In this article, the author clarifies the distinction between numeracy and mathematics and the implications of this distinction for teachers of mathematics. In doing so she has, of necessity, focused on one--albeit significant--high stakes assessment genre used on Australian students that purports to measure numeracy. It is essential that teachers…

In this paper, the author recommends that every teacher of mathematics should undertake an analysis using their own data. She further recommends that they reflect on the outcomes of their analysis and share it with colleagues. Teachers can look at an individual student's results, variations in results between student sub-groups in their classes,…

Politicians have used the promise of "back to basics in our schools" as an educational platform for some time now, possibly in recognition that this is something the general population perceives as an issue they might just vote for. In the various positions the author has held, both professional and in community service, she has been required to…

For over 30 years this author has been involved in the teaching and learning of mathematics and numeracy in Australian schools, teaching in high schools (Years 8-12) for more than 20 years at different school settings ranging from rural and remote to inner city, high socio-economic status schools to schools of students mostly from poorer, lower…

According to this author, the solution to the "phonics versus whole language" debate over the teaching of reading is balance and a focus on the needs of all students. There is similarly a need, in developing numerate young people, to focus on the teaching and learning of mathematics and mathematics skills some of the time, and on application and…

This paper will provide an informative backdrop for some professional discussion for teachers of mathematics who teach middle years students in their classrooms. It will also attempt to draw out some likely implications of the generic discussion presented for mathematics teaching in the middle years. It also provides some much needed information…

Education systems around the world are talking about "lifelong learning", "futures", "critical literacies", and so on. What do these things mean in the context of being a teacher of mathematics? In this article, the author attempts to put these things into perspective. She contends that, in clarifying any situation that requires some mathematical…

Describes the use of investigations for the purpose of assessment, teaching, and learning. Lists types of questions that can be included in investigations. Explains how to write an investigation and provides some examples. (ASK)

Presents a method for solving linear equations involving the use of inverses instead of memorizing rules. (MKR)

Discusses how student errors can be utilized to understand the nature of the conceptions that underlie students' mathematical activity. Looks at why errors are made in mathematics, how teachers and students perceive errors, and how to use errors in the classroom. (MDH)