The Trends in International Mathematics and Science Study (TIMSS) is an international comparative study of student achievement directed by the International Association for the Evaluation of Educational Achievement (IEA). TIMSS was first conducted in 1995 and the 2023 assessment formed the eighth cycle, providing 28 years of trends in mathematics…

Beginning in the 1960s and early seventies, classroom research contributed to understandings and insights concerning the complexities and diversities of teaching. In the late 1990s, classroom research began to also include student voices in the classroom. Socio-cultural theory turned the empirical focus toward student interaction, and…

The Australian Council for Educational Research (ACER) is one of the world's leading educational research centres. ACER's mission is to create and promote research-based knowledge, products and services that can be used to improve learning across the life span. This annual report describes ACER's milestones and accomplishments for the 2016-2017…

The Australian Council for Educational Research (ACER) is one of the world's leading educational research centres. ACER's mission is to create and promote research-based knowledge, products and services that can be used to improve learning across the life span. This annual report describes ACER's milestones and accomplishments for the 2015-2016…

The Australian Council for Educational Research (ACER) is one of the world's leading educational research centres. ACER's mission is to create and promote research-based knowledge, products and services that can be used to improve learning across the life span. This annual report describes ACER's milestones and accomplishments for the 2014-2015…

The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…

The Australian Council for Educational Research (ACER) is one of the world's leading educational research centres. Since it was established in 1930, ACER has built a strong reputation as a provider of reliable support and expertise to education policymakers and professional practitioners. Throughout 2018-19, ACER continued to expand…

This paper examines the factors that hinder students' success in working with and understanding the mathematics of quadratic equations using a case study analysis of student error patterns. Twenty-five Year 11 students were administered a written test to examine their understanding of concepts and procedures associated with this topic. The…

Play is traditionally considered the foundation of learning in the early years. Because play is characterized by free choice, it can be difficult for adults to ensure all learning is useful for children. The intervention described here took a novel approach to this problematic. It exposed 17 four-year-olds to different adult demonstrations to see…

"Specific Mathematics Assessment that Reveal Thinking" (abbreviated as "smart tests") provide an on-line formative assessment of middle years students. They aim to put information from research on students' understanding directly into the hands of teachers, by providing quick automated diagnosis of learning for all students in…

The way in which technologies support students with disability has been widely explored in recent times. Much of this research has focused on computer programs specifically designed to teach social and academic skills to students with disability. In the research reported in this paper we examined how students with disability could use technology…

Pre-service primary (elementary) teachers' mathematics anxiety affects their engagement with and future teaching of mathematics. The study measured the range of mathematics anxiety in 219 pre-service teachers starting a teacher education course in an Australian university. They responded to the Revised Mathematics Anxiety Scale (RMARS) and a set…

This paper reports on an investigation into pre-service teachers' mathematical content knowledge and their ability to interpret students' responses to a multi-digit multiplication task and make subsequent appropriate teaching decisions. Using a combination of quantitative and qualitative methods, the researchers tested aspects of the mathematical…

Recent international studies have highlighted the success of students from Hong Kong in mathematics and problem-solving, and have begun to suggest some of the factors associated with this success. Other studies have suggested that Hong Kong students are averse to risk-taking, favouring memorisation and imitation in their solution strategies. Year…

Within the current climate of heightened interest in the education of young children, it is essential that consideration be given to different factors which may impact, either positively or negatively, on the achievement of young learners when their academic progress in literacy and numeracy is considered. The research study reported in this paper…