This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and understanding the form of row echelon and reduced row echelon forms. In this study, subjects were three prospective mathematics teachers from Swadaya Gunung Jati University Cirebon who were taking matrix algebra courses. This study aims to reveal the conceptual understanding of prospective mathematics teachers in determining the solution to systems of linear equations. The results show that there are still prospective mathematics teachers who only use memory about the properties and procedures in determining whether a matrix is said to be a row echelon form or a reduced row echelon form. Then, there is still weakness in building the algorithms' relationship due to the immature knowledge of the concepts. Researchers found that many prospective mathematics teachers were more comfortable solving problems that were performed procedurally. Further research is needed to determine how the mental construction process and mathematical conceptual knowledge of prospective mathematics teachers are through meaningful learning so that conceptual understanding is maximized.

The purpose of this research is to provide empirical evidence of the influence of perceived usefulness, convenience, experience, gender, and age on the intention to use e-learning after the government's school closure policy due to the Coronavirus disease (COVID-19) pandemic. Our sample is junior high school teachers in Indonesia and the data are analyzed using the Structural Equation Model (SEM). We show that perceived usefulness has a positive influence on e-learning intentions. The perceived convenience is not the reason for the teachers to use e-learning because they have no other alternative in carrying out their duties apart from e-learning. Besides, we have also found that gender and experience influence e-learning intentions. The teachers with different genders and experiences continue to implement e-learning as their way of teaching during the pandemic. The younger teachers have a higher intention of using e-learning. They have adequate digital abilities and are more confident in using e-learning, so they have a great intention in implementing e-learning for the delivery of the materials. Experienced teachers will find it easier to find the use and convenience of e-learning. Apart from experience, male teachers also report that it is easier to grasp the ease of e-learning. However, older teachers show more concern about their perception of system usability as a reason for using e-learning than system convenience.

Many problems in real life are full of uncertainty. Probabilistic thinking is one way to solve this uncertainty problem. The personality abilities that are interesting to examine include how independent the students are in facing probabilistic solutions. For this reason, it is necessary to study the probabilistic thinking profile of prospective mathematics teachers in solving probabilistic problems in terms of learning the self-regulation. The research method used in this research is qualitative research. In this study, the researcher conducted an analysis of students' probabilistic thinking with the scope of the probability material related to the sample space, the probability of events, and the probability of the random variable space. The profile of the level of probabilistic thinking is influenced by cognitive factors in the form of probabilistic knowledge obtained by students and personality in the form of self-regulated learning. Student learning self-regulated influences the mental activity in decision making. By studying the profile of probabilistic thinking, students are better prepare to face uncertainty with various aspects that influence it.

This study aimed to investigate the mediation role of coping with stress between psychological capital and teacher well-being based on positive psychology, conservation resource, and broaden-and-build theories. Participants in this study were 836 teachers from three clustered, ethnically diverse public universities. Our findings showed that, in line with previous studies, the psychological capital (PsyCap), coping with stress (CWS), and teacher well-being (TWB) dimensions showed the best fit in our data. PsyCap was related positively to TWB (total and dimensions), CWS, coping through withdrawal, and negative coping with acceptance and change. The indirect effect of PsyCap on TWB through coping with stress was fully mediated. PsyCap also positively and directly affected TWB and CWS. Coping through acceptance and change were fully mediated by PsyCap and TWB dimensions, while coping through withdrawal was not. PsyCap directly and positively affected coping with stress (acceptance and change) and negatively affected coping through withdrawal. Future theoretical and practical implications are discussed.

Creative thinking is the highest level of the kind of high order thinking. In observations at the schools in Indonesia, teachers overly equate all levels of achievement of students' creative thinking to obtain higher order thinking skill improvements in mathematics learning. This condition results in an imbalance in learning practices. Therefore, this research fills the gap of this imbalance by describing the student’s creative thinking profile as a high order thinking skill in the improvement of mathematics learning. These results can contribute knowledge to educators to manage teaching strategies that can improve mathematics learning which refers to high order thinking skill for all levels of their creative thinking. This research is qualitative descriptive research. The subject were junior high school students in Malang, Indonesia. Data collection methods are tests, observations, and interviews. Data analysis is conducted by reducing data, present data, and conclusions. These research results are descriptions of student’s creative thinking profiles as a high order thinking in mathematics learning improvement, namely students have problems planning problem solving; students take a break to make plans; identify the essence of the problem, provide original ideas, provide alternative problem-solving plans, combine previous ideas with problem questions; operate and implement their plans by creating various original solutions.

This study investigated the influences of social constructivist approaches on history teachers' opinions of social science education. The purpose of the study was to examine the effectiveness of social constructivist approaches and explore the views and practices of teachers in their current use of teaching approaches in social science education. For this study, a qualitative study approach was employed. The study was conducted at intermediate secondary schools in the city of Erbil. For open semi-structured interviews, eight teachers of social science education were purposely selected from eight intermediate secondary schools of grade ninth, and eight social science classes were observed. The results revealed that despite significant changes of the system of education, many challenges were identified in implementing social constructivist approaches in social science education such as the environment of fear, the shortage of proper public infrastructure, lack of care, and resources. Also, the study revealed several barriers like absence of sufficient well-designed teaching guidelines, lack of adequate clear instructions, inadequacy classroom teachers' autonomy, and no freedom. Lastly, the study ends up by specifying several conclusions.

The article mentions the impact of the Coronavirus disease (COVID-19) pandemic on online learning in Vietnamese higher education in 2020. This is a qualitative case study, by using in-depth interviews to explore the changes in the perception, methods, and orientation of online learning of students and lecturers at a key pedagogical university when experiencing the three COVID-19 outbreaks in Vietnam. The findings show that the COVID-19 pandemic has a positive impact on the developmental orientation of online learning at the Vietnamese higher education level. Even though at the time of an outbreak, opposition and dissatisfaction with online learning occurred; but through the three outbreaks, together with the efforts of lecturers and students, online learning in Vietnam has recorded remarkable achievements. This is a prerequisite for the development of online education and the innovation of digital technology in education.

Students are more likely to obtain correct solutions in solving derivative problems. Even though students can complete it correctly, they may not necessarily be able to explain the solution well. Cognition and communication by the students will greatly affect the subsequent learning process. The aim of this study is to describe students’ commognition of routine aspects in understanding derivative tasks for heterogeneous groups of cognitive styles-field dependent and independent. This qualitative study involved six third-semester mathematics education students in the city of Palu, Indonesia. We divided the subjects into two groups with field-independent (FI) and field-dependent (FD) cognitive styles. The first group consisted of two FI students and one FD student, and the second group consisted of two FD students and one FI student. Moreover, the subjects also have relatively the same mathematical ability and feminine gender. Data was collected through task-based observations, focused group discussions, and interviews. We conducted data analysis in 3 stages, namely data condensation, data display, and conclusion drawing-verification. The results showed that the subjects were more likely to use routine ritual discourse, namely flexibility on the exemplifying category, by whom the routine is performed on classifying and summarizing categories, applicability on inferring category, and closing conditional on explaining category. The result of ritual routine is a process-oriented routine through individualizing. This result implies that solving the questions is not only oriented towards the correct answers or only being able to answer, but also students need to explain it well.

The purpose of this paper is to explore if the learning of biographical writing contributes to the positive views and attitudes towards others of different groups. The paper used the Research and Development approach by designing and implementing a learning model of biographical writing. The subjects of this study were 200 seventh-grade students having different ethnic and religious backgrounds from nine junior high schools. The data-collecting method was pretest-posttest. The results of the study demonstrated that the average scores of the aspects of student empathy, student positive attitudes towards ethnic differences, and student positive attitudes towards religious differences increased in all the schools investigated. The increase of average score in the aspect of student empathy, positive attitudes towards ethnic differences, and positive attitudes towards religious differences could be classified into three categories: high, medium, and low. Most of the schools under study experienced medium and low increases of average score in all aspects.

Writing is very important for learners; it is a dynamic and creative skill. Although studies on students’ problems when writing a dissertation among Native Speakers (NS) are widely done, studies on English as a Foreign Language (EFL) are limited, especially those which examine problems faced while writing dissertations among Ph.D. EFL learners, in particular, Jordanian Ph.D. candidates. Studies on the supervisors' perspectives of writing a dissertation are scarce among EFL learners, particularly Arab learners. This study aims at focusing on supervisors' perspectives of writing dissertations among Jordanian Ph.D. students who are studying abroad. This study is a qualitative case study. The researchers interviewed nine Malaysian supervisors who supervised 21 Jordanian Ph.D. candidates. The results show that six main themes emerged from the supervisors' perspectives, and they are grammatical mistakes, lack of vocabulary and verbs reporting, personal effects, lack of motivation, writing apprehension, and the problem with generic thesis structure. This paper contributes with a comprehensive analysis of the theoretical perspectives on problems Ph.D. students face when writing a dissertation. The study also fills in the gap in the field of supervisors' perspectives of writing a dissertation. Based on the results found, the researchers suggest a number of recommendations and further research that might help supervisors understand the reasons behind such difficulties.

Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students’ common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students’ understanding of the wrong concepts to the correct ones. A research design was used to achieve this goal. It identified and solved the errors in the definition of angle and triangle among first-year students in the Department of Mathematics Education at an excellent private college in Mataram, Indonesia. The steps were as follows: A test instrument with open-ended questions and in-depth interviews were used to identify the errors, causes, and reasons for the students’ misconceptions. Then, the MDWI approach was used to identify a way to correct these errors. It was found that students generally failed in interpreting the concept images, reasoning, and knowledge connection needed to define angles and triangles. The MDWI approach eliminated the misconceptions in generalization, errors in concept images, and incompetence in linking geometry features.

In higher education, it is essential that students apply what they have learned to solve problems in their community. Meaningful learning is the main means to increase the accumulation of knowledge and achieve the transfer of learning, which is why the present study aimed to: design and evaluate the psychometric properties of a scale that measures the application of learning strategies that promote meaningful learning. The participants were 890 university students from Northeast Mexico, with an average age of 20.35 years (SD = 3.94). The sample was randomly divided into two: an exploratory factor analysis was carried out with the first sample and a confirmatory factor analysis was made in the second sample. The results obtained confirm the eight-dimensional structure, which showed an adequate fit to the data (χ2 / gl = 3.57, GFI = .96, AGFI = .95, NFI = .94, RMSEA = .08 and SRMR = .07), high parsimony (RP = .93), in addition to good internal consistency (ω ≥ .80) and convergent validity (AVE ≥ .40). In conclusion, the scale presents adequate psychometric properties to measure the frequency of use of strategies that promote meaningful learning in Mexican university students.

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.

Prospective teachers facing the 21st century are expected to have the ability to solve problems with a computer mindset. Problems in learning mathematics also require the concept of computational thinking (CT). However, many still find it challenging to solve this problem. The subjects in this study were twenty-one prospective mathematics teachers who took number theory courses, and then two research samples were selected using the purposive sampling technique. This study uses a qualitative descriptive method to describe the thinking process of prospective teachers in solving Diophantine linear equation problems. The results showed that the first subject's thought process was started by turning the problem into a mathematical symbol, looking for the Largest Common Factor (LCF) with the Euclidean algorithm, decomposition process, and evaluation. The second subject does not turn the problem into symbols and does not step back in the algorithm. The researcher found that teacher candidates who found solutions correctly in their thinking process solved mathematical problem used CT components, including reflective abstraction thinking, algorithmic thinking, decomposition, and evaluation. Further research is needed to develop the CT components from the findings of this study on other materials through learning with a CT approach.

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.

Nowadays, Peruvian physicians commonly give oral medical reports to a patient´s family in English. For this reason, this research seeks to demonstrate the effectiveness of an Intervention Program for improving oral skills through role-playing activities, one hand, and, on the other, it aims to discover the kind of motivation, both goals in 40 students belonging to the Medicine Faculty of Universidad Nacional de Piura. This study has two parts, in the first quantitative phase, it measured the level of oral skills in these students, through an oral pre-test. After that, the students participated in an intervention program consisting of role-playing activities where the doctors usually use radiography to explain a medical condition. Then, the students were evaluated on their oral skills using an imaginary hospital situation similar to the pre-test. In the second part, the qualitative phase measured the Motivation of these students using the Attitude Motivation Test Battery (AMTB) in addition, a semi-structured interview could support the findings obtained in the aforementioned survey. The main findings were the improvement of oral skills and both Integrative and instrumental motivation in these students thanks to role-playing activities application.

The role of preschool teachers in supporting children’s language development is unquestionably substantial. To ensure the quality of preschool teachers’ performance in this specific task, various assessing instruments have been developed and justified in recent years. This study joins such efforts by investigating a new scale based on the “Framework for assessing preschool teacher competence in promoting children’s language development” proposed by a previous research. The scale’s psychometric properties are examined with a sample of 685 Vietnamese preschool teachers. The results supported the four-factor model suggested by the original authors and confirmed its reliability and validity. Finally, further usages of the scale are discussed.

The pandemic case has shifted away from face-to-face teaching to online blended learning. This phenomenon certainly causes various problems in the world of education. The online blended learning is good when applied with good internet connections and complete facilities. However, it differs from Indonesian coastal students who do not have supporting facilities. Therefore, this research aims to analyze the experience and readiness of Indonesian coastal students. It determines the facilities of the process using qualitative research with a phenomenological approach. Purposive sampling was used to collect data from 25 students living in coastal areas in Aceh, Indonesia. Furthermore, in-depth interviews were used to obtain instruments and techniques for data collection, observations, field notes, and audio-visuals. Data analysis was carried out qualitatively by reducing, displaying, drawing conclusions, and verifying data. The data processing was conducted using NVivo 12 plus software. The kappa coefficient is used to check the accuracy of the data since there was no bias during coding. The analysis results show that Indonesian coastal students are not ready to conduct the online blended learning process. Furthermore, it is recommended that future research focus on coastal students’ development. A Hypothetical Learning Trajectory design should be created to assist in independent learning and lessen their readiness.

Mathematics teachers’ instructional strategies lack in-depth knowledge of algebraic systems and hold misconceptions about solving two algebraic equations simultaneously. This study aimed to gain an in-depth analysis of teachers’ knowledge and perceptions about the promotion of conceptual learning and effective teaching of algebraic equations. The main question was, ‘How do junior secondary school mathematics teachers manifest their pedagogical practices when teaching algebraic equations? This article reports on a qualitative, underpinned by the knowledge quartet model study, that sought to explore how junior secondary school teachers’ pedagogical practices manifested in the teaching of algebraic equations. Data were collected from observations, semi-structured interviews, and document analysis of two mathematics teachers purposely selected from two schools. The collected data were analysed using a statistical analysis software called Atlas-ti. (Version 8) and triangulated through thematic analysis. The study revealed that teachers’ choices of representations, examples, and tasks used did not expose learners to hands-on activities that promote understanding and making connections from the underlying algebraic equation concepts. The study proposed Penta-Knowledge Collaborative Planning and Reflective Teaching and Learning Models to enable teachers to collaborate with their peers from the planning stage to lesson delivery reflecting on good practices and strategies for teaching algebraic equations.

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.