research, it was determined that teacher candidates responded as “computer/computer software” at most for the questions about what technological tools could be used in mathematics lessons, what technological tools they would use when they were teachers, and which technological tools would be beneficial. In addition, teacher candidates stated that there were computers at most as technological tools in their faculties and the technological tools in their faculties were mostly used for visualization/concretization the subject.

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10.12973/eu-jer.6.3.321
Pages: 321 - 330
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375
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4

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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
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380
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1024
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2

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Anxiety that students experience during test taking negatively influences their academic achievement. Understanding how students perceive tests and how they feel during test taking could help in taking effective preventive measures. Hence, the current study focused on assessing children’s perceptions of tests using content analysis. The sample consisted of 1143 participants (566 females and 570 males) attending 3rd (n = 320), 4th (n = 420), 5th (n = 197), and 6th (n = 206) grade classes in three public schools in Istanbul, Turkey. The findings indicated that three main domains emerged from the data. The domains and the categories under each domain were as follows: evaluation (grades, success vs. failure, learning and development, and intelligence), emotions (excitement, fear and anxiety, happiness, curiosity, mixed feelings, and disappointment), and experiential process (answering questions, studying, difficulty, thinking, having fun, cheating vs. honesty, and silence). Understanding students’ experiences with testing early on in their education will give researchers and practitioners the chance to plan effective applications for treatment and prevention, which would influence students’ future achievement and experiences. The study findings could also help teachers and school counselors plan more effective teaching and counseling programs that take into account students’ anxiety levels during tests.

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10.12973/eu-jer.7.2.159
Pages: 159-167
cloud_download 605
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605
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1131
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2

Scopus
3

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This research aims to complete Turkish adaptation, validity and reliability studies for the Math and Me Survey developed by Adelson and McCoach for use in determining the students’ attitudes towards mathematics in the transition from primary school to middle school. Within the scope of validity and reliability studies for the scale, data gathered from 1169 primary school students had item analysis, exploratory factor analysis and confirmatory factor analysis performed. In line with this, 18 items from the original scale were translated to Turkish and item equivalence between the original English and Turkish translation was ensured. During item analysis to determine the construct validity of the scale, an item with low item total correlation value was removed from the scale. The Cronbach alpha coefficient was calculated as .93. The Cronbach alpha coefficients from the scale subdimensions of Enjoyment and Self-Perception were calculated as .91 and .88. The confirmatory factor analysis results for the scale revealed perfect fit with the construct determined in the exploratory factor analysis results. Thus, the Math and Me survey can be said to be a valid and reliable tool for use in Turkish culture.

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10.12973/eu-jer.7.3.707
Pages: 707-714
cloud_download 391
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391
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780
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5

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5

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Gender differences in mathematics learning outcomes are still evident in many countries participating in large scale international testing, as well as in national testing in Israel, the context in which the study reported here was conducted. The participants were 281 students from three Israeli elementary schools and were in grades 4 and 6. The students completed a questionnaire with items based on a selection of variables included in explanatory models for gender differences in mathematics. It was found that many students held gendered beliefs related to mathematics learning, particularly when the questions asked related to themselves or to significant others in their lives (parents and teachers); the views of the majority of students were gender neutral. When presented with two photographs -a man, and a woman- and asked who was the one more likely to work with mathematics, it was clear that the students’ choices and explanations echoed perceptions of mathematics as a male domain.

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10.12973/eu-jer.7.4.867
Pages: 867-876
cloud_download 501
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501
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732
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3

Scopus
6

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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 749
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749
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1472
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Students’ test anxiety is known to have significant influences on essential academic outcomes, and given the increased testing of school-aged children gender differences also appear in dimensions of test anxiety: thoughts, off-task behaviors, and autonomic reactions. This study examined: (i) whether there is a pattern of correlations exist among three dimensions of test anxiety that are tapped by the Children’s Test Anxiety Scale (Wren & Benson, 2004) and (ii) whether gender differences exist in the strength of these test anxiety dimensions. Students (N= 414) from 3 public schools, attending to the fourth grade (205 Females; 209 Males) were asked to rate on the thoughts (cognitive), off-task behaviors (behavioral), autonomic reactions (physiological) dimensions. The results revealed a strong relationship between thoughts and autonomic reactions (r = .57). Applying a multivariate approach, gender differences were found to be significant in overall test anxiety favoring females. Results also revealed a small female advantage for thoughts and autonomic reactions, Ƞ2 = .012 and Ƞ2= .016; but quite a small male advantage for off-task behaviors Ƞ2=.009. Taken as a whole, we need to seriously consider the implications of these differences and pay attention particularly to females in elementary schools.

description Abstract
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10.12973/eu-jer.8.1.21
Pages: 21-30
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1313
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1358
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5

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8

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This study aims to investigate the anxiety levels of secondary school students towards science course depending on a number of variables. Research sample consists of 2245 students who continue their education at public schools in Denizli in the academic year of 2017-2018. "Anxiety Scale for Science Course-which is developed by Kagitci and Kurbanoglu and "Personal Information Form" are used as data collection tools in the research. SPSS 22.0 package program is used for analysis of the data. Descriptive survey model is used in research. Parametric tests including One-Way ANOVA and independent samples t-test are used for analyzing data. As a result of the research, it is found out that secondary school students’ science anxiety levels significantly differ depending on the variables such as class level, the grade they received in science course, scientific books they read, the documentaries they watch, enjoying the science course and science teacher, educational level of parents, reviewing what they learn in science course and experiencing parental pressure for studying science course. However, there is found no significant difference between students' anxiety levels in terms of gender and their getting support while studying science.

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10.12973/eu-jer.8.1.63
Pages: 63-71
cloud_download 928
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928
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901
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2

Scopus
1

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The research was conducted to determine the opinions of students (10-11 years) on their engagement to mathematics course. These students are 5th grade students at a secondary school in Turkey. Qualitative research method was used in the research. At the study, designed as case study, a total of seven secondary school students were participated the research. The study group was constituted with “snowball sampling” technique of purposeful sampling methods. The data was collected by a semi-structured interview form. Sixteen-page interviews obtained from the interviews were transferred to the computer. Data analysis was performed in content analysis. Codes were listed as a result of analysis. Common themes were constituted from the codes. As a result of the research, three themes, (cognitive, social and emotional engagement) eleven sub-themes and eighty nine codes were determined. It was seen that the students’ most preferred superficial strategies in terms of cognitive engagement; negative opinions towards group work in terms of social engagement; value given to math course in terms of emotional engagement. Students preferred least getting support sub-theme in terms of cognitive engagement; competitive sub-theme in terms of social engagement; value to the mathematics teacher sub-theme in terms of emotional engagement.

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10.12973/eu-jer.8.1.337
Pages: 337-348
cloud_download 367
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367
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692
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2

Scopus
1

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The aim of this study is to reveal the suggestions of guidance and psychological counseling candidates (GPC) in dealing with math anxiety. The study analysed 50 GPC candidates’ opinions and suggestions on math anxiety. The research study utilized case study method. The participants were asked to respond what kind of studies they would suggest to their clienst in order to overcome math anxiety once they begin to work in their profession. The interviews transcripts were converted into written documents. Content analysis was made on those documents to find GPC candidates’ suggestions and opinions. Based on the findings, it can be concluded that the reasons of math anxiety can vary from individual to individual. Therefore, it was emphasized that the studies to determine the causes of math anxiety should be specific for each individual. Then, consultancy service should be formed based on the assessment of reasons that cause anxiety for each person. If the individual's math anxiety is caused by environmental factors such as teachers, families and peers, guidance and psychological counseling services should be offered to these environmental factors.

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10.12973/eu-jer.8.2.421
Pages: 421-431
cloud_download 517
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517
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784
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3

Scopus
3

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Methods of education in schools should promote students' activeness, self-awareness, initiative and creativity; be suitable with the characteristics of each class and subject; foster self-study methods, ability to work in groups, practice skills to apply knowledge into practice, and impact emotions to bring joy as well as excitement to students. Experiential education is a method of teaching and meets the above requirements. In fact, experiential activities are closely related to teaching and educational activities in schools, in order to create an environment for learners, associate theory with practice, and unify awareness with action and learners, and have the opportunity to experience their own behavior. The main purpose of this study was to evaluate the performance of activities through experience in solving problems about the equation of a circle and investigate students' attitudes as well as beliefs in such activities. The experimental class included 30 10th grade students and was taught by experiential learning model, while the control class also had 30 students and was taught in a conventional way of teacher’s guidance. Both quantitative and qualitative methods were used to analyze and evaluate the collected data. The results showed that the experimental class achieved better mathematical results than the control class as well as had a positive learning attitude, showing interest in the learning topic.

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10.12973/eu-jer.9.1.239
Pages: 239-255
cloud_download 1100
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1100
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998
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2

Scopus
3

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This study determined the challenging learning experiences of engineering students while completing their degree program as factor that might influence to their changing attitude towards achieving higher academic performance. Mixed method of research was utilised in the study considering the total population of 75 graduating students for quantitative and 12 students for qualitative part of the study using focus group discussion. Results showed that engineering students have significantly higher level of positive attitude towards academic performance during their junior level but significantly lower after taking professional courses. Attaining high academic performance still really matters for the engineering students during their junior level but continuously changing their perspective due to encountered challenging experiences while taking the professional courses. Performance in General Engineering courses describes the attitude of the students towards academic performance in personal aspect while professional courses define their attitude in professional aspect. The finding of the qualitative research revealed that there are three themes emerged in the challenging experiences of the engineering students and these are: Abandoned Social Freedom, Survival of the Fittest and Future Oriented Mindset which contributed to the changing perspectives of the engineering students.

description Abstract
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10.12973/eu-jer.9.3.1127
Pages: 1127-1140
cloud_download 1926
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1926
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3310
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4

Scopus
5

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The study aims at investigating basic level schoolteachers' awareness of their students' mathematics learning disability (MLD) in the context of Nepal. It is based on a mixed-method research design in that it combines both qualitative and quantitative approaches as appropriate. Using the stratified random sampling technique, 300 basic level mathematics teachers were selected from 150 basic level (grades 1-8) community and institutional schools representing the three significant ecological regions (the Mountain, the Hill, and the Terai) and demographic variables (gender, place of residence, and school type) from Province 1 of Nepal. A Mathematics Learning Disability Awareness Scale (MLDA-Scale), was developed and used to measure the basic level schoolteachers' awareness of their students' MLD. Besides, a semi-structured interview was conducted with the purposively selected basic level schoolteachers for the qualitative data. The basic level schoolteachers' awareness of MLD factor categories was calculated using descriptive statistics. Similarly, t-tests were conducted to examine the effects of the demographic variables. The qualitative data, however, were analyzed thematically. The results reveal that the majority of the basic level schoolteachers' knowledge toward their students' MLD was inadequate and that the demographic variables had no significant effects on the teachers' knowledge of their students' MLD. Finally, the study recommends developing the managerial practices regarding the MLD issue further.

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10.12973/eu-jer.10.1.367
Pages: 367-380
cloud_download 619
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619
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689
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6

Scopus
2

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Professional teaching competence is significantly influenced by beliefs about teaching and learning. Prospective teachers start their teacher training with quite persistent beliefs about learning processes. These beliefs are mainly influenced by the way they experienced their own lessons as a student at school. Previous biology lessons at school might be linked to the imagined biology lessons of prospective teachers. We interpret these future lessons as a representation of their beliefs about teaching and learning. The present study investigated how prospective teachers remembered their previous biology lessons as well as how they imagine the lessons they will conduct in the future. The drawings of 181 prospective biology teachers in Germany (Mage = 22.1; SD = 3.6; 64.1 % female) were analyzed using the Draw-a-Science-Teacher-Test Checklist (DASTT-C). Results of the study indicate that the lessons they experienced were mainly teacher-centered, whereas the lessons they imagined were mainly student-centered. Results of a chi-square-test indicate that there is no connection between these two drawings of biology lessons. This suggests that experiences from one’s own schooling may have no connection with the way prospective teachers would like to teach in the future. The results of this study might be used as a basis for further studies examining the development of prospective biology teachers’ beliefs about teaching and learning.

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10.12973/eu-jer.10.2.799
Pages: 799-811
cloud_download 504
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504
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625
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3

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2

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Social participation represent one of the major outcomes of inclusive education. Students with additional support needs often encountered negative attitudes of social acceptance exhibited by their typically developing peers hindering their social participation in the educational context. This study explored the multicomponent structure of Portuguese children’s attitudes toward their peers with disabilities using a modified short form of the Chedoke-McMaster Attitudes toward Children with Handicaps scale (CATCH). In particular, this study aimed to (a) determine the factor structure of the CATCH and (b) evaluate the measurement invariance across age and gender. To identify the CATCH factor structure, exploratory and confirmatory factor analyses were conducted on data collected from 1,038 children aged 8–18 years. Analyses revealed that a modified short form of the CATCH consisting of a 20-item measure with a three-factor structure displayed acceptable fit and internal consistency indices. This model proved to be invariant across groups. The Portuguese-modified short form of the CATCH, in which cognitive, affective, and behavioral dimensions are represented, has acceptable psychometric properties and the potential to evaluate the effectiveness of educational programs designed to improve children’s attitudes.

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10.12973/eu-jer.10.4.1963
Pages: 1963-1972
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223
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410
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2

Scopus
1

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Numeracy is one of the essential competencies that the objectives of teaching math to primary students should be towards. However, many research findings show that the problem of “innumeracy” frequently exists at primary schools. That means children still do not feel at home in the world of numbers and operations. Therefore, the paper aims to apply the realistic mathematics education (RME) approach to tackling the problem of innumeracy, in the case of teaching the multiplication of two natural numbers to primary students. We conducted a pedagogical experiment with 46 grade 2 students who have not studied the multiplication yet. The pedagogical experiment lasted in six lessons, included seven activities and nine worksheets which are designed according to fundamental principles of RME by researchers. This is mainly a qualitative study. Based on data obtained from classroom observations and students’ response on worksheets, under the perspective of RME, the article pointed out how mathematization processes took place throughout students' activities, their attitudes towards math learning, and their learning outcomes. The study results found that students were more interested in math learning and understood the concepts of multiplication of two natural numbers.

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10.12973/eu-jer.11.1.1
Pages: 1-16
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1386
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1285
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4

The Characteristics of Mathematical Literacy Based on Students’ Executive Function

executive function mathematic mathematics literacy pisa

Dani Kusuma Y.L Sukestiyarno , Wardono , Adi Nur Cahyono


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Literacy ability is an individual's ability to reason, formulate, solve, and interpret mathematically to solve problems related to daily life. Executive function is a cognitive aspect that has a relation with mathematical literacy. One of some aspects that affects the low mathematical literacy ability is the aspect of executive function. This study aims to investigate the characteristics of mathematical literacy based on the executive function aspects of 15 years old students. A qualitative method with a descriptive approach is employed in this study. The present research applies interview guidelines, questionnaires, and students' mathematical literacy tests as the instruments. Research subjects are junior high school students in grade VIII from two different schools. The result shows that the students' executive function influences mathematical literacy ability. Students' mathematical literacy ability is not fully achieved by fulfilling all the indicators involved. Another aspect found in the research is the low critical thinking ability impacts the achievement of mathematical literacy ability indicators.

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10.12973/eu-jer.11.1.193
Pages: 193-206
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731
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850
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5

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