This article encourages approaches that develop children's understandings of data representations. In particular, when children develope flexibility in their approaches to data representation and understanding, the same data can be represented in different ways. Flexible and adaptive use of representations is part of mathematics competence which…

This article outlines the author's efforts to build her knowledge of students' understandings of mathematics whilst catering for different abilities within a Year 1 classroom, using the freely available "Assessment for Common Misunderstandings tools." "The Assessment for Common Misunderstandings" materials have been…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.

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…

This paper reports on a classroom investigation of a sequence of cross-disciplinary mapping lessons undertaken by Grade Five students at Black Hill Primary, a Victorian State Primary School in Ballarat. While this activity was broadly framed around Mathematics, there were also important elements from Geography, (a new emphasis in the Victorian…

One of the challenges facing teacher educators is providing our pre-service teachers (PSTs) with authentic experiences that cross the boundaries between Initial Teacher Education (ITE) and the classroom. An additional challenge facing the mathematics teacher educator, is addressing and deepening PSTs' mathematical content knowledge (MCK), which…

We often hear about how well other countries are performing in international tests such as PISA. In this article, Stephen Norton and Qinqiong Zhang describe a classroom and a tutor session from a Chinese setting. They describe the amount of time spent in class and out of class working on mathematics. Also they explain how learning is highly valued…

In this article, the author explores the value of using simple robotics such as BeeBots and ProBots to enhance the teaching and learning of mathematics in the primary classroom. Before making the decision to use such technologies, it is important that they be evaluated in terms of their affordances and constraints. In other words, teachers need to…

The use of enabling and extending prompts allows tasks to be both accessible and challenging within a classroom. This article provides an example of how to use enabling and extending prompts effectively when employing a challenging task in Year 2.

During Term 3 2004, 19 teachers and more than 400 students in six Catholic parish primary schools in the Archdiocese of Melbourne trialled the new mathematics and numeracy "learning objects" from The Learning Federation (TLF). Learning objects are small, reusable digital resources that can be used with a web browser. Teachers in the…

Computational thinking can be defined as "solving problems, designing systems, and understanding human behaviour, by drawing on the concepts fundamental to computer science" (Wing, 2006, p. 33). There are strong links between computational thinking associated with coding and mathematical thinking (Wing, 2006). The digital technologies…

Robot toys can be used to promote STEM subjects, particularly coding and mathematics. The lesson described in this article illustrates how a robot toy was used with a number line to explore equality and missing addends in Year 1. The lesson progression models how activities can be sequenced to build on developing understandings while supporting…

Providing students with an opportunity to explore mathematical content through games allows teachers to include tasks that: (1) present alternative representations of the content; (2) welcome various expressions of mathematical reasoning; and (3) incorporate variations that empower all students to engage in the problem solving process. Games not…

The importance of ratio and proportional reasoning is regularly emphasised, however, the teaching and learning of these concepts continues to present challenges. In this article the authors explore a hands-on task, designed to encourage student visualisation of the concept of ratio. Teacher perceptions of this task were positive, indicating the…

In an attempt to engage primary-school students in a hands-on, real-world problem-solving context, a large urban district, a mathematics and science institute housed in a college of education, and a corporate sponsor in the southwest United States, joined forces to create a mathematics and science trail for fourth- and fifth-grade students. A…