Using mathematical modelling to solve problems appears in all year levels in the Australian Curriculum: Mathematics (v. 9), and is probably the most authentic way of teaching mathematics in context. However, the term mathematical modelling, even if familiar to teachers, may not be well understood or enacted confidently by teachers in their…

The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.

The authors share the results of a research project involving the use of mathematics to develop students' Numeracy General Capabilities. The current article delves into an example of a teacher supporting 'good habits of mind' through focussing on the Critical Learning Disposition of accuracy.

Time estimations, patterns and measurement sense are important skills to develop within the mathematics classroom (Mildenhall, 2016; Thomas et al., 2017). To develop a true understanding of time, students need to holistically understand: the language of time, the notion of duration and succession, how time is measured, and the concept of time…

This article builds on the three types of classroom talk identified by Mercer and Wegerif (1999) by adding complementary criteria that can be used when classifying student talk in the mathematics classroom.

The economic fallout from the COVID-19 pandemic is exposing more and more Australians to financial loss, hardship and poverty. Even primary-aged students may be privy to conversations about unemployment, business closures, household budgeting, and difficulties making ends meet. Mathematics is a powerful tool that can raise awareness of inequity…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Self-explanation prompts are questions that encourage students to explain their reasoning. In this article Kelly, Laura and Julie explain the benefits of using self-explanation prompts for teachers, describe how they align with the Australian Curriculum, and provide instructions for creating them.

This article presents an analysis of contextual tasks to support the development of counting in Foundation Year classrooms. The tasks allowed the students to engage in authentic and realistic number experiences on which to build their understandings of early number.

In this article, Rebecca Seah and Andrew Beencke explore the importance of developing critical thinking and spatial reasoning skills. They explore a series of activities designed to develop the visualisation and critical thinking skills with Year 4 students.

Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

Differentiating instruction can be difficult, however, when higher performing students yearn to be stretched and lower performing students benefit from scaffolded support. One way to meet these students' learning needs and everyone in-between is to embrace the notion of novel exploration in support of critical school mathematics concepts. Novelty…

A major problem for teachers is that students are different, they learn mathematics differently, and at different rates. Regardless of this, schools organise students into large groups or classes of 20 to 30 students all about the same age. Then there is the "Australian Curriculum: Mathematics" that states the student learning outcomes…

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.

It is important for students to make informed decisions about computation. This article highlights this importance and develops a framework which may assist teachers to help students to make effective computational choices.