Assessment is a central feature of teaching and learning. It is both complex and challenging in ordinary times, and these aspects are magnified in an online learning environment. Given its central role, it is crucial that its design and purpose is rigorous and robust. This paper presents justification for using interactive oral assessment as an…

Introduction: Divergent thinking is a crucial component of effective problem-solving. This study investigated the divergent thinking of students with visual impairments (i.e., blindness or low vision) in three countries and explored the correlates of their performance on two tasks. Methods: A sample of 52 students with visual impairments completed…

With technological advances, it is now possible to use games to capture information-rich behaviours that reveal processes by which players interact and solve problems. Recent problem-based games have been designed to assess and record detailed interactions between the problem solver and the game environment, and thereby capture salient solution…

We investigated human performance on the Euclidean Traveling Salesperson Problem (TSP) and Euclidean Minimum Spanning Tree Problem (MST-P) in regards to a factor that has previously received little attention within the literature: the spatial distributions of TSP and MST-P stimuli. First, we describe a method for quantifying the relative degree of…

This paper reports on a study that examines the effects of problem context on students' performance. The performance of 151 Year 10 students on six mathematical problems was compared with the performance on fifteen variants with more and less context familiarity (CF) and engagement (CE) across levels of context use (LCU). The latter explanatory…

Large-scale numeracy assessments are intended to facilitate the improvement of educational outcomes; however, it is not clear exactly how this is to be achieved. To move towards the goal of numeracy for all, it is necessary to systematically address issues that are known to be difficult, pervasive and persistent. This paper includes an analysis of…

The Traveling Salesperson Problem (TSP) is a computationally difficult combinatorial optimization problem. In spite of its relative difficulty, human solvers are able to generate close-to-optimal solutions in a close-to-linear time frame, and it has been suggested that this is due to the visual system's inherent sensitivity to certain geometric…

This study investigated how to improve the teaching of problem solving in a large Melbourne secondary school. Coaching was used to support and equip five teachers, some with limited experiences in teaching problem solving, with knowledge and strategies to build up students' problem solving and reasoning skills. The results showed increased…

Reflection, or consciously thinking about our experiences, is the key to powerful learning. Reflection allows us to analyse our experiences, make informed changes based on our mistakes, maintain successful practices, and build upon or modify our past understandings based on new and emerging knowledge. This paper describes the author's journey…

This paper reports how the context in which a mathematics item is embedded impacts on students' performance. The performance of Year 10 students on four PISA items was compared with performance on variants with more familiar contexts. Performance was not better when they solved items with more familiar contexts but there was some evidence that…

This paper reports the findings of research into an educational intervention featuring open-ended mathematical problems situated in "real life" contexts and associated pedagogies. "Money and financial mathematics" is the topic in focus, with tasks termed "financial dilemmas" being trialled by 35 teachers in 16…

There is growing worldwide interest in Japanese lesson study as a model for professional learning, with large-scale adaptations of lesson study taking place in many countries. This paper describes how teachers and researchers collaborated in a lesson study project carried out in three Victorian schools. It describes Japanese lesson study and the…

An experiment is reported comparing human performance on two kinds of visually presented traveling salesperson problems (TSPs), those reliant on Euclidean geometry and those reliant on city block geometry. Across multiple array sizes, human performance was near-optimal in both geometries, but was slightly better in the Euclidean format. Even so,…

The aim of this article is to encourage a greater emphasis on creativity across and between varied fields of endeavour. It has been written to underline the interdisciplinary significance of creativity and the role of creativity in truly enhancing achievement. There is a reinvigorated awareness of the need for "big thinking", a global…

The higher education sector in Australia is moving rapidly towards greater accountability in regard to graduate employability outcomes. Currently, data on new graduates' self reported generic skills and employment status provide the evidence base for universities to make judgements about the effectiveness of curricula in preparing students for…