There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…

Empirical evidence supports the view that explicit teaching can make a positive difference to learning; however, further research is needed to understand the impact on learning to spell if spelling error analysis is used to inform explicit spelling instruction. This paper presents findings of an intervention study involving 572 students in Years 3…

Alderson teaches us that, "progress should be the aim of all learning". With the purpose of ensuring progress and enhancing first year students' learning of Italian as a second language, research into feedback and repair was undertaken at The University of Western Australia. The research--funded by the UWA Centre for the Advancement of…

This study explored the potential of a rich assessment task to reveal students' multiplicative thinking in respect to a hypothetical learning trajectory. Thirty pairs of students in grades 5 and 6 attempted the task. Twenty-two pairs applied multiplicative structure to find the number of items in arrays. However counting and computational errors…

The growing recognition of the plurality of English underlying the World Englishes (WE) paradigm has problematised the conventional second language acquisition (SLA) views of errors. If English use in emerging English-speaking contexts is to be judged by local norms, as argued by WE scholars, applying exocentric norms in these contexts can be…

In a recent study we (Greaney & Arrow, 2009) undertook an analysis of the types of spelling errors that students had made during a National Education Monitoring Project writing task (Crooks, Flockton & White, 2007). We discussed several issues related to spelling, including the value of analysing students' error-response patterns as a way…

That the quality of teachers' knowledge has direct impact on students' engagement and learning outcomes in mathematics is now well established. But questions about the nature of this knowledge and how to characterise that knowledge are important for mathematics educators. In the present study, we examine a strand of "Specialised Content…

The significance of errors in explicating Second Language Acquisition (SLA) processes led to the growth of error analysis in the 1970s which has since maintained its prominence in English as a second/foreign language (L2) research. However, one problem with this research is errors are often taken for granted, without problematising them and their…

This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…