This article describes some aspects of Piaget's Theory of Cognitive Development. It highlights the importance of giving young children specific access to explore conservation in measurement, which will give students invaluable experiences in measurement that in years to come will be regarded as their prior knowledge of the concept. This is…

Place value underpins much of what people do in number. In this article, the author describes some simple tasks that may be used to assess students' understanding of place value. This set of tasks, the Six Tasks of Place Value (SToPV), takes five minutes to administer and can give direct insight into a student's understanding of the number system…

It is a common belief that the incorporation of computer technology into mathematics teaching and learning motivates and engages students. However, research into the use of ICTs (Information and Communication Technologies) in mathematics classrooms has revealed some issues that could negatively impact on student engagement as a result of how they…

This article is intended to assist people who have never written for a journal, or who perhaps have never even thought about doing so. In this article, the authors provide some advice for budding Australian Primary Mathematics Classroom (APMC) authors. Information on where to start, what's already been done, what will be in the paper, who will…

Much has been written about the value of concrete manipulatives for supporting students' mathematics learning. This is particularly true for the domain of fractions and decimals. Understanding of decimal place-value is seen as critical for students' mathematics learning. To understand decimals, students need first to have a solid understanding of…

In providing a continued focus on tasks and activities that help to illustrate key ideas embedded in the new Australian Curriculum, this issue the authors focus, on Geometry in the Measurement and Geometry strand with strong links for an integrated focus on the Statistics and Probability strand. The small unit of work on the sorting and…

A number of underlying principles for including technology in the mathematics classroom is provided by Way and Webb (2006). They see technology, if incorporated in a rich and meaningful way, as potentially providing: (1) a shift from "instructivist" to constructivist education philosophies; (2) a move from teacher-centred to student-centred…

The aversion that many girls and boys experience towards mathematics has been one of the author's major concerns since he started teaching. In this article, he describes a project called "Numbers Day" that was designed to improve students' attitudes toward mathematics. There are many features of Numbers Day that teachers might incorporate into…

Digital cameras are now commonplace in many classrooms and in the lives of many children in early childhood centres and primary schools. They are regularly used by adults and teachers for "saving special moments and documenting experiences." The use of previously expensive photographic and recording equipment has often remained in the domain of…

A perpetual dilemma of schooling is how to help students develop skills needed for everyday life, including the work world. Quantitative literacy, also called numeracy, involves an ability to apply essential mathematics skills to authentic or near-authentic tasks. Carefully planned classroom activities can help students develop these important…

Decipipes are a representational model that can be used to help students develop conceptual understanding of decimal place value. They provide a non-standard tool for representing length, which in turn can be represented using conventional decimal notation. They are conceptually identical to Linear Arithmetic Blocks. This article reviews theory…

In this article, the authors describe a reform-based activity concerning multiplication, developed within the context of the children's story "The Wonderful Pigs of Jillian Jiggs" by Phoebe Gilman. They also provide vignettes of informal multiplicative thinking by Grade 2/3 children that occur during these activities. The informal multiplicative…

A kitchen garden is not just a place to grow food for cooking; it is a place of sensory stimulation through extraordinary explorations and investigations into the natural world. A kitchen garden contains vegetables, fruits, herbs, edible flowers, and/or ornamental plants; and animals such as chickens for supplying eggs, as well as manure for…

In this article, the author describes an open-ended drawing task that was used to discover young children's experiences with, and understandings of, the concept of mass. Mass is defined as the amount of matter in an object, and, like time, it cannot be seen (NSW Department of Education and Training Professional Support and Curriculum Directorate…

"Scratch" is a media-rich digital environment that utilises a building block command structure to manipulate graphic, audio, and video aspects. It incorporates elements of Logo including "tinkerability" in the programming process. In "Scratch" students use geometric and measurement concepts such as coordinates, angle, and length measurements. It…