Random quadralinear forms and schur product on tensors

INTRODUCTIONWeadoptthestandardnotation(1)Nplp%forthecomplexvectorspaceNCequippedwiththenorm11||||:(||)NpppnnXx==.TheusualmodificationsaremadetodefineNlandtheinfinitedimensionalsequencespace(1)plp%.AlloftheseareBanachspaces.LetA:(1,)NMpqllpq?alinearmapanddefinetheoperatornormby||||:sup{||||:||||1}pqqpxx==AA.ThemapAcanberepresentedasanMNmatrix()ijawithrespecttothestandardbases.Motivatedbyproblemsonabsolutelysummingoperators,Bennettetal.(1975)andBennett(1977)obtainedestimatesforthep…     

New forms of government school provision – an international comparison

Driven by a desire to improve academic outcomes and transform ‘failing’ schools, governments around the world have often turned to the development of new forms of state-funded school. This paper looks at three such instances of the introduction of new forms of schooling, within three urban localities (academy schools in London; charter schools and small schools of choice in New York City; and Schools of Tomorrow in Rio de Janeiro). It considers the extent to which these types of school did improve academic outcomes for their students and draws comparisons across each case study in order to understand their similarities and differences. It concludes that although the quasi-marketisation of school systems through the introduction of new (often private) providers might improve outcomes, this is not the only means by which improvement can be attained; and that instead the introduction of new forms of school may be successful because this enables certain other changes to happen. It highlights the limited nature of impact evidence available in all instances, which restricts our ability to properly evaluate the effect of new school types on outcomes.     

Sardonic science? The resistance to more humanistic forms of science education

Resistance to more humanistic forms of science education is an endemic and persistent feature of university scientists as well as school science teachers. This article argues that science education researchers should pay more attention to its origins and to the subtleties of its stubborn influence. The paper explores some of the imperatives which dominate the continuing practices of teachers; the linkages between school and university science; and re-considers the relationships between learning science, learning to do science and learning about science. It draws on recent, prominent publications, as well as neglected and rather more contentious material, to underline the unhelpfully narrow view of science held by those who defend the traditional disciplinary influences of biology, chemistry and physics. Suggestions are made as to where those of a more radical and determined disposition should direct their attention in the interests of improved education, vital scientific progress as well as human survival. It is argued that university science must change in order to ensure that teachers better help their students to learn, do and appreciate science.     

Is pair programming more effective than other forms of collaboration for young students?

This study investigates differences between collaboration methods in two summer enrichment classes for students entering the sixth grade. In one treatment, students used pair programming. In the other treatment, students engaged in frequent collaboration, but worked ontheir own computer. Students in the two treatments did not differ significantly in their performance on daily quizzes or responses to attitudinal survey questions. However, the students who worked on their own computer completed exercises more quickly than those using pair programming. This study compares two learning environments with high levels of collaboration to isolate aspects of pair programming that are and are not responsible for the reported success of educational research focused on pair programming. This study expands our understanding of pair programming by moving beyond simplistic comparisons of learning environments with and without collaboration and by extending pair programming research to elementary school students.     

Do allegations of emotional maltreatment predict developmental outcomes beyond that of other forms of maltreatment?

OBJECTIVES: To understand the features of child abuse/neglect (CA/N) allegations in cases with emotional maltreatment (EMT) allegations, as well as the features of the EMT allegations themselves, and to describe any associations of EMT with distinct impairments of children's behavior, emotion and functioning. METHOD: The sample consisted of 806 high-risk children, 545 with one or more maltreatment reports to CPS. The Maltreatment Classification System was used to record the number and severity levels of maltreatment allegations, which compared cases with and without EMT. Multiple regression analyses were conducted using 10 outcome scales from the Child Behavior Checklist, Vineland Screener, and Trauma Symptom Checklist. Successive blocks of predictor variables included demographics, maltreatment classification variables, maternal and family characteristics, and study site. RESULTS: When there were allegations of EMT as well as CA/N in a CPS case-record (by age 8), the CA/N allegations tended to be either more frequent or less severe than those kinds of allegations in cases without EMT. When neglect was alleged to occur with EMT, neglect allegations outnumbered allegations of EMT. However, when sexual abuse allegations were accompanied by EMT allegations, there were more EMT allegations than sexual abuse allegations in the cases. Higher severity ratings for EMT allegations than for physical abuse occurred when cases included any abuse. Distinctive effects of EMT subtypes were found between problems of safety/restriction and self-reported anger symptoms, and between problems of self-esteem/autonomy and posttraumatic stress. CONCLUSION: Differences exist between the CA/N allegations in cases with and without EMT. Having few cases containing only EMT allegations made it difficult to assess distinctive harm associated with EMT. Certain types of EMT allegations were associated with increases in children's anger and posttraumatic stress.     

Beneath the tip of the iceberg: exploring the multiple forms of university–industry linkages

This article focuses on the wide variety of channels through which the process of knowledge transfer occurs. The overall objective is to show the complexity of relationships between researchers and firms in a university system, and to identify some specific factors that influence such interactions. Our case study involves a face-to-face survey of 765 heads of research teams in a regional system to contrast the multiple forms of university?Cindustry collaborative linkages. Drawing on the exploitation of a data set developed for the purpose, we show that for a majority of universities the thrust of their collaborative experiences is devoted to tacit knowledge rather than to intellectual property rights. Researchers actively engage in the provision of different services to firms such as consulting work, commissioned or joint research projects, and human resources training. Research teams also participate in non-academic knowledge dissemination and informal networking. The results of our study enable us to draw some policy implications for university administrators and policymakers. A focus on patents and spin-offs as indicators of collaborative research ignores the limits of many of the economic and productive contexts in which universities are embedded. It may also be detrimental to the strengthening of emerging trends that are oriented towards softer collaborative experiences and other forms of knowledge transfer.     

Using different art forms to investigate the impact on children’s involvement in literacy activities

Much of the research into factors that affect children’s school performance has focused on parental involvement rather than the nature of children’s activities undertaken in school. More research is therefore needed to examine the kinds of activities that affect performance and, in particular, whether the degree of involvement children experience in those activities can affect school performance. Children in free play often choose to be involved in arts activities so the arts could be considered as a promising approach. The purpose of this paper is to investigate the effects of ‘Play and Learn through the Arts’ programme on children’s involvement during literacy activities in five- to six-year-old children. It was examined if the arts in general or a specific art form could contribute more to children’s involvement in literacy activities. Children from four different settings participated in this study. To measure the outcome of the intervention the LIS-YC was used and items such as children’s concentration, persistence and precision were measured. The findings were analysed using a mixed method approach and showed significant benefits in all the items in children’s levels of involvement in the arts group over the control group and no difference in effects among the different art forms.     

Encouraging multiple forms of scholarship in faculty reward systems: Does It Make a Difference?

This article presents findings from a national study of Chief Academic Officers of 4-year institutions on the impact of policy efforts to encourage multiple forms of scholarship in faculty roles and rewards. The extent of reform, kinds of reform and influence of initiating reform is examined in four areas: expectations for faculty evaluation, the faculty evaluation process, promotion and tenure outcomes, and institutional effectiveness. The findings are also examined by institutional type. Findings from this study show that campuses that initiated policy reforms to encourage multiple forms of scholarship were significantly more likely than their counterparts to report that teaching scholarship and engagement counted more for faculty evaluation, to report a broader set of criteria used to assess scholarship, and report a higher percentage of tenure and promotion cases that emphasized their work in these areas. In addition, CAOs at campuses that initiated reforms reported a greater congruence between faculty priorities and institutional mission, and greater improvement in attention to undergraduate learning over the last decade.     

The return of the repressed?: the gender politics of emergent forms of professionalism in education

Three distinct discourses frame this paper: ‘new public managerialism’, new modes of governmentality, and new masculinities and femininities. This paper considers the changing forms of governance in projects of educational professionalism emerging in the nested contexts of teaching, teacher training, and academic research within departments of education. It takes the production of the subject position of the manager/wo‐manager as central to managerialist regimes theorized as provoking and potentiating modes of recruitment, refusal, and mis/recognition. It illustrates this through a heuristic relational schemata constituted by the dominance of the managerialist—audit gaze. Taking a theoretically similar but methodologically different (i.e. non‐empirical) approach (or liberty?), one understands subject positions like Prichard and Deem, as produced ‘through a series of discursive or communicative practices’ realized in different ‘conditions of possibility’. The notion of ‘communicative practice’ was also put under scrutiny, given the monovocal as opposed to the dialogic nature of audit: ‘Audit is essentially a relationship of power between scrutinizer and observed: the latter are rendered objects of information, never subjects in communication’.1 This paper was originally given as part of a symposium on gender and teacher training in higher education at the British Educational Research Association Annual Conference Leeds, 13–15 September 2001. The paper has been subsequently revised as a result of conversations with other colleagues in the Professional Education Research and Reading Group, Cathy Aymer and Toyin Okitikipi. It has also been significantly reworked in the light of reviews and we thank our reviewers for their insights. One is, thus, interested in the ubiquity of the ‘managerialist subject position’ as a limit condition for the professional self and how gender gets reworked within this. One is aware that the paper slides across the domains of teaching, teacher training, and academic and professional work identities. It is not presented as an orthodox ‘labour process’ account, neither is it a conventional sociological reading of ‘professionalism’. The authors wish to deliberately keep open the possibilities provided by this lack of specificity through exercising the sociological imagination. The following is best considered an experiment in social critique deriving from a post‐structuralist methodological stance. The aim is to capture through metaphorical means the temperature and tempo of some experiential dimensions of the gendered regulation of educational subjectivities, thought as a central psychosocial feature of the ‘domaining effect’ of audit.     

Strong/weak limits and strong/weak differentials of multi-variable indeterminate forms. III: Transformations

1SimplificationinsphericalcoordinatesInthesphericalcoordinatessystem,??y?x=rsinθcosφ,z=rsinθsinφ,=rcosθ,???00≤θ<π,≤θ<2π.Setk=?tanφ,yandK=?zcotθ,then,xxcosφcotθu=r0K(t,t')istransformedintor=r0K(tanφ,cos),φandis,whenφ=0,simplifiedintoatruncatedcurver=r°K(0,cotθ).Thelatteriseasiertoberesolvedandcanreverttotheformerthroughturningaroundfor180°.Example.Thereexistsu=z2=(rcosθ)2x2+y2+z2r2=r°cos2θ?φ°,0≤θ≤π,0≤φ<2π.AsshowninFig.1,XX′isthediameteroftheunitcircle,OP0i…     

Curriculum integration in arts education: connecting multiple art forms through the idea of ‘space’

Arts integration research has focused on documenting how the teaching of specific art forms can be integrated with ‘core’ academic subject matters (e.g. science, mathematics and literacy). However, the question of how the teaching of multiple art forms themselves can be integrated in schools remains to be explored by educational researchers. This paper draws on data collected at a secondary school in Singapore. The case study analyses how three art teachers, using the idea of ‘space’ as organizing theme, implemented a module of instruction that connected concepts and processes from a variety of art forms (including dance, music, drama and visual arts). We present evidence from curriculum materials, lesson plans, student–teacher classroom interactions and students’ productions. Students were able to reflect upon the importance of space within the arts, analyse the points of convergence and divergence among several art forms, experiment with space and create their own interdisciplinary performances. Our ultimate aim is to provide insights that might inspire art teachers in designing instructional units focused on ‘big ideas’. We suggest that allowing more curricular freedom and providing teachers with adequate structures for interdisciplinary collaboration are key to achieving meaningful levels of integration.     

Becoming a researcher: forms of capital associated with “research capacity” trajectories of young British social anthropologists

The paper privileges the voices of British social anthropologists examining their perceptions of how their research expertise was acquired. Reference is made to the case of education research in Britain, which, by comparison with social anthropology, reveals limited capacity as measured through performance audits of scientific research quality. The paper endeavours to facilitate knowledge transfer by uncovering and theoretically classifying the origins of research capacity. Life history interviews provide the data which illuminate the grounded nature of symbolic capital. The intellectual formation of the sample is characterised through Pierre Bourdieu’s theorisation of symbolic capital. The results indicate that research capacity can be characterised in terms of a transmission of symbolic capital, including that gained in the field through institutional affiliations whose reputational assets enhance the power of academics to play the game.     

Strong／weak limits and strong／weak differentials of multi-variable indeterminate forms. II： Supplementary annotations and analysis

Supplementary annotations on special forms 1to 4, discussion on the general characteristics of K(t) and K(t,t′), and analyses on two noticeable limits are presented in this part. It is demonstrated that strong and weak parabolic transforms can beemployed to change the standard form of a multi-variable indeterminate form into χ^mK type, hence to derive the standardformulae of the limit and the differential.     

‘Family comes in all forms,blood or not’: disrupting dominant narratives around the patriarchal nuclear family

ABSTRACT

After nearly 25 years of democracy, lives of young South Africans are still profoundly shaped by the legacies of apartheid. This paper considers how these differences are produced, maintained and disrupted through an exploration of changing narratives developed by a small group of South African pre-service teachers, with a particular focus on the narratives developed around discourses of fatherhood generally and absent fathers in particular. We draw on interviews conducted with three students in which we discussed their digital stories and literature reviews. In this paper, we draw attention to the limitations of digital storytelling and the risks such autobiographical storytelling presents of perpetuating dominant narratives that maintain and reproduce historical inequalities. At the same time, in highlighting ways in which this risk might be confronted, the paper also aims to show the possibilities in which these dominant narratives may be challenged.     

Strong/weak limits and strong/weak differentials of multi-variable indeterminate forms. I: Deduction and geometric illustration

1. Introduction In 1696, the French mathematician L. Hospital published a thesis titled Infinitesimal Analysis which dealt with differential and integral calculus created by Newton and Leibniz. The thesis attracted much worldwide attention on its appearance, especially Hospital抯 creation so called 揹ifferential solution method for unitary indeterminate form?is till popular. The author acquired in early 1936 that 22xyzxy=+ is the indeterminate form when P(x,y) O (0,0), and that dtandyykxxa…     

Ecclesiastical and religious factors which preserved Christian and traditional forms of education for citizenship in English schools, 1934–1944

Participants in the public discourse pertaining to religious education and education for citizenship in English schools between 1934 and 1944 included many ‘Christian educationists’. They advocated a conservative and elitist form of education for citizenship as taught through indirect training, Arnoldian public school traditions and ecumenical, liberal Protestantism. This contrasted with the conception of education for citizenship promoted by the founder members of the Association for Education in Citizenship. They wanted pupils to be educated into a liberal, democratic and secular version of English citizenship by means of ‘progressive’ pedagogies and direct instruction. This article identifies the ecclesiastical and religious factors which preserved the Christian and traditional form of education for citizenship in English schools between 1934 and 1944. These factors included the revival of the Christian foundations of British national identity and citizenship, the development and acceptance of non‐denominational forms of Christian education, the increasingly positive response which an evermore coherent and professionalised cohort of Christian educationists received from the Board of Education and the Consultative Committee, and the political power of the Anglican Church within the dual system combined with the religious settlement agreed in the 1944 Education Act.     

‘Who wants to be a travelling teacher?’ Bilingual teachers and weak forms of bilingual education: the Norwegian experience

In this article, I argue that immigrant bilingual teachers and mother‐tongue teachers are not formally recognised as ‘genuine’ teachers in the Norwegian school system. Norwegian education authorities have invested considerable effort in order to strengthen the competences of bilingual teachers and to both recognise and formalise their home country education. Amongst other things, several university colleges were encouraged to provide specially designed higher education programmes for bilingual teachers in order to integrate teachers with bilingual competences into the Norwegian primary school teaching system. This paper is based on data collected in 2007–2008 during the national evaluation of this education, which is the first of its kind in Norway. Although popular amongst immigrant students, it seems that the competences to be gained by graduates of the BA degree programme are not recognised or utilised in the schools where they work. Due to low social status and an unfavourable structural position within the Norwegian school education sector, these teachers will try to distance themselves from their bilingual roles and identities. Within such a framework, the higher education that is intended to strengthen optimum bilingual tuition in the primary schools sector is, in fact, steering bilingual teachers and mother‐tongue teachers away from these more specialised and less valued professions, seeking instead, access into the more mainstream and higher status teaching jobs.