The Scaffolding Numeracy in the Middle Years 2003-2006 Project (SNMY) focussed on the efficacy of an assessment-guided approach to improving student outcomes in numeracy in Years 4-8. The project was prompted by previous research (e.g., Siemon, Virgona & Corneille, 2001), which identified an "eight-year" range in student mathematical achievement…

In this article, the author makes reference to four comic book characters to make the point that together they are a formidable team, but on their own they are vulnerable. She examines the four components of mathematics assessment items and the need for implicit instruction within the classroom for student success. Just like the "Fantastic Four"…

Developing critical numeracy is important in a society where mathematics plays a particular and significant role. One way of helping learners to develop the level of numeracy required to participate in society is by exploring ideas embedded in rich, accessible tasks. These can be linked to contexts that have relevance in their lives. One…

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…

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…

Being numerate involves using mathematical ideas efficiently to make sense of the world, which is much more than just being able to calculate. What is needed is the accurate interpretation of mathematical information and the ability to draw sound conclusions based on mathematical reasoning. This skill may be called "critical numeracy", defined as…

The 21st century has placed increasing demand on individuals' proficiency with a wide array of visual representations, that is graphics. Hence, proficiency with visual tasks needs to be embedded across the curriculum. In mathematics, various graphics (e.g., maps, charts, number lines, graphs) are used as means of communication of mathematical…

Combating the perception of many adults and children that mathematics is difficult, irrelevant and not for them is a major task for teachers and one that is not easily achieved. Attempts to place mathematics in real-life situations or to use contexts to alleviate the apparent separation of school mathematics and out-of-school mathematics have been…

Children's natural curiosity about numbers, big and small can lead to exploring place-value ideas. But how can these abstract concepts be experienced more concretely? This article presents some practical approaches for conceptualising very small numbers using linear models, area models, volume models, and diagrams.

This article tells the story of one student who chooses her personal interest in pigeons and their lifestyle to demonstrate her understanding of measurement concepts. The student's work is used to consider the possibilities for assessment afforded by tasks designed within reform-based curricula. Anita (pseudonym) was a Grade 6 student who was part…

The integration of information and communication technology (ICT) into school educational practice is seen as being crucial to prepare "young people to participate in and contribute to an information society that requires high levels of literacy, numeracy, technological competence and a spirit of creativity and enterprise". In National Literacy…

Games are among the many types of activities that can be used to help promote number sense. Chosen and used wisely, games encourage learning and motivate many students to grasp concepts more quickly and fully. This article describes a popular and easy-to-implement number sense game--called Digits and Dice--most commonly used in conjunction with…

The authors discuss proportional reasoning as a challenging yet central concept for students in the middle grades that lays a foundation for mathematics studied later in high school. Four types of proportional reasoning problems are discussed: (1) Part-part-whole (comparing a subset (part) of a whole with its complement (other part) or the whole…

Citing that the concept of fractions is not a single idea, and that students may be proficient in one area of fractions while also holding contradictory beliefs, the writer reviews some common problems areas in teaching and learning about fractions, and maintains that the fraction concept does not respond to simple remediation methods. The author…

The author advocates for writing as an essential communication skill for learning mathematics. Mathematical diary writing is cited as a good way for students to privately represent their thinking through pictures, language, or symbols, and also as a channel for children to communicate with themselves and with their teachers. Cited research…