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'quantitative reasoning' Search Results



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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
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473
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1

Assessment of the Practices for Early Mathematics Thinking in Preschools of Pasaje City, Ecuador

preschool curriculum mathematical thinking parents’ literacy socio-economical status

Clelia Consuelo Reyes-Cedeno , Hector Ivan Rivas-Cun , Carmen Elizabeth Espinoza-Cevallos , Carlos R. Rojas-Garcia


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Preschool education is fundamental to shape children’s aptitudes and skills in early life. Ecuador is following a global education trend for starting-up mathematical thinking at earlier development ages, but this is only reflected in vehement curricular changes that are not supported properly. As a result, the safeguarding of a good children’s education appears to be lessened. This work aimed to evaluate the mathematics thinking practices in preschools of Pasaje city, Ecuador. The investigation employed a descriptive approach, hence data were collected from 65 teachers and 810 parents from public and private preschools by means of interviews and questionnaire in an attempt define some causes (teacher’s education, children’s socio-economical and family circumstances) that impair the initiation of the numerical, spatial and metric and geometric aptitudes in children. The results showed that not only preschool practices but also the home environment linked to socio-economic status appear to have positive or unfavorable influences on their children’s education.

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10.12973/eu-jer.8.4.1063
Pages: 1063-1070
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367
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708
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4

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This study investigated the development of problem-solving strategies demonstrated by 42 elementary pre-service mathematics teachers in problem-solving mathematics classes. The study used a mixed methods approach of quantitative and qualitative research by analyzing the collected data.. The quantitative portion calculates the frequencies and percentage of the participants’ responses to the problems posed in three different phases of the intervention: before, during, and after receiving the mathematics lessons. The qualitative approach was used for in-depth investigation to describe various mathematical problem-solving strategies demonstrated by participants across the three different research phases. Findings of the study indicated a limited number of problem-solving strategies present during the first phase of research such as “use arithmetic operation strategy,” and “make a drawing strategy,”. During the implementation of the problem-solving lessons and classroom discussion, the participants began to develop more strategies such as  “use logical reasoning,” “solve a simpler problem,” “guess and check,” “organize data in a table or a list,” “look for a pattern,” “work backwards,” and “solve an equation,”. However, the research findings nonetheless revealed participants’ weakness in applying the variety of skills required for success in problem solving, such as interpreting information, mathematical working, and logical thinking. Results also demonstrated a limited and incorrect use of mathematical terminology, as well as a lack of problem comprehension. The discussion of the study addresses different features and issues related to mathematical problem-solving strategies. In light of its findings, this study presents recommendations and suggestions for the future development of pre-service teachers’ problem-solving strategies.

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10.12973/eu-jer.9.1.129
Pages: 129-141
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1627
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1279
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12

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The purpose of the study was to explore how technological advances incorporated into the Philology Studies curriculum could impact the students’ research skills and the quality of their research projects and what students’ and teachers’ impressions of the reshaped research component of the curriculum were. The study used qualitative and quantitative methods with the dominance of qualitative methods. It employed the baseline study, checklist to assess students’ research papers, assessment criteria, and the Triangular Assessment Method to assess the students’ papers. The consensus meeting was held to allow the experts to express their reasoning for the scores. The semi-structured interview was administered to the students’ and teachers’ to identify their impressions of the reshaped research component of the curriculum of philology. The technological advances incorporated into Philology Studies curriculum improve the students’ research skills and the quality of their research projects. Both students and teachers appreciated the reshaped research component of the curriculum. The analytical software can be successfully incorporated in the corpus analysis-purpose student research. The students found the intervention a challenging experience that ‘pumped up’ their intellectual, research, and technical skills. They reported improvement in interpreting corpus using correlations, frequencies, distributions, and collecting information using software to organise it in a professional way. The lecturers agreed that the technology-based instructional model incorporated into Philology Studies curriculum improved both students’ research skills and the quality of their research projects.

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10.12973/eu-jer.10.2.671
Pages: 671-680
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411
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606
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4

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The article deals with mathematical literacy in relation to mathematical knowledge and mathematical problems, and presents the Slovenian project NA-MA POTI, which aims to develop mathematical literacy at the national level, from kindergarten to secondary education. All of the topics treated represent starting points for our research, in which we were interested in how sixth-grade primary school students solve non-contextual and contextual problems involving the same mathematical content (in the contextual problems this content still needs to be recognised, whereas in the non-contextual problems it is obvious). The main guideline in the research was to discover the relationship between mathematical knowledge, which is the starting point for solving problems from mathematical literacy (contextual problems), and mathematical literacy. The empirical study was based on the descriptive, causal and non-experimental methods of pedagogical research. We used both quantitative and qualitative research based on the grounded theory method to process the data gathered from how the participants solved the problems. The results were quantitatively analysed in order to compare the success at solving problems from different perspectives. Analysis of the students’ success in solving the contextual and non-contextual tasks, as well as the strategies used, showed that the relationship between mathematical knowledge and mathematical literacy is complex: in most cases, students solve non-contextual tasks more successfully; in solving contextual tasks, students can use completely different strategies from those used in solving non-contextual tasks; and students who recognise the mathematical content in contextual tasks and apply mathematical knowledge and procedures are more successful in solving such tasks. Our research opens up new issues that need to be considered when developing mathematical literacy competencies: which contexts to choose, how to empower students to identify mathematical content in contextual problems, and how to systematically ensure – including through projects such as NA-MA POTI – that changes to the mathematics curriculum are introduced thoughtfully, with regard to which appropriate teacher training is crucial.

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10.12973/eu-jer.10.1.467
Pages: 467-483
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1504
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987
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17

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15

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Considering the low achievement of Indonesian students in international studies (PISA), which measures Higher-Order Thinking Skill (HOTS) in solving the problem, improving the quality of mathematics learning in Indonesia is very important. The purpose of this research was conducted to explore the variations in students’ learning strategies and students’ Self–Regulated Learning (SRL) in solving mathematical HOT problems. The study employed a mixed-method, namely quantitative and qualitative methods were applied through five tests and seven interviews for over eight weeks. Two types of instruments were employed in this study, and they include tests and interviews. At the initial stage, we randomly selected 30 students from all those in grade 10 (Senior High School ), after which 12 were chosen purposively after the pre-test for an interview, having satisfied all complete group, middle group, and lower group. All of them were treated using metacognitive questions. Data analysis techniques used were percentage, data reduction, presentation, and conclusion. The quantitative results showed the students could generally use orientation, organization, and elaboration learning strategies as observed with 68.3%, 60%, and 56.7% for complete, middle, and lower groups. Moreover, the students were also observed to have conducted three cognitive processes in selecting the rules for solving the mathematical HOT problem, namely using models and drawing, written texts, and combining both. Furthermore, their final solution failures were affected by their misconceptions and errors in creating the mathematical model. The interview results on designing the learning procedures, monitoring the progress, and evaluating the outcomes, show that the students’ SRL level is good for complete (89.3%), middle (75%), and lower groups (60.7%).

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10.12973/eu-jer.10.2.743
Pages: 743-756
cloud_download 885
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885
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859
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3

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5

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This study aimed to analyze the Research-Based Learning (RBL) model implementation in the natural sciences in improving students’ analytical thinking skills. This study employed a mixed-method with a sequential exploratory design. Data collection began with qualitative data and then continued with quantitative data. Qualitative data collection techniques used observation and interviews, while quantitative data collection used essay tests. Sampling was carried out before the research implementation. The samples were students of the PGMI IAIN Surakarta Study Program, Indonesia, which consisted of 34 pre-service elementary school teachers. The research was conducted in the odd semester of the 2019/2020 academic year. Quantitative data analysis techniques used a quasi-experimental design with one group pretest-posttest. Based on the results of four observations on the research treatments, the mean was 3.714, in which the values of preliminary activities were 3.625, core activities were 3.714, and closing activities were 3.75, used a rating scale (1-4) with the very good category. The RBL model implementation in the natural sciences in the concept of energy can improve the analytical thinking skills of students, as evidenced by the N-gain value was 56.57%in the medium category. This increase was obtained from the mean of the pretest score (46.84) and the post-test score (76.9), by using a rating scale (0-100). The research findings provide ideas to lecturers and researchers in improving the student's analytical thinking skills through the application of innovative learning models in the topic of the concept of energy.

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10.12973/eu-jer.10.3.1051
Pages: 1051-1062
cloud_download 1105
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1105
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997
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4

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4

Eighth Grade Students’ Misconceptions and Errors in Mathematics Learning in Nepal

mathematical conceptions misconceptions in mathematics students’ errors in mathematics nepal

Mukunda Prakash Kshetree , Bed Raj Acharya , Bishnu Khanal , Ram Krishna Panthi , Shashidhar Belbase


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This paper explores misconceptions and errors (M/Es) of eighth-grade students in Nepal with a quasi-experimental design with nonequivalent control and experimental groups. The treatment was implemented with teaching episodes based on different remedial strategies of addressing students' M/Es. Students of control groups were taught under conventional teaching-learning method, whereas experimental groups were treated with a guided method to treat with misconceptions and errors. The effectiveness of treatment was tested at the end of the intervention. The results showed that the new guided treatment approach was found to be significant to address students' M/Es. Consequently, the students of experimental groups made significant progress in dealing with M/Es in mathematical problem-solving at conceptual, procedural, and application levels.

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10.12973/eu-jer.10.3.1101
Pages: 1101-1121
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1172
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953
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6

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5

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A large number of articles in the field of science education reflect on scientific literacy as the main goal of science education (SE), although often with varying viewpoints. Nevertheless, researchers have begun to highlight subject-specific teaching practices that are expected to specifically enhance science subject teaching, including biology. The main aim of this theoretical article is to come on consensus and to conceptualise the term biological literacy (BL) more clearly and to present a theoretical concept of BL, composed on the basis of systematically analysed articles. This theoretical concept includes two dimensions of BL: (1) cognitive (cognitive skills, conceptual understanding, biological inquiry) and (2) affective dimension, based on systematic literature review (SLR). This theoretical concept also includes in addition four dimensions of BL: (3) sustainability; (4) interdisciplinarity, (5) career awareness and (6) nature of biology (NOB), based on literature review (LR) of recent decades, that was conducted to write theoretical overview of this research.

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10.12973/eu-jer.10.3.1181
Pages: 1181-1197
cloud_download 1555
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1555
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1098
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4

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3

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Assessment is a topic that continues to be developed in science education research. Assessment evaluates not only students' cognitive abilities but also their thinking skills. Therefore, in this study, an assessment that could measure students' chemical literacy was developed. Chemical literacy is a thinking skill that students must develop as part of their chemistry learning. The goal of this study was to assess item' quality, as well as student’ chemical literacy on the concept of chemical rate. The Rasch model was employed to analyze the data in this study. The results of this study depict that the developed assessment had sufficient reliability and validity to be used to assess students' chemical literacy. Furthermore, the analysis of the students’ responses to the items revealed that many students did not understand or were unaware of the context presented. These findings suggest that students' chemical literacy in the material for the reaction rate is still lacking and needs to be improved. As a result, the teacher's role in assisting students in improving their chemical literacy through chemistry learning is critical.

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10.12973/eu-jer.10.4.1769
Pages: 1769-1779
cloud_download 332
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332
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684
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0

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This paper investigates the quantitative literacy and reasoning (QLR) of freshmen students pursuing a Science, Technology, Engineering, and Mathematics (STEM)–related degree but do not necessarily have a Senior High School (SHS) STEM background. QLR is described as a multi-faceted skill focused on the application of Mathematics and Statistics rather than just a mere mastery of the content domains of these fields. This article compares the QLR performance between STEM and non-STEM SHS graduates. Further, this quantitative-correlational study involves 255 freshman students, of which 115 have non-STEM academic background from the SHS. Results reveal that students with a SHS STEM background had significantly higher QLR performance. Nevertheless, this difference does not cloud the fact that their overall QLR performance marks the lowest when compared to results of similar studies. This paper also shows whether achievement in SHS courses such as General Mathematics, and Statistics and Probability are significant predictors of QLR. Multivariate regression analysis discloses that achievement in the latter significantly relates to QLR. However, the low coefficient of determination (10.30%) suggests that achievement in these courses alone does not account to the students’ QLR. As supported by a deeper investigation of the students’ answers, it is concluded that QLR indeed involves complex processes and is more than just being proficient in Mathematics and Statistics.

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10.12973/eu-jer.11.1.231
Pages: 231-242
cloud_download 1319
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1319
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1075
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2

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0

How Does Working Memory Capacity Affect Students’ Mathematical Problem Solving?

mathematical ability problem solving working memory capacity

Deka Anjariyah , Dwi Juniati , Tatag Yuli Eko Siswono


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Problem-solving process requires information processing, and the information processing is related to working memory capacity (WMC). This study aims to determine the effect of WMC on students' mathematical abilities and to describe the ability of the students with high and low WMC in solving mathematical problems. This research used mixed method with Sequential Explanatory Design. The quantitative data were collected through the provision of OSPAN tasks and math tests to 58 students aged 15-17 years, while the qualitative data were collected through interviews based on mathematical problem-solving tasks. The results showed that WMC had a significant effect on students' mathematical abilities (R=0.536; p=0.000). Researchers found differences in students' mathematical problem-solving abilities with high and low WMC. Students with high WMC can remember and manage information well which supports the determination of more advanced problem-solving strategies and have better attention control so that they find varied appropriate solutions. Students with low WMC experienced decreased attention control as the complexity of the tasks increased, missed important information in problem solving strategies, and did not recheck their work, leading to wrong solution/answer. The mathematical performance of students with high WMC outperformed the mathematical performance of students with low WMC.

description Abstract
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10.12973/eu-jer.11.3.1427
Pages: 1427-1439
cloud_download 777
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777
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547
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5

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3

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This review explores research into the effects of collaborative learning interventions on critical thinking, creative thinking, and metacognitive skill ability on biological learning. The search was conducted from 2000 to 2021. We found 36 critical thinking studies, 18 creative thinking studies, and 14 metacognitive skill studies that met the criteria. The results showed that collaborative learning influences large categories (ES=4.23) on critical thinking, influences large categories (ES= 7.84) on creative thinking, and influences large categories (ES= 8.70) on metacognitive skill. The study's findings show that collaborative learning interventions have the highest impact on metacognitive abilities. Based on these findings, we provide insights for education research and practitioners on collaborative learning interventions that seem to benefit the empowerment of high levels of thinking at various levels of education to be combined with various other interventions in the future. The type of intervention, level of education, materials used, and study quality criteria were included in the study.

description Abstract
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10.12973/eu-jer.11.3.1607
Pages: 1607-1628
cloud_download 710
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710
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738
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6

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6

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This research aims to determine second-year university students’ understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of 112 student teachers of primary teacher education program at two private universities in Indonesia were involved in this research. A qualitative method with a holistic type case study design was used in this research. The results indicate that a significant percentage of the participants could not correctly interpret and represent fractions. In terms of interpretation, it is found how language could obscure the misunderstanding of fractions. Then, the idea of a fraction as part of a whole is the most widely used in giving meaning to a fraction compared to the other four interpretations, but with limited understanding. Regarding data representation, many participants failed to provide a meaningful illustration showing the improper fraction and mix number compared to the proper fraction. Improvement of fraction teaching at universities - particularly in primary teacher education programs - is needed so that students get the opportunity to develop and improve their knowledge profoundly. We discuss implications for teaching fractions.

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10.12973/eu-jer.11.3.1747
Pages: 1747-1762
cloud_download 342
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342
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453
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2

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0

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This study was conducted following the initial stage of the transition to distance education necessitated by the onset of the COVID-19 pandemic and meeting the various challenges that came with it. At this point, countries and teachers have gained experience in preparing and delivering online education. Therefore, the study aimed to identify the beliefs of primary school mathematics teachers about teaching in synchronous virtual classrooms. It adopted a mixed methods approach, following a convergent parallel design. The overall study sample comprised 410 male and female teachers. A questionnaire was used to collect quantitative data across three dimensions (teaching efficiency, employing the philosophy of active learning, mathematical achievement). There were 31 items (verified for validity and reliability) comprising statements measured using a five-point Likert scale, together with open-ended options for further elaboration. In total, 130 teachers completed the questionnaire. Interviews were conducted with 10 teachers to collect qualitative data. The results show means in the range 3–5.75 for agreement with statements concerning the beliefs of mathematics teachers about teaching in virtual classrooms in the following order of importance: teaching competence; mathematical achievement; employing the philosophy of active learning. The study also found no statistically significant differences attributable to the variables of gender, qualification, or teaching experience, and also that many factors are considered to affect teaching in synchronous virtual classrooms related to the teacher, the family, and the student.

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10.12973/eu-jer.11.3.1763
Pages: 1763-1780
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505
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407
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A socio-scientific issue is one of the learning techniques used today, which uses various scientific sources to make students think scientifically to conduct a dialogue and discuss solving a problem. Various problems in socio-scientific are controversial, requiring reasoning, and ethical evaluation in the decision-making process. A conflict between chemical reason and students' social point of view will cause students' different assessments and attitudes towards the socio-scientific issue. This study is a research and development (R&D) that focuses on the instrument's validity with the factor analysis technique to assess attitudes towards the socio-scientific issue in chemistry learning. CFA and EFA analysis found five factors in the tool: anxiety, interests, likes, benefits, confidence, validity, and reliability. The total reliability coefficient is .853. Of the eight instrument feasibility analysis requirements, seven instruments were declared fit to meet construct validity.

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10.12973/eu-jer.11.4.1947
Pages: 1947-1958
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838
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1178
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1

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High school teachers are mentors and facilitators that must be concerned about their students' formal thinking abilities. Students may not take a conservation task seriously because they perform operations without consulting. This necessitates modifying the learning process to increase student motivation. Therefore, this study aimed to examine students' mathematical spatial literacy through project-based blended learning with the cognitive conflict strategy. The study sample comprised 129 students, including 66 and 63 in the experimental and control classes, respectively, divided into the low, medium, and high levels. The findings showed that the experimental class students using project-based blended learning with the cognitive conflict strategy had higher mathematical spatial literacy than those in the control class using problem-based learning. Project-based blended learning with the cognitive conflict strategy and problem-based learning students at the high and moderate levels differed in their ability to increase their mathematical spatial literacy. However, low-level students are comparable in their ability to increase their mathematical spatial literacy.

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10.12973/eu-jer.11.4.2031
Pages: 2031-2041
cloud_download 563
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563
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646
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2

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1

Generalization of Patterns Drawing of High-Performance Students Based on Action, Process, Object, and Schema Theory

apos generalization high-performance pattern drawing

Andi Mulawakkan Firdaus , Wasilatul Murtafiah , Marheny Lukitasari , Nurcholif Diah Sri Lestari , Tias Ernawati , Sri Adi Widodo


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This study is qualitative with descriptive and aims to determine the process of generalizing the pattern image of high performance students based on the action, process, object, and schema (APOS) theory. The participants in this study were high performance eighth-grade Indonesian junior high school. Assignments and examinations to gauge mathematical aptitude and interviews were used to collect data for the study. The stages of qualitative analysis include data reduction, data presentation, and generating conclusions. This study showed that when given a sequence using a pattern drawing, the subjects used a number sequence pattern to calculate the value of the next term. Students in the action stage interiorize and coordinate by collecting prints from each sequence of numbers in the process stage. After that, they do a reversal so that at the object stage, students do encapsulation, then decapsulate by evaluating the patterns observed and validating the number series patterns they find. Students explain the generalization quality of number sequence patterns at the schema stage by connecting activities, processes, and objects from one concept to actions, processes, and things from other ideas. In addition, students carry out thematization at the schematic stage by connecting existing pattern drawing concepts with general sequences. From these results, it is recommended to improve the problem-solving skill in mathematical pattern problems based on problem-solving by high performance students', such as worksheets for students.

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10.12973/eu-jer.12.1.421
Pages: 421-433
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378
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366
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2

The Role of Hemispheric Preference in Student Misconceptions in Biology

biology concepts hemispheric preference intuitive reasoning right hemisphere students’ misconceptions

Nektarios Lagoudakis , Filippos Vlachos , Vasilia Christidou , Denis Vavougios , Marianthi Batsila


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The various intuitive reasoning types in many cases comprise the core of students’ misconceptions about concepts, procedures and phenomena that pertain to natural sciences. Some researchers support the existence of a relatively closer connection between the right hemisphere and intuitive thought, mainly due to a notably closer relation of individual intuitive cognitive processes with specific right hemisphere regions. It has been suggested that individuals show a different preference in making use of each hemisphere’s cognitive capacity, a tendency which has been termed Hemisphericity or Hemisphere Preference. The purpose of the present study was to examine the association between hemispheric preference and students’ misconceptions. A correlational explanatory research approach was implemented involving 100 seventh grade students from a public secondary school. Participants completed a hemispheric preference test and a misconceptions documentation tool. The results revealed that there wasn’t any differentiation in the mean score of misconceptions among the students with right hemispheric dominance and those with left hemispheric dominance. These findings imply a number of things: (a) the potential types of intuitive processes, that might be activated by the students, in interpreting the biology procedures and phenomena and their total resultant effect on students’ answers, probably do not have any deep connection with the right hemisphere; (b) it is also possible that students might use reflective and analytic thought more frequently than we would have expected.

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10.12973/eu-jer.12.2.739
Pages: 739-747
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245
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276
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Preservice Teachers’ Noticing Skills in Relation to Student Misconceptions in Algebra

mathematical understanding misconceptions pedagogical content knowledge preservice teachers teacher education

Rahmah Johar , Desy Desy , Marwan Ramli , Putri Sasalia , Hannah-Charis O. Walker


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Many students have misconceptions about mathematics, so preservice teachers should be developing the skills to notice mathematical misconceptions. This qualitative study analyzed preservice teachers' skills in noticing student misconceptions about algebra, according to three aspects of noticing found in the literature: attending, interpreting and responding. Participants in this study were seven preservice teachers from one university in the capital of Aceh province, Indonesia, who were in their eighth semester and had participated in teaching practicums. Data was collected through questionnaires and interviews, which were analyzed descriptively. The results revealed the preservice teachers had varying levels of skill for the three aspects of noticing. Overall, the seven preservice teachers' noticing skills were fair, but many needed further development of their skills in interpreting and responding in particular. This university’s mathematics teacher education program should design appropriate assessment for preservice teachers’ noticing skills, as well as design and implement learning activities targeted at the varying needs of individual preservice teachers regarding noticing student misconceptions, in order to improve their overall teaching skills.

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10.12973/eu-jer.12.2.865
Pages: 865-879
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