Margaret Marshman

This study provides an overview of the support provided for academic numeracy for first-year students across six Australian regional universities. Survey analysis of university academics provided an overview of the approaches used in academic numeracy in diverse cohorts. Further investigations via semi-structured interviews and secondary data were performed, providing details of the level of academic numeracy required in the subjects offered, identification of at-risk students and strategies for student support, and student responses to service provision. A case study at one university provided a more detailed view of the factors influencing attrition in first-year academic numeracy subjects. This case study highlighted issues related to a one-size-fits-all approach and findings argue for a more nuanced cohort-based approach that combines conventional statistical analysis with analysis that provides a more detailed view of complex scenarios. The study suggests that while support services are not responding well to the issue of attrition, better targeting individual student support may lead to improvements.

Mathematics teachers are often keen to find ways of connecting mathematics with the real world. One way to do so is to teach mathematical modelling using real data. Mathematical models have two components: a model structure and parameters within that structure. Real data can be used in one of two ways for each component: (a) to validate what theory or context suggests or (b) to estimate from the data. It is crucial to understand the following: the implications of using data in these different ways, the differences between them, the implications for teaching and how this can influence students' perceptions of the real-world relevance of mathematics. Inappropriately validating or estimating with data may unintentionally promote poor practice and (paradoxically) reinforce in students the incorrect idea that mathematics has no relevance to the real world. We recommend that teachers approach mathematical modelling through mathematizing the context. We suggest a framework to support teachers' choice of modelling activities and demonstrate these using examples.

The role of Wikipedia for learning has been debated because it does not conform to the usual standards. Despite this, people use it, due to the ubiquity of Wikipedia entries in the outcomes from popular search engines. It is important for academic disciplines, including statistics, to ensure they are correctly represented in a medium where anyone can assume the role of discipline expert. In this context, we first develop a tool for evaluating Wikipedia articles for topics with a procedural component. Then, using this tool, five Wikipedia articles on basic statistical concepts are critiqued from the point of view of a self-learner: "arithmetic mean", "standard deviation", "standard error", "confidence interval" and "histogram". We find that the articles, in general, are poor, and some articles contain inaccuracies. We propose that Wikipedia be actively discouraged for self-learning (using, for example, a classroom activity) except to give a brief overview; that in more formal learning environments, teachers be explicit about not using Wikipedia as a learning resource for course content; and, because Wikipedia is used regardless of considered advice or the organizational protocols in place, teachers move away from minimal contact with Wikipedia towards more constructive engagement.

A focus on quality assurance of assessment processes in tertiary education within Australia and throughout the world has resulted in a changing landscape of assessment types and grading schemes over the last decade. The use of criteria and standards-based assessment systems are now very commonplace in tertiary education. There are a variety of models now used, but typically they include a criteria sheet and a levelled rubric. An alternative to the traditional matrix-style rubric is the Continua Model of a Guide to Making Judgments (GTMJ). In this paper, we analyse available assessment models and their capacity to guide the marking, grading and moderation of student assessment tasks. We specifically address standards descriptors used to identify the quality expected at each standard. The research was undertaken through a community of practice within the School of Education at a tertiary institution where the collective goal of enhancing assessment grading tools to improve student outcomes was approached through a process of peer review. In our results section, we analyse the efficacy of an internal peer-review model as part of a community of practice and the professional learning about grading tools that occurs.