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'mathematical education' Search Results

Psychometric and Structural Evaluation of the Physics Metacognition Inventory Instrument

psychometric evaluation physics metacognition inventory problem solving

Haeruddin Haeruddin , Zuhdan Kun Prasetyo , Supahar Supahar , Elisa Sesa , Gazali Lembah


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The purpose of this study is to evaluate the psychometric and structural instruments of the Physics Metacognition Inventory (PMI) developed by Taasoobshirazi, Bailey, and Farley (2015). The PMI consists of 26 items in six factors. The English and Indonesian versions were tested on an English course (N = 37) in the Geophysics study program at Tadulako University. The trials were conducted separately within a two-week interval. The data collected from 364 students of the Physics Education Department, University of Tadulako were analyzed using the Exploratory Factor Analysis (EFA). Later, data were collected from 351 students of some Indonesian universities which have physics education study programs, and the data were analyzed using the Confirmatory Factor Analysis (CFA). The EFA result reveals six factors based on the rotation result with the maximum loading factor. The CFA result shows the RMSEA values of .018, 2 (284) = 316.32 (χ2 / df = 1,11), GFI = .93, CFI = .99, AGFI = .92 and NFI = .93 which meet the cut-off statistic value, and therefore, the model is considered fit, with the Construct Reliability Estimation (CR) of .93, Composite Reliability of  = .95, and maximum reliability of Ω = .96. The results obtained reveal that the PMI scale has good, valid and reliable psychometric properties. Therefore, PMI can be used to measure the level of metacognition of students when solving physics problems. Future studies using PMI are also discussed.

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10.12973/eu-jer.9.1.215
Pages: 215-225
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856
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6

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7

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This research study presents the PGBE model for teaching and learning percentages with students of Grade 7 when their cognitive development enables the conceptual understanding of percentages as proportional statements, and offers the possibility for more effective matching of them with fractions and decimal numbers. The abbreviation PGBE presents the interrelation of the poster method and three instructional models through which different types of students’ mathematical knowledge about percentages can be built. Hence, P stands for the poster method through which the recognition of students’ previous knowledge about percentages can be done, G represents different grids that can be used for building concrete type of knowledge about them; B signifies the bar model for developing students’ proportional understanding of percentages, and E represents the extended bar model for fostering students’ principled-conceptual understanding of percentages. The effectiveness of the implementation of the PGBE model is assessed by organizing two cycles of piloting and conducting the experimental method with 263 students of ten Grade 7 classes. The results of the study show that the implementation of the PGBE model has had an impact on the learning of students, stimulating an in-depth learning and a long lasting knowledge about percentages for this cohort of students.

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10.12973/eu-jer.9.1.257
Pages: 257-276
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839
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7614
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6

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6

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

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10.12973/eu-jer.9.1.331
Pages: 331-349
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1834
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3701
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22

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36

The Effectiveness of Problem Based Learning and Aptitude Treatment Interaction in Improving Mathematical Creative Thinking Skills on Curriculum 2013

problem based learning aptitude treatment interaction creative mathematical thinking skills

Ruhban Maskur , Sumarno , Yasinta Rahmawati , Kenny Pradana , Muhamad Syazali , Ari Septian , Endah Kinarya Palupi


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The development of the revolution era 4.0 which increasingly rapidly demands the wider community to have the ability to think creatively mathematically. One effort to improve the ability to think creatively is through quality education. Quality education can be improved through to train thinking using the right learning model. This study aims to see which results are more effective in improving students' thinking skills between the two learning models applied. The two models are Problem Based Learning (PBL) and Aptitude Treatment Interaction (ATI) models. This research method uses quasi experimental method with a posttest only control test design not control group. This study uses two group subjects with two experimental classes. The analysis of the data used the hypothesis testing of the non-correlated 2-sample t-test. Based on the research results obtained Aptitude Treatment Interaction (ATI) models have a better effect on students' creative thinking abilities compared to Problem Based Learning (PBL) models.

description Abstract
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10.12973/eu-jer.9.1.375
Pages: 375-383
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2471
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5528
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55

Scopus
45

Development and Validation of Open Ended Based on Worksheet for Growing Higher Level Thinking Skills of Students

worksheet open ended higher order thinking skills

Abdurrahman , Sunaryo Romli , I Wayan Distrik , Kartini Herlina , Rofiqul Umam , Rahmi Ramadhani , Sri Sumarni


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This research aims to develop open ended-based worksheet in improving students' high-level thinking skills on static fluid materials. The method used in this research is Research and Development (R&D) with 3 steps namely, the initial stage, then the design and development of the product, and finally the product testing. The data analysis technique for product effectiveness is with the main field trials, namely (1) N-gain analysis, (2) paired t-test, (3) ANCOVA, and finally (4) effect size test. From the test results obtained information that conducted 10 students showed the results of the development worksheets obtained the average worth of development products by 90% this value is included in the very high category, while the student response of the average of 88% and also the readability response of 89% in the very high category. In the results of the n-gain analysis also show the value is0.70, that mean medium category. From the results of this study, it can be concluded that worksheets based on open ended can improve students' higher-order thinking skills. So, in further development we suggest that open ended-based on worksheet is not only applied to static fluid material, but also in other materials.

description Abstract
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10.12973/eu-jer.9.2.445
Pages: 445-455
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1651
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2914
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5

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5

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Achieving educational goals is based on the skills and competence of teachers; therefore, professional development of teachers is important to policy and decision-makers. Worldwide, the percentage of teachers who leave the profession within their first years of teaching is high therefore, professional support is essential to ease on their integration. Previous research indicates a positive and significant correlation between teachers' self-efficacy and their attitudes toward the teaching profession. Our study included three hypotheses: 1) teachers' pedagogical applications serve as mediators for the relationship between teachers' self-efficacy and their attitudes toward the profession; 2) participating in a professional development school (PDS) training program interacts with teachers' self-efficacy in predicting their attitudes toward the profession; and, 3) participation in a PDS training program will positively affect the two variables. A close and open-ended questionnaire was replied by 300 novice teachers, some of whom participated in the PDS program and others who did not. Findings indicate that the relationship between teachers' sense of self-efficacy and their attitudes towards the teaching profession was partially mediated by: applying constructivist pedagogical practices; matching to differences between learners; collaboration between fellow teachers; accountability; planning and teaching management; and academy-community relationships. Participation in a PDS program was not found as a moderator variable for this relationship, but novice teachers who participated in this program had a significant higher sense of self-efficacy and more positive attitudes towards the teaching profession. Findings are important for designing novice teacher training programs with an emphasis on the implementation of specific pedagogical practices.

description Abstract
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10.12973/eu-jer.9.2.457
Pages: 457-469
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1151
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2552
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9

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10

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This research aims to find out: (1) the more effective learning model on students' divergent-thinking skills; (2) the better adversity quotient on students' divergent-thinking skills; (3) the better adversity quotient to improve students' divergent-thinking skills in each learning model; and (4) the better learning model to improve students' divergent-thinking skills in each adversity quotient. This research uses a quantitative approach with a quasi-experimental type. The fifth-grade students were selected as the research subjects. This research was carried out at the public elementary schools in Laweyan District, Surakarta, Indonesia. Test and questionnaire techniques were used to collect data. The data analysis was performed with the analysis prerequisite, hypothesis, and multiple-comparison tests. The results showed that the learning model and adversity quotient have an influence on divergent-thinking skills; for each adversity quotient, the thinking actively in a social context learning model is better than the creative problem solving and direct instruction learning model; the creative problem solving learning model is better than the direct instruction learning model; and adversity quotient of the climbers is better than that of the campers and the adversity quotient of the campers is better than that of the quitters in each learning model.

description Abstract
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10.12973/eu-jer.9.2.537
Pages: 537-568
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1241
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3090
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14

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23

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This study aims to investigate the impact of using a LEGO Education program, specifically the “MoreToMath” kit, on the achievement of Deferent Levels of Elementary Students. The quantitative research design was used in this research study, and the participants were comprised of 120 elementary school students in the 2nd grade, in Amman, Jordan. A quasi-experimental research method and the MANCOVA were used, and a study tool to measure achievement was developed by the researcher for which the validity and reliability of achievement were verified. The results of the study show that there was a statistically significant improvement (α ≤0.05) in the achievement of the experimental study group, that studied using LEGO education, over the control group. There is also a statistically significant difference (α ≤ 0.05) between the arithmetic means of the three sub-groups of students’ previous achievement levels— high, middle, and low— and by using the Least Significant Differences (LSD) test we notice that there are significant differences between the high and low sub-groups, as well as between the middle and low. However, that there are no significant differences between the high and middle level sub-groups; and there is also no statistically significant interaction between the groups (experimental, control) and the levels of pre-achievement seen in the post-achievement levels. The study results indicate that the use of new technological tools, like the “MoreToMath” kit, may be beneficial in teaching mathematics as they tend to motivate students, and can lead to higher achievement for elementary students of different mathematics aptitude levels.

description Abstract
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10.12973/eu-jer.9.2.603
Pages: 603-610
cloud_download 1051
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1051
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2095
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4

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3

South Kalimantan Local Wisdom-Based Biology Learning Model

biodiversity material biology learning tools south kalimantan local wisdom

Siti Ramdiah , A. Abidinsyah , Muhammad Royani , H. Husamah , Ahmad Fauzi


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The objectives of this study were to analyze the validity, practicality, and effectiveness of South Kalimantan local wisdom-based biology learning and its effect on student learning outcomes. The research method used is research and development. This research was in a Develop stage of Thiagarajan’s Model. This development has produced learning models (lesson plans, student’s worksheet, learning achievement test questions, teacher activity sheets, student activity sheets, and student response sheets). The local wisdom-based learning model were designed with seven stages using Banjar language (regional language of South Kalimantan). Model that have been developed were tested for the level of validity, practicality, effectiveness, and its effect in learning. The level of validity is determined based on the assessment and review of the four validators. To find out the effectiveness and the effect of the learning model, quasi-experimental design was applied by involving two classes at SMAN 7 Banjarmasin-Indonesia. Data were collected using a variety of instruments, namely the validity assessment sheet, the student’s worksheet and lesson plan sheets, student achievement test questions, and student response sheets. Data analysis was implemented to measure the effectiveness and the effect of learning by calculating n-Gain and ANCOVA, respectively. The results, the learning tools met the "valid" criteria so that it can be implemented. Learning also concluded having good practicality criteria. Moreover, it can be seen that the application of local wisdom-based learning model and tools was quite effective in improving student learning outcomes, in contrast to learning in the control class. Furthermore, ANCOVA test concluded that there were significant differences in learning outcomes between students in the experimental and the control class.

description Abstract
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10.12973/eu-jer.9.2.639
Pages: 639-653
cloud_download 1387
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1387
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2884
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27

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21

The Effects of the ECIRR Learning Model on Mathematical Reasoning Ability in the Curriculum Perspective 2013: Integration on Student Learning Motivation

ecirr mathematical reasoning ability student learning motivation

Agus Pahrudin , Nur Ahid , Syamsul Huda , Nita Ardianti , Fredi Ganda Putra , Bambang Sri Anggoro , Watcharin Joemsittiprasert


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This study aims to determine the impact of the ECIRR(Elicit, Confront, Identify, Resolve, Reinforce) learning model on students' mathematical reasoning abilities in terms of student motivation. The research method used was a quasy-experimental method with a post-test only control design research design. The population of this study was all students in five classes XII Private School. The Samples were taken at class XII AP-2 and XII MM-1 as the experimental class, and class XII AP-1 and XII MM-2 as the control class. The data analysis technique used is hypothesis testing using ANAVA 2 paths. Based on the research results obtained that (a) There is an influence of the ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) learning model on mathematical reasoning abilities. (b) There is an influence of student learning motivation on mathematical reasoning abilities. (c) There is no interaction between the treatment of learning models and categories of students' learning motivation towards mathematical reasoning abilities. So as a whole it can be concluded that the ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) learning model influences the ability of mathematical reasoning and can increase students' learning motivation.

description Abstract
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10.12973/eu-jer.9.2.675
Pages: 675-684
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1206
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2080
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12

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9

The Impacts of Mathematics Instructional Strategy on Students with Autism: A Systematic Literature Review

mathematics instructional design autism spectrum disorder systematic literature review

Nur Choiro Siregar , Roslinda Rosli , Siti Mistima Maat , Aliza Alias , Hasnah Toran , Kannamah Mottan , Siti Muhibah Nor


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Mathematics is one of the most challenging subjects for many students. A similar problem is faced by special needs students, such as students with Autism Spectrum Disorder (ASD). Various instructional strategies are implemented by specialists to help ASD students understand mathematics in schools. To explore the impacts of an instructional strategy of mathematics on ASD students, the authors conducted a review of literature from 2011 to 2017 using various databases including ProQuest Digital Dissertations and Theses Full Text, Google Scholar, and Science Direct. A total of 39 articles were found. Most of the instructional strategy aimed to assist ASD students in solving mathematics problems. The implications of the study are also discussed in this literature review, which indicates that teachers need to use the appropriate instructional strategy to meet the needs of students with ASD and maximize their mathematics learning outcomes in schools.

description Abstract
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10.12973/eu-jer.9.2.729
Pages: 729-741
cloud_download 1733
visibility 3118
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1733
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3118
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8

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4

The Effect of SSCS Learning Model on Reflective Thinking Skills and Problem Solving Ability

sscs learning model mathematical reflective thinking ability mathematical problem solving ability

Muhamad Yasin , Jamal Fakhri , Siswadi , Rahma Faelasofi , Ahmad Safi’i , Nanang Supriadi , Muhamad Syazali , Ismail Suardi Wekke


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This study aims to determine the effect of the application of the Search, Solve, Create, and Share (SSCS) learning model to the mathematical reflective thinking skills and the students' mathematical problem-solving abilities. This research is a type of Quasi-Experimental Design research with a 2x2 factorial research design. Data collection techniques in this study in the form of documentation and tests at Private school in Bandar Lampung with 28 students of experiment classes and 28 students of control classes. Data analysis techniques used are the normality test and homogeneity test. Testing the hypothesis in this study using the Multivariate Analysis of Variance (MANOVA) test. Based on the results of the study, The calculation of the MANOVA test, it was concluded that there was an influence on the application of the SSCS learning model to students' mathematical reflective thinking skills. The application of the SSCS learning model to the mathematical reflective thinking ability has an influence percentage of 91.9%. The application of the SSCS learning model to mathematical reflective thinking skills and mathematical problem solving abilities has a relatively high level of effectiveness.

description Abstract
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10.12973/eu-jer.9.2.743
Pages: 743-752
cloud_download 1368
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1368
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2738
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11

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14

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Problem-solving and mathematical communication are essential skills needed by students in learning mathematics. However, empirical evidence reports that students’ skills are less satisfying. Thus, this study aims to improve students’ problem-solving and mathematical communication skills using a Metacognitive-Based Contextual Learning (MBCL) model. A quasi-experimental non-equivalent control group design was used in this study. The participants were 204 fifth-grade students; consisting of experimental (n = 102) and control (n = 102) groups selected using convenience sampling. This study was conducted in four Indonesian elementary schools in the first semester of the academic year 2019/2020. The Problem-Solving Skills Test (PSST) and Mathematical Communication Skills Test (MCST) were used as pre- and post-tests. In order to analyze the data, one-way ANOVA was used at the 0.05 significance level. The results showed that students in the experimental group had higher post-test scores than the control group in terms of problem-solving and mathematical communication skills. It can be concluded that the MBCL effectively promotes fifth-grade students’ problem-solving and mathematical communication skills. Therefore, it is suggested that MBCL should be used more frequently in primary school mathematics to further improve students’ problem-solving and mathematical communication skills.

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10.12973/eu-jer.9.2.753
Pages: 753-764
cloud_download 3811
visibility 4618
16
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3811
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4618
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16

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14

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Research on critical thinking skills has been frequently carried out, but it has not shown maximum results. This problem is exacerbated by the differences in pre-service teachers’ academic abilities. A new learning model that can improve pre-service teachers’ critical thinking skills and reduce the gap in critical thinking skills among the upper, middle, and lower academic ability pre-service teachers is needed. This research aims at exploring the potential of the QASEE learning model on the critical thinking skills of different academic ability. This quasi-experimental research involved 107 pre-service teachers of Universitas Islam Negeri Raden Fatah, Indonesia. The research classes were divided into three classes, namely the QASEE class (experimental class), the RQA class (positive control class), and the conventional class (negative control class). Each class was further divided into upper, middle, and lower academic categories. The data were collected using an essay test supported by a critical thinking skill rubric. The data were analyzed by using ANCOVA and followed by LSD test. The research results show that the QASEE (Questioning, Answering, Sharing, Extending, and Evaluating) learning model can improve and equalize the critical thinking skills of pre-service teachers with various academic levels. Thus, the QASEE learning model can be used as a new reference to improve pre-service teachers’ critical thinking skills, especially the lower academic ability.

description Abstract
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10.12973/eu-jer.9.2.853
Pages: 853-864
cloud_download 1134
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1134
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2183
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5

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7

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This study aims to design mathematical literacy instruments that have evidence of content and construct validity and are reliable for use as an Assessment for Learning. The research involved eight experts as instrument validators and 273 eighth-grade students of junior high school in Yogyakarta Province. The results showed that the ten mathematical literacy items developed had the V Aiken coefficient index calculated from 0.781 to 0.906 (> 0.75). The results of adequacy testing of samples with KMO and Bartlett show Chi-Square in the Bartlett test of 608,608, the p-value <0.05 and KMO value of 0.781 (> 0.5). The results of testing of the measurement model with Confirmatory Factor Analysis (CFA) produce a Root Mean Square Error of Approach (RMSEA) value of 0.049 (≤ 0.08), chi-s Square of 33.92 (<2df), the p-value of 0.05004 (≥ 0.05). Nine out of the ten items developed had t-value> 1.96, Standardized Loading Factor (SLF) was greater than the critical limit (> 0.3), and Construct Reliability (CR) of 0.78 (> 0.7). It can be concluded that the developed mathematical literacy instrument can measure what must be measured and nine items significantly reflect the construct or latent variable, as well as the level of consistency of a good score.

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10.12973/eu-jer.9.2.865
Pages: 865-875
cloud_download 1447
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1447
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2461
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11

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16

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Learning models that can improve critical thinking, skills collaborate, communicate, and creative thinking are needed in the 21st-century education era. Critical and creative thinking are the two essential competencies of the four skills required in the 21st century. However, both are still difficult to achieve well by students due to a lack of thinking skills during mathematics learning. This study was conducted to determine the model of learning that is appropriate to develop students' critical and creative thinking skills. The study used three-class samples from eighth grade. The first class is given the problem-posing lesson; the second class is given contextual learning and third class as a control class. The results of the study indicate that improving students' critical and creative thinking skills are included in the moderate category for types using contextual learning and problem-posing. Also, it is found that contextual learning is more effective for improving critical thinking skills when compared with learning problem posing and expository learning. Meanwhile, learning problem posing is more useful to enhance creative thinking skills compared with contextual and expository learning.

description Abstract
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10.12973/eu-jer.9.2.877
Pages: 877-887
cloud_download 1604
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1604
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3512
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29

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24

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This research aims to test (1) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on written mathematical communication skills, (2) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication skills, (3) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on the written mathematical communication skills from each cognitive style, and (4) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication skills from each learning model. This quantitative research employed a quasi-experimental method. The research sample consisted of 240 fifth-grade elementary school students in Jebres District, Surakarta, Indonesia. Data collection techniques included tests of written mathematical communication skills and cognitive styles. The data were analyzed using prerequisite (normality, homogeneity, and balance), hypothesis, and multiple-comparison tests. The findings prove that (1) PP model with Indonesian realistic mathematical education approach is more effective than the PP and direct instruction models, (2) field-independent cognitive style is better than field dependent, (3) PP with Indonesian realistic mathematical education is as effective as the PP model, but more effective than the direct instruction model, and the PP model is more effective than the direct instruction model in each cognitive style, and (4) in the PP learning model with Indonesian realistic mathematical education approach, field-independent cognitive style is same skill as with field-dependent, but field-independent is better than field-dependent cognitive style in the PP and direct instruction learning models.

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10.12973/eu-jer.9.3.979
Pages: 979-994
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15
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1215
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2442
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15

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16

The Effect of Principals’ Leadership towards Effective Learning at an Indonesian Secondary School

leadership effective learning principals leadership

Ristapawa Indra , Martin Kustati , Antomi Saregar , Warnis , Nelmawarni , Yunisrina Qismullah Yusuf


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The study aims to investigate the evaluation model of professional leadership and the characteristics of successful principals at an Indonesian secondary school. It is to further realize the effective learning and to produce instruments that meet the validity and reliability tests. It also aims to discover the correlation and the significance of the independent variables on the dependent variables, and the percentage of influence on the indicators in shaping the model of principals’ leadership. Quantitative data were obtained by distributing questionnaires to 100 students. The number of respondents was determined using a simple random sampling technique. The research findings showed that there was a significant correlation among the principals’ leadership, characters, and effective learning. It indicated that leadership evaluation influenced the school leadership and the principals’ characters on effective learning. The results of the measurement on formative relationships showed that the indicators of behaviour and actions of school principals who manage the teachers to conduct learning activity seriously in the classroom became a determining factor in shaping the effective learning paradigm in secondary schools.

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10.12973/eu-jer.9.3.1063
Pages: 1063-1074
cloud_download 1054
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1054
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1899
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4

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10

Virtual Mathematics Kits (VMK): The Value of Spatial Orientation on It

spatial orientation virtual mathematics kits digital media extracurricular activities

Lingga Nico Pradana , Cholis Sa’dijah , I Made Sulandra , Sudirman , Octarina Hidayatus Sholikhah


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The purposes of the current study were to develop students' spatial orientation skills using Virtual Mathematics Kits (VMK) and to evaluate VMK as a form of digital media in terms of spatial orientation. This study involved 42 lower-class and 47 higher-class elementary school students as the intervention group and 36 lower-class and 41 higher-class students as the control group. The intervention group was administered spatial orientation activities for 10 weeks. These activities were performed using a VMK to facilitate solving spatial problems. In the end of activities, spatial orientation instruments administered to compare spatial orientation ability on each group. The findings of this study, spatial orientation activities using a VMK improved students' spatial orientation skills. More specific, VMK provides more significant effect on higher-class students. Finally, VMK allows students to explore many ideas and perspectives to solve various spatial problems. VMK can be used as a digital media that helps students to develop spatial reasoning.

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10.12973/eu-jer.9.3.1105
Pages: 1105-1114
cloud_download 663
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663
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1627
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2

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2

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The ability to think critically and creatively is essential for students to be able to face the challenges of the industrial revolution 4.0. Lectures must be designed to enhance students’ critical and creative thinking skills. This study aims to examine the implementation of problem-based learning in learning management information systems courses to improve students critical and creative thinking skills. The research design carried out was classroom action research. The subject in this study was students of Economics Education, Faculty of Economics, Universitas Negeri Semarang. The research was conducted in April-May 2019. The procedure for implementing class action research are two cycles (plan, action, observation, and reflection). The research data was taken by observation and interview methods. The data analysis method used is descriptive quantitative and qualitative methods. The results showed that two class action research cycles were well implemented. The application of the problem-based learning method can improve students’ critical and creative thinking skills. Students are able to solve a given case by doing the right analysis and being able to provide alternative solutions. Students consider the learning process to be more exciting and challenging. Students can express their opinions well in front of the class. The implication of this research is that lecturers can apply PBL with various combinations of learning strategies to improve students' critical and creative thinking skills.

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10.12973/eu-jer.9.3.1141
Pages: 1141-1150
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3316
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54

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58

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