The Students’ Perspective of Geometry Teaching and Learning in High School

The purpose of this article is to present the results obtained from a questionnaire applied to Costa Rican high school students, in order to know their perspectives about geometry teaching and learning. The results show that geometry classes in high school education have been based on a traditional system of teaching, where the teacher presents the theory; he presents examples and exercises that should be solved by students, which emphasize in the application and memorization of formulas. As a consequence, visualization processes, argumentation and justification don’t have a preponderant role. Geometry is presented to students like a group of definitions, formulas, and theorems completely far from their reality and, where the examples and exercises don’t possess any relationship with their context. As a result, it is considered not important, because it is not applicable to real life situations. Also, the students consider that, to be successful in geometry, it is necessary to know how to use the calculator, to carry out calculations, to have capacity to memorize definitions, formulas and theorems, to possess capacity to understand the geometric drawings and to carry out clever exercises to develop a practical ability.

Tuning the valence of the cerium center in (Na)phthalocyaninato and porphyrinato cerium double-deckers by changing the nature of the tetrapyrrole ligands

A series of 7 cerium double-decker complexes with various tetrapyrrole ligands including porphyrinates, phthalocyaninates, and 2,3-naphthalocyaninates have been prepared by previously described methodologies and characterized with elemental analysis and a range of spectroscopic methods. The molecular structures of two heteroleptic \[(na)phthalocyaninato](porphyrinato) complexes have also been determined by X-ray diffraction analysis which exhibit a slightly distorted square antiprismatic geometry with two domed ligands. Having a range of tetrapyrrole ligands with very different electronic properties, these compounds have been systematically investigated for the effects of ligands on the valence of the cerium center. On the basis of the spectroscopic (UV−vis, near-IR, IR, and Raman), electrochemical, and structural data of these compounds and compared with those of the other rare earth(III) counterparts reported earlier, it has been found that the cerium center adopts an intermediate valence in these complexes. It assumes a virtually trivalent state in cerium bis(tetra-tert-butylnaphthalocyaninate) as a result of the two electron rich naphthalocyaninato ligands, which facilitate the delocalization of electron from the ligands to the metal center. For the rest of the cerium double-deckers, the cerium center is predominantly tetravalent. The valences (3.59−3.68) have been quantified according to their LIII-edge X-ray absorption near-edge structure (XANES) profiles.

Tangible interfaces to explain Gaudi's use of ruled-surface geometries

This paper summarises the development of a machine-readable model series for explaining Gaudi's use of ruled surface geometry in the Sagrada Familia in Barcelona, Spain. The first part discusses the modeling methods underlying the columns of the cathedral and the techniques required to translate them into built structures. The second part discusses the design and development of a tangible machine-readable model to explain column-modeling methods interactively in educational contexts such as art exhibitions. It is designed to explain the principles underlying the column design by means of physical interaction without using mathematical terms or language.

Six Curses

This creative writing work was selected for publication in a bi-lingual anthology, published in China, as suitable to be culturally applicable to both Chinese and Australian social contexts. The poem raises six social/ethical issues and comments on them. It is based on research into Chinese traditional poetry that focuses on an image, and after each image this poem provides an ethical comment. It is based in the ethical hypothesis that moral evaluation of individual and social behaviour can not be achieved without ethical judgement which questions social norms. In particular, the poem questions the validity of fundamentalism – the belief in religious, scientific and moral absolutes. This is a key issue in contemporary research into the effect of religion on politics. It also draws on contemporary psychological theory, especially the concept of narcissism. The sociological basis of the work is in drawing parallels between eastern and western ethical issues, stressing similarity by inference. The imagery on which the poem is based selects objects such a single ‘stone’ that take on symbolic connotations common to both Australian and Chinese readers. This is innovative, since very little creative writing has been dome to address commonalities between Australian and Chinese ethical thinking, especially by adopting Chinese motifs.

More and more lawyers but still no judges

This paper discusses some parallels and contrasts between the legal roads to war and suggest that the case is stronger than ever for adjudication of the matter before an independent tribunal where the competing views can be tested.

Existential experience : the unfolding

This paper reports on a project concerned with the relationship between person and space in the context of achieving a contemplative state. The need for such a study originated with the desire to contribute to the design of multicultural spaces which could be used for a range of activities including prayer and meditation. Given that the words ‘prayer’ and ‘meditation’ are highly value-laden and potentially alienating for some people, it was decided to use the more accessible term ‘contemplative’. While the project is still underway,several findings have emerged that can be reported on and are of relevance to the conference both methodologically and substantively. Informed by phenomenological methodology, data were collected from a diverse group of people using photo-elicitation and interviewing. The technique of photo-elicitation proved to be highly effective in helping people to reveal their everyday lived experience of contemplative spaces. This methodological aspect of the project is described more fully in the paper. The initial stage of analysis produced two categories of data: varying conceptions of contemplation and contemplative space; and, common understandings of contemplation and contemplative space. From this it was found that achieving a state of contemplation involves both the person and the environment in a dialectic process of unfolding. The unfolding has various physical, psycho-social, and existential dimensions or qualities which operate sequentially and simultaneously. In the paper, these are labelled:the unfolding of the core; distinction; manifestation; cleansing; creation; and sharing, and have parallels with Mircea Eliade’s 1959 definition of sacred as 'something that manifests itself, shows itself, as something wholly different from the profane’. It also connects with the views of Nishida Kitaro from the Kyoto School of Philosophy on the theme of ‘absolute nothingness’: ‘the body-mind is dropped off and we are united with the consciousness of absolute nothingness’ (Kitaro in Heisig, 2001, p. 169). According to Marion (2005), ‘nothingness’ is defined by givenness. In the paper, this fold of givenness is interpreted in the context of the qualities of the environment that accomplish the act of coming forward into visibility through the dialectic relationship with a person. (Eliade, 1959, Heisig, 2001, Marion, 2002)

Improvements to the design of Litesteel Beams undergoing lateral distortional buckling

An Australian manufacturer has recently developed an innovative group of cold-formed steel hollow flange sections, one of them is LiteSteel Beams (LSBs). The LSB sections are produced from thin and high strength steels by a patented manufacturing process involving simultaneous cold-forming and dual electric resistance welding. They have a unique geometry consisting of rectangular hollow flanges and a relatively slender web. The LSB flexural members are subjected to lateral distortional buckling effects and hence their capacities are reduced for intermediate spans. The current design rules for lateral distortional buckling were developed based on the lower bound of numerical and experimental results. The effect of LSB section geometry was not considered although it could influence the lateral distortional buckling performance. Therefore an accurate finite element model of LSB flexural members was developed and validated using experimental and finite strip analysis results. It was then used to investigate the effect of LSB geometry. The extensive moment capacity data thus developed was used to develop improved design rules for LSBs with one of them considering the LSB geometry effects through a modified slenderness parameter. The use of the new design rules gave higher lateral distortional buckling capacities for LSB sections with intermediate slenderness. The new design rule is also able to accurately predict the lateral distortional buckling moment capacities of other hollow flange beams (HFBs).

Tris[4,4,4-trifluoro-1-(2-thienyl)butane-1,3-dionato]aluminium(III)-tris[4,4,4-trifluoro-1-(2-thienyl)butane-1,3-dionato]iron(III) (3/1)

In the title compound, [Al(C8H4F3O2S)3]3[Fe(C8H4F3O2S)3], the metal centre is statistically occupied by AlIII and FeIII cations in a 3:1 ratio. The metal centre is within an octahedral O6 donor set defined by three chelating substituted acetoacetonate anions. The ligands are arranged around the periphery of the molecule with a mer geometry of the S atoms.

Modelling ideal turbulent vortex breakdown

In this computational study we investigate the role of turbulence in ideal axisymmetric vortex breakdown. A pipe geometry with a slight constriction near the inlet is used to stabilise the location of the breakdown within the computed domain. Eddy-viscosity and differential Reynolds stress models are used to model the turbulence. Changes in upstream turbulence levels, flow Reynolds and Swirl numbers are considered. The different computed solutions are monitored for indications of different breakdown flow configurations. Trends in vortex breakdown due to turbulent flow conditions are identified and discussed.

Economic issues in funding and supplying public sector information

In May 2005, a research team began to investigate whether designing and implementing a whole-of-government information licensing framework was possible. This framework was needed to administer copyright in relation to information produced by the government and to deal properly with privately-owned copyright on which government works often rely. The outcome so far is the design of the Government Information Licensing Framework (GILF) and its gradual uptake within a number of Commonwealth and State government agencies. However, licensing is part of a larger issue in managing public sector information (PSI); and it has important parallels with the management of libraries and public archives. Among other things, managing the retention and supply of PSI requires an ability to search and locate information, ability to give public access to the information legally, and an ability to administer charges for supplying information wherever it is required by law. The aim here is to provide a summary overview of pricing principles as they relate to the supply of PSI.

Measuring creative employment : implications for innovation policy

Both creative industries and innovation are slippery fish to handle conceptually, to say nothing of their relationship. This paper faces, first, the problems of definitions and data that can bedevil clear analysis of the creative industries. It then presents a method of data generation and analysis that has been developed to address these problems while providing an evidence pathway supporting the movement in policy thinking from creative output (through industry sectors) to creative input to the broader economy (through a focus on occupations/activity). Facing the test of policy relevance, this work has assisted in moving the ongoing debates about the creative industries toward innovation thinking by developing the concept of creative occupations as input value. Creative inputs as 'enablers' arguably has parallels with the way ICTs have been shown to be broad enablers of economic growth. We conclude with two short instantiations of the policy relevance of this concept: design as a creative input; and creative human capital and education.

Application of bag sampling technique for particle size distribution measurements

Bag sampling techniques can be used to temporarily store an aerosol and therefore provide sufficient time to utilize sensitive but slow instrumental techniques for recording detailed particle size distributions. Laboratory based assessment of the method were conducted to examine size dependant deposition loss coefficients for aerosols held in VelostatTM bags conforming to a horizontal cylindrical geometry. Deposition losses of NaCl particles in the range of 10 nm to 160 nm were analysed in relation to the bag size, storage time, and sampling flow rate. Results of this study suggest that the bag sampling method is most useful for moderately short sampling periods of about 5 minutes.

‘Small Pricks’ at Lunchtime : Some notes on Botox

Cosmetic enhancement technologies have been subject to extended discussion in sociological literature. Botox, however, seems to have been mostly sidelined in this discussion in favour of more ‘extreme’ forms of cosmetic enhancement, such as those performed under general anaesthetic. In this paper, we suggest the need to further examine Botox as a sociological issue. We do this by highlighting some of the disparities and parallels that Botox shares with the existing literature on cosmetic enhancement technologies.

Dense Correspondence Extraction in Difficult Uncalibrated Scenarios

The relationship between multiple cameras viewing the same scene may be discovered automatically by finding corresponding points in the two views and then solving for the camera geometry. In camera networks with sparsely placed cameras, low resolution cameras or in scenes with few distinguishable features it may be difficult to find a sufficient number of reliable correspondences from which to compute geometry. This paper presents a method for extracting a larger number of correspondences from an initial set of putative correspondences without any knowledge of the scene or camera geometry. The method may be used to increase the number of correspondences and make geometry computations possible in cases where existing methods have produced insufficient correspondences.

Effect of orthokeratology on peripheral aberrations of the eye

Purpose: To investigate the effect of orthokeratology on peripheral aberrations in two myopic volunteers. Methods: The subjects wore reverse geometry orthokeratology lenses overnight and were monitored for 2 weeks of wear. They underwent corneal topography, peripheral refraction (out to ±34° along the horizontal visual field) and peripheral aberration measurements across the 42° × 32° central visual field using a modified Hartmann-Shack aberrometer. Results: Spherical equivalent refraction was corrected for the central 25° of the visual fields beyond which it gradually returned to its preorthokeratology values. There were increases in axial coma, spherical aberration, higher order root mean square aberrations, and total root-mean-squared aberrations (excluding defocus). The rates of change of vertical and horizontal coma across the field changed in sign. Total root mean square aberrations showed a quadratic rate of change across the visual field which was greater subsequent to orthokeratology. Conclusion: Although orthokeratology can correct peripheral relative hypermetropia it induces dramatic increases in higher-order aberrations across the field