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

' mathematical thinking' Search Results

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The industrial revolution era 4.0 has now become a major topic in every country. Various sectors respond quickly to this problem, including education. In response to this, there are several aspects of skills that students must master. One of them is problem-solving skills. One of the aspects that influence the students’ problem-solving skills is the context and problem-based learning model. The purpose of this study is to describe the effect of the model on students' skills to solve physics problems. The research method used is a quasi-experimental research design with non-equivalent control group design. The data analysis technique used Independent Sample T-Test by PASW 18 with a significance 5%. Based on the results of the Independent Sample T-Test can be concluded that there is an effect on the model that was applied with a significant gain of 0,00. The results showed that the context and problem-based learning (C-PBL) model affected the physics problem-solving skills. The C-PBL model is able to improve the students’ physics problem-solving skills, communication skills, the students’ confidence in learning, as well as improving students’ understanding of physics lessons conceptually.

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10.12973/eu-jer.8.4.1217
Pages: 1217-1227
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37

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34

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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.

description Abstract
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10.12973/eu-jer.9.1.129
Pages: 129-141
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1879
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2057
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15

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12

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

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

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35

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.

description Abstract
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10.12973/eu-jer.9.1.215
Pages: 215-225
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745
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1138
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6

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7

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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2144
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3774
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48

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40

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
cloud_download 1554
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1554
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2218
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4

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4

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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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1129
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2043
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12

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14

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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
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969
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1442
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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 1255
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1255
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1968
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24

Scopus
10

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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10
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1001
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1310
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10

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6

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
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1258
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1708
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9

Scopus
9

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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.

description Abstract
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10.12973/eu-jer.9.2.753
Pages: 753-764
cloud_download 3652
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3652
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3217
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15

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11

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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 1067
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1067
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1506
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3

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3

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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.

description Abstract
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10.12973/eu-jer.9.2.865
Pages: 865-875
cloud_download 1294
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1294
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1678
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10

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12

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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 1458
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1458
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2241
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22

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13

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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
cloud_download 1096
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1096
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1529
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13

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12

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
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973
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1319
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4

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6

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 599
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599
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1064
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0

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1

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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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3020
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47

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29

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This study aims to investigate students’ attitudes towards e- book use, and its relationship to self-efficacy and academic motivation in Omani higher education institutions. The sample of the study, which was chosen based on the stratification random method, consisted of 200 students from both genders and different colleges and academic years. To achieve the aims of the study, a descriptive correlational approach was adopted using attitudes, academic motivation and self-efficacy scales developed by the researchers, and administered to the study sample after assessing their psychometric properties. Findings show generally a positive significant correlation between students’ attitudes towards e-book use, self-efficacy, and academic motivation.

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10.12973/eu-jer.9.3.1167
Pages: 1167-1176
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1719
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1665
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8

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5

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