This study aims to investigate an intervention in the application of the Butterfly Method Algorithm with the Bar Model Concept on the addition and subtractions of Fractions to Year 9 students in one of the Government secondary schools in Brunei Darussalam. The Butterfly Method is an alternative visual method for teaching fractions where the diagonal and horizontal multiplication of the denominators and numerators are employed by drawing the Butterfly. A mixed-method approach was used to explore the impact of the intervention with data gathered from the students’ written pre- and post-tests and interview transcripts. The tests conducted before and after the intervention were used to analyze students’ errors and misconceptions. The students’ written analyses of the post-test results revealed that not all of the students applied the Butterfly Method. A few students were selected for interviews in order to gain deeper insights into how they developed the errors and misconceptions from both tests. Findings from the students’ interview transcripts revealed they were not confident with the Butterfly Method, and they needed more time to be familiar with the concept. Another factor for not applying the Butterfly Method is due to students’ confusion on subtracting fractions that has the same denominators as well as subtracting a proper fraction from a whole number. This study concluded that students who applied the Butterfly Method helped them to remember the new method from the intervention satisfactorily in comparison to those who lack the confidence in applying it.

Questioning is one of the critical repertoires in dialogic teaching. Teachers who set dialogic classrooms need to be able to use questioning effectively. Effective questioning techniques by teachers improve teacher-student instructional dialogues in primary school mathematics classrooms. In this study, the questioning practices of three primary school mathematics teachers were analysed in their journey to incorporate dialogic teaching. Data were gathered through lesson observations, video recordings and teacher interviews. The three teachers’ classroom discourses were transcribed verbatim, and teachers’ questions were analysed to find out the types of questions, how the teachers asked the questions and the feedback given to the student’s responses. Findings from this study indicated that the three teachers used effective questioning techniques in ensuring dialogic teaching, with focusing, genuine enquiry, and closed testing questions being the most predominant. The teachers portrayed positive attitudes towards dialogic teaching and shared their comprehensive understanding of the approach.

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