Battle-outcome-prediction conditions for variable-coefficient Lanchester-type equations for area fire2

New important battle-outcome-prediction conditions are developed for combat between two homogeneous military forces modelled by variable-coefficient Lanchester-type equations for area fire. Such conditions are very significant in modern operations research for developing important insights into the dynamics of combat. However, similar differential-equation models do arise in other fields of science and technology such as mathematical ecology and epidemiology, and consequently our new mathematical results may also find application there. These new important “simple approximate” battle-outcome-prediction conditions depend on not only the combat-attrition model but also the battle-termination model, and they are developed for two different types of battle-termination conditions (fixed-force-level-breakpoint battles and fixed-force-ratio-breakpoint battles). They are sufficient (but not necessary) to determine the outcome of battle without having to explicitly compute the force-level trajectories, and a generalization of Lanchester’s famous linear law to variable-coefficient combat is involved in their development. Certain integrability properties of the Lanchester attrition-rate coefficients figure prominently in these results, and an important physical interpretation (relating to logistics considerations) is given for these properties.     

Rethinking scientific specialization

My aim in this paper is to re-examine specialization in science. I argue that we need to acknowledge the role that conceptual changes can play in the creation of new specialties. Whereas earlier sociological accounts focus on social and instrumental changes as the cause of the creation of new specialties, I argue that conceptual changes play an important role in the creation of some scientific specialties. Specifically, I argue that conceptual developments played an important role in the creation of both endocrinology and virology.     

Changing leadership: Teachers lead the way for schools that learn

This paper presents findings from a three-year, qualitative study of teachers enrolled in a Masters of Teacher Leadership program. Researchers sought to understand the ways teachers’ beliefs about and understandings of teacher leadership were affected by their participation in a formal teacher leadership program, as well as the kinds of actions they took up as a result of this participation. Data indicate three significant ways participants’ work as teacher leaders was developed and enhanced, including: (a) identifying and amplifying their professional voice, (b) deepening and extending their voice as they plan, and (c) reframing their work/shift responsibility through constructing widening circles of influence and impact. Authors identify implications of their research for growing teacher leaders, school improvement and change, changing school culture, enhancing student engagement, and building new structures.     

Advancing Diversity in STEM

Although progress has been made, greater efforts are needed to promote faculty diversity at the college and university levels, especially in STEM fields. Thus, it is important to elucidate best practices both for increasing awareness of diversity issues pertaining to higher education and for implementing change. This article focuses on the outcomes of a diversity workshop for college and university faculty hosted by the West Virginia Higher Education Policy Commission, Division of Science and Research. More specifically, it elucidates how participation in the workshop translated into practice at the faculty participants’ home institutions.     

‘Hope in failure’: A Level students,discursive agency,post-feminism and feminism

This article begins with Pollock’s comment that Judith Butler ‘finds hope in failure’ and its aim is to explore what ‘hope in failure’ means in relation to A Level students’ engagements with post-feminism and feminism. The article grounds its argument in an exploration of how post-feminism and feminism intersect with sixth form students’ subjectivities through the educational practices of their second-year A Level subject-based research. The article analyses empirical instances of students’ discursive agency through Butler’s notions of performativity, citationality, excessive signification and resignification to consider the complex, multiple and creative ways in which sixth form students produce themselves as viable gendered subjects in relation to post-feminist and feminist discourses. The analysis considers both how discourse regulates and conditions students’ relations with post-feminism and feminism and how discourse contains the possibilities for the subject to refuse the refusal of feminism in popular culture. Through its analysis of how students use their discursive agency to claim a feminist identity, and how these uses constitute transgressive practices, the article explores the political significance of identifications with feminism in doing gender differently. It ends with an argument for the re-consideration of the apparently assured popular cultural ‘failure’ of feminism in post-feminist neoliberal times.     

Transformative Professional Learning Within Schools: Relationship to Teachers’ Beliefs, Expertise and Teaching

Although scholarship and research have demonstrated the positive impact of professional learning on academic teaching and learning, an inadequate amount of research has examined how professional learning is associated with transformative teaching for equity, diversity and social justice. This survey study explored the relationship between professional learning and teachers’ beliefs about diversity, transformative expertise, and transformative teaching by comparing two models of professional learning in 25 small urban elementary schools. Results indicated that factors in both the process and transformative content models predicted differences in teachers’ reported beliefs, expertise, or teaching. While some factors such as learning to teach for social justice consistently predicted increased transformative practices, other factors failed to predict or were associated with decreased transformative practices. After discussing the findings, implications for practice, theory and research are offered.     

The views of Pasifika students in New Zealand about communicating mathematically

This paper focuses on the perspectives of Years 7 and 8 Pasifika students on mathematics learning, in particular their views about the communication of solution strategies with others (their peers), and their teacher. Pasifika students' ideas about the importance of communicating their mathematical reasoning and strategies to peers and teachers were analysed and themes identified. While most students were in agreement about the importance of explaining their thinking to others, there was considerable variation in the reasons they gave for their views. The findings are interpreted in relation to socio-cultural theory and recent writing about requirements for citizenship in the twenty-first century.     

Person-Environment Fit and its Effects on University Students: A Response Surface Methodology Study

The amount of time, effort, and money expended in pursuit of a college degree makes it important that students choose a university that is a good fit for them. Unfortunately students often determine whether a university is a fit for them through trial and error. This research investigated student-university fit and its relationship with satisfaction and well-being. We assessed student-university fit by developing 18 fit factors and measuring needs for, and supplies of, those factors. We tested our hypotheses using polynomial regression analysis and response surface methodology. Data from 228 students suggest that student-university fit is predictive of students?? satisfaction with their university and psychological well-being.     

Membrane-integrated microfluidic device for high-resolution live cell imaging

The design and fabrication of a membrane-integrated microfluidic cell culture device (five layers,≤500 μm total thickness) developed for high resolution microscopy is reported here. The multi-layer device was constructed to enable membrane separated cell culture for tissue mimetic in vitro model applications and pharmacodynamic evaluation studies. The microdevice was developed via a unique combination of low profile fluidic interconnect design, substrate transfer methodology, and wet silane bonding. To demonstrate the unique high resolution imaging capability of this device, we used oil immersion microscopy to image stained nuclei and mitochondria in primary hepatocytes adhered to the incorporated membrane