Two envelope problems and the roles of ignorance

Four variations on Two Envelope Paradox are stated and compared. The variations are employed to provide a diagnosis and an explanation of what has gone awry in the paradoxical modeling of the decision problem that the paradox poses. The canonical formulation of the paradox underdescribes the ways in which one envelope can have twice the amount that is in the other. Some ways one envelope can have twice the amount that is in the other make it rational to prefer the envelope that was originally rejected. Some do not, and it is a mistake to treat them alike. The nature of the mistake is diagnosed by the different roles that rigid designators and definite descriptions play in unproblematic and in untoward formulations of decision tables that are employed in setting out the decision problem that gives rise to the paradox. The decision maker’s knowledge or ignorance of how one envelope came to have twice the amount that is in the other determines which of the different ways of modeling his decision problem is correct. Under this diagnosis, the paradoxical modeling of the Two Envelope problem is incoherent.

Bad but bold: Ambivalent attitudes toward men predict gender inequality in 16 nations

A 16-nation study involving 8,360 participants revealed that hostile and benevolent attitudes toward men, assessed by the Ambivalence Toward Men Inventory (P. Glick & S. T. Fiske, 1999), were (a) reliably measured across cultures, (b) positively correlated (for men and women, within samples and across nations) with each other and with hostile and benevolent sexism toward women (Ambivalent Sexism Inventory, P. Glick & S. T. Fiske, 1996), and (c) negatively correlated with gender equality in cross-national comparisons. Stereotype measures indicated that men were viewed as having less positively valenced but more powerful traits than women. The authors argue that hostile as well as benevolent attitudes toward men reflect and support gender inequality by characterizing men as being designed for dominance.

Interrogating single-sex classes as a strategy for addressing boys' educational and social needs

This paper explores the policy of single-sex classes that is currently being adopted in some schools as a strategy for addressing boys' educational and social needs. It draws on research in one Australian government, coeducational primary school to examine teachers' and students' experiences of this strategy. Interviews with the principal, male and female teachers responsible for teaching the single-sex classes and the students involved in these classes are used to illustrate the impact and effect of the strategy on pedagogical practices in this particular school. The data are used to raise critical questions about the impact and effects of teachers' pedagogical practices in light of the current literature and research about single-sex classes. In this case study, it was found that teachers had a tendency to modify their pedagogical practices and the curriculum to suit stereotypical constructions about boys' and girls' supposed oppositional orientations to learning. It is concluded that teacher knowledges and assumptions about gender play an important role in the execution of their pedagogies in the single-sex classroom.

Ten Australian elementary teachers' discourse and reported pedagogical practices during cooperative learning

This article describes the types of discourse 10 Australian grade 4-6 teachers used after they had been trained to embed cooperative learning in their curriculum and to use communication skills to promote students' thinking and to scaffold their learning. One audiotaped classroom social science lesson involving cooperative learning was analyzed for each teacher. We provide vignettes from 2 teachers as they worked with groups and from 2 student groups. The data from the audiotapes showed that the teachers used a range of mediated-learning behaviors in their interactions with the children that included challenging their perspectives, asking more cognitive and metacognitive questions, and scaffolding their learning. In turn, in their interactions with each other, the children modelled many of the types of discourse they heard their teachers use. Follow-up interviews with the teachers revealed that they believed it was important to set expectations for children's group behaviors, teach the social skills students needed to deal with disagreement in groups, and establish group structures so children understood what was required both from each other and the task. The teachers reported that mixed ability and gender groups worked best and that groups should be no larger than 5 students. All teachers' programs were based on a child-centered philosophy that recognized the importance of constructivist approaches to learning and the key role interaction plays in promoting social reasoning and learning.

Pedagogies and critical reflection: key understandings for transformative gender justice

It is widely acknowledged that quality pedagogy is central to improving the educational outcomes of all students. In improving the social and academic outcomes of boys, and more specifically disengaged boys, the productive pedagogies model has been presented as a way forward. In terms of drawing on this model in socially just ways; to facilitate a broadening, rather than reinscribing of boys' narrow constructions of gender identity, this paper illustrates the imperative of teachers interacting with key feminist understandings of masculinity. Organized around the four dimensions of productive pedagogy, the paper draws on ( predominantly Australian-based) seminal work in the sphere of masculinities and schooling to discuss key strategies and initiatives for improving boys' educational outcomes. Against this backdrop, the paper demonstrates the importance of two principle understandings. The first relates to teachers understanding masculinity through feminist lenses, as constructed, regulated and maintained through inequitable social processes and the second relates to teachers understanding pedagogy as critical and transformative practice. These understandings are presented as vital to enabling gender justice.

Developing interdisciplinary research graduates: educational opportunities and dilemmas

Attempting to solve the complex problems of the 21st century requires research graduates that have developed a sophisticated array of interdisciplinary teamwork and communication skills. Although universities, governments, industry and the professions have emphasised the need to break down disciplinary silos in order to produce graduates, who can respond more effectively to the needs of the knowledge economy, much of this work has centred on undergraduate programs. While there are some research higher degree students who choose to work on interdisciplinary research topics, very little has been done to develop interdisciplinary research education systematically. This paper explores the educational opportunities and dilemmas involved in developing systematic programs of interdisciplinary research activities in two research centres at the University of Queensland. Framed by Bruhn's (2000, p. 58) theoretical discourse about interdisciplinary research as 'a philosophy, an art form, an artifact, and an antidote', this paper emphasises the need for such programs to embed the development of students' interdisciplinary research skills and attitudes within their research projects. The two diverse programs also emphasise experiential, active and interactive learning techniques and are centred upon the development of students' reflective practice skills.

Adult language input in the early childhood educational setting

Age-related changes in the adult language addressed to children aged 2;0-4;0 years in polyadic conditions were investigated in Australian childcare centres. The language that 21 staff members addressed to these children was coded for multiple variables in the broad social categories of prosody, context, speech act and gesture. The linguistic components were coded within the categories of phonology, lexicon, morphology, syntax and referential deixis. Minimal age-related differences were found. Explanations for the similarity of the adult language input across the age groups within the early childhood educational environment, will be discussed

Distortion product otoacoustic emissions in schoolchildren: Effects of ear asymmetry, handedness and gender

The present study examined effects of ear asymmetry, handedness, and gender on distortion-product otoacoustic emissions (DPOAEs) obtained from schoolchildren. A total of 1003 children (528 boys and 475 girls), with a mean age of 6.2 years (SD = 0.4, range = 5.2-7.9 years), were tested in a quiet room at their schools using the GSI-60 DPOAE system. A distortion-product (DP)-gram was obtained for each ear, with f2 varying from 1.1 to 6.0 kHz and the ratio of f2/f1 at 1.21. The signal-to-noise ratios (SNRs) (DPOAE amplitude minus the mean noise floor) at the tested frequencies 1.1, 1.5, 1.9, 2.4, 3.0, 3.8, 4.8, and 6.0 kHz were measured. The results revealed a small but significant difference in SNR between ears, with right ears showing a higher mean SNR than left ears at 1.9, 3.0, 3.8, and 6.0 kHz. At these frequencies, the difference in mean SNR between ears was less than 1 dB. A significant gender effect was also found. Girls exhibited a higher SNR than boys at 3.8, 4.8, and 6.0 kHz. The difference in mean SNR, as a result of the gender effect, was about 1 to 2 dB at these frequencies. There was no significant difference in mean SNR between left-handed and right-handed children for all tested frequencies.