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.

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.

The implementation of Lesson Study (LS) varies considerably across countries and institutions and is still in a phase of adaptation and experimentation. This article explains the result and the process of a school-based initiative endeavor to implement LS at a suburban elementary in Padang, Indonesia. The study involved 13 teachers, the principal and 6 classes of students. The data were collected through observation and interview. They were classified on the basis of three noticeable emerging themes- teacher collaboration, scaffolding, and reflection. The data were analyzed qualitatively. The results of data analysis reveal a promising improvement in these aspects. Implementing school- support LS increased by weaving the concept into practice helped teachers develop their professionalism gradually. It was obvious that the teachers felt more at ease to work collaboratively when they designed the lesson. This also affected their design which showed more meaningful learning activities and challenging tasks. Then, the teachers improved the way they scaffolded the pupils. The content of reflection and the way the results of reflection were conveyed became better. The principal’s support and the teachers’ strong willingness to elevate their quality apparently took an important role. In spite of that, there were some challenges in carrying out collaboration, providing appropriate scaffolding, and doing reflection. Changing the teachers’ common practice to LS apparently needs some adjustment and time.

This longitudinal study focuses on evaluating grade 7-9 school students’ perceptions of intervention modules intended to be relevant, as well as promoting learning attributes to raise awareness of science-related careers. Students are taught through six purposely developed and designed career-related teaching–learning modules (C-TLMs). Each module is initiated by means of a career-related scenario, followed up by promoting conceptual science learning plus drawing attention to careers to which each module intends to relate. Student perceptions are obtained by means of a questionnaire after each module with respect to its relevance and also the mean by which the learning environment raise interest, enjoyment and motivation associated with career awareness. Outcomes show that, in general, students participating in this study agree that the developed C-TLMs are relevant and students value the learning experienced through the different module contexts. Nevertheless, student appreciation of the specific inclusion of career awareness components in the modules is mixed.

This research aims to determine the relationship between the seven components of Pedagogical Content Knowledge possessed by kindergarten teachers. The animal theme was chosen to determine the pedagogical content knowledge component profile of 30 kindergarten teachers, with data obtained through classroom observation, interviews, learning plan documentation. This study employed a mixed-method design, a type of sequential explanatory research with the structural equation modeling-partial least squares and descriptive tests used to quantitative and qualitatively analyze the data obtained. The result showed that: the relationship between the components is specified in the context of using themes to learn in the kindergarten; analysis of the relationships between the components is carried out separately, such as the relationship of all 7 (seven) components to 1 (one) pedagogical content knowledge component of kindergarten teachers; Orientation of teaching has the strongest relationship with Knowledge of Instructional Strategies for Teaching; Knowledge of assessment of early childhood education has the weakest relationship with knowledge of early childhood education subject matter; pedagogical content knowledge components for kindergarten teachers that are often found and associated with other components in a learning episode are orientation of teaching, knowledge of early childhood education curriculum, and knowledge of instructional strategies; there are pedagogical content knowledge component for kindergarten teacher that often found and connection with other component in a learning episode.

The objective of this research is to analyze the twelfth graders' mathematics critical thinking skills using a mathematics learning model to stimulate fundamental critical thinking abilities of science courses in SMA Negeri, Pacitan Regency, East Java Province, Indonesia. This quasi-experimental research design was used in this study with one group posttest only design using multiple substantive posttests. The sample of 141 students from the total population of six public schools involving the twelfth graders of the natural sciences was selected through purposive sampling technique, data were taken through tests of students' critical thinking skills and interviews. The data analysis consists of five stages, namely an analysis of one sample t-test, an analysis of students' grades, an analysis of problem-solving stages, an analysis of critical thinking abilities indicators, and an analysis of mathematics critical thinking abilities indicators. The results showed (1) The results of the one sample t-test show that the mathematics learning model is effective to stimulate critical thinking, which means that the application of the mathematics learning model is effective to stimulate critical thinking; (2) the overall grades of students that met the minimum mastery criteria; (3) the data analysis of eleven problem-solving stages proves that the criteria for critical thinking abilities are categorized as good and very good. The highest score indicator considers the principle and definition of transformation, while the lowest grade indicator is mainly concerned with the questions on right and coherent steps; (4) the critical thinking skills have seven indicators that highlight the criteria of students' critical thinking abilities categorized as good and very good. The indicators that get the highest score determine the definitions of terms, while the indicators of the lowest score determine the action; (5) the results of the analysis show indicators of mathematics critical thinking skills that have eight indicators. The criteria of students' critical thinking abilities met good and very good categories along with indicators with the highest value score by considering the definitions of terms, while the indicators of the lowest score deal with the habit of caution.

The teaching and learning in Indonesian elementary schools focus both on students’ concept mastery and character development.  Teachers are encouraged to implement a learning model that integrates character values and yet promote learning interest.  This study was aimed at investigating the mathematics learning interest of grade three elementary school students through the integration of thematic learning with character education, referred to as the character-integrated thematic learning model. Using a quasi-experimental pretest-posttest control group design, this study involved 70 students and employed a questionnaire to obtain data, which were analyzed using descriptive and inferential statistical techniques. Descriptively, the average scores of students' learning interest before and after the implementation of the character-integrated thematic learning model are respectively 117.54 and 140.69 with the gain index of 0.44 in the fair category. While score obtained for thematic learning model are 116.11 and 120.23 with the gain index of 0.07 in the low category. The results of the statistical inference analysis using the independent sample t-test were obtained t-count of 4.98 > t-table of 1,667. This indicates that there has been a significant increase in students’ learning interest scores with the implementation of character-integrated thematic learning model. Thus, this learning model can be applied to pay attention to the development of student’s character which has an impact on increasing student’s learning interest.

Professional teaching competence is significantly influenced by beliefs about teaching and learning. Prospective teachers start their teacher training with quite persistent beliefs about learning processes. These beliefs are mainly influenced by the way they experienced their own lessons as a student at school. Previous biology lessons at school might be linked to the imagined biology lessons of prospective teachers. We interpret these future lessons as a representation of their beliefs about teaching and learning. The present study investigated how prospective teachers remembered their previous biology lessons as well as how they imagine the lessons they will conduct in the future. The drawings of 181 prospective biology teachers in Germany (Mage = 22.1; SD = 3.6; 64.1 % female) were analyzed using the Draw-a-Science-Teacher-Test Checklist (DASTT-C). Results of the study indicate that the lessons they experienced were mainly teacher-centered, whereas the lessons they imagined were mainly student-centered. Results of a chi-square-test indicate that there is no connection between these two drawings of biology lessons. This suggests that experiences from one’s own schooling may have no connection with the way prospective teachers would like to teach in the future. The results of this study might be used as a basis for further studies examining the development of prospective biology teachers’ beliefs about teaching and learning.

The aim of this study is to find out the influence of online project collaborative learning and achievement motivation on problem-solving ability in the area of citizenship. This study uses a quasi-experimental design. The total of study subjects is 71 students of higher education; consist of 36 students as the experimental group and 35 students as the control group. Data of problem-solving ability is obtained by using an essay test, while data of achievement motivation is obtained by using a questionnaire. Data analysis is done with ANOVA (Analysis of Variance). The study results show that online based-project collaborative learning strategy has a positive influence on civic problem-solving ability. There is a difference in civic problem-solving ability between students with high achievement motivation and students with low achievement motivation. Online project collaborative learning strategy and achievement motivation interact in influencing the civic problem-solving ability of students. It is recommended that further study corroborate this finding by testing again the effectiveness of using online-based project collaborative strategy in the aspect of problem-solving in a similar field of study.

The progressive integration of mobile technology in the classroom is generating new scenarios to innovate teaching methods. The aim of this study was to analyse the perceptions of university students toward the use of Socrative and its implications in gamified learning situations. This is a descriptive-survey investigation, complemented with content analysis techniques. The data were collected using a questionnaire designed ad hoc by Quiroga-Estévez et al. and structured interviews. The sample consisted of undergraduate students (n=472) of the degree of Primary Education from the Faculty of Education Sciences of a Spanish university. The results show significant changes in the learning process of the students, in social relations and in the teaching methodology.

Learning in high schools has used a lot of smartphone assistance to make it easier for students to understand the material explained by the teacher. However, with the many uses of smartphones in learning, of course, it must provide positive benefits to the ability of students, especially the science literacy ability. In this study, the objectives to be achieved are to examine how much the smartphone's usability in physics learning, examine students' science literacy and examine the effect of the smartphone’s usability on students' science literacy in physics learning. The method used in this study is a quantitative method with a research design used is a one-shot case study. The data on smartphone usability is obtained using a questionnaire, and science literacy of students is obtained through on physics science literacy test. The results of this study indicate that the smartphones usability and students' science literacy in physics learning are respectively in the high and medium categories with a respective percentage of 57.20% and 36.36%. The students' science literacy is influenced by the smartphone's usability in physics learning by 34.30%. These results indicate that smartphone usability by most students is very high, but has not been able to contribute optimally to students' science literacy. Therefore, special treatment is needed in utilizing the use of smartphones in physics learning so that students' science literacy can be optimized.

The initial period of young teachers' careers is always significant in developing their professional capability. This is when teachers start coming into contact with practical teaching, which is more diversified than the theoretical training at the University. In this research, the authors propose a process of combining the Lesson Study model with the micro-lesson teaching method. This process helps young teachers, especially those working in the Northern of Vietnam, improve their planning and implementation of a lesson plan following the Lesson Study model. It has four steps: (1). Plan a Lesson Study; (2). Organize demo teaching and attend lessons; (3): Self-evaluate and discuss lessons; (4): Apply for practical teaching. The methodology research is carried out on 62 young teachers in Vietnam to measure the pre-impact and post-impact results. The results reveal that the researched group has made significant progress on their teaching performances (the average points for their capability of planning lessons have increased from 2.54 to 3.28 and the average points for their capability of implementing lesson plans have increased from 2.48 to 3.18). This development can be considered as an excellent experience to bring the Lesson Study model into Vietnamese schools to improve teaching sustainably.

In recent years, integrating technology into education continues to attract more attention along with the rapid growth of information and communication technology. In the literature, teachers’ technological pedagogical content knowledge (TPACK) plays an essential role in successfully integrating technology into teaching and learning contexts. This study aims to provide a comprehensive view of prior literature and some possible directions for researchers and educators for further TPACK studies. A total of 106 papers were chosen from the Springer database and synthesized. Frequency of annual publications, number of documents with and without TPACK in the title, research methods, number of authors, major contributed countries, most cited papers, and most productive journals in TPACK research were reviewed. The results showed that TPACK has continued to receive attention from researchers in the past decade. Among the reviewed publications, each of the 53 documents included the term TPACK in the title and abstract. To date, qualitative methods were more frequently adopted in TPACK research than quantitative, mixed, and non-empirical methods. Most papers published in TPACK research have two authors. When ranked by country, the US has the highest contribution compared to other countries in this field, followed by Turkey, Australia, Singapore, and Taiwan. The authors with the most cited papers were Min-Hsien Lee and Chin-Chung Tsai with 210 citations. Based on the number of articles published in TPACK, The Asia-Pacific Education Researcher and TechTrends seemed to be the most contributing journal in this field.

The formed primary level and dynamic and sustainable development of technological competence provides quality management of teaching activities, increases the efficiency of the educational process, accelerates the achievement of pedagogical goals. Delphi expert assessment technique is increasingly used in the paradigm of pedagogy. Due to the set of advantages and objectivity of assessments, it has become the dominant method of this study. The objective of the study is to determine the current level of manifestation of technological competencies, as well as generalized prospects for development and improvement of the identified level within the selected group of freelance teachers using the technology of independent expert assessments –the Delphi method. In general, the following methods were used in the current study: methods of data collection and coordination, anonymous brainstorming, Delphi expert assessment technique, statistical and mathematical processing of results through Delphi formulas, comparative method, generalisations. The diversified approach to the interpretation of the technological competence of faculty members allowed determining: a) the level of faculty members’ knowledge of modern educational technologies at 89.1%; b) activity-practical aspect of training at 83.0%; c) dissonance between the theoretical and empirical level of teacher training and the algorithm for fulfilling the potential in practice at 21.5%; d) mastery of individual creative technologies for the organisation of an effective educational process at 55.9%; e) forecasted development of technological competencies of faculty members in the 5-year perspective under the condition of application of special control and skill trainings at 50.7%. Conclusion of the study is that according to the arithmetic mean of experts’ assessments of differentiated levels of technological competence, the overall level was 75.1%. The average result of the initial student survey on the estimating of the teachers’ technological competence was 69.7%. The difference of 5.4% between the data allows stating that both methods were relevant in this particular case.

The study aims to find out the influence of Mistake-Handling Activities to determine mathematical definitions knowledge, which can be regarded as a component of mathematics content knowledge, of teachers on the development of teachers in providing mathematical definitions. Within this framework, Mistake-Handling Activities were carried out with five volunteer mathematics teachers. Written opinions and semi-structured face-to-face interviews were used as data collection tools. During the application, focus group interviews were carried out, and the application was enhanced with discussions. The data were analyzed using the document review method, and codes, categories, and themes were also determined. The results revealed that Mistake-Handling Activities yielded certain emotional advantages such as increasing teachers’ interest and curiosity, critical thinking, self-confidence, awareness, and offering different viewpoints as well as yielding cognitive advantages such as recognizing their shortcomings, acknowledging the importance of knowing the definition of a concept, and using the definition.

Many researchers have separately developed instruments to measure environmental characteristics such as attitudes, values, and knowledge. However, there is no instrument used to measure all these aspects in one comprehensive instrument. This study is meant to develop and validate a green character instrument which reveals student behavior and awareness of the environment. The instrument consists of 40 statement items consisting of 5 aspects, namely private pro-environmental behavior, public pro-environmental behavior, environmental knowledge, environmental values, and environmental attitudes. It was implemented on 1,398 students from 15 universities in Indonesia. The instrument content validation was analyzed by three experts using content validity index (CVI). The construct validity was analyzed using exploratory factor analysis, confirmatory factor analysis, and RASCH analysis. The content validity results obtained CVI scores ranging between 0.8 and 0.9 with a good category, while item reliability was in a fairly good category with a high level of separation index. Construct validation resulted in 34 items (4 items were eliminated after Exploratory and Confirmatory Factor Analysis, and 2 items were eliminated after RASCH analysis) spread over five constructs, namely environmental behavior, environmental knowledge, environmental values, environmental attitudes, and environmental habits. The resulting instrument has a good level of item difficulty, with a well understood response set which can be understood easily by respondents, and without bias. Therefore, it can be used to measure the students’ green character on both male and female.

The Coronavirus disease (COVID-19) pandemic has caused an inevitable shift from face-to-face to distance learning, a phenomenon known as panic-gogy. Parents are the main students’ companions while studying at home. Although various studies show the constraints in this condition, few employ phenomenology that accurately describes people’s experience regarding a situation. Therefore, this study aimed to describe parents’ experience during distance learning mathematics using a phenomenology approach. The participants comprised 71 35-50-year-old parents of junior high school students. A Google form with open-ended questions was used as the main instrument in data collection. Data were analyzed using NVivo-12-assisted thematic analysis in coding, while source triangulation was used to strengthen the data trustworthiness. The results showed that students did not learn the content well due to poor explanations by the teacher. Furthermore, they did not study well at home due to signal constraints and quota limitations. This study recommends blended learning by combining limited face-to-face and online learning.

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.

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.