Lesson planning is considered to be an important and efficient tool for effective teaching and learning process. Preparations of effective lesson plan requires teachers to be competent in the pedagogical content knowledge (PCK). This study investigated how the mathematics teachers’ PCK impact their competences on designing effective lesson plans. Twelve in-service mathematics teachers from public secondary schools in Unguja-Island (Zanzibar) of Tanzania were involved. The data were collected using the reviewing of the teachers’ mathematics lesson plan documents and teachers’ interview. The data were analyzed in both quantitative and qualitative mode based on the lesson plan framework guideline (LPFG) and the criteria for better planning of the sections jointly with PCK abilities indicators. The percentage average of occurrence of the sections in the teachers’ designed lesson plan (DLP) and the percentage of occurrence of different category within the sections of the DLP in relation to the criteria were determined. Also, the challenges faced by the teachers in their DLP were identified. The result of the analysis revealed that the PCK competences of mathematics teachers are not good enough to impact their DLP, as some of their designing lesson plan sections were occurred inconsistently. Also, the implementation of PCK competences for effective mathematics teaching found to be at developing stage, as some criteria related to it were not clearly observed in their DLP. The study recommends the demand of in-service training for mathematics teachers on the implementation of teachers’ competences particularly PCK in the lesson plan designing for effective classroom practices.

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.

Diagnostic tests are generally two or three-tier and based on classical test theory. In this research, the Four-Tier Diagnostic Test (FTDT) was developed based on modern test theory to determine understanding of physics levels: scientific conception (SC), lack of knowledge (LK), misconception (MSC), false negatives (FN), and false positives (FP). The goals of the FTDT are to (a) find FTDT constructs, (b) test the quality of the FTDT, and (c) describe students' conceptual understanding of physics. The development process was conducted in the planning, testing, and measurement phases. The FTDT consists of four-layer multiple-choice with 100 items tested on 700 high school students in Yogyakarta. According to the partial credit models (PCM), the student's responses are in the form of eight categories of polytomous data. The results of the study show that (a) FTDT is built on the aspects of translation, interpretation, extrapolation, and explanation, with each aspect consisting of 25 items with five anchor items; (b) FTDT is valid with an Aiken's V value in the range of 0.85-0.94, and the items fit PCM with Infit Mean Square (INFIT MNSQ) of 0.77-1.30, item difficulty index of 0.12-0.38, and the reliability coefficient of Cronbach's alpha FTDT is 0.9; (c) the percentage of conceptual understanding of physics from large to small is LK type 2 (LK2), FP, LK type 1 (LK1), FN, LK type 3 (LK3), SC, LK type 4 (LK4), and MSC. The percentage sequence of MSC based on the successive material is momentum, Newton's law, particle dynamics, harmonic motion, work, and energy. In addition, failure to understand the concept sequentially is due to Newton's law, particle dynamics, work and energy, momentum, and harmonic motion.

The primary objective of this study is to require the experts’ unanimous agreement on the e-learning antecedents and usage behavior towards e-learning performance. This study used the Fuzzy Delphi Method (FDM) to gather answers and feedback using a 7-point Likert scale. The survey (items) was reviewed and approved by eight panel members or experts. It was analyzed using Fuzzy Delphi Logic (FUDELO 1.0) software. The data were evaluated using triangular fuzzy numbering and the position (ranking) of each variable was established through defuzzification. The findings revealed that all of the items received high levels of expert agreement, significantly greater α-cut defuzzification values >.5, the overall value of the threshold (d) is less than .2 and had to comply with the overall percentage of percent consensus, which must be greater than 75%. All 45 recommended items were retained adequately and acceptable for a large-scale survey in this study. Finally, each item was prioritized (ranked) based on the defuzzification value, and then some additional items were added, as recommended by experts.

This study presented the effect of interactive mathematics (IM) software assisted-teaching on primary three learners' conceptual understanding and performance. The cognitive theory of multimedia learning (CTML) supported the quasi-experimental design of this study drawing on IM software features that fit a multimedia tool for effective learning. This study used a sample of 138 lower primary learners. Learners’ test scores and examples of their work provided data to be analyzed. Learners' conceptual understanding was measured using the percentage of learners who performed a particular item and analyzed using sample learners' work while the overall performance was measured using the mean class scores. From the data analysis, IM-assisted teaching influenced conceptual understanding and performance based on a .05 p-value, the effect size of significance, and learning gains. The analysis of learners’ workings revealed different errors in addition, subtraction, division, and multiplication, which were remarkably reduced in the post-test by IM-supported teaching. This evidenced conceptual understanding development by IM-supported teaching. The study suggested the integration of IM in the Rwandan Competence-Based curriculum and its use as an instructional tool in teaching and learning mathematics at the primary level. Besides, it was recommended that Rwanda Education Board support teachers in developing basic computer skills to effectively create and monitor a multimedia learning environment for effective learning. Furthermore, further similar research would improve the literature about interactive technologies in supporting quality mathematics delivery and outcomes.

The study explored the perspectives and experiences of the participating teachers regarding the sudden switch to online learning during the COVID-19 epidemic. 159 teachers from four junior high schools in Taguig City, Philippines, provided the data. The study used the quantitative approach to research, specifically it utilized the descriptive method using survey as way to gather data. The data was statistically analyzed using the frequency distribution, percentage formula, mean, and Mann-Whitney and Kruskal-Wallis tests. The study's findings show that the respondents' perceptions and experiences during the sudden change to online learning, which was caused by the pandemic that focuses on internet access, digital infrastructure, administrator assistance, and learning environments, are typically similar. Additionally, there were no significant differences found between the participants’ responses and their demographics as to sex, highest educational attainment, years in service and specialization.

The fundamental challenge in implementing inclusive schools is related to accepting students with special needs by other students. Lack of acceptance and respect for differences often trigger acts of bullying. There are insufficient studies describing that the perpetrator of bullying in school is a student with special needs. This study aims to measure the effectiveness of the educare program in improving students' pro-social attitudes to prevent bullying in inclusive schools. The Educare Program consisted of four lesson plan themes and became a treatment instrument. Single subject research (SSR) was used for the research method, implementing the baseline-intervention-maintenance (AB+M) phase with multiple baselines across subjects. Three students, including a student with a disability and a low pro-social attitude, were the subjects of this study. The data were collected through observation and analyzed through graphical visual inspection focusing on trend, level, latency, and percentage of all non-overlapping data (PAND). The results of the study presented in polygon graphs and PAND showed that the Educare Program is very effective in increasing students' pro-social attitudes. Almost all scores of pro-social attitudes obtained through trend with PAND reached 96.11%.

This study aims to produce a product to evaluate students' critical thinking skills that departs from physics content where students often have misconceptions. This research is a development research with research stages covering a) research and review literature; (b) planning chapter objectives; (c) developing a preliminary form; (d) field-testing the preliminary form; (e) Revise the preliminary form; (f) conducting a main field-test. The Waves Critical Thinking (WCT) test developed consists of 7 questions with 15 specific domains. Total percentage of content validity test was obtained 87.98% with appropriate criteria and based on the construct validity WCT test, the Goodness of Fit criteria were obtained which were classified as fit. The test instrument being tested consists of 15 objective items. The reliability of WCT test results 0.597 as a Cronbach's alpha score with the medium category and all the components have a good level of composite reliability. The outcome of the study was the WCT test with a valid state for measuring students' CT in a specific domain of physics wave material.

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.

This study explores the extent to which the gendered views exist among students in Kosovo’s compulsory education (primary and lower secondary schools) regarding mathematics and reading. It analyzes students’ perceptions of these academic domains concerning the performance of their peers (the same others) from the gender perspective. Additionally, it examines students’ perspectives on the opinions of their parents and teachers (their significant others) regarding girls’ and boys’ performance in math and reading. Furthermore, the study investigates whether students hold gender-stereotypical attitudes toward professions related to math and those that heavily rely on reading skills. The survey method was used to conduct this study. A sample of 531 students in compulsory education participated in this study, completing a paper-based questionnaire consisting of 14 items evenly distributed between mathematics and reading. The findings indicate that around half of the respondents believe that girls and boys perform equally well in both mathematics and reading and that parents and teachers hold the same views regarding the performance of their children/students in these academic domains. However, among the remaining portion of respondents who expressed gendered views, a higher percentage favored boys as being more proficient in math, while girls were seen as superior in reading skills. This study emphasized the need to address and mitigate these gender stereotypes, to ensure that students of both genders can pursue their careers successfully without any limitations.

Listening is a language skill that is acquired in childhood but can be improved throughout the educational process. It is of great importance in both educational and everyday life. The objective of this study is to identify the importance given to listening training by students, assess their listening skills, and determine what can be done to improve their listening skills to top levels. The study group consists of 50 Turkish language teachers from various primary and secondary schools in Turkey and Northern Cyprus. A 9-question interview form was used to collect data. The data obtained were analyzed using content analysis, frequencies, and percentages. Based on the results, most Turkish language teachers revealed that their students do not listen sufficiently to their teachers, and the reasons for this could be related to the school, teachers, curriculum, or the students themselves. Additionally, the teachers stated that it is essential to emphasize the importance of listening to students in the first place, and it could be beneficial to increase the number of listening activities in the course books and assess and evaluate listening skills more frequently.