Mathematics as part of technology

Competence in dealing with fundamental problems connected with mathematical model building requires three different forms of knowledge. Mathematical knowledge itself, technological knowledge about how to develop a model, and reflective knowledge relevant for evaluation of the model building process. We find that reflective knowledge cannot be reduced to technological knowledge, so that it is important for mathematical education that is to be consistent with a critical pedagogy to provide opportunities for development of that type of knowledge.A general conceptual framework for identification of reflective knowledge is presented via a structural (synchronic) and a developmental (diachronic) perspective of a mathematical model.The synchronic perspective includes relationships between the model, its object in reality, a complex of theories, a complex of interests, and a conceptual framework or system mediating the connection between model and object. The diachronic perspective includes the components: problem identification, structure of argumentation, basis for critique, and space of possible actions, all of them sensitive to the application of mathematics. In that sense mathematics is not a neutral tool in a technological investigation, a fact which mathematical education has to reflect.     

Exploring the Use of Conceptual Metaphors in Solving Problems on Entropy

A growing body of research has examined the experiential grounding of scientific thought and the role of experiential intuitive knowledge in science learning. Meanwhile, research in cognitive linguistics has identified many conceptual metaphors (CMs), metaphorical mappings between abstract concepts and experiential source domains, implicit in everyday and scientific language. However, the contributions of CMs to scientific understanding and reasoning are still not clear. This study explores the roles that CMs play in scientific problem-solving through a detailed analysis of two physical chemistry PhD students solving problems on entropy. We report evidence in support of three claims: a range of CMs are used in problem-solving enabling flexible, experiential construals of abstract scientific concepts; CMs are coordinated with one another and other resources supporting the alignment of qualitative and quantitative reasoning; use of CMs grounds abstract reasoning in a “narrative” discourse incorporating conceptions of paths, agents, and movement. We conclude that CMs should be added to the set of intuitive resources others have suggested contribute to expertise in science. This proposal is consistent with two assumptions: that cognition is embodied and that internal cognitive structures and processes interact with semiotic systems. The implications of the findings for learning and instruction are discussed.     

Recognition of prior learning,self-realisation and identity within Axel Honneth's theory of recognition

This paper argues for the significance of Axel Honneth's theory of recognition for understanding recognition of prior learning (RPL). Case studies of the experiences of RPL by paraprofessional workers in health and social care in the UK and Sweden are used to explicate this significance. The results maintain that there are varying conditions of recognition. These conditions are often fluid, negotiable and ambivalent. However, RPL appears to support self-realisation and self-awareness, when it co-occurs with individual's identification with associated practices. Workplace salary, affordances for practice and collegial values may shape the esteem and thus the potential for self-realisation. RPL can thus help facilitate the development of a more positive relationship to individuals engaged in RPL processes, enhancing their learning and development.     

Teacher capabilities in a multicultural educational environment: an analysis of the impact of a professional development project

With more programmes being taught through English in non-Anglophone contexts, higher education lecturers are faced with new challenges. This article briefly presents a professional development initiative carried out at departmental level as an intervention for all English Medium Instruction lecturers. In order to assess the effect of such an intervention, a mix of different data sets are used, moving from self-assessment by participants to observations of individual teaching practices in the classrooms. It is shown how corroboration of surveys and observation reports in an explicit feedback template can be used to evidence the value of the intervention in context.     

Prisoners’ academic motivation,viewed from the perspective of self-determination theory: Evidence from a population of Norwegian prisoners

International Review of Education - The study presented in this article explores prisoners’ academic motivation structure from the theoretical perspective of self-determination theory, using...     

Elite golfers' kinematic sequence in full-swing and partial-swing shots

The aim of this study was to investigate whether kinematic proximal-to-distal sequencing (PDS) and speed-summation are common characteristics of both partial and full-swing shots in golf players of different skill levels and genders. A total of 45 golfers participated, 11 male tournament professionals, 21 male and 13 female elite amateurs. They performed partial shots with a wedge to targets at three submaximal distances, 40, 55 and 70 m, and full-swing shots with a 5 iron and a driver for maximal distance. Pelvis, upper torso and hand movements were recorded in 3D with an electromagnetic tracking system (Polhemus Liberty) at 240 Hz and the magnitude of the resultant angular velocity vector of each segment was computed. The results showed a significant proximal-to-distal temporal relationship and a concomitant successive increase in maximum (peak) segment angular speed in every shot condition for both genders and levels of expertise. A proximal-to-distal utilization of interaction torques is indicated. Using a common PDS movement strategy in partial and full-swing golf shots appears beneficial from mechanical and control points of view and could serve the purpose of providing both high speed and accuracy.     

Teachers’ assessment experiences and perceptions in the practical-aesthetic subjects

A challenge for the practical-aesthetic subjects is the perception that they are less important than theoretical knowledge subjects. These subjects are among the non-core subjects receiving highest grades in Norwegian lower secondary schools, but also represent the highest number of complaints about grading. This study investigates teachers’ experience and perceptions of assessment in the practical-aesthetic subjects, through the response to an open-ended questionnaire from 28 teachers, and individual semi-structured interviews with four of these teachers. Results suggest that teachers of the practical-aesthetic subjects promote low status for these subjects, through their teaching and assessment practice.     

The formation of the willing citizen – Tracing reactive nihilism in late capitalist adult education

The role of education in citizen training has been well mapped out in youth education. What has been less studied is how this role comes into being in adult education. By providing illustrative empirical examples from a recently completed study of adult students enrolled in adult education, this article aims to offer a theoretical response to the question of the role of adult education in adult student citizen subjectivity formation. Taking on Diken’s concept of ‘reactive nihilism’, we wish to make the following arguments. First, that citizen formation in adult education, when students are asked about it, is actualised as processes of re(dis)covery of will in order to be(come) a successful and happy citizen in society. Secondly, that these processes point towards a role of adult education as one where these formation processes work in tandem with those of the reactive nihilists. This means that the citizen formation processes made possible in this educational site are those marked out by the desire to mobilise one’s will formation so that it adapts to the prevailing societal situation—that of late capitalism, which is a situation not considered by the adult students as possible to change.