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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 understanding' 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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1416
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35

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34

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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.

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10.12973/eu-jer.9.1.143
Pages: 143-163
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1890
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1926
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28

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35

Emotional Intelligence of Elementary Scholar: Instructional Strategy and Personality Tendency

students' emotional intelligence elementary school students' learning strategies students' personality types

Nilawati Tadjuddin , Robingatin Robingatin , Meriyati Meriyati , Eti Hadiati , Rifda El Fiah , Ahmad Walid , Widayanti Widayanti


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Each child has a different personality type of tendency. Personality type is closely related to emotional intelligence. Through this study, we report the analysis results of the effects of personality type tendencies and the application of learning strategies in controlling the emotional intelligence of elementary school students. This study uses the quasi-experimental method with a 2x2 factorial design in data collection. Data analysis used was a two-way analysis of variance (ANOVA) test. Research findings show that students with extrovert tendencies personality are better than students with introvert personality types. The application of inquiry strategies in learning is better at controlling emotional intelligence than the application of expository strategies.

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10.12973/eu-jer.9.1.203
Pages: 203-213
cloud_download 825
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825
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1055
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4

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1

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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
cloud_download 700
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700
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1465
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6

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5

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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1883
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2056
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47

Scopus
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 1444
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1444
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1681
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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.

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10.12973/eu-jer.9.2.537
Pages: 537-568
cloud_download 979
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979
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1501
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10

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14

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
cloud_download 883
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10
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883
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895
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10

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6

Developing MeMoRI on Newton’s Laws: For Identifying Students’ Mental Models

memori-nl mental models instrument newton's laws students' mental models

Nuzulira Janeusse Fratiwi , Achmad Samsudin , Taufik Ramlan Ramalis , Antomi Saregar , Rahma Diani , Irwandani , ,


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The identification of students’ mental models is crucial in understanding their knowledge of scientific concepts. This research aimed to develop a Mental Models Representation Instrument on Newton's Laws (MeMoRI-NL). The ADDIE (Analyzing, Designing, Developing, Implementing and Evaluating) model was used as a research method. The sample consisted of 30 students of 15-16 years-old at one of senior high school in Tatar Pasundan. The data was examined using Rasch analysis on validity, reliability, level of difficulty, and distributions of students’ mental models. Students’ mental models were classified as Scientific (SC), Synthetic (SY), Synthetic almost Misconception (SYM), and Initial (IN) model. Based on the evaluating stage, students’ mental models are mostly in the SYM and IN model. Consequently, it can be concluded that the Mental Models Representation Instrument on Newton's Laws (MeMoRI-NL) can be developed using the ADDIE model and most of the students' mental model has not been following scientific knowledge. Based on this research, teachers or educators should enhance students' mental models, especially for female students.

description Abstract
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10.12973/eu-jer.9.2.699
Pages: 699-708
cloud_download 636
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636
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890
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11

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14

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.

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10.12973/eu-jer.9.2.743
Pages: 743-752
cloud_download 1141
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9
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1141
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1113
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9

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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 3497
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13
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3497
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1889
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13

Scopus
11

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There is a national trend on the declining percentage of school performance in the Certified Public Accountant (CPA) Licensure Examination in the Philippines. This report aims to present the result of this licensure exam in regional level between private and public schools. Quantitative descriptive type of research was utilized in the study using documentary analysis from the result of the Licensure Examination including almost 415 accountancy schools in the country with first takers. Results showed that large number of examinees did not contribute much to increase the record of passing percentage of a certain region but instead it pulls down the passing rate. Public schools in eight (8) regions of the country have significantly higher passing rate than private HEIs. Private HEIs had been consistent in terms of having higher percentage of institutions with zero percent performance rating among first takers. However, private universities produced more top performing examinees than other private colleges and public schools in the country. Findings of the study may provide insights to educational leaders in ensuring the quality on the delivery of instruction through maintaining qualified teachers with relevant knowledge and competencies necessary to prepare the accountancy graduates for licensure examination.

description Abstract
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10.12973/eu-jer.9.3.995
Pages: 995-1007
cloud_download 8902
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8902
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3625
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2

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2

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This study was to support the understanding of the set structure, binary operations, and their properties as a prerequisite of group theory material categorized as 9 structure senses. This study aimed at investigating the process of students’ structure sense in recognizing the structure of mathematical properties or objects as a prerequisite of group theory material. A task-based case study by exploring 9 categories of structure senses through three integrated process frameworks in the questionnaire was employed in this study. It involved 26 students who had obtained a prerequisite of group theory material and would take abstract algebra course. The choice of subjects was determined based on the results of the questionnaire, in which it identifies the type of structure sense processes. There were 6 out of 26 subjects were chosen. The 6 subjects consisted of 2 subjects from the first path process, 2 subjects from the second path process, and 2 subjects from the third path process. Then, the 6 subjects were interviewed. The choice of 2 subjects for each path process was because it used a fixed comparison theory. Then, the data were validated by using triangulation methods by comparing the students’ work on assignments and questionnaires as well as audio recordings of interviews. The results show the tendency of the process of structure sense was more dominated by students from the second type of path process, in which the subjects still depend on the well-known structure of the properties or mathematical objects in the form of sample questions. The subjects were unable to understand definitions in order to construct structures of properties or mathematical objects.

description Abstract
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10.12973/eu-jer.9.3.1047
Pages: 1047-1061
cloud_download 308
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308
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652
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2

Scopus
5

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 523
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523
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750
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0

Scopus
1

Primary School Students’ Creative Thinking Skills in Mathematics Problem Solving

mathematics problem solving creative thinking primary students

Erna Yayuk , Purwanto , Abdur Rahman As’ari , Subanji


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This study aims to analyze students’ creative thinking skills in answering the problem-solving questions. This study employs qualitative design, involving 110 fifth graders in Malang Municipality and Regency as the subjects. The obtained data were analyzed using the descriptive-explorative approach. The findings reveal that the high-achievers in Mathematics showed good skills in the aspects of fluency and flexibility, but were still struggling in the novelty aspect.  The average-achievers showed good skills in flexibility aspects but were lacking in the fluency and novelty aspects. They showed an understanding of Mathematics problems but found it difficult to decide the solving strategies, and thus their answers were lacking in structure and less systematic. When solving a problem, the calculation made seemed rushing, was less careful, and frequented with trial and error strategy. The low-achievers showed difficulties in understanding the problems. Their answers were not systematic, not well-structured, and not detailed. This indicates that the low-achievers had not shown creative thinking skills in fluency, flexibility, and novelty aspects.

description Abstract
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10.12973/eu-jer.9.3.1281
Pages: 1281-1295
cloud_download 1464
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1464
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1436
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20

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15

Misconceptions in Rate of Reaction and their Impact on Misconceptions in Chemical Equilibrium

impact misconception rate of reaction chemical equilibrium

Jusniar Jusniar , Effendy Effendy , Endang Budiasih , Sutrisno Sutrisno


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Descriptive correlational research was conducted to discover misconceptions on Rate of Reaction (RR) that impact on Chemical Equilibrium (CE) misconceptions. This research was conducted to 245 eleventh-grade students of High School in Gowa, South Sulawesi, Indonesia, that have been studied the RR and CE topics. Misconceptions data were collected using three-tier tests and semi-structured interviews. The data were analyzed using descriptive and correlational analysis. Description of RR misconceptions that impact on CE misconceptions are determined with the percentage of students who consistently experience misconceptions about RR and CE. There were six misconceptions in RR that have an impact on CE, which are: Misconceptions related to changes in the reaction rate with time; The effect of temperature on the rate of reaction; The effect of adding catalysts to the activation energy; and the mathematical affect relating to the rate of reaction and number of moles. Misconceptions in RR and CE have 0.39 correlation coefficient, based on Spearman's formula. These results indicate that the impact of misconception in RR on CE is moderate. This study suggests that education practitioners should eliminate the misconception of prerequisite concepts before teaching the next related concepts.

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10.12973/eu-jer.9.4.1405
Pages: 1405-1423
cloud_download 2607
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2607
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1971
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11

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6

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This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things that are fundamental and essential from the ZPD and ZPC phenomena. Researchers observed mathematics learning by a teacher on 24 fourth-grade students who were divided into groups A (high IQ) and B (low IQ). Data collection through tests, observation, and interviews. While the validity of the data is done through triangulation of methods and triangulation of sources. The results showed that students of the Upper (A) group had high IQ but small ZPD and ZPC. In contrast, students in the Lower (B) group have low IQ but large ZPD and ZPC. This result means that intelligence (IQ) is measured not only logically-mathematically but also in the verbal-linguistic and spatial-visual fields. The conclusion is that there are differences in the construction of students' knowledge in the learning zone. This difference occurs because the knowledge constructs that the students have previously had an effect on the accommodation process of the schemes that students have built while in the proximal development zone (ZPD) where scaffolding works. Meanwhile, the potential construction zone (ZPC) is not sufficient to describe the real development of students. However, it only reflects what students have accomplished.

description Abstract
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10.12973/eu-jer.10.1.341
Pages: 341-351
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1026
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932
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13

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14

Mathematical Connection Process of Students with High Mathematics Ability in Solving PISA Problems

gender mathematical ability mathematical connections problem solving

Baiduri Baiduri , Octavina Rizky Utami Putri , Ikrimatul Alfani


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The aim of this study is to analyze and explain the mathematical connection process for students with a high mathematical ability to solve problems in terms of gender. Explorative descriptive research with a qualitative approach was used in this study. Data was collected through written tests and interviews conducted to a male and female student of class X Mathematics and Natural Sciences with high mathematical abilities. Data credibility is obtained through triangulation of methods and time. Furthermore, the data are analyzed with a flowchart which includes data reduction, data presentation, and conclusion drawing. The results showed that there were similarities and differences in the mathematical connection processes of male and female students. Similarities in the process of mathematical connections occur when making mathematical connections with other sciences and with everyday life in each of Polya's stages. In addition, the similarity of the connection process also occurs when connecting in mathematics during the re-checking stage. While the difference in the connection process in mathematics between male and female students is done at the stage of understanding the problem, solving strategies and implementing problem solving.

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10.12973/eu-jer.9.4.1527
Pages: 1527-1537
cloud_download 1326
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1326
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1337
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9

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6

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This research aimed at analyzing the influence of ‘Process Oriented Guided Inquiry Learning’ model assisted by realia media, in which it was to improve the scientific literacy and critical thinking skill of primary school students, especially for the material of energy. This quasi-experiment research used single factor independent groups design. The research sample of this research were fourth grade students of SD Inpres Oeba 2 Kupang City, East Nusa Tenggara Province, of which students were in the academic year of 2019/2020. The technique of sample collection was carried out purposive sampling for 2 classes. The IVA class was used as the experimental class (POGIL model assisted by the realia media), in which it consisted of 30 students and the IVB class was used as the control class (expository learning) that consisted of 28 students. The learning was carried out in four meetings. The data of scientific literacy and the results test of critical thinking were collected by means of objective test on the energy material. Multivariate Analysis of Variance (MANOVA) was used to analyze the data using significance level of 0.05. The results indicate that (1) There is a significant difference between the students’ scientific literacy who gain the POGIL learning assisted by the realia media and the students’ scientific literacy who get the expository learning; and (2) There is a significant difference between the critical thinking of students who get POGIL learning assisted by realia media and the students who get the expository learning. It can be concluded that there is a significant difference between the scientific literacy and the students’ critical thinking taught by the POGIL learning that assisted by realia media to the students who use expository learning. Since there is a significant difference, it means that the POGIL learning assisted by realia media has an influence on the students' scientific literacy and critical thinking.

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10.12973/eu-jer.9.4.1635
Pages: 1635-1647
cloud_download 1330
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1330
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1352
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16

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10

The Effects of MANSA Historical Board Game toward the Students’ Creativity and Learning Outcomes on Historical Subjects

board game creativity history learning outcomes project-based learning

Ameliasari Tauresia Kesuma , Harun , Himawan Putranta , Jefri Mailool , Hanif Cahyo Adi Kistoro


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The constraints of history learning in the Indonesia curriculum are the weekly time is only one hour of lessons and the material is quite dense, if delivered with an explanation and discussion the time is not enough. Therefore, it was sought how to get all material delivered and students not bored. Learning this model is done to condition students as a center of learning, increase creativity and learning outcomes, the project undertaken is called the MANSA Historical board game (MANSA is taken from the abbreviation of our school name). In this case, students are asked to create, design their own board game on a different topic for each group. This study aims to determine the differences in learning outcomes and creativity between the control class and the experimental class of students at senior high schools in Salatiga, Indonesia. The research model used is quasi-experimental. The respondents of the research were 35 students in the experimental class and 35 students in the control class, who had the same homogeneity in creativity and learning outcomes. The results showed that the MANSA Historical board game had a significant effect on creativity and student learning outcomes. It is proven that creativity and student-learning outcomes can be increased. As shown by the mean different test results, there was a difference in the creativity of 0.593 and a learning outcome of 4.224 between the control class and the experimental class before and after treatment. The results showed a difference in learning outcomes between the control class and the experimental class. The average learning outcomes of the experimental class are higher than the average learning outcomes of the control class, as well as student creativity.

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10.12973/eu-jer.9.4.1689
Pages: 1689-1700
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880
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917
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7

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4

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