Effective learning in chemistry education requires students to understand visual representations across multiple conceptual levels. Essential to this process are visuospatial skills which enable students to interpret and manipulate these representations effectively. These abilities allow students to construct mental models that support problem…

When young students engage with activities aimed at improving spatial reasoning, there is potential to also improve learning and performance in practical mathematics problem-solving tasks, scientific inquiries, and other STEM-based tasks. In this study, students worked in pairs to problem solve through 3D construction. The aim was to assess…

Australia has a long-standing interest in fostering innovation capabilities to drive its future prosperity. However, it has only been in recent years that an emphasis on developing these capabilities has been formally extended into the classroom through the introduction of the Australian Curriculum Technologies. In 2017, the State Government of…

In this article, the authors emphasise the importance of purposeful mathematical discussion and using sequences of connected, cumulative, and challenging tasks in advancing students' spatial reasoning in the early years of schooling.

Understanding spatial reasoning is important to success in mathematics. This article shows how the proficiency strands in the "Australian Curriculum: Mathematics" provide the tools needed for effective teaching and learning of spatial thinking.

Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia?

Most large-scale summative assessments present results in terms of cumulative scores. Although such descriptions can provide insights into general trends over time, they do not provide detail of how students solved the tasks. Less restrictive access to raw data from these summative assessments has occurred in recent years, resulting in…

The use of multiuser virtual environments for educational purposes is in its infancy but offers potential for exploration of spatial contexts that could not otherwise be experienced. We report on pre-service teachers' experiences in designing learning activities as a result of immersion in the CAVE2™, a 320-degree, cylindrical 3D virtual…

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…

Spatial reasoning--the ability to visualise and play with shapes in one's mind--is essential in many fields, and crucial in any Science, Technology, Engineering, Mathematics [STEM] discipline. It is, for example, the ability that the engineer needs to build bridges; the chemist to see the three-dimensional structure of a molecule; the architect to…

This paper describes Singapore and Australian Grade 6 students' (n=1,187) performance on a symmetry task in a recently developed Mathematics Processing Instrument (MPI). The MPI comprised tasks sourced from Australia and Singapore's national assessments, NAPLAN and PSLE. Only half of the cohort solved the item successfully. It is possible that…

Most teachers feel confident espousing the benefits of using picture books in English lessons, talking about the importance of using the illustrations to enhance the text, engaging students and fostering a love and appreciation of literature. How many teachers passionately advocate the use of these same picture books in mathematics lessons? This…

It is not often that one can introduce primary school students to a problem at the forefront of mathematics research, and have any expectation of understanding; but with magic squares, one can do exactly that. Magic squares are an ideal tool for the effective illustration of many mathematical concepts. This paper assumes little prior knowledge on…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

The author describes a pilot study to investigate the extent to which learners use imagery in a variety of spatial problems. In order to discover how to encourage pupils to use imagery and thus to become better problem solvers, this study set out firstly to explore how pupils are able to use imagery in a variety of tasks. The tasks involved mental…