The purpose of this article is to explain the authors' model of numeracy and outline how the project was conducted. The idea of numeracy is a relatively recent one. The term was first introduced in the UK by the "Crowther Report" (Ministry of Education, 1959) and was defined as the mirror image of literacy, but involving quantitative thinking.…

This article presents a lesson that focuses on numeracy. In the lesson, students were tasked to find the best path for a new expressway. The purpose of the activity was for students to gain an appreciation of the complexities associated with designing public infrastructure and to put into practice the mathematical skills. This article also…

The authors illustrate three basic types of reasoning used in mathematics by showing how they operate in practical and mathematical situations. The importance and function of the different types of reasoning in each situation is outlined. As a consequence the authors note that while introducing new techniques by example is good from a pedagogical…

Reach for the Stars is AAMT's data-collection activity for National Literacy and Numeracy Week, funded by the Australian Government. This year's activity was on the theme "More2books" and many thousands of students and their teachers explored the mathematics of the books in their classrooms. This article presents a version of the findings which…

Ten years ago, the author wrote a short piece entitled "Mathematics and numeracy--Is there a difference?". In mathematics, many put an emphasis on the content concepts and skills contained typically in strands such as Algebra, Number, Geometry, etc. Others argued that "mathematics" was about the "search for pattern" and that the key elements of…

The author has recently been experimenting with having students work at a set of six blackboards mounted on the walls of a maths teaching space. In this article, he describes this project which he started because he had become impatient with, and aggravated by the usual setup of a maths teaching space. He had started to question why there are…

The term "numeracy" seems to be commonly used in discussions about school mathematics education these days. It is not altogether clear what various school systems intend "numeracy" to mean and whether or not it is meant to replace the term "mathematics", whether it is just one part of mathematics or whether it is meant to signify something else in…

There is persistent evidence of poor levels of financial literacy in a number of sectors of the Australian community. Young people, in particular, tend to fare badly in studies of financial literacy levels. A recent study commissioned by the Commonwealth Bank Foundation found that 16-25 year-olds constitute 42% of the bottom quartile, and only 4%…

There is much to be learned and pondered by reading "Proofs and Refutations" by Imre Lakatos (Lakatos, 1976). It highlights the importance of mathematical definitions, and how definitions evolve to capture the essence of the object they are defining. It also provides an exhilarating encounter with the ups and downs of the mathematical reasoning…

The "National Mathematics Curriculum Framing Paper" has been released for consultation until 28 February 2009 (see www.ncb.org.au). Professional associations, teachers, teacher educators and others are taking the opportunity to organise meetings and forums to consider the views presented in the paper and to provide critical feedback and commentary…

Several researchers have noted how children's whole number schemes can interfere with their efforts to learn fractions. An Australian study found that children who were successful with the solution of rational number tasks exhibited greater whole number knowledge and more flexible solution strategies. Behr and Post (1988) indicated that children…

A solid understanding of equivalent fractions is considered a steppingstone towards a better understanding of operations with fractions. In this article, 55 rural Australian students' conceptions of equivalent fractions are presented. Data collected included students' responses to a short written test and follow-up interviews with three students…

Computers have been in schools and indeed some mathematics classrooms for more than 35 years. Some schools have chosen to centralise their computers in laboratories, while others have a mix of configurations and networks. Whatever the case, how extensive has been the classroom use of computers for teaching and learning in mathematics? What has…

Inference, or decision making, is seen in curriculum documents as the final step in a statistical investigation. For a formal statistical enquiry this may be associated with sophisticated tests involving probability distributions. For young students without the mathematical background to perform such tests, it is still possible to draw informal…

Imagine being able to engage students in learning statistics. Teachers would need their students to have access to a large database of real data, preferably about students. It would be even better if students were part of the database. Ideally, the data would enable students to ask questions of interest to them. For a teacher, it would be…