In this paper, we report on the pedagogical actions of one teacher in eliciting and developing students' mathematical reasoning during one mathematics lesson. The findings illustrate that through the careful design and planning of a contextually relevant task (the construction of a manu tukutuku), and the implementation of specific teacher…

In undergraduate mathematics education, students' collaborations have gained a reputation as a 'good' learning practice. A more complex image emerges once collaborations are construed as an arena where cognitive, social, and affective matters intertwine in ways that can fuel and impede learning. In this study, I take a close look at a…

Mathematical learning is an integral part of early childhood education (ECE). In Aotearoa New Zealand there is a range of valuable curriculum resources including "Te Kakano," a "living, evolving" framework of purposeful activities, to assist teachers to notice and respond to mathematics learning. This article aims to contribute…

Understanding sustainability requires a system-wide perspective to guide the interpretation of problems and conceptualization of solutions. A lake sustainability Trust provided an opportunity for students to gain this perspective by examining societal, commercial, and environmental policy perspectives associated with a local endangered lake and…

The Feuerstein Instrumental Enrichment (FIE) program was implemented in a primary school in New Zealand for 10 years old students with average educational ability. Targeted goals were to examine if the FIE program helped students to be less impulsive, plan well, and better in solving problems. The program started with 17 students for the first two…

Problem solving is at the heart of mathematics, and is known to support learning for a diverse range of children. However, challenges can be encountered when teaching mathematics through problem solving. This article provides insights from research literature into: (1) the nature of the challenges; and (2) some ways that problem solving can be…

A flipped classroom approach consists of two distinct parts: direct on-line instruction in the students' own time and at their own pace, and interactive group learning and problem solving activities in scheduled classes. This approach has the potential to suit theoretical and practice-based courses such as technology education. This article…

Fractions are perceived as one of the most difficult areas in school mathematics to learn and teach. The most frequently mentioned factors contributing to the complexity are fractions having five interrelated constructs (part-whole, ratio, operator, quotient and measure) and teachers' pedagogical approaches to address these constructs. The present…

There is increasing recognition that the underachievement of Maori, Pasifika, and other diverse students in New Zealand schools is in large part owing to systemic factors that disadvantage these students. Responding to the urgent need for significant change in our schools and classrooms, the developing mathematical inquiry communities model is a…

This article reflects on a school's approach to gamifying the Royal Society Te Aparangi's First CREST Award. The article explains how CREST was reconceived as a quest using elements of live action role playing (LARP) and gamification, and the tools that were used to do this. It describes how progress was measured using a points system and the…

Specific acts of problem solving with rates and ratios were interpreted using a journey metaphor derived from Skemp's (1979) construct of director systems. To successfully undertake a problem solving journey a learner must recognise their starting place (present state), have a sense of destination (goal state), and co-ordinate sub-routes along the…

According to Autism New Zealand (n.d.) there are approximately 65,000 New Zealanders with an Autism Spectrum Disorder (ASD). Despite this prevalence, Goodall (2014) notes "…teachers are still on a long journey to full acceptance of students on the autism spectrum as learners with potential" (p. 133). This research review considers three…

New Zealand curriculum documents have long referred to mathematics as a problem-solving endeavour. Although this has been an intended focus for more than 25 years, problem-solving has often been an aspect of mathematics teaching that has been overlooked (Holton, 2009). This research explores the experiences of one teacher who is committed to…

As part of a project exploring the use of challenging mathematical tasks, data from New Zealand teachers and their students were analysed to explore teachers' actions that encouraged students to persist. Rather than rescuing the students when they needed help, the teachers' actions included arranging for and encouraging students to work…

This report follows up on the book "Leapfrogging Inequality: Remaking Education to Help Young People Thrive," published in 2018 by the Center for Universal Education (CUE) at the Brookings Institution. The book argued the importance of education leapfrogging--creating transformative shifts rather than incremental evolution by harnessing…