The mathematical construct of dimension is one of the fundamental ideas for developing a sound understanding of two-dimensional (2D) and three-dimensional (3D) shapes. Yet, research in mathematics education has rarely explored children's understanding of dimension in primary education. This paper explores how year 5/6 (9 to 11 years old) children…

A critical part of supporting the development of students' algorithmic thinking is understanding the challenges that emerge when students engage with algorithmatizing tasks--tasks that require the creation of an algorithm. Knowledge of these challenges can serve as a basis upon which educators can build effective strategies for enhancing students'…

In 2020, two teachers and seven students participated in an action research project that sought to improve the teaching and learning of fractions in a New Zealand primary school. This research revealed that the collaborative creation of hypothetical learning trajectories was beneficial to the teachers' practice, content knowledge, and confidence,…

Building a technology-driven world appears to be the main motivational force behind students choosing to undertake engineering studies. The first year of engineering education plays a significant role in demonstrating sufficient mathematical and scientific rigor to satisfy these motivational factors. The common applied mechanics courses play a…

Opportunities for five students to access higher mathematics and critical thinking is often restricted until they have developed sufficient knowledge. This case study focuses on two reception class teachers and their teacher actions used to develop mathematical reasoning with their students. The findings illustrate the impact these teachers have…

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 this paper, we explore student solutions to a free response mathematical assessment task which had opportunities for students to notice structural properties in the context of number systems. In total, 308 students aged between 10 years to 13 years participated in the study. Their responses were analysed to determine whether they noticed…

Fluent recall of basic facts is essential to the development of more complex math skills. Therefore, failure to develop fluency with basic facts may impede the development of these skills. The present study used a between-group experimental design to investigate whether a basic facts fluency program, implemented within a self-regulated learner…

Key to developing equitable mathematics classrooms is educators making explicit connections to and building on the cultural, social, and linguistic contexts of diverse learners. The project "Weaving our knowledge together" focused on recognising and recording the mathematical funds of knowledge of young Pacific students, sharing this…

This paper investigates the phenomena of overclaiming -- the propensity for individuals to claim more knowledge about an issue or topic than they really (or could possibly) do. Using Programme for International Student Assessment (PISA) data from nine Anglophone countries and over 40,000 young people, we examine teenagers' propensity to claim…

Three mathematics education researchers discuss their findings on the use of diagrams in math instruction for English language learners. The authors show how diagrams can help students who are English learners better develop mathematical thinking and communicate their mathematical understanding.

Mathematical and statistical thinking is involved across the breadth of people's home and work life and leisure activities. This paper reports on an aspect of a project that aimed to develop preservice teacher awareness of the mathematical and statistical thinking required across the breadth of primary teachers' professional role. This thinking is…

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

Learning in maths is complex because it is a process that involves cognition and the affective domain. Indeed, learners experience many emotions during maths, both positive and negative, which influences their learning. In addition, the learner can believe that one's capacity to do maths is static and cannot be changed. All these aspects are…

In this paper, I report on doctoral research in which I investigated the relationships between student approaches to learning, conceptions of mathematics, mathematical self-efficacy, personal factors and examination results. Using seventy-three post-secondary mathematics students, some pertinent findings were: self-belief in selection processes…