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 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.

This study investigates the inspiring leadership values in building an excellent inclusive higher education, including proactiveness, high-spiritedness, visionary, and humanist mindset. This was a case study where data were collected through in-depth interviews, direct observation, document analysis, and audiovisual material observation. The analysis was carried out by making data transcription, notes, video recordings, and documents; generating ideas, codifying data, designing themes, and interpreting data. Results show that inspiring leadership with a proactive mindset in policymaking can create original ideas, realize them actively and innovatively as well as solve problems creatively. High motivation leadership is seen through its activeness in asking the academic community to work together in building an inclusive higher education such as by attending activities related to special needs students. Visionary leadership is seen from its ability to build clear and measurable vision, mission, and organizational goals. In addition, it is also capable to see opportunities related to inclusive higher education's future development by generating appropriate policies and finding job opportunities for special needs students. Humanist leadership is an ability to manage challenges, conflicts, and resistance often arising during the process to build an inclusive higher education. Regarding the results, this study implies that inspiring leadership serves as one of the key factors to build an excellent inclusive higher education. However, due to limitations of this study, it is required further studies.

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.

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

In the last decade, vocational education in Indonesia has experienced problems in making career decisions for students, which was exacerbated by the COVID-19 pandemic. Therefore, this research aims to examine the role of self-efficacy and mediate digital literacy, social environment, and counselling guidance in influencing career decision-making. This is an ex-post-facto research design with data collected from a sample of 566 vocational education students in Indonesia through a questionnaire method distributed online using Google Form. The collected data was then analyzed using structural equation modelling (SEM) with path analysis and bootstrap methods. The results revealed that self-efficacy plays a vital role in mediating digital literacy and guiding students in career decision-making. On the other hand, digital literacy, guidance, and counselling have a significant direct effect on self-efficacy and career decision-making. Meanwhile, the social environment only has a significant direct effect on students’ career decision-making. The real role of all elements of vocational education in strengthening self-efficacy, growing digital literacy, monitoring social environment interactions, and providing counselling guidance to students is needed to increase optimism and the quality of career decision-making in vocational education.

Character education is urgent in passing down the ethical and moral values in the cultured community life. The local cultural values are a source of ethics and moral education for elementary school students. The school keeps taking an essential role in cultivating the local values through online character education during the COVID-19 pandemic. This study aimed to analyze the effect of implementing online integrated character education and parental engagement in local cultural values cultivation outcome. The method of this study used an exploratory sequential mixed method design. Collect qualitative data using interview forms, observation, documentation, and quantitative data using questionnaires and portfolios. Qualitative data interpretation used content analysis, and inferential analysis used multiple linear regression. Results revealed that parental engagement, teachers’ performance, and online learning obstacles affect local cultural values cultivation outcome in character education partially and simultaneously for sixth-grade students in Padang City. We suggested teachers improve character education management based on local cultural values by building good synergy and collaboration between them and parents to cultivate noble character behavior among students.

This research aims to determine second-year university students’ understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of 112 student teachers of primary teacher education program at two private universities in Indonesia were involved in this research. A qualitative method with a holistic type case study design was used in this research. The results indicate that a significant percentage of the participants could not correctly interpret and represent fractions. In terms of interpretation, it is found how language could obscure the misunderstanding of fractions. Then, the idea of a fraction as part of a whole is the most widely used in giving meaning to a fraction compared to the other four interpretations, but with limited understanding. Regarding data representation, many participants failed to provide a meaningful illustration showing the improper fraction and mix number compared to the proper fraction. Improvement of fraction teaching at universities - particularly in primary teacher education programs - is needed so that students get the opportunity to develop and improve their knowledge profoundly. We discuss implications for teaching fractions.

This study was conducted following the initial stage of the transition to distance education necessitated by the onset of the COVID-19 pandemic and meeting the various challenges that came with it. At this point, countries and teachers have gained experience in preparing and delivering online education. Therefore, the study aimed to identify the beliefs of primary school mathematics teachers about teaching in synchronous virtual classrooms. It adopted a mixed methods approach, following a convergent parallel design. The overall study sample comprised 410 male and female teachers. A questionnaire was used to collect quantitative data across three dimensions (teaching efficiency, employing the philosophy of active learning, mathematical achievement). There were 31 items (verified for validity and reliability) comprising statements measured using a five-point Likert scale, together with open-ended options for further elaboration. In total, 130 teachers completed the questionnaire. Interviews were conducted with 10 teachers to collect qualitative data. The results show means in the range 3–5.75 for agreement with statements concerning the beliefs of mathematics teachers about teaching in virtual classrooms in the following order of importance: teaching competence; mathematical achievement; employing the philosophy of active learning. The study also found no statistically significant differences attributable to the variables of gender, qualification, or teaching experience, and also that many factors are considered to affect teaching in synchronous virtual classrooms related to the teacher, the family, and the student.

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

The primary goal of this study was to explore the effectiveness of Quizizz in enhancing students' motivation, interest, and achievement in physics. This study was conducted at the Nueva Ecija University of Science and Technology (NEUST) – Gabaldon campus during the second semester of the academic year 2021-2022. This study used both a descriptive and a quasi-experimental one-group pretest-posttest design. The descriptive design was used to describe the student's motivation and interest in learning waves and optics before and after the intervention of Quizizz. The quasi-experimental one-group pretest-posttest design was used to determine the effectiveness of Quizizz in increasing students' motivation, interest, and achievement in physics. The study included 20 students pursuing a bachelor's degree in secondary education with a major in science. According to the findings, before the intervention of Quizizz, students agreed that they are motivated and interested in learning physics, and their performance was average. Following the intervention, students unanimously agreed that they are more motivated and interested in learning physics, and their scores in a specific unit increased. According to the t-test, the intervention of Quizizz significantly increases student motivation, interest, and achievement in physics. It demonstrates that using Quizizz in physics instruction improved students' motivation, interest, and achievement in physics.

The decline in student character is the result of low student learning outcomes. The common student learning outcomes are influenced by several factors, and one of them is teacher-centered, monotonous learning model. For this reason, it is deemed necessary to conduct research that aims to determine the effect of project-based assessment on values clarification technique (VCT) learning on improving students’ learning outcomes by controlling the family environment. This study uses a 2x2 factorial experimental design. The sample was selected through multistage random sampling with 120 students. The two-way ANCOVA data analysis technique was used to analyze the data. The findings obtained after controlling the family environment are: 1) civics learning outcomes from the group of students who used value clarification techniques are higher than those using conventional learning models and 2) civics learning outcomes from the group of students who were given project-based assessments are higher than the group who are given conventional assessments. Thus, it can be recommended that civics education teachers used appropriate VCT and project-based assessments to improve learning outcomes.

The delivery of science, technology, engineering and mathematics (STEM) learning to improve an individual’s competence and future career interests has become a critical scientific undertaking for teachers and researchers alike. A plethora of research has proposed various hands-on robotics activities built on constructivist theories, thereby facilitating the development of knowledge based on reality for scientific and non-scientific stakeholders. Robotics may become an essential focus point within technology provision, which is an essential underlying characteristic for the seminal development of computational thinking (CT). However, despite the potential benefit of CT in developing an individual’s problem-solving skills, strategies for improving this ability through hands-on robotics activities largely remain underexplored. This paper highlights the constructs drawn from hands-on robotics activities in a STEM workshop designed for pre-service teacher students. The qualitative research design involved eight participants to investigate the responses of pre-service teachers to a hands-on robotics activity intended to provide STEM material. The research findings emphasise the correlations between the CT principles and STEM learning phases and underscore the roles played by educational robotics to enhance previous literature on learning experience.

Translanguaging enables students to communicate in multiple languages in an English-dominant classroom. It has received considerable attention from scholars in content and language integrated learning (CLIL). Its implementation in primary schools in European countries has been adopted in Asian countries, including Indonesia. This study employed a narrative inquiry investigating a teacher who taught first graders both content matter and English during the COVID-19 forced-remote learning. Furthermore, data were gathered using semi-structured interviews to guide the participant in narrating CLIL science teaching experiences. Virtual observations were carried out eight times to obtain evidence of translanguaging practiced. Due to forced-remote learning, the results indicated that the teacher had to find the most convenient ways to instruct the young students without adding to their burden. Furthermore, it was reported that scaffolding by translanguaging was planned systematically by valuing the students’ L1 and alternating it with English as the target language. The findings also discussed the practical implications of this study to maintain young learners' (YLs) engagement through translanguaging strategies.

The loss of direct experiences with nature among today's children is of concern as it affects their conservation willingness (CW). While little is known about the influence of live experiences on CW, much less is known about how these events are related. This study aimed to examine the serial mediating effects of biodiversity knowledge (BK) and affective attitudes (AA) on the relationship between live experiences with species and CW. An online questionnaire was administered to 429 school children (11-12 years) in the Maldives. A two-serial mediation analysis revealed that live experiences exerted significant negative direct and positive indirect effects on CW. Thus, although a predictive sequential pathway from live experiences to BK to AA to CW was confirmed, partial mediation involving other mediators or moderators is likely. The direct effects of live experiences on BK and AA and of BK on AA suggest that experiential learning that stimulates AA is necessary to achieve overall positive impacts on CW. Therefore, educators and policymakers are critical in providing first-hand experiences to instill positive biodiversity conservation traits in children, enabling successful education for sustainable development and long-term biodiversity conservation.