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

The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.

This study aims to analyze the characteristics of social skills, digital literacy disposition, and mathematical literacy abilities of 49 students; to analyze the theoretical model of the direct and indirect influence of digital literacy skills and social skills on mathematical literacy skills. The number of samples is 49 of the 12th-grade students at state high school #1 Southern Konawe. The research instruments consisted of a mathematical literacy ability test, a social skills questionnaire, and a digital literacy disposition questionnaire. The data were analyzed by descriptive statistics and structural equational models (SEM) with a Smart PLS 3.0 application. The results showed that students' mathematical literacy skills tended to be better on content and context indicators but they are weak on competency and process indicators. Students' social skills tend to be better on indicators of peer-relationship skills and self-management skills, but are also weak on indicators of academic skills and compliance skills. Mastery of the digital literacy disposition tends to be better on the internet searching, content evaluation, and information sharing indicators but is still weak on knowledge assembly. Furthermore, it was found that (a) social skills have a direct effect on digital literacy disposition but do not directly affect mathematical literacy skills; (b) the digital literacy disposition has a direct effect on mathematical literacy skills.

Learning activities are conducted to help students achieve optimal academic achievement. This research aims to optimize student academic achievement through a learning process that integrates comprehensive formative assessments, including formative tests, self-assessment, peer assessment, and the initiator of creating summaries or concept maps that are given to students in a structured manner at the end of every lesson. The research method used was a quasi-experimental method with a 2x2 factorial design. Students enrolled in the biology education program of the basic physics course for the 1st semester of the 2019 academic year participated in this study. The participants were 66 undergraduate students divided into two classes. Thirty-four students in the experimental group were in class A, while 32 students in the control group were in class B. Data were collected using a learning outcome test instrument to measure academic achievement, which was tested at the end of the semester. Data were analyzed using a two-way ANOVA. This study concluded that a learning process that includes comprehensive formative assessment significantly affects students' academic achievement. These findings support the theory that formative assessment provides feedback, correction, and improvement in student learning.

The purpose of this study was to explore the factor structure of a measurement and to evaluate its internal reliability. Overall, 525 math-majoring elementary school teachers volunteered to participate in this study by answering online survey questions via Google Form. These samples were randomly partitioned into 262 participants for exploratory factor analysis (EFA) and 263 observations for confirmatory factor analysis (CFA). The EFA tended to largely prefer a four-factor solution, which was proven to explain over 68% of the variation in the data. Awareness, effectiveness, engagement, and opportunity were the provisional labels for these hidden variables. The CFA results verified and validated the four-factor model, with all test measures exceeding the specified thresholds, suggesting an acceptable and excellent fit. The results of this study, on the one hand, provide four key areas for realistic math teachers, educators, and policymakers to discuss as opposed to examining individual indicators, and on the other hand, they serve as a foundation for interested researchers to conduct additional analyses, such as multivariate linear regression or complement for cluster analysis.

In the vulnerable and unstable contexts that characterize populations in mobility between countries, especially immigrants and refugees, the second language learning has assumed new traits of difficulty. To help the new generation of learners, mainly with origin in forced immigration, the mobile-assisted learning helps motivation for language learning and reduces anxiety related to language acquisition. Attending to this challenge educational scenario, this review study presents a literature systematic analysis and a concrete technology tool that advocates the student-centered approach. A mobile pedagogical plan was developed for the learning of European Portuguese as a Second Language and as a Foreign Language. A critical review of 38 studies was conducted to understand how the mobile-assisted learning responds to the inclusion and education, especially concerning minorities. Based on previous empirical data with 108 immigrants, we understand the type of tasks that new immigrants have more difficulty learning in Portuguese. It was developed as a mobile app for Android, IOS, computers and tablets: the GoGenius app. In mobile format, individuals can access fourteen themed units with a symmetrical game architecture. These games focused the tasks and themes with priority for new language learners who recently arrived in a hosting country. These units involve a consistent number of working hours that intentionally intend to complement to the contact hours that the subjects have in classroom contexts or in unstable communication contexts (daily communication). This technology project aims to match “tailored” psychological and technological resources. Flipped classroom approach showed how mobile-assisted learning reinforces the educational goals worldwide, specifically for language learning. However, mobile tools should be well structured and centered on students’ needs, especially with migration backgrounds.

Ursula von der Leyen identifies diverse classrooms have different knowledges and ‘epistemologies’. A typology of epistemologies for democratising knowledge ‘A Blueprint for Character Development for Evolution’ (ABCDE) is offered to mainstream policy benefits for all by Higher Education as hubs i) credentialing educational leaders by doctoral-study and ii) propelling networks of Professional Educators and Administrators Committees for Empowerment (PEACE) across professions credentialed by Higher Education and chaired by educational leaders. PEACE builds robust evidence bases to inform redesigning curriculums and culturally responsive pedagogies as policy benefits that empower students to use ABCDE with Assessment for Personal and Social Learning (APSL) to problem solve across the quadruple-helix. Education Outcomes include students’ self-management of personal and social understanding and wellbeing for resilience within sustainable circular, entrepreneurial, green and digitised economies with products and means of production regulated by professions credentialed by Higher Education. Impacts include communities developing responsible historical social consciousness to reinvigorate democratic governance, accountability, transparency, effectiveness and trustworthiness of rule-of-law based institutions and policies to expand active and inclusive citizenship empowered by safeguarding human rights. Further research, building on the powerful European Commission funded platform ‘DocEnhance’ is recommended to inform effective and efficient investment into high quality education and training.

The problems in education in the countries of the Organization for Economic Cooperation and Development (OECD) vary from country to country. The differences between "upper class" and "lower class" countries in PISA assessment results have led to a research gap. The purpose of this study was to (a) test students' mathematical literacy skills on the Program for International Student Assessment (PISA) test and compare the results using the sum of means across OECD countries; (b) examine the relationship between students' mathematical competence, precision, and self-perception of mathematical literacy skills in the PISA test; and (c) analyze the gaps that exist between the implementation of mathematics instruction in school and the mathematical literacy as measured on the PISA test. This study was designed as a mixed method with an explanatory sequential design. The data collection methods included test procedures, questionnaires, and interviews. The result of this study showed that the overall mean score obtained was below the OECD average. In general, the respondents achieved only level 2 mathematics proficiency. A significant relationship was found between mathematical competence, precision, and self-perception in mathematical skills. On the other hand, there was a gap, namely the difference at the implementation level, where mathematical literacy measured by PISA differed from the measurement of mathematical learning achievement by teachers in school. The results showed that teaching that emphasizes only problem-solving procedures affects low mathematical competence and is not useful enough for students to deal with the PISA mathematics test.

Some Indonesians may still regard online education as a novel, although they frequently engage in online-related activities without even realizing it. The quality of learning, satisfaction, achievement, retention, and, more broadly, personal growth are all favorably correlated with student engagement. For students to provide their best effort and succeed in online learning, it is crucial to have good psychological engagement in them. This engagement will help their psychological processes and dispositions to improve. The quantitative research methodology was utilized in this research. In addition, 800 high school students from South Sumatra participated in this research as a sample. The structural equation model is analyzed (SEM). The findings indicated that 85.9 percent of the time, a psychological commitment is influenced by information communications technology (ICT) proficiency, psychosocial processes, and student performance. Thus, the value of .713 indicates that psychological involvement, psychosocial processes, and ICT proficiency all impact student performance. This study demonstrates that every hypothesis has a favorable and significant impact. These circumstances suggest that students who are proficient in ICT and psychosocial processes will be able to enhance their performance through challenging and dry learning. The interaction between students while learning strengthens this condition.

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.

The need for early comprehension of scientific concepts in elementary school students is crucial. However, studies have indicated that some students lack a fundamental understanding of such concepts, highlighting the importance of effective teaching methods to improve scientific literacy at an early age. Therefore, this study aimed to determine the ability of Project-Based Learning in Science, Technology, Engineering, Art, and Mathematics (STEAM-PjBL) to improve students' scientific literacy, knowledge, and application of foundational scientific principles. A quasi-experimental methodology was employed, involving 22 female and 26 male fourth-grade elementary school students as participants. The study administered a Scientific Literacy Test (SLT) treatment to the students, followed by unpaired and paired t-tests to examine the impact of the STEAM-PjBL model on their scientific literacy skills. The results showed that STEAM-PjBL improved students' scientific literacy skills significantly more than traditional instruction. The experimental group outperformed the control group in the post-test, indicating the effectiveness of STEAM-PjBL. Therefore, the study recommends the adoption of the STEAM-PjBL model by elementary school teachers to improve students' understanding of fundamental scientific concepts.

Digital technologies in all forms have become ubiquitous in our media-rich, modern information society, but the connection between their use and information literacy is not always clear. This paper examines the impact of daily use of digital technologies on the reading and information literacy skills of 15-year-old students in Slovenia, based on data from the Programme for International Student Assessment (PISA) 2018 study. The study examines PISA 2018 variables related to Information and Communication Technologies (ICT), as well as a reading task involving the use of ICT. The sample consists of 2612 Slovenian students with a gender distribution of 50.8% girls and 49.2% boys. The study explores students' experiences, enjoyment, self-efficacy, autonomy, and independence in using ICT and learning about its use and identifies two groups of students: one group that is curious and another that is cautious. The results of confirmatory factor analysis (CFA) and structural equation modelling (SEM) show that the constructs of enjoyment, self-efficacy, learning, autonomy, and independence are highly/strongly correlated but have a low/insignificant impact on information literacy skills.

Momentum-impulse requires critical thinking skills, and teaching should be encouraging for students. Critical thinking skills can be fostered through inquiry-based learning. During the COVID-19 pandemic, familiar learning media were used for students. Therefore, it is necessary to develop creative learning media. This developmental research aimed to create a momentum-impulse e-book based on inquiry supported by infographics (MIB -In-graph) to enhance students' critical thinking skills. The developmental model was a 4D model with field testing, i.e., a pretest-posttest control group design with three classes. Descriptive analysis showed that MIB-In-graph, an Android application, received a good average rating in content, worksheets, and forms. Students’ responses were very positive. Mixed design ANOVA showed that the mean score of students’ critical thinking skills increased significantly from the pretest to the posttest in each class and students’ critical thinking skills in the experimental class was more salient than control class 1 and control class 2. The highest difference in mean scores was in the experimental class. The differences were influenced by various factors such as learning approaches, media use, pictures, and collaboration.

Students in mathematics classes do not understand the importance of sociomathematical norms in learning mathematics. This causes sociomathematical norms not to be teachers' focus when learning mathematics. Besides, there is no standardized instrument for assessing this norm, so developing this instrument is necessary to measure socio-mathematical norms in learning mathematics. This study aims to create and verify the psychometric validity of the sociomathematical norm scale. This research used a survey method with 505 senior high school students from Jakarta and West Java as respondents. The results showed that 25 items had convergent validity, with a loading factor value of > 0.700, meaning they could be declared valid. Concurrent validity indicates that each sociomathematical norms indicator is valid as a whole. Discriminant validity shows that the average variance extracted value on the diagonal is higher than the other values, so each item is declared valid. It was concluded that each item of the sociomathematical norms instrument has accuracy in its measurement function. The reliability test shows that each sociomathematical norms item is declared reliable. The reliability value of the sociomathematical norm item is .99, and the person's reliability is .86. Thus, the instruments developed can measure sociomathematical norms in learning mathematics.

Publishing research is crucial and is of utmost significance. However, it is a daunting task for most researchers, especially if one is a beginner with very limited experience. The generalizability of much of the previously published research was limited to the negative aspects of the publishing process rather than the whole circumstances they had to face. Therefore, this article sought to explore the experiences of preservice teachers as novice researchers in publishing their research outputs in a research journal. This study employed a qualitative-phenomenological approach. Five major themes emerged from the interview with eight purposively selected former preservice teachers who had first-time encounters in publishing that the research investigates. These themes were encapsulated through the acronym “FLAME,” namely: (a) facing personal circumstances, (b) leveraging positive dispositions, (c) acknowledging dependency on research promoter, (d) meeting publishing standards, and (e) encountering poor physical and mental well-being. This article concludes that the journal publishing process is a multidimensional and enriching experience, providing the full spectrum of positive and negative experiences for novice researchers. This paper highlighted some implications that can be used as a guide to support novice researchers in the publication process.

This study aims to analyse the relationship between critical thinking and the learning experience provided by instructors through active learning models, specifically Project-based Learning (PjBL) and Simulation-based Learning (SBL), to the potential achievement of academic performance in undergraduate students. The main analysis technique employed in this research was logistic regression, with additional analysis techniques including discriminant validity, EFA, as well as Kendall’s and Spearman’s correlation, serving as a robustness check. The results of this study indicate significant correlations and effects of critical thinking (CT) on academic performance. Higher levels of CT are associated with a greater likelihood of achieving academic excellence, as indicated by the cum laude distinction, compared to not attaining this distinction. Experiences of receiving PjBL (0.025; 6.816) and SBL (0.014; 14.35) predicted the potential for improving academic performance to reach cum laude recognition, relative to not achieving this distinction. Furthermore, other intercept factors need to be considered to achieve cum laude compared to not achieving cum laude. We recommend that policymakers in higher education, instructors, and others focus on enhancing critical thinking and utilizing both Pub and SBL as learning models to improve students’ academic performance.

This study aims to develop a Critical Thinking-Independent Learning (CTIL) model to improve students' critical thinking skills that meet valid, practical, and effective criteria. This type of research was Research and Development (R&D), with a one-group pre-test and post-test design without a controlled class. The CTIL model was validated by three experts in the field of science education and then tested on 156 students in three public junior high schools in Surabaya, Indonesia. The results revealed that: (a) The CTIL model was valid based on the model validity score with an average of 3.73 (very good category) and the validity score of the learning materials with an average of 3.72 (very good category); (b) The practical CTIL model based on the averaged observations of the implementation of learning using the CTIL model was 3.88 (very good category); and (c) The CTIL model was effective based on four determining factors, namely: an increase in critical thinking skills, which was statistically significant at alpha .05; the calculated mean N-gain of .72 (high category), similar mean values for all test classes in all schools participated in this study; the effect size of 3.07 (strong category); and the average student response of 84% (very good category).

Critical thinking is a skill that enables individuals to keep pace with changes and enhances crucial competencies for contemporary competitiveness. Many researchers have studied learning management approaches to develop students' critical thinking, resulting in a substantial body of knowledge but lacking clear systematic summaries. The researchers aimed to (a) examine the effect sizes and research characteristics influencing students' critical thinking, and (b) compare the effect sizes of learning management approaches after adjusting with propensity score matching from 108 graduate research published between 2002 and 2021. Data were collected using research characteristics recording forms and research quality assessment questionnaires. Effect sizes were calculated using Glass's method and analyzed through random effect, fixed effect, and regression meta-analysis. Findings revealed that (a) research on developing learning management approaches influences students' critical thinking at a high level (d ̅ = 1.669), with nine research characteristics, including the field of publication, courses, total duration, teacher learning process, learning media, measurement and evaluation, research design, research statistics, and research quality, statistically significantly influencing students' critical thinking, and (b) after adjustment, inquiry-based learning significantly influences students' critical thinking. Recommendations for developing students' critical thinking include learning activities that encourage problem exploration, expanding thinking through collaborative analysis, and applying diverse media and activity sheets tailored to context suitability.
 

Students’ mastery goal orientation tends to decline over the course of compulsory school, especially after the transition to lower secondary school. According to stage-environment fit theory, secondary school is less accommodating to students' needs, interests, and abilities than primary school. In consequence, the perceived person-environment fit declines as well. It is assumed that a strong sense of classroom community in primary school can counteract a potential decline in both of these important individual aspects. Using data from the Swiss longitudinal research project WiSel (“Wirkungen der Selektion”; “Effects of Tracking”), we conducted a latent growth curve model (LGCM) to examine the correlation between the development of students' mastery goal orientation and the development of their person-environment fit during the transition from primary school to lower secondary school. Perceived classroom community was assumed to benefit from these developments. The results show that both mastery goal orientation and person-environment fit decrease during the transition to lower secondary school. A strong sense of classroom community in fifth grade leads to a smaller decline in both constructs. Implications for educational practice are discussed.