In this paper we compare the early years mathematics curricula of Germany, South Africa, and Australia in relation to the place value concept. Place value is an important topic as it underpins much of the number work completed by learners in the early years of schooling. We found that there were differences between the three curricula that could…

In February 2020, the Ministry of Education asked the New Zealand Council for Educational Research (NZCER) to examine the curriculum-levelling construct that sits at the heart of The New Zealand Curriculum (Ministry of Education, 2007). A key goal of the research was to investigate, whether-- and if so, how--the construct helps (or hinders)…

The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.

It is widely acknowledged that communicating mathematical thinking is complex, difficult, and often messy. In this article, the authors explore how mathematical thinking is communicated, providing examples of strategies for teachers and students to use in the mathematics classroom.

Effective mathematics teaching for Indigenous language speaking students needs to be based on fair expectations of both students and teachers. Concepts of "age-appropriate learning" and "school readiness" structure assessment expectations that entire cohorts of Indigenous language speaking students are unable to meet. This…

Mathematical reasoning is now featured in the mathematics curriculum documents of many nations, but this necessitates changes to teaching practice and hence a need for professional learning. The development of children's mathematical reasoning requires appropriate encouragement and feedback from their teacher who can only do this if they recognise…

The Gender and Sexuality in Mathematics Education Working Group convened in 2018 with a focus on (1) language use, multidimensional understandings of gender and sexuality, and influences of these on methods, results, and interpretations; (2) interactions between gender/sexuality and students' self-perceptions; and (3) the roles of curriculum,…

In this paper, an example is offered of a problem-solving task for senior secondary school students which was given in the context of a story. As the story unfolds, the task requires progressively more complex forms of linear programming to be applied. Coding in MATLAB is used throughout the task in such a way that it supports the increasing…

National professional standards for teachers in Australia (AITSL, 2011) expect teacher education graduates to demonstrate technological, pedagogical and content knowledge (TPACK). Those standards have emerged concurrently with the development of a new Australian mathematics curriculum. Thus, the expectation is that graduates can demonstrate the…

This paper is concerned with the issues surrounding the mathematical education of traditionally oriented Aboriginal children. A wide-ranging review of the relevant literature is presented and discussed with a view to developing more effective educational procedures. The discussion is intended to be relevant to other culture-conflict educational…

Recounts some of the past attempts at determining a national Australian policy for the use of computer technology in mathematics education. Lists 25 issues facing Australian mathematics education, along with the objectives of a UNESCO Regional Seminar held in the summer of 1987 relating to this topic. (TW)

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…