Big Ideas can be seen as overarching concepts that occur in various mathematical topics and strands within a syllabus. Within our project on Big Ideas in School Mathematics, we developed instruments to measure two Big Ideas: Equivalence and Proportionality. The instruments we developed seek to assess students' ability to see these Big Ideas as…

At the end of Primary 6, students in Singapore schools take a national examination, the Primary School Leaving Examination (PSLE). Society at large view the PSLE as a highstakes examination. In addition to out-of-class work assigned by mathematics teachers for students to prepare for the PSLE mathematics, parents may also draw on out-ofschool…

Fractions are among the most problematic concepts that children encounter in their primary school years because of the many different conceptions of fractions. Textbook analyses have tried to provide insights into how fractions are introduced, focusing on the different concepts and representations of fractions. In this paper, we contribute to…

The primary school mathematics syllabuses in Singapore as of the year 2020 reinforces that Big ideas are central to the learning of mathematics. In support of the push to teach for big ideas, a research study is presently underway. A part of it is on the professional development (PD) of primary school mathematics teachers. As part of the PD…

The study reported in this paper is on the professional development (PD) of primary school mathematics teachers. Teachers from two primary schools participated in the PD for two years. High-stakes mathematics examination tasks were used to kick start awareness and thinking about teaching for big ideas. Teachers did the tasks and discussed their…

Learning Mathematics in Primary Schools is often mediated through the use of multiple representations. However, teachers may not pay enough attention to the way they use these representations. Given that the translations among representations may not always be smooth, it may be insightful to examine how teachers mediate learning through the use of…

Academic resilience is difficult to define in an international setting, since economic levels and achievement standards vary across countries and over time. In studies of academic resilience, the concept is typically operationalized using pre-defined cut-offs of achievement and social background. The main objective of the current study is to apply…

Professional Learning Communities (PLCs) have gained much attention in the education scene. Since 2009, the Singapore education policymakers have set their eyes on PLCs as a means of raising the quality of teachers while promoting teacher-led collaborative professional development. With the introduction of the education ministry's PLC model,…

This study uses lesson study to investigate what mathematics teachers notice about students' mathematical reasoning during the planning of a lesson on fractions. Most research examines teaching noticing during or after a lesson, and focuses on the specificity of what teachers notice as a characteristic of noticing expertise. In this paper I…

In this project report, we describe the role that a 1:1 smartphone deployment played in transforming the education of P3 (primary 3/grade 3) students (350+) from a didactic/direction instruction pedagogy to an inquiry pedagogy. Based on the students' test scores--Not only did the students learn the prescribed content, but they also developed 21st…

Teacher mathematical noticing is a key component of mathematics teaching expertise and has been a focus of recent professional development efforts. In this paper, I propose and describe explicitly the notion of "productive" mathematical noticing, which surfaces from a case study involving a group of seven mathematics teachers who…

School climate which is strongly related with the students' outcomes includes some of the components, among which disciplinary climate in schools was expressed as the dominant one. Safety and order in schools which is strongly related with the physical and emotional security stated as one of the indicator of disciplinary climate in schools. In…

Australian and Singaporean students have been exposed to different forms of teaching due to cultural differences in education. In each country, varying degrees of importance has been placed on explicitly teaching problem-solving heuristics. This paper highlights the different strategies employed by students from each country when solving a word…

This paper reports further findings from a study on categorisation of typical problems in the learning of ratio originally presented at the 2011 conference. The paper focuses specifically on the seven categories identified; examines strategies used by two classes of Primary 6 students to solve problems, and presents data in the form of student…

Limited Singapore research indicated a lack of exposure of modelling tasks at primary levels. Teacher reflection is used as a tool in design research cycles exploring the potentials of modelling tasks in a Singapore primary five classroom. Findings reveal that the teacher identified three potentials of a modelling task on children's…