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…

This article describes a teacher's Maths lesson that focuses on numeracy in health and physical education learning area. In the lesson, the students were learning about Directed Numbers, something they often struggle with and a topic where the teacher finds it hard to explain using real life situations when using addition and subtraction. The…

This article describes a project that focuses on numeracy in secondary school mathematics. During the course of the project a teacher had the chance to develop and trial new tasks and styles of teaching and learning numeracy. She became increasingly comfortable with using more extended tasks for learning mathematics. However, she believes that it…

Is the time allowed for National Assessment Program Literacy and Numeracy (NAPLAN) numeracy tests sufficient? Is there any evidence that students run out of time and, if so, what are the implications for teachers who prepare students for NAPLAN numeracy tests? In each of the 2010 Years 7 and 9 numeracy tests students were required to complete 32…

Pattern generalisation has become an important feature of mathematics classrooms around the globe. Sometimes these activities focus purely on given numerical terms, but the use of pictorial or figural patterns is now becoming part of the standard repertoire for such generalisation exercises. From a pedagogic point of view, the investigation of…

This article describes a lesson study on the area of a parallelogram for year 7 students. In Singapore, students in secondary schools are streamed into ability bands. Normal (Academic) is the label for the middle band. The teachers were convinced that Lesson Study provided a valuable platform for professional development. The authors followed the…

The author became aware that there are hundreds of retired teachers in the community who want to continue to learn, or at least to have their intellect stimulated. Some join clubs or read books or do crosswords or even surf the net when they retire, but these folks wanted to be stimulated with some mathematics. The author was initially surprised…

A science teacher has the advantage of hooking learners with all their senses: flashes, bangs and smells. The science labs are something that many learners at the start of secondary school (high school) are eager to explore, and when there is an open day at school it feels unfair that the mathematics department has to try to compete for excitement…

Space-filling curves are related to fractals, in that they have self-similar patterns. Such space-filling curves were originally developed as conceptual mathematical "monsters", counter-examples to Weierstrassian and Reimannian treatments of calculus and continuity. These were curves that were everywhere-connected but nowhere-differentiable (or…

The language of mathematics is unique and complex. One feature of the mathematical register is the use of symbols and abbreviations. Whilst it may be possible for a student to think mathematically in the absence of symbols, the written communication of mathematical ideas cannot be achieved concisely without the use of mathematical symbols.…

This article explores how a focus on understanding divisibility rules can be used to help deepen students' understanding of multiplication and division with whole numbers. It is based on research with seven Year 7-8 teachers who were observed teaching a group of students a rule for divisibility by nine. As part of the lesson, students were shown a…

Proportional reasoning is an important cornerstone in children's mathematical development. This sort of reasoning has been shown to develop across the early years of schooling (ages 8 to 10) through the middle years (ages 11-14). In the early years, children tend to use additive reasoning to generate solutions to problems, while later comparisons…

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…

Proportional reasoning has been recognised as a crucial focus of mathematics in the middle years and also as a frequent source of difficulty for students (Lamon, 2007). Proportional reasoning concerns the equivalence of pairs of quantities that are related multiplicatively; that is, equivalent ratios including those expressed as fractions and…