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.

Teacher education has been innovated in Brunei to support the ongoing inclusive education and curriculum reforms. This survey investigated the development of essential instructional skills in initial Brunei trainee teachers. The sample consisted of 109 student teachers (71 females and 38 males). Significant mean scores (Mean ≥ 4, p< .05) and 95% confidence intervals were used to identify the levels of proficiency and enablers of success in teaching. Participants were proficient on 15 of the 28 skills measured by the Teacher Behaviors Checklist (Approachable; Confident; Effective communicator; Encourages; Enthusiastic; Flexible; Good listener; Humble; Prepared; Professional; Rapport; Respectful; Sensitive; Striving to be a better teacher; Understanding). From independent groups, T-tests and One-Way ANOVA analyses, other significant trends in participants’ performance emerged at p< .05 level of evaluation. Females scored highest on Humble and Realistic expectations while males scored highest on Understanding. Trainee teachers aged 31-35 scored highest on: Promoting critical thinking; and Providing constructive feedback, than counterparts. Participants with higher degrees (e.g. Master of Arts) scored higher on Authoritative skills than those with lower degrees (e.g. Bachelor of Arts). Trainees with teaching experience scored significantly higher on: Accessible; Knowledge about the subject matter; and Technological competence, than those with no experience. The findings suggest the need to help pre-service teachers to gain proficiency in all teacher skills to improve the quality of education in the country. Further research was recommended.