As in many countries, for decades in Aotearoa (New Zealand), we have heard the story of the Pacific and Maori achievement gap in mathematics. This has become a widely accepted part of beliefs constructed across multiple communities about students and schools and who can do and learn mathematics successfully. A common response by policy makers and…

Children are active and creative mathematical learners in the early years. This article reports part of a Teacher-led Innovation Fund (TLIF) project that investigated children's mathematical activity at an early childhood centre and the first year of school. Teacher-researchers were from each site, and mathematical opportunities were identified in…

The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…

This article explores the curriculum integration of two learning areas: mathematics and music. We review the literature around effective integration and describe what integration might look like within a primary classroom. Integrating learning areas provide students with the opportunity to encounter key ideas/concepts in a variety of contexts.…

The inclusion of games in mathematics programmes is widely believed to foster the enjoyment of mathematics. The focus of this paper is on fluctuations in emotional climate during the playing of whole-class mathematics games. A multimethod approach drawing on the sociology of emotions was employed to explore changes in the classroom emotional…

Pasifika cultures have a rich background of mathematics including a strong emphasis on patterns used within craft design (Finau & Stillman, 1995). However, there have been limited studies which have investigated the use of contextual Pasifika patterns in mathematics classrooms. The aim of this study was to explore how contextual Pasifika…

A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…

This exploratory study examined how two teachers from two New Zealand primary schools introduced and taught the same mathematics lesson to their lowest ability group of year 2 and 3 students. Emphasis was given to analysing the positioning of the teacher and students and the developing storylines and social acts from that positioning. Different…

Managing mathematical discussion is known to be challenging for novice teachers. Coaching within student teacher rehearsals of teaching has been shown to develop mathematics teaching practice, but can be time consuming. To examine how coaching using questions could assist novice teachers to promote mathematical thinking and discussions within…

Rich learning tasks embedded within a familiar context allow students to work like mathematicians while making sense of the mathematics. This article demonstrates how 11-12 year-old students were able to employ all of the proficiency strands while demonstrating a deep understanding of some of the "big ideas" of probabilistic thinking.

The article investigates the role of attention in the reflective thinking of school mathematics teachers. It analyses teachers' ability to pay attention to detail and "use" their mathematical knowledge. The vast majority of teachers can be expected to have an excellent knowledge of mathematical techniques. The question examined here is…

The treatment of kurtosis in textbooks is both sparse and contradictory with applications rarely discussed. To address this, an easily understood definition of kurtosis is introduced and important applications are demonstrated. Two different approaches to teaching kurtosis are presented based on a financial application.

This article reports the findings of a study using tasks where a family orders and considers sharing the cost of a "Fish n Chips" meal. Purchasing take-away food is an example of an everyday situation where literacy and numeracy must be applied to make sense of tabulated price information. Originally developed for use in Australia, the…

Internationally, associations between mathematics achievement and various beliefs and attitudes related to learning are well established. In this article, the findings of five studies are examined to identify patterns in New Zealand students' mathematics-related beliefs and attitudes, and their relationships with achievement. Each study included…

Globalisation and policy transfer in education make it incumbent upon decision makers to prioritise among competing policy options, select policy initiatives that are appropriate for their national contexts, and understand how system-specific factors moderate the relationship between those policies and student outcomes. This study used qualitative…