The Australian Curriculum: Mathematics (AC:M) prompts consideration of planning processes teachers typically use (as a whole school, in grade levels, and at the classroom level). In order to gain insights into the nature of the planning decisions teachers make, Australian teachers drawn from every state and territory were invited to respond to a…

Essential to teachers' planning are decisions regarding what should be taught. Curriculum documents are the most obvious authority. But what is a "curriculum document" for a mathematics teacher in Australia? Are there other credible sources of information that Australian teachers draw on when deciding what to teach? This article examines the…

In recent years, there has been greater attention in research and professional development work to discussion of the kinds of knowledge teachers need to teach effectively in the mathematics classroom. It seems reasonable that in planning at the school level, teaching team level and then specifically for a given lesson, teachers might have a sense…

We are interested in exploring the processes teachers use when planning. We sought responses from teachers on aspects of their planning from a survey of various aspects of their decisions. We found that, while there is diversity in processes teachers use for planning, a consistent theme was that teachers make deliberative decisions at all stages…

At some stage in the planning process, teachers develop or select tasks which prompt the type of activity that can offer students experiences that can help them learn the intended content. This article presents results from an item on a survey that invited teachers to match particular content descriptions with selected tasks. While many teachers…

The Australian Curriculum: Mathematics encourages teachers to consider seriously the four proficiencies: Understanding, Fluency, Problem Solving and Reasoning. In responding to the reasoning proficiency, many teachers may find that the language of the classroom may well change. In this article, we discuss the meaning given to the term reasoning…

Teachers are encouraged to immerse their students in rich and engaging learning environments (NSW Department of Education and Training, 2003). One teaching tool that can facilitate the creation of rich learning environments is the interactive whiteboard (IWB) (Baker, 2009). When teaching mathematics, the varied representational aspects of IWBs can…

As part of one of the undergraduate Bachelor of Education units offered as a specialisation unit in primary mathematics education at The University of Notre Dame Australia, the pre-service teachers were asked to complete an assignment. In this assignment they were given 12 typical algebra text book problems which they were asked to solve and then…

Primary teachers play a key role in their students' future mathematical success in the early secondary years. While the word "algebra" may make some primary teachers feel uncomfortable or worried, the basic arithmetic ideas underlying algebra are vitally important for older primary students as they are increasingly required to use "algebraic…

Engagement with mathematics during the primary years of schooling is crucial if students are to develop an appreciation for and understanding of the value of mathematics learning. It has been claimed that students who are engaged are more likely to learn, find the experience of schooling more rewarding, and are more likely to continue with higher…

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…

This article outlines how a Brisbane independent school, Clayfield College, improved the ability of its Year 3 students to solve addition and subtraction word problems by utilising a schematic approach. It was observed that while students could read the words in the text of a written problem, many had difficulty identifying the core information…

When discussing issues surrounding mathematics education, the topic of student engagement (or lack of) often dominates conversations. The low levels of engagement with mathematics experienced by students during the middle years have been of some concern to Australian mathematics educators and stakeholders in recent decades. Lowered engagement with…

Equivalence is mostly associated with the strand of Number and Algebra and is fundamental in both of the substrands. Equivalence is considered a key and foundational concept of algebra, and whereas an assumption might be made that equivalence is a relatively "easy" concept; studies have shown that when asked to balance an equation such as "8 + 4 =…

The everyday use of "proficient" carries connotations of having reached a level of expertise. One would not describe someone stumbling through a rendition of "Chopsticks" as a proficient piano player; but novice pianists work on musical proficiencies--practicing scales or playing a polka--in parallel. They do not put off playing the polka until…