Middle Grade Teachers’ Learning through Students’ Engagement with Modeling Tasks*

We report on how two middle-grade teachers supported their students’ mathematical reasoning within the context of a novel modeling task in data analysis. We examine how the task features supported the development of teachers’ knowledge as their students engaged with the task. Analyses of the teachers’ practices suggest that the task features enabled teachers: (a) to develop new understandings of the mathematical content and the ways in which student ideas develop and are represented; (b) to adopt new roles in their interactions with the students, including a focus on listening and observing, and on asking questions for understanding and clarification; and (c) to engage in forms of interpretative listening that shifted the role of evaluation from the teacher to the student. This material is based upon work supported by the National Science Foundation (NSF) under Grant No. 9722235 and by the Australian Research Council (ARC).     

Beyond Average: Contemporary statistical techniques for analysing student evaluations of teaching

Student evaluations of teaching (SETs) have been used to evaluate higher education teaching performance for decades. Reporting SET results often involves the extraction of an average for some set of course metrics, which facilitates the comparison of teaching teams across different organisational units. Here, we draw attention to ongoing problems with the naive application of this approach. Firstly, a specific average value may arise from data that demonstrates very different patterns of student satisfaction. Furthermore, the use of distance measures (e.g. an average) for ordinal data can be contested, and finally, issues of multiplicity increasingly plague approaches using hypothesis testing. It is time to advance the methodology of the field. We demonstrate how multinomial distributions and hierarchical Bayesian methods can be used to contextualise the SET scores of a course to different organisational units and student cohorts, and then show how this approach can be used to extract sensible information about how a distribution is changing.     

Charismatic cops,patriarchs and a few good women: leadership,club culture and young peoples' drinking

The paper reports on key findings of a research project that examined the roles that community-based sporting clubs in the Australian state of Victoria play in shaping young people's understandings and uses of alcohol. Our research imagined clubs as community hubs that are located in complex networks that impact on the ways that clubs understand their locations in communities, and which have unpredictable influences and consequences on club histories, culture and orientations to issues such as young people and alcohol use. The paper focuses on understanding the key roles played by club leaders in facilitating change and transformation in these contexts, particularly in terms of alcohol-related practices and the potential impact of these on young people's uses and understanding of alcohol. We situate these findings in a framework that draws on the literature of complexity science and complex adaptive systems (CAS) to suggest that these practices and changes need to be understood in ways that allow for complexity, uncertainty, emergent behaviours and adaptive change.     

The Development of Fifth-Grade Children's Problem-Posing Abilities

This one-year study involved designing and implementing a problem-posing program for fifth-grade children. A framework developed for the study encompassed three main components: (a) children's recognition and utilisation of problem structures, (b) their perceptions of, and preferences for, different problem types, and (c) their development of diverse mathematical thinking. One of the aims of the study was to investigate the extent to which children's number sense and novel problem-solving skills govern their problem-posing abilities in routine and nonroutine situations. To this end, children who displayed different patterns of achievement in these two domains were selected to participate in the 10-week activity program. Problem-posing interviews with each child were conducted prior to, and after the program, with the progress of individual children tracked during the course of the program. Overall, the children who participated in the program appeared to show substantial developments in each of the program components, in contrast to those who did not participate.     

Young children's combinatoric strategies

Children aged between 4 years 6 months and 9 years 10 months were individually administered a series of novel tasks involving the formation of different combinations of two items, selected from discrete sets of items. An analysis of the children's performance revealed a series of six, increasingly sophisticated, solution strategies ranging from a random selection of items through to a systematic pattern in item choice (cf. Piaget and Inhelder's, 1975, combinatoric operations). A significant number of children independently adopted more efficient solution procedures as they progressed on the tasks, with many displaying an algorithmic procedure reflecting the odometer strategy (holding one item constant while systematically varying each of the other items). Given that children as young as 7 years demonstrated this systematic strategy, it would appear that, within the appropriate learning environment, young children can discover a procedure for forming n x n combinations prior to the stage of formal operations postulated by Piaget and Inhelder. The findings support the inclusion of the combinatorial domain as a topic of investigation in the elementary school curriculum.     

Negotiating Sexuality Education with Young People: Ethical Pitfalls and Provocations

This paper focuses on a nested project within a three-year participatory research project, funded by the Australian Research Council. The project was undertaken in secondary schools across Victoria and South Australia and engaged over 100 students as coresearchers (ages 15–19) in understanding, critiquing, and transforming sexuality education (SE). Data was produced through visual arts and participatory methods and supported by ethnographic techniques (participant observations, focus groups, and guided conversations). In this paper we attempt to expose some of the ethical, methodological and pedagogical processes required when foregrounding young people’s voices in SE. More specifically, to problematize the microethical moments that warrant not only the attention but response of educators and researchers who are open to transforming SE with young people.     

Efficiency in Minitab

This simple Minitab simulation exercise illustrates the concept of efficiency of estimators. Students compare the sampling distributions of the sample mean, median and mid-range from a normal distribution and from a uniform distribution. The striking differences observed give rise to much discussion.     

Measuring Self-Regulated Learning Processes through Tracking Patterns of Student Interaction with Achievement Activities

A micro-level approach to the study of relationships between component processes within self-regulated learning in young adolescent students is described. Using this approach, contingencies between self-regulatory processes can be identified and insight into factors that promote students’ use of self-regulatory strategies can be investigated. Evidence is presented showing how the influence of mastery achievement goals on specific task goals can be mediated by students’ state of interest. Further development of this approach requires consideration of the measurement issues associated with using single items to measure on-task states. Evidence for the reliability and validity of single-item measurement of states is considered in relation to areas of psychological inquiry that regularly use single-item measures and we conclude that further development of these types of measure has the potential to expand our understanding of self-regulated learning.     

Defining maltreatment according to substantiation: distinction without a difference?

OBJECTIVE: To examine whether children with substantiated maltreatment reports between 4 and 8 years of age differ from children with unsubstantiated reports on any of 10 behavioral and developmental outcomes. METHOD: Longitudinal data from 806 children and their adult caregivers collected in four US study sites were pooled and analyzed using Analysis of Variance (ANOVA) and multivariate linear regression. RESULTS: There were no significant differences between the mean scores of children with unsubstantiated and substantiated maltreatment reports filed between 4 and 8 years of age for any of the 10 behavioral and developmental outcomes. In the multivariate analysis, substantiation status was not significantly associated with any of the 10 outcomes after adjusting for prior functioning, prior maltreatment status, and sociodemographic characteristics. Findings from within-site analyses were generally consistent with the pooled analyses in finding no association between substantiation status and the outcomes examined. CONCLUSIONS: In this high-risk sample, the behavioral and developmental outcomes of 8-year-old children with unsubstantiated and substantiated maltreatment reports filed between ages 4 and 8 were indistinguishable. Future research should attempt to replicate these findings on probability samples that represent the full range of childhood maltreatment risk and with models that control for the impact of social services.     

Does higher education promote independent learning?

There is general consensus in the literature that the goal of education is to increase the students' capacity to learn, to provide them with analytic skills and to increase their ability to deal with new information and draw independent conclusions. The purpose of this paper is to discuss the extent to which higher education does promote these abilities which can be summarised as independent learning. Quantitative data from the Study Process Questionnaire (SPQ) and qualitative data (semi-structured student interviews) from a tertiary institution in Hong Kong are compared with similar findings from institutions in other parts of the world. The relationship between demographic variables and the SPQ sub-scales appears to follow a pattern consistent with results from elsewhere. As students become older they are less likely to adopt a surface approach and more likely to adopt a deep one. However, there is a decrease in the use of a deep approach from first to third year of a course, suggesting that education at this tertiary institution does not promote independent learning. Possible explanations are derived from the literature and the student interviews. Implications for the structure of tertiary education in Hong Kong are discussed.