‘Balancing’ the ‘live’ use of resources towards the introduction of the iterative numerical method

This paper draws on the Knowledge Quartet (Rowland, Huckstep, & Thwaites, 2005) to analyse an introductory to the Iterative Numerical Method Year 13 lesson of a secondary mathematics teacher who uses a range of paper based and electronic resources including Autograph, a mathematics-education software. Data were collected during one lesson observation and a follow up interview with the teacher. Analysis identifies the different aspects of the Knowledge Quartet dimensions: foundation, transformation, connection and contingency, in relation to the introduction to the Iterative method and to the teaching of Year 13 students. Findings demonstrate how the teacher used students’ contributions as resource for his teaching; how he balanced his use of resources; and how he created connections between these resources while he remained attentive to exam requirement

Anisotropic Transport Properties of Ferromagnetic-Superconducting Bilayers

We study the transport properties of vortex matter in a superconducting thin film separated by a thin insulator layer from a ferromagnetic layer. We assume an alternating stripe structure for both FM and SC layers as found in [7]. We calculate the periodic pinning force in the stripe structure resulting from a highly inhomogeneous distribution of the vortices and antivortices. We show that the transport properties in FM-SC bilayer are highly anisotropic. In the absence of random pinning it displays a finite resistance for the current perpendicular to stripes and is superconducting for the current parallel to stripes. The average vortex velocity, electric field due to the vortex motion, Josephson frequency and higher harmonics of the vortex oscillatory motion are calculated.Comment: 4 pages, 2figures, Submitted to PR

Hysteresis of Finite Arrays of Magnetic nano Dots

Hysteresis curves for finite arrays of $N\times N$ ferromagnetic nano dots subject to the dipole-dipole interaction are investigated for $N=2... 13$. Spin arrangements up to N=6 are presented, which indicate the onset of bulk-like behavior associated with odd (N=5) and even (N=6) systems. The effect of field misalignment on the hysteresis loops is also studied for $N=3... 6$. The area $A_N$ of the hysteresis loop is studied as a function of $N$. We find that $A_N-A_\infty$ approximately scales as $N^{-{3/2}}$ for $N$ odd and as $N^{-2}$ for $N$ even.Comment: 6 pages, 8 figures, Submitted to PR

Design Implications for Technology-Mediated Audience Participation in Live Music

Mobile and sensor-based technologies have created new interaction design possibilities for technology-mediated au- dience participation in live music performance. However, there is little if any work in the literature that systematically identifies and characterises design issues emerging from this novel class of multi-dimensional interactive performance systems. As an early contribution towards addressing this gap in knowledge, we present the analysis of a detailed sur- vey of technology-mediated audience participation in live music, from the perspective of two key stakeholder groups - musicians and audiences. Results from the survey of over two hundred spectators and musicians are presented, along with descriptive analysis and discussion. These results are used to identify emerging design issues, such as expressive- ness, communication and appropriateness. Implications for interaction design are considered. While this study focuses on musicians and audiences, lessons are noted for diverse stakeholders, including composers, performers, interaction designers, media artists and engineers

DOES THIS MAKE SENSE? : THE EFFECT OF CONGRUENT GUISE IN REGIONAL ACCENT ON GRAMMATICAL ACCEPTABILITY JUDGMENTS

This study seeks to unite sociophonetic speech perception and syntax research by presenting participants with congruent or incongruent social expectations during a structural grammaticality judgement task. Participants completed a between-subjects matched guise survey with place-based grammatical structures spoken in either a congruent place-based, local accent or a nonlocal accent. Place-based structures are consistently rated more acceptable in the local accent than the nonlocal. These results suggest that judgment of grammaticality results from an interplay of sociocultural expectations with accent and sentence structure. Judgement of structural grammaticality is not independent of social expectation

“Does this make sense?”: The effect of matching guise in regional accent on grammatical acceptability judgments

Syntax and sociophonetics are typically treated as wildly disjointed (possibly even incompatible) theoretical pursuits. This paper seeks to unite sociophonetic speech perception and syntax research by presenting participants with matching or mismatching social expectations during a structural grammaticality judgment task. Place is the unifying social association between guise and structure. Participants completed a between-subjects matched guise survey with place-based grammatical structures spoken in either a matching place-based, local accent or a nonlocal accent. Place-based structures are consistently rated more acceptable in the local accent than the nonlocal. These results suggest that judgment of grammaticality results from an interplay of sociocultural expectations with accent and sentence structure. Judgment of structural grammaticality is not independent of social expectation

Mathematics teachers’ work with resources: four cases of secondary teachers using technology

This study examines teachers’ work with paper-based, technology and social resources with the use of two theoretical frameworks: the Documentational approach and the Knowledge Quartet. The former affords looking at teachers’ resources and resource systems and how these are utilized under schemes of work. The latter affords a closer look at teachers’ work during lessons and at their knowledge-in-action. Specifically, the study investigates how four upper secondary teachers use, re-use and balance their resources by looking at their schemes of work in class, through lesson observations; and, by reflecting on the details of their work and knowledge-in-action in pre- and post-observation interviews. Analysis examines five themes in relation to teachers’ work. First, teachers use students’ contributions as a resource during lessons. Second, teachers connect (or not) different resources. Third, institutional factors, such as examinations requirements and school policy, have impact on teachers’ decisions and on how they balance their resource use. Fourth, when mathematics-education software is used, teacher knowledge of the software comes into play. Fifth, there is ambiguity in the identification of contingency moments, particularly regarding whether these moments were anticipated (or not) or provoked by the teacher. These five themes also suggest theoretical findings. In relation to the Knowledge Quartet, the findings indicate the potency of adding a few new codes or extending existing codes. This is especially pertinent in the context of teaching upper secondary mathematics with technology resources. In relation to the Documentational approach, this study introduces two constructs: scheme-in-action and re-scheming. A scheme-in-action is the scheme followed in class and documented from the classroom. Re-scheming is scheming again or differently from one lesson to another. Finally, the study discusses implications for practice and proposes the use of key incidents extracted from classroom observations towards the development of teacher education resources (e.g. for the MathTASK programme)

Pure Hardcore? wipEout HD and current game design

This review highlights the changes made for the futuristic racing game Wipeout HD. Once deemed a hardcore game the Wipeout series has since broadened its appeal. The game's state of the art audio integration and the subtle changes to its gameplay are highlighted in the context of contemporary game design