The terms in Lucas sequences divisible by their indices

For Lucas sequences of the first kind (u_n) and second kind (v_n) defined as usual for positive n by u_n=(a^n-b^n)/(a-b), v_n=a^n+b^n, where a and b are either integers or conjugate quadratic integers, we describe the set of indices n for which n divides u_n and also the set of indices n for which n divides v_n. Building on earlier work, particularly that of Somer, we show that the numbers in these sets can be written as a product of a so-called basic number, which can only be 1, 6 or 12, and particular primes, which are described explicitly. Some properties of the set of all primes that arise in this way is also given, for each kind of sequence

Bilingual learners' perspectives on school and society in Scotland

This book results from The Creative Learning and Student's Perspectives (CLASP) research project which examined processes of creative learning. Nine research groups throughout Europe explored creative learning practices in a variety of different educational contexts. The research observed teachers across the cultures constructing real and critical events, incorporating external collaborations, being innovative with space and modeling their own creativity for students. Secondly, it identified some characteristics of creative learning itself, e.g. intellectual enquiry, engaged productivity and process and product reviews. Thirdly, the research demonstrated how teacher strategies and creative learning became meaningful to students with the students gaining self affirmation, developing social identities and appreciating being given a social role in pedagogic evaluation. The book details the research in Austria, Denmark, England, Ireland, Poland, Portugal, Scotland, Spain and Sweden

A Genealogy of Emancipatory Values

Analytic moral philosophers have generally failed to engage in any substantial way with the cultural history of morality. This is a shame, because a genealogy of morals can help us accomplish two important tasks. First, a genealogy can form the basis of an epistemological project, one that seeks to establish the epistemic status of our beliefs or values. Second, a genealogy can provide us with functional understanding, since a history of our beliefs, values or institutions can reveal some inherent dynamic or pattern which may be problematically obscured from our view. In this paper, I try to make good on these claims by offering a sketchy genealogy of emancipatory values, or values which call for the liberation of persons from systems of dominance and oppression. The real history of these values, I argue, is both epistemologically vindicatory and functionally enlightening

Competencies for Improving Construction Performance: theories and practice for developing capacity

The focus on improving construction performance has been narrow in many nations using partnering,leanness and supply chain management. This paper asks three practical construction related questionsconcerning reinventing the wheel across projects, blame culture and continuity of service. In addressingthese practical issues, three theories are engaged: organisational learning, emotional intelligence andrelationship management. The solutions are enhanced through applying the concepts and, indeed, thereis synergy between the concepts. The solutions require investment for the expected return, the theoreticalsynergy maximising the benefits from the investment. It is argued that such an approach has as much, ifnot more chance, to yield improvement in construction. The starting point are issues faced in constructionand theory is induced through addressing the problems, rather than starting with concepts applied inother sectors and then trying to squeeze them into the construction context

Time Referents in the Regiment of Princes

Humanitie

Procurement push and marketing pull in supply chain management: the conceptual contribution of relationship marketing as a driver in project financial performance

? The agenda for supply management practices on construction projects originated from clients. It is largely procurement driven, the dominant strategy of contractors being to emulate the client approach, and hence push the procurement model along the chain.? This procurement push along the supply chain translates the intrinsic client interest in value into a contractor interest in repeat business from the same client or through referral markets, the consequence being: (i) loss of interest in adding further value along the chain, (ii) continuous improvement prematurely reaches the law of diminishing returns through a primary cost reduction focus, (iii) supply chains may be rationalised in terms of the number of suppliers for each link in the chain, yet the procurement push increases chain length in order to squeeze the lowest costs possible, hence those doing the work at the bottom of the chain will not have the resources to add value nor necessarily be aware of the strategic principles at the top of the chain. ? Marketing is the other side of the same ?procurement coin?; relationship marketing (RM) soliciting a pull in the supply chain, potentially adding value for continuous improvement. ? Finally, the RM approach will be related to the theoretical and actual decoupling point for construction, with the potential to move the point towards the start of the chain, hence increasing the potential for agile manufacturing