Opportunities to learn related to the use of quantitative reasoning to solve higher-order real-world applications that reflect the messy nature of the world are scarce and vary across countries. Those experiences are essential to the development of quantitative literacy. This literacy, like that related to language, is critical for all children.…

The mathematical construct of dimension is one of the fundamental ideas for developing a sound understanding of two-dimensional (2D) and three-dimensional (3D) shapes. Yet, research in mathematics education has rarely explored children's understanding of dimension in primary education. This paper explores how year 5/6 (9 to 11 years old) children…

Internet access and the availability of digital devices in classrooms have been growing exponentially. This has led to the development of subscription-based online platforms for mathematics learning, available for purchase by schools and individuals. Currently, research in mathematics education tends to focus on the benefits to teaching and…

When teaching the multiplicative domain in New Zealand primary schools, teachers tend to spend a greater proportion of time on the meaning and processes of multiplication, to the detriment of a specific focus on understanding the concept of division. When division is taught, it tends to be by reversing the context and turning the division…

Mathematics education increasingly happens online and is not bound by the local context. This means mathematics learning and the learner may be defined by international private corporations as well as by national and school curricula. In this paper, I draw on a study of online mathematics instructional programmes used in New Zealand primary…

Specialised Content Knowledge (SCK) is defined by Ball, Hoover-Thames, and Phelps (2008) as mathematical knowledge essential for effective teaching. It is knowledge of mathematics that is beyond knowledge which would be required outside of teaching; for instance, the capacity to determine what misconception(s) may lie behind an error in…

Maths games are fun and engaging, but what messages do these games send to the students in our classrooms? During mathematics lessons children learn more than just mathematics content; they also come to understand what it means to be a learner of mathematics. In this article I discuss the concept of "mathematics learner identity" and use…

The paper explores one episode from a larger study, where a multilingual student (10-year-old) described her understanding of what makes a shape 2D or 3D. Bakhtin's dialogic theory and Garfinkel's ethnomethodology inform the theoretical framework. Transcribed data of the episode is presented, which is analysed at micro-level and macro-level. The…

This article from Carly Sawatzki and Peter Sullivan encourages schools and teachers to consider ways to embed financial literacy tasks in mathematics lessons more often, and includes an authentic task to try with your students.

Problem solving is at the heart of mathematics, and is known to support learning for a diverse range of children. However, challenges can be encountered when teaching mathematics through problem solving. This article provides insights from research literature into: (1) the nature of the challenges; and (2) some ways that problem solving can be…

Teacher questioning is a very important aspect of teacher-student interaction in classrooms around the world. However, expectations of the purposes and types of these interactions can be variable, particularly across cultural contexts. This qualitative study considers the way teacher questioning is used in a mathematics class in a Chinese primary…

This paper explores three multilingual students' (9 to 11-years-old) conceptual understanding of three-dimensional (3D) shapes as displayed through peer and classroom interactions in two New Zealand primary classes. Bakhtin's dialogic theory and Garfinkel's ethnomethodology inform the theoretical framework. The paper presents two excerpts from…

In this paper, I report on one teacher's journey of change in grouping her students for mathematics learning. In addition, I describe and illustrate the design and implementation of a smart tool used for planning for effective grouping in collaborative mathematics problem-solving. The findings illustrate that when explicit teacher support is…

When working together to enact new and challenging pedagogies, sharing classroom practice is a key resource to inform teachers' inquiry conversations. Understanding the role of trust in collaborative inquiry represents an important tension when teachers are sharing aspects of their work to interrogate and improve their practice. The study used a…

The practice of grouping mathematics students by perceived levels of attainment, commonly referred to by teachers as ability grouping, is a contentious and long-standing topic of debate in education. Responses from a survey of 102 mathematics support teachers affirm the widespread use of ability grouping within New Zealand primary school…