The study of character becomes a very important discussion in the 21st century. So that the integration of character values is very important both in the process and in educational assessment. The purpose of this study was to test the validity and reliability of the character assessment instrument for 21st-century high school students. The research approach used was quantitative with a sample of 200 high school students. Data analysis carried out includes validity and reliability tests. The test results of the instrument showed that the construct of the student character assessment instrument was declared valid and reliable. The content validity test shows the value of Aiken's > .80 in the high category. In the construct validation test with EFA, all variables have a loading factor > .5. In the CFA test, the model is declared fit with the estimated standard loading value of .40 and the t-count value > 1.96. Meanwhile, while in testing the reliability of the instrument obtained composite > .70 Cronbach's Alpha reliability > .70 which means reliable. So that this instrument is declared valid and reliable to measure the character of students in high school.

Modern technology is necessary and important for improving the quality of education. While machine learning algorithms to support students remain limited. Thus, it is necessary to inspire educational scholars and educational technologists. This research therefore has three main targets: to educate the holistic context of rural education management, to study the relationship of continuing education at the upper secondary level, and to construct an appropriate education program prediction model for high school students in a rural school. The data for research is the academic achievement data of 1,859 students from Manchasuksa School at Mancha Khiri District, Khon Kaen Province, Thailand, during the academic year 2015-2020. Research tools are separated into 2 sections. The first section is a basic statistical analysis step, it composes of frequency analysis, percentage analysis, mean analysis, and standard deviation analysis. Another section is the data mining analysis phase, which consists of discretization technique, XGBoost classification technique (Decision Tree, Gradient Boosted Trees, and Random Forest), confusion matrix performance analysis, and cross-validation performance analysis. At the end, the research results found that the reasonable distribution level of student achievement consisted of four clusters classified by academic achievement. All four clusters were modeled on predicting academic achievement for the next generation of students. In addition, there are four success models in this research. For future research, the researcher aims to develop an application to facilitate instruction for learners by integrating prediction models into the mobile application to promote the utilization of modern technology.

Teachers´ life-long learning and occupational well-being is significant in promoting educational goals and professional development. The aim of the study was to determine which factors contribute to teacher educators´ commitment to work and give them energy for work and self-development. The research data consisted of 24 teacher educators in Oulu University of Applied Sciences. The research method of this case study was a qualitative, thematic content analysis, the research approach phenomenography. The most important single factor seemed to be the community of teachers, students and the administrative staff which are included in dialogue and collaboration. Emotions, meaningfulness, and interaction play an important role, often via pedagogical fellowship. Committed teacher educators take responsibility for workplace culture and transformation of teaching. Positive attitudes, motivation, reflection, and dialogue seem to be connected to professional capability and the ethos of teacher educators´ work.

Teacher leadership theory has underlined the essence of teacher collaboration (TC) in helping students learn better. Also, many studies and theories have argued that TC can be an effective way to provide learning feedback. Thus, this mixed-method study aimed to experimentally examine the effect of teacher collaborative metacognitive feedback (TCMF) on educational management (EM) students’ metacognition, to see the different effects on EM students’ metacognition as affected by TCMF and by individual teaching metacognitive feedback (ITMF), and to qualitatively probe into students’ perceptions of teacher collaboration. The quantitative study conducted a quasi-experimental method by involving 44 EM students. A valid and reliable scale of metacognition adopted from a previous study was utilized as the instrument of data collection. The qualitative study conducted interviews with 8 students selected purposively, and the data were analyzed interactively to reach credible information. This study revealed that TCMF positively and significantly affected EM students’ metacognition. TCMF contributed to EM students’ metacognition better than ITMF did. The students perceived that TC developed their collaborative skills, continuously supporting their critical thinking skills, intercultural communicative competence, and problem-solving skills. Limitations, implications, and recommendations for further research are discussed.

The purpose of the present study is to examine the contribution of professional learning community of pedagogical instructors, training teachers, and teaching students in clinical model for teacher education to their professional development. The prior is carried out through examining a variety of categories: namely, collaborative learning, personal responsibility, collective responsibility, reflective pedagogical discourse and action research, knowledge development and learning processes. Thirty-three members of the learning community constituted the study community. The research tool is a multiple-choice questionnaire that was developed for the requirements of the research and personal feedback on open-ended questions. The quantitative data collected by the questionnaire indicated that the learning community of the clinical model for teacher education contributed greatly to the professional development of all participants regardless of field of knowledge, role in the training process, and the curricular activities offered by colleges and schools. The findings revealed a negative relationship between the field of teacher education among the participants on the one hand, and professional development on the other hand.

Recently, researchers have paid more attention to the aspects of classroom learning environments because of their effects on students’ cognitive and effective outcomes. However, current literature reveals the lack of research that explores the factors of classroom environments in Vietnamese context. The present study, therefore, aims to validate the psychometric properties of the 25-items version of the My Class Inventory (MCI), translated into Vietnamese for 487 secondary school students. Factorial analysis showed an acceptable fit for the four-factors structure of the MCI – cohesiveness, competitiveness, satisfaction, and friction – to be appropriate for secondary school students. Internal consistency reliabilities of the general scales and four subscales were satisfactory. Results support the suitability of the MCI to assess students’ classroom environment within Vietnam’s educational context. The study recommended, among other things, that future studies should be conducted to explore the validity of the MCI on other samples of Vietnamese secondary students.

Numerical thinking is needed to recognize, interpret, determine patterns, and solve problems that contain the context of life. Self-efficacy is one aspect that supports the numerical thinking process. This study aims to obtain a numerical thinking profile of Mathematics pre-service teachers based on self-efficacy. This study used descriptive qualitative method. The data obtained were based on the results of questionnaires, tests, and interviews. The results of the self-efficacy questionnaire were analyzed and categorized (high, moderate, and low). Two informants took each category. The results showed the following: informants in the high self-efficacy category tend to be able to interpret information, communicate information, and solve problems with systematic steps. Informants in the moderate self-efficacy category tend to be able to interpret and communicate information, but tend to be hesitant in choosing the sequence of problem-solving steps. Meanwhile, informants in the low self-efficacy category tend not to be able to fully interpret the information. As a result, the process of communicating information and solving problems goes wrong. Another aspect found in this study is the need for experience optimization, a good understanding of mathematical content, and reasoning in the numerical thinking process.

This study aimed to explore online and distance learning (ODL) issues related to higher education during the coronavirus disease (COVID-19) in Nepal. We applied an online survey design with a five-point Likert scale. We surveyed 71 (57 male and 14 female) postgraduate students in science education at a public higher education institution in Kathmandu, Nepal. A Principal Component Analysis identified four major constructs as the components of ODL issues. They are scarcity, efficiency, access, and inconvenience. The results of the Independent Samples Test (t-test and ANOVA) showed that participants' views about scarcity were significantly different across their gender (male and female) and device use (mobile, laptop, and desktop). They were not significantly different in their views about efficiency, access, and inconvenience across gender, device use, hometown, age group, ethnicity, and school type at .05 level of significance.

Despite receiving increasing attention from mathematics education scholars, there has not yet been any overall understanding of the current state of realistic mathematics education (RME). To address this gap, this study aims to provide a review of 288 studies on realistic mathematics education from the Scopus database between 1972 and 2019. Using descriptive and bibliometric analyses, this study addresses four research issues as follows: (i) the total volume, growth trajectory, and geographic distribution; (ii) the most influencing authors and research groups; (iii) the most influencing sources (i.e., journals, books, conferences); and (iv) the most important topics. Several implications for not only mathematics education scholars but also other stakeholders, including policymakers, school managers, mathematics teachers, may not be considered in this study.

Lesson planning is considered to be an important and efficient tool for effective teaching and learning process. Preparations of effective lesson plan requires teachers to be competent in the pedagogical content knowledge (PCK). This study investigated how the mathematics teachers’ PCK impact their competences on designing effective lesson plans. Twelve in-service mathematics teachers from public secondary schools in Unguja-Island (Zanzibar) of Tanzania were involved. The data were collected using the reviewing of the teachers’ mathematics lesson plan documents and teachers’ interview. The data were analyzed in both quantitative and qualitative mode based on the lesson plan framework guideline (LPFG) and the criteria for better planning of the sections jointly with PCK abilities indicators. The percentage average of occurrence of the sections in the teachers’ designed lesson plan (DLP) and the percentage of occurrence of different category within the sections of the DLP in relation to the criteria were determined. Also, the challenges faced by the teachers in their DLP were identified. The result of the analysis revealed that the PCK competences of mathematics teachers are not good enough to impact their DLP, as some of their designing lesson plan sections were occurred inconsistently. Also, the implementation of PCK competences for effective mathematics teaching found to be at developing stage, as some criteria related to it were not clearly observed in their DLP. The study recommends the demand of in-service training for mathematics teachers on the implementation of teachers’ competences particularly PCK in the lesson plan designing for effective classroom practices.

Technological tools are means by which online teaching could encourage the engagement of students, especially elementary students. The present research studies how elementary teachers develop their use of technological tools in their asynchronous and synchronous online teaching, specifically when this online teaching occurs during emergency education. The research was conducted in the academic year 2019/2020. We interviewed two elementary teachers, where one of them taught asynchronous lessons more than synchronous, while the second taught synchronous lessons more than asynchronous. We analyzed the data using two frameworks: one for interaction type and one for engagement type. The research results indicated that different interaction types influenced teachers’ decisions to use technological tools. In addition, what concerned the teachers’ use of tools at the beginning was the cognitive engagement, but they advanced towards focusing on behavioral and the affective engagement.

This study investigated student teachers’ teaching self-efficacy level and factors that predict it (using five-factor mentoring model). Two hundred and ten third and fourth-year student teachers (N=100/N=110; 93.8% females) were involved in the study and asked to complete a self-report questionnaire. The “Mentoring for Effective Primary Teaching” instrument and “Teachers' Sense of Efficacy Scale” were used to collect the data. Findings indicated that higher levels of student teachers' self-efficacy are positively associated with the level of mentoring experience during the teaching practicum. The results found that fourth-year students reported significantly higher levels of teaching self-efficacy than third-year students. This study reported that there is a significant mean difference in student teachers’ self-efficacy beliefs in terms of having parents in the teaching profession. A multiple regression found that mentor teachers’ personal attributes are the best predictor of student teachers' teaching self-efficacy beliefs.

The embodiment of teacher leadership has currently shifted onto the practice of teacher collaboration due to its potential to solve students’ problems such as low critical thinking skills. Accordingly, this study quantitatively aimed to examine the effect of teacher collaboration on educational management students’ critical thinking skills as well as their critical thinking retention. Subsequently, it qualitatively investigated the students’ perspectives on teacher collaboration. 60 students selected randomly took part in the experimentation, in which 30 students were taught with teacher collaboration, and other 30 students were taught with individual lecturing. 10 students taught with teacher collaboration were further selected purposively to be interviewed for the qualitative investigation. Descriptive statistics alongside paired and independent t-tests were deployed to analyze the experiment results, and an interactive model was adopted to analyze the qualitative findings. The experiment showed that teacher collaboration had a more positive and significant effect on students’ critical thinking skills than its counterpart did. The students taught with teacher collaboration enjoyed good retention of critical thinking skills as well. The students perceived that teacher collaboration improved their collaborative skills, awareness, and metacognitive skills in learning. Implication, limitation, and recommendation are discussed.

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.

This study aimed to describe the differences in students' creative thinking skills in a problem-based learning model with scaffolding in the biochemistry course. This study was designed using a quantitative explanatory research design with a sample of 113 students of the Jambi University Chemistry Education Study Program. In this study, the researcher used the experimental class and control class. The sampling technique used is total sampling and purposive sampling. The research data was taken by observation, test, and interview methods. The quantitative data analysis used was the ANOVA test and continued with the Post-Hoc Scheffe’s test. The findings of this study indicate that the results of the ANOVA test indicate a significant difference in the average creative thinking results in terms of psychomotor aspects with the acquisition of significance scores of 0.000. In addition, the results of this study indicate that class A students have higher creative thinking skills than class B and class C. This is because class A students use a problem-based learning model integrated with scaffolding in their learning.

This study aimed to determine the effect of cognitive and affective factors on the performance of prospective mathematics teachers. Cognitive factors include cognitive independence level and working memory capacity, while affective factor include math anxiety. Mathematical performance was then assessed as basic math skills, advanced math skills and problem-solving ability. This research combined quantitative and qualitative research methods. In order to determine the effects of cognitive independence, working memory capacity, and math anxiety on math performance, multiple regression tests were used. To then see the effects of these three factors on problem-solving ability, a qualitative approach was used. Eighty-seven prospective math teachers participated in this study. Based on the results of the multiple regression, it was found that the level of cognitive independence affects basic math skills but has no effect on advanced math skills. Working memory capacity was seen to positively affect math performance (basic and advanced math skills, problem-solving skills), while mathematics anxiety demonstrated negative effects on advanced math skills and problem-solving skills.

Visual representations and the process of visualisation have an important role in geometry learning. The optimal use of visual representations in complex multimedia environments has been an important research topic since the end of the last century. For the purpose of the study presented in this paper, we designed a model of learning geometry with the use of digital learning resources like dynamic geometry programmes and applets, which foster visualisation. Students explore geometric concepts through the manipulation of interactive virtual representations. This study aims to explore whether learning of geometry with digital resources is reflected in higher student achievements in solving geometric problems. This study also aims to explore the role of graphical representations (GRs) in solving geometric problems. The results of the survey show a positive impact of the model of teaching on student achievement. In the post-test, students in the experimental group (EG) performed significantly better than students in the control group (CG) in the overall number of points, in solving tasks without GR, in calculating the area and the perimeter of triangles and quadrilaterals than the CG students, in all cases with small size effect. The authors therefore argue for the use of digital technologies and resources in geometry learning, because interactive manipulatives support the transition between representations at the concrete, pictorial and symbolic (abstract) levels and are therefore important for understanding mathematical concepts, as well as for exploring relationships, making precise graphical representations (GRs), formulating and proving assumptions, and applying different problem-solving strategies.

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.

This research is a developmental research aiming at developing a good mathematical test instrument using polytomous responses based on classical and modern theories. This research design uses the Plomp model, which consists of five stages, (1) preliminary investigation, (2) design, (3) realization/construction, (4) revision, and (5) implementation (testing). The study was conducted in three vocational schools in Lampung Province, Indonesia. The study involved 413 students, consisting of 191 male and 222 female students. The data were collected through questionnaire and test. The questionnaire was used to identify the assessment instruments currently employed by teachers and to be validated by the experts of mathematics and educational evaluation. The test used an open polytomous response test numbering of 40 items. The data were analyzed using both classical and modern theories. The results show that (1) the open polytomous response test has a good category according to classical and modern theory. However, the discrimination power of test items in classical theory needs several revisions, (2) the assessment instrument using the polytomous response of open multiple choice can guarantee information on the actual competence of students. This is proven by the fact that there is a harmony between the analysis result obtained from classical and modern theory from the students' arguments when giving reasons for their choices. Therefore, the open polytomous response test can be used as an alternative to learning assessment.

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.