A modern teaching method influences both direct and indirect learning achievement through the student's nonacademic factors. The researcher has an intention to examine the influences of new teaching methodology on mathematics achievement towards mathematics attitude, achievement motivation, and self-efficacy of students as mediating variables (n teacher = 117, n student = 2,205). The Multilevel Structural Equation Modeling revealed that attitude towards mathematics is the most important factor in explaining the academic achievement of individual students. It could be explained the variance with achievement motivation and perceived self-efficacy of students by 60.50%. As for the modern teaching method, there was a positive effect on achievement both directly and indirectly through all three factors with statistical significance and explained conjointly about the variance of student achievement in each classroom by 99.00%. This finding suggests the importance and direction of teaching design that covers the development of relevant factors as proposed in discussions and implementations.

Despite its well-documented benefits for training a wide range of professionals, including teacher candidates in almost all content areas, the incorporation of service-learning into foreign language teacher education is relatively new, and most research only dealt with narrative accounts of non-work-related charitable activities. Consequently, this study sought to investigate the impact of the 20-hour peer-tutoring project on the teaching beliefs, community service attitudes, personal and professional development of 14 Turkish EFL teacher candidates. A comparison between their pre- and post-service metaphors revealed a conceptual shift not only in their teaching perspectives from the behaviorist to constructivist paradigm for knowledge acquisition, but also in their community partnership approaches from the unidirectional to reciprocal pattern of altruism towards their tutees. The classification of their written reflections into six types of significant learning demonstrated that despite a relatively greater focus on expressing their foundational knowledge and application practices, a more balanced distribution of learning gains was achieved between the two overarching spheres of academic learning and personal growth, when coursework engagement and multimodal reflections were co-implemented. They reported developing effective teacher dispositions, interpersonal skills and social responsibility, valued intrinsic rewards for their contributions to the youth well-being, and also appreciated the informal professional learning opportunities the peer-tutoring service offered, though without establishing their own learning agendas.

The equal symbol has been used in diverse mathematical frameworks, such as arithmetic, algebra, trigonometry, set theory, and so on. In mathematical terms, the equal sign has been used in fixed command of standings. The study reports on the students meaning and interpretations of the equal sign. The study involved Grade 6, 7, and 8 students in a secondary school in Alain, United Arab Emirates (UAE). Much of the earlier research done on the equal sign has focused on the primary school level, but this one focuses on middle school students. The study shows that the maximum foremost understanding of the equal sign amongst Grade 6, 7, and 8 students is a do-something, unidirectional symbol. Students realize the equal sign as an instrument for marking the response moderately than as an interpersonal symbol to associate extents.