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…

A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…

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…

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…

The recent introduction of a personal literacy and numeracy test (LANTITE) has been part of tighter accreditation of Initial Teacher Education programs across Australia. This article focuses on pre-service teachers' experiences, beliefs and feelings about the new high-stakes testing regime. The data are drawn from a six-month project intended to…

Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to…

This supporting document sets out the content analysis technique and detailed findings that underly part of the research conducted for the report titled "VET for secondary school students: acquiring an array of technical and non-technical skills." That report is the first in a set of studies that aims to understand the value of…

Although invested study time is expected to relate to exam performance, research findings have been mixed. Therefore, the current study examined (a) the role of self-study time above and beyond relevant student characteristics, affective-motivational processes (i.e. academic self-efficacy, learning goal orientation, and action-state orientation)…

In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…