Cognitive models for the concept of angle

Tese de doutoramento em Filosofia

Investigating high-achieving sixth grade students' erroneous answers on the angle concept in Yozgat

The angle concept is a multifaceted concept having static and dynamic definitions. The static definition of the angle refers to “the space between two rays” or “the intersection of two rays at the same end point” (Mitchelmore & White, 1998), whereas the dynamic definition of the angle concept highlights that the size of angle is the amount of rotation in direction (Fyhn, 2006). Since both definitions represent two diverse situations and have unique limitations (Henderson & Taimina, 2005), students may hold misconceptions about the angle concept. In this regard, the aim of this research was to explore high achievers’ knowledge regarding the definition of the angle concept as well as to investigate their erroneous answers on the angle concept.

104 grade 6 students drawn from four well-established elementary schools of Yozgat, Turkey were participated in this research. All participants were selected via a purposive sampling method and their mathematics grades were 4 or 5 out of 5, and. Data were collected through four questions prepared by considering the learning competencies set out in the grade 6 curriculum in Turkey and the findings of previous studies whose purposes were to identify students’ misconceptions of the angle concept. The findings were analyzed by two researchers, and their inter-rater agreement was calculated as 0.91, or almost perfect. Thereafter, coding discrepancies were resolved, and consensus was established.

The angle concept is a multifaceted concept having static and dynamic definitions.The static definition of the angle refers to “the space between two rays” or“the intersection of two rays at the same end point” (Mitchelmore & White, 1998), whereas the dynamicdefinition of the angle concept highlights that the size of angle is the amountof rotation in direction (Fyhn, 2006). Since both definitionsrepresent two diverse situations and have unique limitations (Henderson & Taimina, 2005), students may holdmisconceptions about the angle concept. In this regard, the aim of thisresearch was to explore high achievers’ knowledge regarding the definition ofthe angle concept as well as to investigate their erroneous answers on theangle concept.

An Integrated Framework To Improve The Concept Of Resource Specialisation.

Resource specialisation, although a fundamental component of ecological theory, is employed in disparate ways. Most definitions derive from simple counts of resource species. We build on recent advances in ecophylogenetics and null model analysis to propose a concept of specialisation that comprises affinities among resources as well as their co-occurrence with consumers. In the distance-based specialisation index (DSI), specialisation is measured as relatedness (phylogenetic or otherwise) of resources, scaled by the null expectation of random use of locally available resources. Thus, specialists use significantly clustered sets of resources, whereas generalists use over-dispersed resources. Intermediate species are classed as indiscriminate consumers. The effectiveness of this approach was assessed with differentially restricted null models, applied to a data set of 168 herbivorous insect species and their hosts. Incorporation of plant relatedness and relative abundance greatly improved specialisation measures compared to taxon counts or simpler null models, which overestimate the fraction of specialists, a problem compounded by insufficient sampling effort. This framework disambiguates the concept of specialisation with an explicit measure applicable to any mode of affinity among resource classes, and is also linked to ecological and evolutionary processes. This will enable a more rigorous deployment of ecological specialisation in empirical and theoretical studies.

The Islamic/Qur'anic concept of emancipation of women according to 'Bint al-Shati', 1913-1998

A presentation and an analysis of the Islamic concept of emancipation of women as it is proposed by Bint al-Shati (1913-1998), an Egyptian specialist of Qur'anic exegesis, will illustrate her exegetical method. thereafter, some difficulties of her interpretation will be raised, shedding light on contradictions that her exegesis, which seeks to be both Islamic and modern, cannot avoid.

Genetic algorithms for continuous optimization problems - a concept of parameter-space size adjustment

The concept of parameter-space size adjustment is pn,posed in order to enable successful application of genetic algorithms to continuous optimization problems. Performance of genetic algorithms with six different combinations of selection and reproduction mechanisms, with and without parameter-space size adjustment, were severely tested on eleven multiminima test functions. An algorithm with the best performance was employed for the determination of the model parameters of the optical constants of Pt, Ni and Cr.

An Economic Analysis of the Legal Concept of Trustees' Power of Investment

Authorised trustee status is a legal concept which has economic implications; one of the major implications is that it assists in the direction of investment funds into particular securities and areas of the economy. The concept of authorised trustee status, while attempting to achieve specific outcomes for the beneficiaries of trusts cannot be relied upon to secure these results. Economic analysis of the role of the trustee maintains that this role is one of portfolio manager; a role which is complex but which is explicable in terms of definable procedures and practices. The role of trustee as portfolio manager is one which requires greater financial knowledge than can be assumed is possessed by all trustees. The trustee as portfolio manager is required to maintain a review of decisions make under powers to invest trust assets. A solution to the problem of authorised trustee status is proposed. The solution takes two parts: the first is the adoption of the prudent person approach but with the codification of duties of the trustee and the explicit listing of the factors that a trustee should consider in using the investment powers. The second part of the proposed solution is to link the investment powers of trustees to the best practice features of securities advisers who are now licensed by a regulatory body, the Australian Securities and Investment Commission.

Lexicographic decomposition of chains and the concept of a planar chain

In an earlier paper [Journal of Mathematical Economics, 37 (2002) 17-38], we proved that if a preference relation on a commodity space is non-representable by a real-valued function then that chain is necessarily a long chain, a planar chain, an Aronszajn-like chain or a Souslin chain. In this paper, we study the class of planar chains, the simplest example of which is the Debreu chain (R-2, <(l)). (C) 2002 Elsevier Science B.V. All rights reserved.

Identity and the concept of the West: the case of Brazil and India

This study aims to provide insights about how Brazil and India view and relate to the concept of the West, and how this affects their identity and foreign policy. Both countries' notions about the West are the subject of lively domestic discussion both in academia and the media, reflecting the struggle these countries find themselves in to define their identity as they rise. I argue that the concept of the West serves, in both Brazil and India, as a crucial concept to articulate their own identity-by a complex combination of criticizing, distancing itself from, or attempting to emulate the West.

REENGINEERING THE CONCEPT OF URBAN CARS: A CASE STUDY

Based on a previously developed mathematical model for fuel consumption of a modular car, here we discuss the cross impacts of engineering scenarios vs. flexibility in use for modular vehicle architectures to achieve the reduction of CO2 emissions targeted by the European Union, in 2009. A systems perspective is adopted in conceptualizing a modular architecture of vehicles. From a theoretical viewpoint, we found modular architecture of vehicles a potential design strategy to minimize fuel inefficiencies and, thus, a strategy for design for environment.

Broad and restricted scope of the concept of civil service: a multipolarização do conceito de publica nos modelos hibricos. A capacidade transformadora dos memorados de entendimento: Portugal e Irlanda

Analise do conceito de Função Publica, identificando, á partida, uma dicotomia conceptual, entre um modelo marcadamente continental(broad concept of civil service) e um modelo restrito(restricted scope of the concept of civil service), característico dos países anglo-saxónicos, aflorando a reforma da Administração Publica, na senda da New Public Management, como o caminho para a afirmação de modelos híbridos, com características de laboralização da Função Publica e de flexisegurança, que surgem como consequência da pulverização daquela dicotomia, revelando uma miscigenação entre os modelos iniciais e elementos externos, de acordo com as idiossincrasias de cada país. Posterior estudo de caso, versando sobre Portugal e a Irlanda , dois países que, são contrario do que a tradição anglo- saxónica da Irlanda faria adivinhar, partilham um conceito amplo de Função Publica(broad concept of Civil Service), apoiado num sistema de carreira(carrear sytem). Percorrerem, quase em simultâneo, o caminho de um regate económico-financeiro desenvolvido pelo Fundo Monetário Internacional, Banco Central Europeu e Comissão Europeia. Procurara investiga-se se o acordo firmado entre os dois países e a Troika, materializado nos respectivos Memorando de Entendimento e sucessivas revisões, no período compreendido entre 16 de Dezembro de 2010 e 31 de Dezembro de 2012, introduziu modificações nos respectivos modelos de Função Publica, designadamente forçando-os a uma aproximação do restricted scope of the concept of Civil Service e, com isso, projectando-os para a adopção de modelos híbridos.