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

mathematical conceptions misconceptions in mathematics students’ errors in mathematics nepal

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


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

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

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5

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

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10.12973/eu-jer.10.3.1181
Pages: 1181-1197
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1569
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1146
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4

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3

Digital Andragogical Competences of Ecuadorian Higher Education Teachers during the COVID-19 Pandemic

higher education technology teaching competences virtual education andragogy

Derling Jose Mendoza Velazco , Mercedes Navarro Cejas , Magda Francisca Cejas Martinez , Paola Gabriela Vinueza Naranjo , Vladimir Vega Falcón


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The changes brought about in higher education by the Coronavirus disease (COVID-19) pandemic require effective action. Teachers must be trained to work on university platforms. The study allows us to analyse the current educational problems, which are found in many countries, not only in Ecuador. The research aimed to determine the virtual andragogical competencies of Ecuadorian university education during the COVID-19 pandemic. A mixed research approach was used. A quantitative analysis was applied first, followed by a qualitative analysis. The sample selection was participatory and non-probabilistic. The sample consisted of 1003 active higher education teachers in Ecuador. A questionnaire of 106 questions divided into four variables was applied. A multiple analysis of variance (MANOVA) was performed. The analyses demonstrated the need to apply four integral competencies. First the teacher must "Know how to be", through continuous ICT training. After the teacher has been trained, he/she must "Know". This process involves mastering educational technology. After updating knowledge, they must "Know how to live together". Develop critical and constructive communication. Then "Know how to do" by applying an effective guiding methodology. Teacher training under the competency-based approach is seen as a viable alternative.

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10.12973/eu-jer.10.3.1341
Pages: 1341-1358
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586
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688
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6

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12

The Interrelationships between Metacognition and Modeling Competency: The Moderating Role of the Academic Year

academic year levels confirmatory factor analysis mathematical modeling metacognition structural equation modelling

Riyan Hidayat , Sharifah Norul Akmar Syed Zamri , Hutkemri Zulnaidi , Mohd Faizal Nizam Lee Abdullah , Mazlini Adnan


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Several concerted movements toward mathematical modeling have been seen in the last decade, reflecting the growing global relationship between the role of mathematics in the context of modern science, technology and real life. The literature has mainly covered the theoretical basis of research questions in mathematical modeling and the use of effective research methods in the studies. Driven by the Realistic Mathematics Education (RME) theory and empirical evidence on metacognition and modeling competency, this research aimed at exploring the interrelationships between metacognition and mathematical modeling and academic year level as a moderator via the SEM approach. This study involved 538 students as participants. From this sample, 133 students (24.7%) were from the first academic year, 223 (41.4%) were from the second and 182 (33.8%) were from the third. A correlational research design was employed to answer the research question. Cluster random sampling was used to gather the sample. We employed structural equation modeling (SEM) to test the hypothesized moderation employing IBM SPSS Amos version 18. Our findings confirmed the direct correlation between metacognition and mathematical modeling was statistically significant. Academic year level as a partial moderator significantly moderates the interrelationships between the metacognitive strategies and mathematical modeling competency. The effect of metacognition on mathematical modeling competency was more pronounced in the year two group compared to the year one and three groups.

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10.12973/eu-jer.10.4.1853
Pages: 1853-1866
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556
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462
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7

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6

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The cooperative learning (CL) is an advanced instructional approach that uses different motivational procedures to make instruction significant and learners more responsible. This study aimed to investigate the effects of cooperative learning on students' achievement in chemistry among the advanced level in 12-year basic education schools; it engaged a quasi-experimental design with one treatment group and a comparison group (control); the first applied cooperative learning in teaching organic chemistry while in the control group, organic chemistry was taught by the conventional teaching methods (CTM). A sample of 257 students participated in the study. The data collected used an organic Chemistry Achievement Test, and its data were analyzed using SPSS version 23.0 and MS Excel 2016. The ANCOVA results showed that learners taught using cooperative learning achieved better than their counterparts in the control group (F=78.07, df=1, 256, p<.001) with the learning gains of 16.0% in traditional methods and 53.6% of cooperative learning approach, respectively. However, there was no statistically significant difference in gender of students. It is recommended that chemistry teachers be trained on cooperative learning and encouraged to apply it in their teaching methods to enhance students' academic achievement.

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10.12973/eu-jer.10.4.2079
Pages: 2079-2088
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528
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577
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7

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3

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This research aimed to develop a historical thinking assessment for students' skills in analyzing the causality of historical events. The development process of Gall and colleagues and Rasch analysis models were used to develop an assessment instrument consisting of two processes, including the analysis of the framework of cause and consequence, the validity, reliability, and difficultness test. This research involved 150 senior high school students, with data collected using the validation sheet, tests, and scoring rubric. The results were in the form of an essay test consisting of six indicators of analyzing cause and consequence. The instruments were valid, reliable, and suitable for assessing students’ skills in analyzing the causality of historical events. The developed instruments were paired with a historical thinking skills assessment to improve the accuracy of the information about students' level of historical thinking skills in the learning history.

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10.12973/eu-jer.11.2.609
Pages: 609-619
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1323
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932
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2

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Computational thinking (CT) is a method for solving complex problems, but also gives people an inventive inspiration to adapt to our smart and changing society. Globally it has been considered as vital abilities for solving genuine issues successfully and efficiently in the 21st century. Recent studies have revealed that the nurture of CT mainly centered on measuring the technical skill. There is a lack of conceptualization and instruments that cogitate on CT disposition and attitudes. This study attends to these limitations by developing an instrument to measure CT concerning dispositions and attitudes. The instruments' validity and reliability testing were performed with the participation from secondary school students in Malaysia. The internal consistency reliability, standardized residual variance, construct validity and composite reliability were examined. The result revealed that the instrument validity was confirmed after removing items. The reliability and validity of the instrument have been verified. The findings established that all constructs are useful for assessing the disposition of computer science students. The implications for psychometric assessment were evident in terms of giving empirical evidence to corroborate theory-based constructs and also validating items' quality to appropriately represent the measurement.

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10.12973/eu-jer.11.2.639
Pages: 639-652
cloud_download 715
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715
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669
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7

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4

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

mathematical ability problem solving working memory capacity

Deka Anjariyah , Dwi Juniati , Tatag Yuli Eko Siswono


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

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10.12973/eu-jer.11.3.1427
Pages: 1427-1439
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794
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582
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5

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3

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The government has imposed social restrictions during the COVID-19 pandemic, affecting the education sector, including the early childhood school. Distance education offers different methods from the conventional methods, as the students are expected to gain the same skills, including critical thinking skills. Therefore, teachers must provide distance learning innovations using relevant learning media, such as multimedia-based learning. This research aims to assess the efficacy of multimedia learning in early childhood distance learning. This research is a quantitative model with a quasi-experimental pretest and posttest design. The data collection technique utilized questionnaires given to 30 samples of early childhood children. The data were statistically analyzed using SPSS software. The results confirmed that multimedia-based learning for distance learning could develop critical thinking skills in early childhood children during the COVID-19 pandemic. The results of this study offer exploration of learning strategies to improve children’s critical thinking.

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10.12973/eu-jer.11.3.1555
Pages: 1553-1568
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1201
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699
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3

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3

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The paramount objective of English language teaching and learning is to achieve language competence in communicative purposes with the minimal learners’ errors. To attain that goal, corrective feedback plays an important role due to its efficiency in developing learners’ English capacity. However, the correlation between language students’ and teachers’ views on the issues of corrective feedback including its types, methods and timing has received inadequate attention from educational scholars. This study, therefore, aimed to examine teachers’ and learners’ perceptions of corrective feedback at a higher education institution. The research employed the mixed method with the participation of 425 law-majored sophomores. Specifically, the statistics involved the survey questionnaires, follow-up interviews with students as well as the interview with thirteen teachers of English. The results indicated overall matches between learners’ and teachers’ high remarks on the necessity of oral corrective feedback in the students’ English acquisition. Notably, they both highly valued the use of metalinguistic feedback, prompt feedback for grammatical and lexical errors while explicit correction and recast were preferred for phonological errors. In terms of feedback timing, students were perceived not to be negatively affected by immediate correction, yet expressed their preferences for the delayed corrective feedback, which was compatible with teachers’ views. Such findings set practical pedagogical implications for language educators in the language teaching and learning process.

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10.12973/eu-jer.11.3.1643
Pages: 1643-1655
cloud_download 745
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745
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644
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In all years of the Program for International Student Assessment (PISA) in primary mathematics education, Finland ranked in the lower places (44-61) in the dispersion index (the difference in scores between the 95th percentile and the 5th percentile), while Israel ranked in the upper places (1-3) in the same index. In the last PISA test, Israel ranked first (among the 78 participating countries) in grade differences, while Finland ranked 61st. The score for dispersion in Israel is 356 points, the highest among the countries and economic entities of the Organization for Economic Cooperation and Development (OECD). Based on these results, this comparative study between Israel and Finland was conducted to investigate the most important sociological factor in the Pisa test that influences most student achievements in mathematics in Finland and Israel, as well as the reasons for the differences in achievement between mathematics scores. The results of this study show that the differences in achievement in Israel are due to students' socio-economic status and the sector. In contrast, Finland's first sociological factor influencing student performance is socio-economic status. Nevertheless, it has a more negligible influence than in Israel. The second factor is student motivation.

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10.12973/eu-jer.11.3.1813
Pages: 1813-1824
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408
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496
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0

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The main objective of this research was to study the effects of instructional management models and nominal variables on the development of students’ creative thinking. The researchers used the research synthesis of 400 studies on the development of students' creative thinking by a meta-analysis of research according to Cohen. The meta-analysis results revealed that the average effect size of the instructional management model (d = 3.43; [3.10, 3.17]) was positive and had a very high effect size with statistical significance. The most significant influence on the creative thinking development model was creative development theory (d = 4.217; [3.32, 5.11]). In addition, effect sizes varied with the attribute variables of the research, particularly the attribute variable of the research on instruction with the highest effect consisted of research with the focus on language, at the primary level, applied Torrance's creativity theory, designed between one to six lesson plans. Moreover, there was less than one hour per plan, the instructional period including the experiment conducted more than 31 hours and there were four weeks of instruction. In addition, there were six steps for instruction, there had quiz as an assessment tool, number of exams varied between 30 and 39 questions, and knowledge sheets were used as instructional materials. In the context of the meta-analysis, the findings indicated that the teachers should apply creative development theory in developing the students’ creative thinking for more effective instructional management.

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10.12973/eu-jer.11.4.2069
Pages: 2069-2085
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485
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515
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2

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1

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The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.

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10.12973/eu-jer.12.1.41
Pages: 41-58
cloud_download 505
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505
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566
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2

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2

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This study aims to investigate lecturers' needs for academic writing learning materials and determine their prototypes. This study is qualitative research in the form of an exploratory case study. The research instruments were semi-open-ended questionnaires and unstructured and open-ended interview guides. The data were analyzed using content analysis. The results show that the developed learning material for academic writing skills contains seven needs for lecturers in the Department of Indonesian Language and Literature. Four of them have not been found by previous researchers. The results from this study provide new knowledge and contribution to the literature about the need to prototype the learning materials. The lecturers or other researchers can use these seven needs in prototyping learning materials for academic writing skills, such as the needs of learning materials, their forms, presentation system, language use, evaluation form, main menu design, and the way of creating learning materials.

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10.12973/eu-jer.12.1.435
Pages: 435-453
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305
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280
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1

The Effectiveness of Teaching Derivatives in Vietnamese High Schools Using APOS Theory and ACE Learning Cycle

academic achievement ace learning cycle apos theory derivative mathematics education

Nguyen Thi Nga , Tang Minh Dung , Le Thai Bao Thien Trung , Tien-Trung Nguyen , Duong Huu Tong , Tran Quoc Van , Bui Phuong Uyen


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The actions, processes, objects, and schemas (APOS) theory is a constructivist learning theory created by Dubinsky based on Piaget's epistemology and used to teach math worldwide. Especially the application of APOS theory to the curriculum of a mathematics class helps students better understand the concepts being taught, which in turn contributes to the formation and development of mathematical competencies. With the aid of the APOS theory and the activity, classroom discussion, and exercise (ACE) learning cycle, this study sought to ascertain the effect of teaching derivatives in Vietnamese high schools. In this quasi-experimental study at a high school in Vietnam, there were 78 grade 11 students (40 in the experimental and 38 in the control classes). As opposed to the control class, which received traditional instruction, the experimental class's students were taught using the ACE learning cycle based on the APOS theory. The data was collected based on the pre-test, the post-test results and a survey of students' opinions. Also, the data that was gathered, both qualitatively and quantitatively, was examined using IBM SPSS Statistics (Version 26) predictive analytics software. The results showed that students in the experimental class who participated in learning activities based on the APOS theory improved their academic performance and attitudes. Additionally, it promoted the students' abilities to find solutions to problems about derivatives.

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10.12973/eu-jer.12.1.507
Pages: 507-523
cloud_download 322
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322
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443
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2

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0

Psychometric Analysis of the Social Support Scale Among Indonesian Academicians

factor analysis reliability social support validity

Sri Lestari , Gita Aulia Nurani , Wisnu Sri Hertinjung


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The current study investigates the psychometric characteristics of the Social Support Scale as an instrument for assessing social support for academics. The original version of the scale was adapted and translated into Indonesian and was administered to academics in Indonesia through a google form. The data were then analyzed to investigate the reliability, construct validity, and structure of factors of the instrument. Confirmatory factor analysis confirms that the three-dimension model was the best model regarding the internal structure. Our findings also advocate the Social Support Scale as a valid and reliable tool for assessing social support in Indonesian academics. Thus, it can be employed to examine lecturers’ social support level which helps the universities to build a supportive working climate, as well as improve the relationship quality between employees.

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10.12973/eu-jer.12.2.977
Pages: 977-989
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560
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489
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0

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School quality has become a guiding concept that increasingly shapes educational planning and school development. For many decades, it has been a topic of significant interest, resulting in a wide-ranging and diverse research field. However, it is far from clear how school quality should be defined, what it should encompass, and how it influences student performance. The goal of this scoping review is to examine the existing evidence of the relationship between characteristics of school quality and student cognitive output/ student performance in secondary school. More precisely, it aims to (a) identify, (b) categorize, and (c) examine and evaluate the effects of characteristics of school quality affecting student performance and teaching characteristics in secondary school. In order to achieve these aims, we selected, clustered, and analyses 37 articles. The process was conducted by the research group through regular meetings, discussions, and consensus decisions. Our findings contribute to the comprehensive body of literature by identifying the following dimensions: aims and strategies for quality development, leadership and management, professionalism, school culture, and resources. Furthermore, the review revealed that although the field of school quality has been extensively researched, it lacks consistency, with many different operationalisations and definitions, making comparisons and syntheses challenging or even impossible. We believe that clear operationalisations and definitions are crucial to achieving comparability. Additionally, to achieve a standardized understanding of school quality and establish the categories internationally, uniform, theoretically sound, and content-related definitions of each category are necessary.

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10.12973/eu-jer.12.2.991
Pages: 991-1013
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318
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450
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The significance of speaking English has been emphasized in Malaysia education. However, speaking problems such as lack of enthusiasm and poor speaking performance emerge among ESL pupils. To resolve this, an online board game “Flippity” is implemented in online speaking lessons. This paper aims to explore the usefulness of the online board game “Flippity” to improve speaking skills among elementary pupils who are in Year 5 as well as to investigate pupils’ perceptions towards the use of the online board game “Flippity”. The study employed a quasi-experimental mixed method design to collect data from thirty Year 5 pupils from a Chinese primary school. Data was collected through speaking pre-test and post-test, semi-structured interview and questionnaire. The results indicated a significant improvement in pupils’ speaking skills in terms of accuracy, fluency, range, interaction and coherence. Pupils also displayed preferences and positive attitude in learning to speak while playing “Flippity”. Further studies are recommended to be done on how “Flippity” could be exploited when learning other language skills such as listening, reading, writing and grammar.

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10.12973/eu-jer.12.2.1085
Pages: 1085-1096
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324
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460
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Although the central role of classical mechanics in physics teacher education is undisputed, divergent interests and perspectives from different disciplinary cultures might exist when thinking about how to best support pre-service teachers' professional development. In this article, we report the results of an exploratory mind map study to investigate which classical mechanics topics are regarded essential for physics teacher education according to N = 29 experts from different physics disciplines. The participants’ mind maps were analyzed using a category system and frequency analysis was applied. The results hint at similarities and differences in terms of key topics to be addressed in physics teacher education on classical mechanics according to experts from different physics disciplines, e.g., in terms of the depth of mathematics considered relevant for physics teacher education.

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10.12973/eu-jer.12.3.1247
Pages: 1247-1255
cloud_download 285
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285
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375
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2

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1

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This study aimed to compare and examine the effectiveness of interactive STEM learning and paper-and-pencil STEM learning in terms of mathematical literacy skills of elementary school students. This research is of a quasi-experimental type with a non-equivalent pretest-posttest control group design. Sampling was carried out on the elementary school populations in Bengkulu and South Sumatra Provinces in two stages. In the first stage, schools in rural and urban areas were selected, and in the second, classes in each school were randomly selected. The selected sample consisted of fifth-grade students of the Public Elementary School of Terawas, Musi Rawas, with an experimental class A (n = 20) and an experimental class B (n = 19), as well as fifth-grade students of the Public Elementary School of Bengkulu City, with an experimental class A (n = 25) and an experimental class B (n = 22). Data collection was conducted using mathematical literacy skills tests in reference to the PISA and Minimum Competency Assessment (level 1–3). Data analysis was performed using descriptive and inferential statistics; it employed an independent t-test for the comparative testing and an N-gain test for testing the effectiveness of STEM learning. The results showed that there were differences in math literacy skills between interactive STEM and paper-and-pencil STEM for students in urban schools, but not significantly different for students in rural schools. General STEM learning was effective in increasing the literacy of elementary school students, and interactive STEM in particular demonstrated the highest level of effectiveness in the urban school.

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10.12973/eu-jer.12.4.1569
Pages: 1569-1582
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528
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523
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