The phenomenon of teachers designing their own instructional materials is gaining more attention in research. Different aspects of this enterprise have been examined--its potential to reveal the complexity of teachers' instructional planning considerations, the design principles employed by teachers to realise instructional goals, among others. In…

It is generally understood that both clear teacher instruction and orderly classroom climates support student achievement in mathematics. However, to what extent does instructional clarity "compensate" for classroom disorder? In this exploratory study, we analyse data from 8,864 Year 8 students sampled by TIMSS 2019 to investigate the…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

In this study, we examined whether generalised mathematics anxiety, application of mathematics in science anxiety, and positive attitudes towards mathematics influenced adolescents' intentions to study biology, chemistry, and physics in Grades 11 and 12. Participants were 477 students in Grades 8-10 from two schools in Western Sydney. Girls…

In order to discuss the role of mathematics education in developing students' STEM Capabilities and 21st Century skills, it is necessary to define what is meant by these terms given the extent to which they are broadly used in global contexts. A literature review aimed at providing clarity, through affording a concise interpretation of each term…

This paper attempted to make explicit some of the underlying characteristics of spatial visualisation using the concept of area of composite shapes. By engaging students with metric-free tasks, we identify the type of perceptual and visual/spatial manoeuvres that they deploy in such situations. Interview data collected from three students in Grade…

The purpose of this study was to explore the factorial structure of motivation and perception items from a student survey utilised as part of the Reframing Mathematical Futures II (RMFII) Project. Data was collected in 2017 from 442 students in Years 7 to 10 from various different States across Australia. An exploratory factor analysis identified…

Reflective practice in mathematical teaching improves teaching skills and confidence. This paper investigates affect-based critical moments as a reflective practice for pre-service teaching. An embedded case study is presented by one regional university as a discovery into the "reflective" phase of the Enhancement-Learning-Reflection…

In this preliminary study, to inform a larger study where Year 8 students create an online module for peers, I surveyed mathematics teachers (n = 30) on essential mathematics topics: (a) most critical for students' success, (b) most conceptually challenging for students, and (c) in which more fluency is needed, as well as (d) their likelihood of…

In this study, we investigated students' thinking about the use of letters in algebra. Responses from over 1,400 Australian secondary school students to a set of three algebra items were analysed to determine the prevalence of the "letter as object" misconception. We estimate that 50% to 80% of Year 7 students bring this misconception to…

The Australian Curriculum: Mathematics calls for the concurrent development of mathematical skills and mathematical reasoning. What are the big ideas of mathematical reasoning and is it possible to map their learning trajectories? Using rich assessment tasks designed for middle-years students of mathematics, this symposium reports on the…

In this paper, we undertake a content analysis of mathematics assessment tasks to understand how often graphical representations are embedded within high-stakes national and international tests. A total of 274 items were analysed, consisting of 160 Grade 9 UN items, 88 Grade 8 TIMSS items, and 26 PISA items. Analysis showed that all items in the…

In Maori medium schools, research that investigates children's mathematical computation with number and connections they might make to mathematical ideas in other strands is limited. This paper seeks to share ideas elicited in a task-based observation and interview with one child about the number ideas she utilises to solve a problem requiring…

Exploring why more boys than girls continue to study higher levels of mathematics in senior school when there appear to be no gender differences in achievement in earlier years is worthy of investigation. There are potentially many reasons why this occurs including career aspirations, interest, and attitudes. One factor explored in this study was…

Middle Years students often do not see mathematics as useful. Authentic and real mathematics tasks and artefacts are frequently advocated as arresting this situation. However, often such experiences are contrived and lack authenticity. This paper reports on how a group of Middle Years students used mathematics and technology to engage in a real…