Theories of learning mathematics

According to Karl Popper, widely regarded as one of the greatest philosophers of science in the 20th century, falsifiability is the primary characteristic that distinguishes scientific theories from ideologies ��� or dogma. For example, for people who argue that schools should treat creationism as a scientific theory, comparable to modern theories of evolution, advocates of creationism would need to become engaged in the generation of falsifiable hypothesis, and would need to abandon the practice of discouraging questioning and inquiry. Ironically, scientific theories themselves are accepted or rejected based on a principle that might be called survival of the fittest. So, for healthy theories on development to occur, four Darwinian functions should function: (a) variation ��� avoid orthodoxy and encourage divergent thinking, (b) selection ��� submit all assumptions and innovations to rigorous testing, (c) diffusion ��� encourage the shareability of new and/or viable ways of thinking, and (d) accumulation ��� encourage the reuseability of viable aspects of productive innovations.

Action research and unit improvement in higher education : a case study approach

Student satisfaction data has been collected on a national basis in Australia since 1972. In recent years this data has been used by federal government agencies to allocate funding, and by students in selecting their universities of choice. The purpose of this paper is to present the findings of an action research project designed to identify and implement unit improvement initiatives over a three year period for an underperforming unit. This research utilises student survey data and teacher reflections to identify areas of unit improvement, with a view to aligning learning experiences, teaching and assessment to learning outcomes and improved student satisfaction. This research concludes that whilst a voluntary student survey system may be imperfect, it nevertheless provides important data that can be utilised to the benefit of the unit, learning outcomes and student satisfaction ratings, as well as wider course related outcomes. Extrapolation of these findings is recommended to other underperforming units.

Calling for help : a responsive evaluation of Child Health Line

The project examined the responsiveness of the telenursing service provided by the Child Health Line (hereinafter referred to as CHL). It aimed to provide an account of population usage of the service, the call request types and the response of the service to the calls. In so doing, the project extends the current body of knowledge pertaining to the provision of parenting support through telenursing. Approximately 900 calls to the CHL were audio-recorded over the December 2005-2006 Christmas-New Year period. A protocol was developed to code characteristics of the call, the interactional features between the caller and nurse call-taker, and the extent to which there was (a) agreement on problem definition and the plan of action and (b) interactional alignment between nurse and caller. A quantitative analysis examined the frequencies of the main topics covered in calls to the CHL and any statistical associations between types of calls, length of calls and nurse-caller alignment. In addition, a detailed qualitative analysis was conducted on a subset of calls dealing with the nurse management of calls seeking medical advice and information. Key findings include: ��� Overall, 74% of the calls discussed parenting and child development issues, 48% discussed health/medical issues, and 16% were information-seeking calls. ��� More specifically: o 21% discussed health/medical and parenting and child development issues. o 3% discussed parenting and information-seeking issues. o 5% discussed health/medical, parenting/development and information issues. o 18% exclusively focussed on health and medical issues and therefore were outside the remit of the intended scope of the CHL. These calls caused interactional dilemmas for the nurse call-takers as they simultaneously dealt with parental expectations for help and the CHL guidelines indicating that offering medical advice was outside the remit of the service. ��� Most frequent reasons for calling were to discuss sleep, feeding, normative infant physical functions and parenting advice. ��� The average length of calls to the CHL was 7 minutes. ��� Longer calls were more likely to involve nurse call-takers giving advice on more than one topic, the caller displaying strong emotions, the caller not specifically providing the reason for the call, and the caller discussing parenting and developmental issues. ��� Shorter calls were characterised by the nurse suggesting that the child receive immediate medical attention, the nurse emphasising the importance or urgency of the plan of action, the caller referring to or requesting confirmation of a diagnosis, and caller and nurse call-taker discussion of health and medical issues. ��� The majority of calls, 92%, achieved parent-nurse alignment by the conclusion of the call. However, 8% did not. ��� The 8% of calls that were not aligned require further quantitative and qualitative investigation of the interactional features. The findings are pertinent in the current context where Child Health Line now resides within 13HEALTH. These findings indicate: 1. A high demand for parenting advice. 2. Nurse call-takers have a high level of competency in dealing with calls about parenting and normal child development, which is the remit of the CHL. 3. Nurse call-takers and callers achieve a high degree of alignment when both parties agree on a course of action. 4. There is scope for developing professional practice in calls that present difficulties in terms of call content, interactional behaviour and call closure. Recommendations of the project: 1. There are numerous opportunities for further research on interactional aspects of calls to the CHL, such as further investigations of the interactional features and the association of the features to alignment and nonalignment. The rich and detailed insights into the patterns of nurse-parent interactions were afforded by the audio-recording and analysis of calls to the CHL. 2. The regular recording of calls would serve as a way of increasing understanding of the type and nature of calls received, and provide a valuable training resource. Recording and analysing calls to CHL provides insight into the operation of the service, including evidence about the effectiveness of triaging calls. 3. Training in both recognising and dealing with problem calls may be beneficial. For example, calls where the caller showed strong emotion, appeared stressed, frustrated or troubled were less likely to be rated as aligned calls. In calls where the callers described being ���at their wits end���, or responded to each proposed suggestion with ���I���ve tried that���, the callers were fairly resistant to advice-giving. 4. Training could focus on strategies for managing calls relating to parenting support and advice, and parental well-being. The project found that these calls were more likely to be rated as being nonaligned. 5. With the implementation of 13HEALTH, future research could compare nurse-parent interaction following the implementation of triaging. Of the calls, 21% had both medical and parenting topics discussed and 5.3% discussed medical, parenting and information topics. Added to this, in 12% of calls, there was ambiguity between the caller and nurse call-taker as to whether the problem was medical or behavioural.

Successful outcomes in vocational education and training courses : how pedagogy and expectations influence achievement

This paper reports on a four year Australian Research Council funded Linkage Project titled Skilling Indigenous Queensland, conducted in regional areas of Queensland, Australia from 2009 to 2013. The project sought to investigate vocational education, training (VET) and teaching, Indigenous learners��� needs, employer cultural and expectations and community culture and expectations to identify best practice in numeracy teaching for Indigenous VET learners. Specifically it focused on ways to enhance the teaching and learning of courses and the associated mathematics in such courses to benefit learners and increase their future opportunities of employment. To date thirty-nine teachers/trainers/teacher aides and two hundred and thirty-one students consented to participate in the project. Nine VET courses were nominated to be the focus on the study. This paper focuses on questionnaire and interview responses from four trainers, two teacher aides and six students. In recent years a considerable amount of funding has been allocated to increasing Indigenous Peoples��� participation in education and employment. This increased funding is predicated on the assumption that it will make a difference and contribute to closing the education gap between Indigenous and non-Indigenous Australians (Council of Australia Governments, 2009). The central tenet is that access to education for Indigenous People will create substantial social and economic benefits for regional and remote Indigenous People. The project���s aim is to address some of the issues associated with the gap. To achieve the aims, the project adopted a mixed methods design aimed at benefitting research participants and included: participatory collaborative action research (Kemmis & McTaggart, 1988) and, community research (Smith, 1999). Participatory collaborative action research refers to a is a ���collective, self-reflective enquiry undertaken by participants in social situations in order to improve the rationality and justice of their own social and educational practices��� (Kemmis et al., 1988, p. 5). Community research is described as an approach that ���conveys a much more intimate, human and self-defined space��� (p. 127). Community research relies on and validates the community���s own definitions. As the project is informed by the social at a community level, it is described as ���community action research or emancipatory research��� (Smith, 1999, p. 127). It seeks to demonstrate benefit to the community, making positive differences in the lives of Indigenous People and communities. The data collection techniques included survey questionnaires, video recording of teaching and learning processes, teacher reflective video analysis of teaching, observations, semi-structured interviews and student numeracy testing. As a result of these processes, the findings indicate that VET course teachers work hard to adopt contextualising strategies to their teaching, however this process is not always straight forward because of the perceptions of how mathematics has been taught and learned historically. Further teachers, trainers and students have high expectations of one another with the view to successful outcomes from the courses.

Preparing citizens for a complex world : the grand challenge of teaching socio-scientific issues in science education

The dawn of the twenty-first century encouraged a number of scientific and technological organisations to identify what they saw as ���Grand Challenges and Opportunities���. Issues of environment and health featured very prominently in these quite short lists, as can be seen from a sample of these challenges in Table 1. Indeed, the first two lists of challenges in Table 1 were identified as for the environment and for health, respectively.

Retention and graduation of Aboriginal and Torres Strait Islander students in initial teacher education : a review of the literature

While the need to increase numbers of Indigenous teachers has been highlighted for many years, Aboriginal and Torres Strait Islander teachers are still significantly underrepresented in Australia making up less that 1% of teachers in schools. Nationally, little has changed since the 1980s when Hughes and Wilmot (1992) called for ���1000 Indigenous teachers by 1990���. This paper reports on an initial literature review of teacher education as related to the preparation of Aboriginal and Torres Strait Islanders. Alongside the scholarly literature, the review to date includes analysis of over twenty policy documents and government reports as well as web-based descriptions of historical and current models of Indigenous teacher education including both mainstream Education programs and cohort-based and community models. While the literature provides examples of successful models of Indigenous teacher education it also illuminates the longstanding and interrelated factors that continue to impact on the success or failure of teacher education for Aboriginal and Torres Strait Islanders

Identifying discourses of moderation in higher education

Moderation of student assessment is a critical component of teaching and learning in contemporary universities. Yet, despite this, it tends to be marked by idiosyncratic and sporadic processes informed by liminal understanding. This paper, in the light of forthcoming radical national requirements for the declaration of moderation processes in tertiary curricula in Australia, will present four discourses of moderation we identified in a recent study in a Faculty of Education in a large metropolitan university. The discourses are equity, justification, community building and accountability. Together, they will act as a starting point for academics to review their beliefs and attitudes towards the moderation of student assessment.

A new civics curriculum for Australian schools : is it national education?

In nation states and regions including Australia, Hong Kong, other countries of Asia, the European Economic Community and elsewhere, Civics and Citizenship education (CCE) is a contested concept. The development of The Australian Curriculum is providing a national opportunity for educators to rethink curriculum priorities and to decide on new emphases for learning in Australian schools, but policy documents have emphasized the importance of CCE for all young Australians. In this paper we discuss the notion of citizenship education as ���national education��� in Australia. We suggest that while the development of CCE in Australia does include elements of ���national education���, the new curriculum provides an opportunity to frame the civil, political and social components of CC for young Australians in ways that include local, national and global understandings. We argue that CCE should broaden young peoples��� world views and their passion and capacity to express their own identity, so they can be active and engaged citizens in diverse communities that include their own communities, the nation and beyond.

The challenge of generic competences to science education

Since 2000 there has been pressure on education systems for develop in students a number of competences that are described as generic. This pressure stems from studies of the changing nature of work in the Knowledge Society that is now so dominant. The DeSeCo project identified a number of these competences, and listed them under the headings of communicative, analytical and personal. They include thinking, creativity, communication skills, knowing how to learn, working in teams, adapting to change, and problem solving. These competences pose a substantial challenge to the manner in which education as a whole, and science education in particular, has hitherto been generally conceived. It is now common to find their importance acknowledged in new formulation of the curriculum. The paper reviews a number of these curriculum documents and how they have tried to relate these competences to the teaching and learning of Science, a subject with its own very specific content for learning. It will be suggested that the challenge provides an opportunity for a reconstruction of the teaching and learning of science in schools that will increase its effectiveness for more students.

Alternatives to the World Bank���s strategies for education and development

Over the past several decades, policy has become increasingly global. In economics, for example, policy has followed the so-called Washington Consensus of privatization, liberalization, and deregulation. In education, global policy has included the proliferation of strategies including standardized testing, paraprofessional teachers, user fees, and privatization. There are many problems with these neoliberal policies. Foremost among them, is the havoc they wreak on the lives of so many children and adults. Poverty, inequality, and myriad associated problems have reached new heights in this neoliberal era. Moreover, these policies have been adopted uncritically and alternative policies have been ignored, which leads to our focus here.

Skill development and social inclusion via peer assisted learning in first-year higher education : an evaluation of student experiences across two law units

Because professions seek graduates who can 'collaborate, share skills and knowledge, and communicate' (Kruck and Reif, 2001, p 37), it is important that university graduates are not equipped solely with the content knowledge of their discipline, but also with prospective employment skills. Furthermore, when students 'interact more in positive ways with their teachers and peers, they gain more in terms of essential skills and competencies, such as critical thinking, problem~solving [and] effective communication' (NSSE, 2000, p 2)./n this way, peer assisted fellowing has the potential to enhance students' professional development, and provide the social inclusion and engagement necessary for effective learning. This session describes two peer assisted learning models embedded within first year QUT Faculty of Law units. Through a partnership between teaching staff, student mentors and mentees, the models aim to facilitate student socialisation whilst supplementing understanding of substantive law with the development of academic and work��related skills. Mentor and mentee perceptions, and program implications, are considered.

Planar difference functions

In 1980 Alltop produced a family of cubic phase sequences that nearly meet the Welch bound for maximum non-peak correlation magnitude. This family of sequences were shown by Wooters and Fields to be useful for quantum state tomography. Alltop���s construction used a function that is not planar, but whose difference function is planar. In this paper we show that Alltop type functions cannot exist in fields of characteristic 3 and that for a known class of planar functions, x^3 is the only Alltop type function.