Informal Australian discussion suggests that calculators are still widely regarded as devices for calculation, consistent with their naming, and are rarely recognised as potentially helpful to support students learning mathematics. In this paper, Barry Kissane explores some of the ways in which modern calculators might support students learning…

The algorithm for fraction multiplication is relatively easy to memorize and implement with accuracy. The simplicity of the algorithm masks the conceptual complexity involved in making sense of what fraction multiplication means in quantitative situations. One important interpretation of fraction multiplication involves fraction composition,…

The authors share the results of a research project involving the use of mathematics to develop students' Numeracy General Capabilities. The current article delves into an example of a teacher supporting 'good habits of mind' through focussing on the Critical Learning Disposition of accuracy.

This study aimed to reveal the solutions of pre-service teachers to contextual problems related to number bases other than the base ten. Furthermore, it was intended to investigate which issues pre-service teachers discussed about their learning in the problem-solving process, including context, and about student learning in their future teaching…

Design Research (DR) has been used to develop means of supporting mathematical learning for typically-developing students. This study investigated the use of DR to develop context specific tools to support adults with intellectual disabilities (ID) to improve their numeracy capabilities and engagement in daily tasks. Using observation and…

There is a considerable body of research on children's number knowledge development, and in particular on children ages 4 years and older and who have some counting experience. Children in early care preschool settings (ages 2 and 3) and who are not yet experienced counters are an understudied population. We conducted a multiple-case study on five…

In this paper we present statistical analyses of three textbooks used by Swedish teachers to support year one children's learning of mathematics. One, Eldorado, is authored by Swedish teachers, another, Favorit, is a Swedish adaptation of a popular Finnish series and the third, Singma, is a Swedish adaptation of a Singapore series. Data were coded…

Baroody, Lai & Mix [2006. The development of young childrens number and operation sense and its implications for early childhood education. In B. Spodek, & O. N. Saracho (Eds.), "Handbook of research on the education of young children" (2nd Ed., pp. 187-221). NJ: Lawrence Erlbaum.] differentiate between four different learning…

Traditionally, various meanings of "10" are systematically ignored in early childhood curriculum and children's understanding of numbers is restricted within the solitary mapping between the symbol "10" and quantity concept of "ten." This may be problematic for other ways that mathematics is used, both in modern life…

Children have mathematical understanding beginning from the early years of life. Mathematics education during these years has a significant effect on children's future lives. Play is a significant issue in children's lives and can be used as a way for teaching and learning. It presents a rich learning environment. In this study, therefore, we…

Measuring learning outcomes on core skills is key to building evidence on which teaching and learning interventions are most effective, and ultimately informing policy that prioritises these skills, amongst early learners. However, developing national or systems-level assessments pose considerable challenges, including implementing an effective…

The paper explores the relationship between the regulatory requirements to be registered to teach and the provisions to meet these requirements in the initial teacher education programs in Australia. This is part of a broader study of the regulatory requirements for music and art teachers in primary and secondary schools in Australia, and only the…

Internal and external assessment instruments, such as the Vanuatu Standard Test of Achievements (VANSTA) and the Pacific Island Literacy and Numeracy Assessment (PILNA), reveal that mathematics achievements in the Republic of Vanuatu remain below the minimum standard. This study drew on the constructivist grounded theory approach to explore…

This paper focuses on a group of mothers of immigrant origin as they engage in explorations and conversations about mathematics. We examine how bringing in tasks that draw on their children's school mathematics, and on the participants' knowledge and experiences, can inform us about their understanding of mathematics and provide opportunities to…

Leading school mathematics is a complex task and the responsibilities and activities involved are not always clearly defined. School mathematics leaders (SML) in Australian schools are often expected to lead improvement in mathematics teaching and learning. Previous research typically focuses on the qualities of effective leaders rather than the…