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…

These authors have been working with a school in New Zealand that teaches mathematics, in the Maori language. In the last two years, the focus has been on improving the quantity and the quality of writing in mathematics. For the authors, "writing" meant using words, diagrams, symbols and graphs, either individually or in combination.…

Early childhood teachers know that children arrive at school with an enormous range of mathematical capabilities, but this is not always reflected in mathematics curricula that are offered. The diverse nature of the experiences young children have encountered before commencing school and their differing abilities to articulate their thoughts…

This article illustrates a teaching exploration at an Indigenous Community School in the Kimberley region of Western Australia that sought to use a specific way of thinking about particular content domain, subtraction, to develop focused, mathematically-rich learning experiences. First, the authors explain the importance of having clear…

In this article, the author reflects on the impact of homework on his children, and more generally about the value of homework as an educational activity. Putting aside the question as to whether this is in fact homework or just schoolwork done at home, the first fundamental question is whether homework is indeed useful and necessary in a…

Fluency with basic number facts is vital for students' progress in mathematics. Not only does it contribute to students' facility with mental computation and algorithms, but an understanding of numbers and their properties builds a foundation for future mathematical work including algebra. There are many activities that can help students "make…

Curriculum reform aimed at improving students' reasoning strategies for calculating was the focus of a research project in which the authors participated along with two school communities in regional Victoria. Another focus of the research was assisting teachers to gain insight into how their students approached calculations. This article explores…

In this article, the author presents three different tasks that can be used to assess students' understanding of the concept of length. Three important measurement concepts for students to understand are transitive reasoning, use of identical units, and iteration. In any teaching and learning process it is important to acknowledge students'…

From 1999-2005, the Mathematics in Indigenous Contexts (MIC) project was implemented by the Board of Studies, New South Wales (NSW), in conjunction with the NSW Department of Education and Training, and academics from two universities. MIC project members worked with schools and communities at two sites: a primary school in an urban community in…

The mathematical development of children with Down syndrome (DS) is largely uncharted territory and yet the experience of parents and teachers reminds people that children with DS can and do learn mathematics. In this article, the authors describe a study that examines the mathematical development of children with DS, and offer suggestions arising…

There are a wide range of provisions to be considered when catering for the mathematically gifted student(s) in the classroom. These include acceleration, enrichment, differentiation, curriculum compacting, mentorships, and competitions. The focus for this article is specifically on the use of competitions as one provision for the education of…

For many students, the experience of school mathematics is not a positive one. Processes of exclusion operate to disadvantage students along social class, race and gender lines. For students from backgrounds that are not part of the success regime, significant scaffolding by teachers is needed if they are to be successful. In this article, the…

This article describes some of the features of the Mathematics for Learning Inclusion program. The program is designed to improve the teaching and learning of mathematics in clusters of primary schools serving low socio-economic communities (low SES). Specifically, it aims to improve the engagement and learning outcomes for low SES and Aboriginal…

Number sense has been recognised as central to young children's development of mathematics for a number of decades. A student with a "good" sense of number normally has a thorough understanding of relationships among numbers and operations--being able flexibly to partition and combine numbers in convenient ways to allow appropriate estimations and…

Virtually all mathematics is based on pattern and structure. A mathematical "pattern" is any predictable regularity, usually involving numbers or space. In every pattern, the various elements are organised in some regular fashion. The way a pattern is organised is called its "structure," which may be numerical or spatial. In this article, the…