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.

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 objective of this study is to create a tool for evaluating teachers’ effectiveness in boarding schools. Planning and preparation stages, instrument testing, and measurements were used in this study to implement research on the creation of the Mardapi model instrument. In order to generate instrument items, the planning and preparation stage tasks included a literature assessment of teacher performance appraisal manuals. Data were gathered utilizing documentation approaches, and descriptive and qualitative analysis was performed. Six specialists validated the built instruments, which were subsequently put through limited testing at two boarding schools and extensive trials at nine boarding schools in Surakarta residency area. The Aiken formula was used to examine the expert’s evaluation data, and confirmatory factor analysis was used to analyze the test results. The results of this study indicate that the instrument for assessing teacher performance in boarding schools meets the validity criteria. This is indicated by the existence of loading factor values ranging from .51 to .72 (>.4) and t-sign values ranging from 4.75 to 9.25 (>1.96) and meeting the requirements of a fit model since Chi-square = 1307.95 < 2524 (2*df), p-value = .17956 (>.05), and RSMEA value = .014 (<.08). The instrument items are reliable assessment packages, and this is shown by the reliability value of omega .967 > .70. Because there is a guarantee of validity and reliability, the test can be used to further assess teacher performance in boarding schools.

This study investigated pre-service biology teachers' (PSBTs’) technological pedagogical content knowledge (TPACK) development. A TPACK-based technology integration course (TPACK-BTIC) was implemented. The study employed a convergent parallel mixed-methods approach. A TPACK survey questionnaire and interview schedule were used to collect data from 50 PSBTs. The quantitative data were analysed by computing means, standard deviations, and dependent samples t-tests, while qualitative data were analysed using deductive thematic analysis based on the TPACK domains. Findings indicate that the intervention positively affected PSBTs’ TPACK development with significant improvements in technological knowledge (TK), technological pedagogical knowledge (TPK), technological content knowledge (TCK) and overall technological pedagogical content knowledge domains. In contrast, pedagogical content knowledge (PCK) and pedagogical knowledge domains showed no statistically significant improvements. PSBTs’ engagement in microteaching lesson study, reflection on using technology, and collaboratively designing lesson plans improved PSBTs’ TPACK domains. The study recommends that teacher training institutions consider implementing content-based technology integration courses that engage pre-service teachers in microteaching lesson study, reflecting on technology use and collaborative designing of curriculum materials that involve using technology to support their TPACK development.

Teachers' learning styles are a crucial part of the learning process as they determine how teachers' brains capture and integrate information linked with the senses. Kurnia, identified as an auditory teacher, was expected to capture written information in a provided numeracy problem. Nevertheless, she prefers to capture visual information, like tables or figures, and utilize them to develop thought-provoking questions. Thus, this study intends to investigate her reasons and the factors affecting Kurnia's decision to utilize visual information as a reference in developing questions. This research adopts a qualitative design covering a case study. Kurnia was selected from 32 teachers from 28 schools; roughly 43% were from public schools, and 57% from private schools. Kurnia placed more emphasis on pictorial information before proposing questions, which was caused by situational factors: the subject matter, the grade level, the student's engagement in the class, the teacher's experience, the teaching experience, and the diversity of students' learning styles. This article recommends that teachers recognize their learning styles to know their strengths and weaknesses in teaching mathematics, and that they convey understandable information utilizing effective instructional methods that represent each learning style of students in the classroom.

This study aims to analyze the effects of working memory capacity and learning styles of prospective mathematics teachers on their ability to solve higher-order thinking problems. In the present study, learning style was considered students' tendency to learn visually or verbally. In addition, the types of higher-order thinking skills (HOTS) problems are complex and non-complex. Multiple regression tests were used to analyze the effects of learning style and working memory capacity. An ANOVA test was also conducted to analyze the ability of each group to solve each HOTS problem. In addition, one hundred twenty-six prospective mathematics teachers voluntarily participated in this study. The study found that learning styles only affected visual problems while working memory capacity (WMC) only affected the ability to solve complex problem-solving skills. Furthermore, WMC affected the ability to solve complex HOTS problems, not non-complex ones. The ability of visual students to solve HOTS problems will greatly increase when the problems are presented in visual form. On the other hand, the obstacle for visual students in solving verbal problems was to present the problem appropriately in visual form. The obstacle for students with low WMC in solving complex HOTS problems was to find a solution that met all the requirements set in the problem.

<p style="text-align:justify">This study aimed to assess the geometric knowledge of student teachers from a university in the Eastern Cape province of South Africa. The study used a sample of 225 first-year student teachers who completed school mathematics baseline assessments on a computer- aided mathematics instruction (CAMI) software. The study adopted a descriptive cross-sectional research design, using quantitative data to measure student teachers&rsquo; geometry achievement level, and qualitative data to explain the challenges encountered. The results show that student teachers exhibited a low level of understanding of school-level geometry. The low achievement levels were linked to various factors, such as insufficient grasp of geometry concepts in their secondary school education, difficulty in remembering what was done years ago, low self-confidence, and lack of Information and Communications Technology (ICT) skills along with the limited time for the baseline tests. These results suggest that appropriate measures should be taken to ensure that student teachers acquire the necessary subject-matter knowledge to teach effectively in their future classrooms.</p>