An Objectivist Critique of Relativism in Mathematics Education

Many constructivists tag as `absolutist' references to mathematics as an abstract body of knowledge, and stake-out the moral high-ground with the argument that mathematics is not only utilised oppressively but that mathematics is, in-itself, oppressive. With much reference to Ernest's (1991) Philosophy of Mathematics Education this tag has been justified on the grounds that if mathematics is a social-cultural creation that is mutable and fallible then it must be social acceptance that confers the objectivity of mathematics. This paper argues that mathematics, albeit a social-cultural creation that is mutable and fallible, is a body of knowledge the objectivity of which is independent of origin or social acceptance. Recently, Ernest (1998) has attempted to express social constructivism as a philosophy of mathematics and has included the category of logical necessity in his elaboration of the objectivity of mathematics. We argue that this inclusion of logical necessity not only represents a U-turn, but that the way in which Ernest has included this category is an attempt to maintain his earlier position that it is social acceptance that confers the objectivity of mathematics.     

Contemporary Classics? The Early Onset of Influence of Articles Published in Criminology and Criminal Justice Journals, 2010–2015

Citation analysis is a valuable method for tracking the growth and transmission of scientific knowledge. In criminology and criminal justice, such analyses tend to be focused on “classic” works or on highly cited scholars over many years. As an alternative approach, we focus on work that has been cited rather quickly – what we term the “early onset” of impact. In doing so, we identified 221 of the most highly cited peer-reviewed articles, authored by 480 scholars, which were published in criminology and criminal justice journals between 2010 and 2015. Analyses reveal wide variation in substantive topics and methodological approaches, as well as a substantial gender gap with respect to authorship. Additional analyses provide insight into both journal and institutional/program prestige. We conclude with directions for future research and stress the importance of tracking over time articles that appear to be off to an early start with respect to scholarly impact.     

On pretexts for higher education development activities

This paper raises questions concerning pretexts available to educational developers in justifying their activities. Positivist epistemology is seen as a dominant characteristic of the higher education development discourse, leading to an associated valuing of the practical, empirical and instrumental. An alternative conception of development activities from the stand point of interpretive understanding is then outlined, together with some problems which may be raised with respect to this approach. Finally, critical theory is discussed as providing an epistemological position which avoids some of the problems of the other frameworks, but which carries problems of its own. For each framework, some consequences of the particular approach for higher education developers and their common tasks and activities are outlined. Generally, a shift of emphasis from the practical and instrumental to the reflective and value-orientated is espoused.Based on a paper presented to the joint PRAHE/HERDSA (NZ) conference, CIT Wellington, 1990.     

In search of a middle ground: the dangers and affordances of diagnosis in relation to Attention Deficit Hyperactivity Disorder and Developmental Language Disorder

ABSTRACT

In this paper, we draw on the ‘dilemma of difference’ to discuss the dangers and affordances of diagnosis within two of the most prevalent, yet under-supported, disabilities affecting school-age children: Attention Deficit Hyperactivity Disorder (ADHD) and Developmental Language Disorder (DLD). The dilemma that exists between denying and thereby ignoring difference on the one hand, versus recognising and potentially stigmatising difference on the other, will be explored and the consequences outlined. Our aim is to achieve a middle ground that conceives of diagnosis as a helpful starting point to enable educators to address barriers to access and participation through appropriate adjustments to curriculum, pedagogy and assessment.     

Practical independent research projects in science: a synthesis and evaluation of the evidence of impact on high school students

Practical independent research projects (IRPs) are a feature of school science in a number of countries. To assess the impact of IRPs on students, a systematic review of the literature was undertaken. Thirty-nine papers met the review inclusion criteria, reporting on work from twelve countries. The review indicates that IRPs are often associated with wider initiatives such as authentic science, problem-based learning, and project-based learning. There is considerable variability in the nature of IRP work in relation to focus, models of provision, assessment, the involvement of external partners such as universities and employers, and funding, and this diversity affects judgements on the quality of the evidence base on impact. The majority of the research reviewed explored areas such as conceptual understanding, motivation to study science once it is no longer compulsory and attitudes to science, and the development of practical skills. Benefits were identified in relation to the learning of science ideas, affective responses to science, views of pursuing careers involving science, and development of a range of skills. Studies focusing on traditionally under-represented groups indicated that such students felt more positive about science as a result of undertaking IRPs. The review findings indicate that further work is needed to enhance the quality of the available evidence, to consider the ways in which IRPs can be validly assessed, to explore more fully the potential benefits for traditionally under-represented groups, and to explore more fully the potential longer-term benefits of participation in IRPs at high school level.     

Voices from the Field: Perspectives of U.S. Kinesiology Chairs on Opportunities,Challenges, and the Role of Mentoring in the Chair Position

This study examined perspectives of U.S. collegiate kinesiology department chairs (n = 54/144; 37.5% response rate) relative to: (a) opportunities and most enjoyable aspects of being a department chair, (b) challenges and least enjoyable aspects of being a department chair, and (c) perspectives on mentoring. The majority of participants enjoyed their chair role (90%) and did not aspire to advance in administration (61%). Job-related opportunities included mentoring others, facilitating department success, and leading initiatives (e.g., curricula, policies, and finances). Job-related challenges included a lack of university support, personnel issues, and urgent requests for information. Many had a mentor for a long time (mean = 7.9 ± 7.6 years; range 1 to 28 years), and the majority (71%) did not consider their dean a mentor. Protégés appreciated their mentors’ experience, listening skills, and willingness to share information, advice, and empathy. Results from this study provide helpful information for serving as a kinesiology chair.     

The bright and dark side of writing motivation: Effects of explicit instruction and peer assistance

The authors investigated the impact of explicit instruction and peer-assisted writing on students' writing motivation and self-efficacy for writing. Eleven teachers and their 206 fifth- and sixth-grade students participated in a 2 (explicit instruction vs. writing opportunities without explicit instruction) × 2 (peer-assisted writing vs. writing individually) experimental intervention study with a pretest-posttest design. The four experimental conditions were compared with a business-as-usual (BAU) condition. The five-week interventions were implemented in authentic classes by regular class teachers, who received a prior professional development training. Multilevel analyses showed that students who wrote with a peer were more autonomously motivated at posttest than BAU students. Additionally, BAU students and students receiving explicit instruction were more controlled motivated than students who were offered ample writing opportunities while practicing individually. Theoretical and educational implications are discussed in view of realizing a bright pathway towards autonomous writing motivation.     

Powerful knowledge: insights from music's case

This paper examines Young and Muller's elaboration of Michael Young's concept of powerful knowledge and considers music's alignment with the characteristics theorised as distinguishing this type of knowledge. Consideration of the concept in relation to music may be timely as music teachers continue to grapple with the problem of knowing what knowledge to include within the parameters of a school curriculum. The concept of powerful knowledge may provide us with a fresh way of considering what school music may have to offer in such a noisy and musically heterogeneous world. This curricular challenge, however, is by no means unique to music, even though it may be exacerbated in music which is so open to the forces of cultural change. I argue that access to this knowledge occurs by placing abstract concepts at the centre of curriculum conception as the means to mediate the space between everyday knowledge and the more vertical discourse of school knowledge. It is in this ‘academic’ space that students can come to understand and utilise music as a form of powerful knowledge, when epistemic understanding illuminates the experiential and aesthetic dimensions of musical experiences.     

The Use of the Course Experience Questionnaire as a Monitoring Evaluation Tool in a Problem-based Medical Programme

This paper reports on the use of the Course Experience Questionnaire (CEQ) as an instrument to monitor the medical programme at the University of Sydney and in particular to measure improvements in teaching quality with the introduction of the new graduate-entry problem-based programme. In addition, it raises the more general issue of interpretation of CEQ results in courses designed around problembased learning (PBL). Students' perceptions of teaching quality were sought using a whole class questionnaire survey and small group interviews. Students in the new programme rated their course more highly than did students in the old programme with respect to good teaching, appropriate assessment, generic skills and overall satisfaction. These improvements did not hold with respect to the clarity of goals and standards, nor for perceptions of an appropriate workload. The results are interpreted in context and it is argued that particular items in the CEQ do not reflect the educational philosophy or the instructional processes of PBL programmes.