Many problems in real life are full of uncertainty. Probabilistic thinking is one way to solve this uncertainty problem. The personality abilities that are interesting to examine include how independent the students are in facing probabilistic solutions. For this reason, it is necessary to study the probabilistic thinking profile of prospective mathematics teachers in solving probabilistic problems in terms of learning the self-regulation. The research method used in this research is qualitative research. In this study, the researcher conducted an analysis of students' probabilistic thinking with the scope of the probability material related to the sample space, the probability of events, and the probability of the random variable space. The profile of the level of probabilistic thinking is influenced by cognitive factors in the form of probabilistic knowledge obtained by students and personality in the form of self-regulated learning. Student learning self-regulated influences the mental activity in decision making. By studying the profile of probabilistic thinking, students are better prepare to face uncertainty with various aspects that influence it.

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.

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.

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.

The current research aims to analyze art teaching as an inclusive factor and pays attention to diversity in excluded populations to meet the needs of students in the pandemic context. In regard to methodology, we used the naturalistic paradigm, a qualitative approach, and an inductive method with a phenomenological and hermeneutical design. The data collection techniques we used were semi-structured interviews with teachers of the Regular Basic Education in Peru. The findings show that through the mediation of diverse artistic languages and the implementation of different didactic strategies, it is possible to achieve an interaction free from exclusion barriers, driven by good teaching practices that enable the inclusion and attention to the diversity of students, providing them with opportunities to develop capacities and skills to establish better coexistence. We concluded that art education comprises a lasting learning process that guarantees a healthy environment for peaceful coexistence, which today, inclusive teachers, parents, and students should keep in mind.

Teaching statistics in Primary Education remains challenging, particularly when integrating statistical literacy and gender equity within Education for Sustainable Development (ESD). This study examines how statistical projects related to Sustainable Development Goal 5 (SDG 5) contribute to the development of statistical literacy, pedagogical competencies, and an understanding of sustainability among pre-service Primary Education teachers in Chile. A mixed-methods approach was applied, involving 12 participants, which combined weekly monitoring, rubric-based assessments, and evaluation of final projects. Quantitative data were analyzed with descriptive statistics, Wilcoxon signed-rank tests, and Spearman correlations, complemented by regression models. Assumptions of independence, symmetry, and monotonicity were verified, while rubric reliability was supported through Lesson Study validation. Results showed significant differences between monitoring and oral presentation scores, as well as a strong positive correlation between monitoring and oral performance. In contrast, associations with written reports were weaker. Although exploratory due to the small sample size, the findings suggest that statistical projects linked to SDG 5 enhance statistical literacy and professional competencies, with implications for teacher education.