Many students experience great difficulty understanding the meaning of fractions. For many students who have spent their early mathematics lessons focusing on counting (whole) numbers, recognising that there are many numbers between those whole numbers called fractional numbers, is quite revolutionary. The foundation of understanding fractions is…

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…

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…

As part of the Contemporary Teaching and Learning of Mathematics Project (CTLM), the mathematics education team at Australian Catholic University has the privilege of working with principals, teachers, students, and parents in schools in the Melbourne Archdiocese. A particular highlight is the opportunity to work alongside project teachers and…

In May 2008, the first National Assessment Program for Literacy and Numeracy (NAPLAN) test was administered across Australia to determine the standard of literacy and numeracy achievement of Australia's students in Years 3, 5, 7 and 9. Some students did very well on the tests and some did not. This type of test can tell a great deal about…

Teachers and researchers work hard to discover the most effective ways of teaching mathematics in the primary classroom. When searching for new tasks to teach or ways to adapt a task to fit the class's profile, they often "phone a friend," drawing on the know-how and knowledge of colleagues and experts. Other articles in this issue attempt to…

Many people believe that the 1989 National Council for Teachers of Mathematics (NCTM) standards heralded the biggest mathematics reform of the 20th century. Despite all reform efforts, recent studies indicate that mathematics taught in primary and middle school mainly consists of basic arithmetic tasks that use memorization and repetition. Today…

Perimeter and area are important real-world concepts in their own right, and their relationship certainly is no less important. This relationship can be intuitively challenging for both children and adults. In this article, the author explores the relationship between perimeter and area with students from grades 4 to 6. The study of perimeter-area…

In this article, the authors would like to look at a range of solutions submitted by Year 4-5 teams in the 2003 "Naturally Mathematical Challenge" to a question that involves no more than the numbers 1 to 6 and possible arrangements of them. In the context of other competition questions and in their elaboration of mathematical process, they have…