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.

Geometric thinking affects success in learning geometry. Geometry is studied from elementary school to university level. Therefore, in higher education and basic education, it is necessary to carry out a systematic review in order to obtain tips for improving geometric thinking skills. A systematic review of geometric thinking was done in this study. In this study from 2017 to 2021, geometric thinking was investigated in the form of a synthesis review of the effect size of the given treatment. This is a comprehensive discussion of theories, models, and frameworks on the topic of geometric thinking from 36 articles. The research findings revealed that the interventions used were predominantly effective, with effect sizes ranging from "small" to "very large," with the "very large" effect obtained in the intervention of van Hiele's learning phase and various technology-based-media and concrete manipulative media. The research trend was reflected through twelve clusters of interrelated keywords. The results of this literature review suggested that it is necessary to carry out a specific study on how to achieve the highest level of geometric thinking, a more detailed form of scaffolding, and concrete manipulative media and technology that can be explored for a certain level of the participants’ geometric thinking.

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.

This review explores research into the effects of collaborative learning interventions on critical thinking, creative thinking, and metacognitive skill ability on biological learning. The search was conducted from 2000 to 2021. We found 36 critical thinking studies, 18 creative thinking studies, and 14 metacognitive skill studies that met the criteria. The results showed that collaborative learning influences large categories (ES=4.23) on critical thinking, influences large categories (ES= 7.84) on creative thinking, and influences large categories (ES= 8.70) on metacognitive skill. The study's findings show that collaborative learning interventions have the highest impact on metacognitive abilities. Based on these findings, we provide insights for education research and practitioners on collaborative learning interventions that seem to benefit the empowerment of high levels of thinking at various levels of education to be combined with various other interventions in the future. The type of intervention, level of education, materials used, and study quality criteria were included in the study.

Mathematics anxiety has always been an interesting topic to study and discuss in the world of education. This study aimed to (1) investigate the impact of teacher roles, mathematics content, and mathematics anxiety on learning motivation, and (2) explore how students manage mathematics anxiety as a stimulus in learning motivation. This research used mixed methods with embedded concurrent design. The research sample was 100 respondents. The questionnaire instrument was arranged based on a Likert scale with 5 answer choices. This study used a structural equation model and confirmatory factor analysis as data analysis methods. The research findings indicated that: (1) a significant direct impact emerged between mathematics anxiety and students' learning motivation, and there was an indirect impact between the teacher's role and mathematics content on learning motivation; (2) students could manage mathematics anxiety when they were in optimal anxiety or positive anxiety so that they could overcome mathematics anxiety as a stimulus for achievement and deconstruct anxiety into motivation according to experience and personal resources. Results of this study confirmed that the statements about mathematics anxiety which always has a negative impact on motivation and learning achievement is not universal, because mathematics anxiety does not always have a negative impact on motivation and learning achievement if this anxiety is managed effectively.

This mixed method case study examined potential influences of social agents or immediate environments on individuals’ metacognition. Via quantitative methodologies, 122 pre-service teachers’ metacognition was measured by the Turkish Metacognitive Awareness Inventory, and metacognitive components did not show any variations across majors, locations of previous studies, the highest degree of education in the family, frequently communicated friends, and regions. Regression analyses revealed that friends were a significant predictor for metacognition. Also, focus group interviews were analyzed thematically via deductive codes regarding the theory of metacognition. Findings confirmed that friends may support individual metacognition at all levels, metacognitive knowledge, regulation, and experiences through cooperation, modeling, reflections, discussions, feedback, and peer evaluation. Pre-service teachers’ engagement on the social media may also support their regulatory strategies due to models’ task performances or by their reflecting upon those performances. Teachers and family may support metacognitive knowledge, specifically career goals via expectations, anecdotes, and experiences. On the other hand, schools and the Turkish culture may impose some limitations on the youth, and they may engage in reflection and self-questioning to manoeuvre negative experiences or conflicts. Thereby, cross-national and longitudinal studies are highly suggested to explicate the social foundations of metacognition.

Successful teaching requires teachers' reflections and metacognitive awareness. However, few studies have investigated the impacts of reflections on teachers' metacognitive awareness in teaching. This study aimed to examine whether or not reflections can empower Indonesian pre-service English teachers' metacognitive awareness in teaching. Mixed-methods research was conducted to collect quantitative and qualitative data from 36 pre-service English teachers (PSETs) in two micro-teaching classes at the Undergraduate Program, Sanata Dharma University, Yogyakarta, Indonesia. Quantitative data from the pre-semester and post-semester were analyzed descriptively and statistically. Qualitative data from reflections and focus group discussions (FGD) focused on determining key issues related to PSETs' metacognitive awareness in teaching. Data analyses revealed that Indonesian PSETs' perceived metacognitive awareness in teaching increased post-semester. They also admitted the positive contributions of reflections in enhancing their metacognitive awareness in teaching. The increase was primarily attributable to the implementation of explicit reflections of the elements of metacognitive awareness in teaching. This research provides recommendations for teachers, lecturers, and future researchers.

Development research demands a improvement in the implementation of learning by developing products based on learning needs. The products of this development are teacher book and student book based on the realistic mathematic education (RME) approach for package A in statistics material. Validity testing in this study includes instrument validation, self-evaluation, expert validation, one-to-one evaluation. Aiken's V and Intraclass Correlation Coefficient (ICC) are used to determine the validity and reliability of the product. The result of research shows that the instruments and prototype are valid and feasible. Then, the ICC obtained moderate stability, it also categorize reliable. In terms of context and hypothetical learning trajectory (HLT) developed, the products should be revised to achieve meaningful learning.

Metacognitive, critical thinking and opinion expression are in high demand. This study aimed to investigate the effects of the blended project- based literacy that integrates school literacy movement strengthening character education (literasi berbasis proyek terintegrasi GLS dan PPK: Li-Pro-GP) learning model on students' metacognitive skills, critical thinking, and opinion expression. A post-test experimental design was used to answer the research question. The study was conducted from August to October 2021 at Government Junior High School 23 Malang. Seventh-grade students were selected as research participants. The participants included 30 students from class VII-2. The research instrument was five essay questions to measure critical thinking skills. Material and assessment experts validated the essay questions developed by the researcher. The items that were declared valid were tested for validity. The result showed five valid items with high reliability of .670. Metacognitive skills were measured using the Metacognition Awareness Instrument (MAI), which consists of 40 items. The questions declared valid were tested for validity with a very high reliability of .953 for 37 items, and only three items were invalid. The ability to express an opinion was measured with an observation questionnaire validated by experts with a valid instrument score. Data analysis was performed by path analysis using the SmartPLS software. The results showed that the Li-Pro-GP blended learning model significantly strengthened students' metacognitive skills, critical thinking, and opinion formation.

The aim of this work is to characterise the understanding that students in compulsory secondary education (14-16 years old) have of number sequences in graphical representations. The learning of numerical sequences is one of the first mathematical concepts to be developed in an infinite context. This study adopts the focus of semiotic representations as its theoretical framework. The participants consisted of 105 students and a qualitative methodology was used. The data collection instruments were a questionnaire and a semi-structured interview. The results allowed for three student profiles regarding number sequences in graphical representations to be identified. These profiles may facilitate a possible progression in the learning of number sequences for students in compulsory secondary education to be considered. Therefore, the results presented in this study can provide information about the learning hypotheses of mathematical tasks related to numerical sequences and can help in the design of such tasks.

Teachers play an important role in helping students improve their learning and achieve the intended curriculum outcomes. Therefore, it is essential to look at teachers’ knowledge, understanding, and perceptions of any educational innovation. The present study aims to examine knowledge, understanding and perceptions of Rwandan science teachers with respect to the competence-based curriculum (CBC) introduced in 2015. The 2015 curriculum framework included features like the rationale for its adoption, the concept of competence, different competences to be developed by learners upon CBC implementation, principles guiding CBC implementation, and cross-cutting issues to be addressed by CBC implementation. This research is a multiple case study that adopted a qualitative approach with interpretivism paradigm. Twelve science teachers from three secondary schools, selected based on their differing teaching experience, participated in the study. Data were collected through semi-structured face-to-face interviews. The data were transcribed and qualitatively analyzed using content analysis. The findings revealed some satisfactory knowledge, understanding and perceptions of science teachers. Further, knowledge and understanding gaps as well as negative perceptions of CBC were identified. Towards the effective and efficient implementation of the CBC, this research suggests appropriate training and establishment of the school community of practices for improving teachers’ experience of the CBC.

This study examined students’ calibration of performance in a sport skill in relation to their performance in an executive functions test. A total of 265 students in the fourth, fifth, and sixth grades participated in the study. The students took an executive functions test, and then they were tested on a basketball shooting test, after having provided a personal estimation regarding their performance. Based on students’ actual and estimated performance, the bias index was calculated to classify students into three categories; accurates, underestimators and overestimators, while the accuracy index (absolute values of the bias index) was also calculated. The results showed a positive but small magnitude relation between students’ scores in the executive functions test and their performance calibration, while accurate scored higher on the executive function test compared to over estimators and under estimators. These results are similar to those of previous studies with elementary school children that employed cognitive tasks and were discussed with reference to theoretical and empirical implications.

This qualitative study is part of a feasibility study conducted by State University of Malang (SUM), Indonesia, to determine stakeholder needs for a study program specializing in managing bilingual education. The study participants included one SUM lecturer who held a managerial position in the division of SUM laboratory schools and twelve teachers/leaders of bilingual schools in some cities in East Java and South Sulawesi. Data were collected using an online questionnaire and in-depth interviews with two selected participants. The results indicate issues related to teachers' English competencies, materials development, and integrating an internationally-oriented curriculum into the national curriculum. Teachers' low English competencies prevented them from conducting teaching and learning bilingually and developing instructional materials in appropriate English. In addition, the combination of national and international curricula was identified as the biggest challenge for bilingual schools. The teachers/leaders were never trained to manage the bilingual program. They learned based on their experiences, and it took years to figure out how to manage bilingual programs successfully. Therefore, the establishment of a new program of study is needed.

This study used the structural equation modeling (SEM) approach to test a model that hypothesized the influence of self-efficacy, self-control, emotion, and engagement on student academic performance. The structural equation modeling model was developed to link all the study variables with a literature review to describe the interrelationship. Data collected were from 413 college students in their second year. The results show that self-efficacy, self-control, emotion, and engagement predict student academic performance. And through emotion and student engagement, both self-efficacy and self-control predict student academic performance indirectly. Practically the measures used in this study give more information about the learning environment in higher education settings than those usually come from traditional practices faculty received in the classroom, such as student rating forms and feedback. The main findings of this study have some implications for higher education, theory development, measurement, and future research.

Digital puzzle worksheet (DPW) is innovative teaching material designed using open-source software such as Canva and Liveworksheets. Subsequently, puzzle games in the form of questions can improve problem-solving skills by engaging in metacognitive processes. This research used a case study method to describe the impact of applying the DPW to identify the metacognition levels of students through the assignment of contextual maths problems. The source of informants was third-grade elementary school students in West Java, Indonesia. Test instruments, observation sheets, and interviews were used, while data analysis adopted an iterative model. Furthermore, the method and time triangulation increased confidence in the resulting conclusions. The results showed that male students were at the metacognitive level of ‘strategic use’ and ‘aware use’ for females, based on the characteristics of the observed metacognitive level. The most prominent feature was identifying and determining problem-solving strategies with metacognitive awareness. The reaction of students to the DPW improved problem-solving abilities, expanded conceptual understanding, and enhanced digital technology competence. Therefore, this experience was applied when solving contextual mathematical problem assignments.

Learning evaluation is a complex task, and this study illustrates the Constructive Assessment of Learning as a complementary alternative to evaluate the computational cognition schema construction. The authors designed a mental representational task under the Chronometric Constructive Cognitive Learning Evaluation Model. Control and experimental groups performed a conceptual definition task based on the Natural Semantic Network technique (NSN). They defined ten target concepts related to computational cognition theory, using verbs, nouns, and adjectives as definers. Afterward, the participants rated the conceptual quality of each definer one by one, on a scale of one to ten; the higher the rating, the greater the quality of the definer to define the target concept. The results indicate that the NSN technique was sensitive to measuring and discriminating cognitive changes in knowledge structures produced by the specific learning of computational cognition theory. In contrast, the learning of broad psychology subjects produced general cognitive changes without organization related to the specific learning of the evaluated course. Data showed more sophisticated cognitive change patterns on the evaluated schema in the experimental group than in the control group. The findings of this study suggest that cognitive assessment techniques can be helpful in the formative assessment of learning and provide clear indicators of students' knowledge management skills.

Mathematical confidence and critical thinking are essential in preparing preservice teachers. Thus, this study explored the perceived confidence and critical thinking levels in mathematics of elementary and secondary preservice teachers. A descriptive-correlational-comparative research design was employed, with a sample of 107 randomly selected preservice teachers enrolled in the Bachelor in Elementary and Secondary Education programs of a state university in West Philippines. The study used arithmetic mean, standard deviation, Spearman’s rank-order correlation, and independent samples t-test to analyze and draw conclusions from the data. The findings revealed that the preservice teachers have high confidence and critical thinking skills. Their program significantly correlates with their perceived critical thinking and confidence level. Besides, the preservice teachers’ confidence levels and perceived critical thinking skills significantly correlate. Further analysis found significant confidence and critical thinking differences favoring the secondary over the elementary preservice teachers. These findings provide insights that would benefit mathematics educators in providing priority programs to enhance the preparation of future math teachers.

During the pandemic, online classes were held around the world, which facilitated access to observe teaching practices. This is a relevant experience, since there are few reflective instances in schools, even though public education policy emphasizes reflective practice in the professional development of teachers. In this regard, the observation of videos shows high reflective potential, helping to problematize and analyze teaching. This research sought to describe the functions and experience of classroom video observation with a reflective approach of teachers from four educational schools in the city of Concepción, Chile. The approach was interpretative, an instrumental case study design, with nine participants, selected by a maximum variation sampling and safeguarding ethical criteria. In-depth interviews were conducted and subjected to content analysis. The results showed three functions of the video observation, one instrumental and two others of reflective approach. In addition, the video observation was recognized as a reflective experience that facilitates the reconsidering of teaching performance, renewing practices, and developing reflective habits; also, facilitating and hindering elements were found in the video observation. It is concluded that the functions and experience of video observation could improve and professionalize teaching, based on the awareness and understanding of practice.

21st-century learning requires teachers and students to integrate literacy skills, scientific literacy, mathematics, reading, writing, and technology in the learning process. Students must have initiative, discipline, responsibility, confidence, motivation for independent learning, and the ability to think critically about the problems presented. This study aims to determine students' autonomous knowledge and critical thinking abilities (CTA) using mobile learning technology (MLT). This research is a quantitative study involving 83 students from four junior high schools in the city of Mataram. The data collection for independent learning and students' CTA was carried out by giving tests and non-tests to students. The test conducted was a written test in the form of a description of 10 questions covering indicators of CTA. The non-test was conducted by giving a student learning independence questionnaire with as many as 15 statements, including five indicators of learning independence. This quantitative research data analysis uses the Rash modeling application with the help of Ministep software. The analysis results show that the learning independence of male and female students in the four junior high schools obtained a percentage of 77.38% in the “good” category. Each indicator of learning independence accepts a percentage above 70%, which is in the excellent category. Meanwhile, the CTA of male and female students from the four junior high schools obtained 75.28% in the “good” category. Each indicator of CTA also gets a percentage of more than 70%, meaning that each indicator is in a good category.

The aim of this exploratory case study is to investigate the impact of the pandemic as an unexpected situational variable on university instructors’ perceptions and attitudes towards technology integration, as well as their foresight about the future of education in post Covid-19 era. The data for the study came from autobiographies, narratives, and opinionnaires. The findings revealed that the degree of familiarity with educational technology and eagerness to integrate technology into education made a difference in academicians’ adaptation to the new mode of delivery. As for their predictions for the future, an increase in the use of educational technology not only in teaching, but also in testing and assessment is expected. Participants also emphasized a need to enhance the infrastructure to avoid any further technical issues and offer continuous development opportunities for teachers and students to become familiar with new technologies.