Although number sense is difficult to define, it involves having a good intuition about numbers and their relationships, including the ability to have a "feel" for the relative size of numbers and to make reasonable estimations. Students with good number sense typically recognise the relative magnitude of numbers, appreciate the effect of…

Continuing the series of articles on teaching mathematics with technology, this article furthers the authors' exploration of the use of a range of mobile technologies to enhance teachers' practices in the primary mathematics classroom. In Part 1 of this article, the authors explored the use of the iPod Touch and iPad. In Part 2, they explore…

Students find it hard to interpret mathematical problem texts. Mathematics is a unique language with its own symbols (grapho-phonics), vocabulary (lexicon), grammar (syntax), semantics and literature. As in any other language, to make meaning of the text, the student must learn: (1) signs and symbols (for example: [division], x, [not equal to]);…

This article outlines the author's efforts to build her knowledge of students' understandings of mathematics whilst catering for different abilities within a Year 1 classroom, using the freely available "Assessment for Common Misunderstandings tools." "The Assessment for Common Misunderstandings" materials have been "designed to assist teachers…

Reasoning is one of the proficiency strands of the new Australian Curriculum. It has always been important in mathematics and its importance has always been recognised in mathematics curricula across Australia. However, the new proficiency strand provides an opportunity for all teachers to reconsider how they teach this essential aspect of…

In an attempt to engage primary-school students in a hands-on, real-world problem-solving context, a large urban district, a mathematics and science institute housed in a college of education, and a corporate sponsor in the southwest United States, joined forces to create a mathematics and science trail for fourth- and fifth-grade students. A…

Autism is a neural development disorder which impairs one's ability to socialise, communicate, process sensory information, and those with autism experience restricted interests and repetitive behaviours. These signs all begin before three years of age and the child may have difficulty with organising their responses, with inhibition of repetitive…

In this article, the author explores the value of using simple robotics such as BeeBots and ProBots to enhance the teaching and learning of mathematics in the primary classroom. Before making the decision to use such technologies, it is important that they be evaluated in terms of their affordances and constraints. In other words, teachers need to…

Measurement is one of the key areas of study in mathematics and features prominently in the "Australian Curriculum: Mathematics" (ACARA, 2010). In this set of investigations requiring students to estimate indirectly the height of a tree they are encouraged to use the "power of mathematical reasoning" and "apply their mathematical understanding…

As part of a large research and professional development project funded by the Catholic Education Office Melbourne (CEOM), called "Contemporary Teaching and Learning of Mathematics," the ACU team has been leading demonstration lessons. There is certainly not universal agreement on the worth of demonstration lessons in the mathematics education…

Many students experience great difficulty understanding the meaning of fractions. For many students who have spent their early mathematics lessons focusing on counting (whole) numbers, recognising that there are many numbers between those whole numbers called fractional numbers, is quite revolutionary. The foundation of understanding fractions is…

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"…

New technologies continue to change every aspect of home, life and work: the way people communicate, calculate, analyse, shop, make presentations and socialise. "The Australian Curriculum" acknowledges the importance of teaching and learning with technology by including the use of information and communication technology (ICT) as one of the…

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…

SProblem solving has a long and successful history in mathematics education and is valued by many teachers as a way to engage and facilitate learning within their classrooms. The potential benefit for using problem solving in the development of algebraic thinking is that "it may broaden and develop students' mathematical thinking beyond the…