STEM: Challenges and opportunities for mathematics education

Climbing Mountains, Building Bridges is a rich theme for exploring some of the “challenges, obstacles, links, and connections” facing mathematics education within the current STEM climate (Science, Technology, Engineering and Mathematics). This paper first considers some of the issues and debates surrounding the nature of STEM education, including perspectives on its interdisciplinary nature. It is next argued that mathematics is in danger of being overshadowed, in particular by science, in the global urgency to advance STEM competencies in schools and the workforce. Some suggestions are offered for lifting the profile of mathematics education within an integrated STEM context, with examples drawn from modelling with data in the sixth grade.

Populations of models, experimental designs and coverage of parameter space by Latin Hypercube and Orthogonal Sampling

In this paper we have used simulations to make a conjecture about the coverage of a t-dimensional subspace of a d-dimensional parameter space of size n when performing k trials of Latin Hypercube sampling. This takes the form P(k,n,d,t) = 1 - e^(-k/n^(t-1)). We suggest that this coverage formula is independent of d and this allows us to make connections between building Populations of Models and Experimental Designs. We also show that Orthogonal sampling is superior to Latin Hypercube sampling in terms of allowing a more uniform coverage of the t-dimensional subspace at the sub-block size level. These ideas have particular relevance when attempting to perform uncertainty quantification and sensitivity analyses.

Theorising the impacts of digitally mediated social interaction on diasporic identity formation: A case of Chinese diaspora in Australia

With the scope of Chinese diaspora in Australia, this paper theorises the impacts of digitally mediated social interaction on diasporic identity formation in the new media landscape. People’s identity is the outcome of their social interactions with other individuals. In the new media landscape, digital media technologies are changing the way in which people communicate with others. On one hand, space and time are unprecedentedly compressed by media technologies so people can maintain more frequent and instant connections with others than before. On the other hand, the digital media technologies have constructed a virtual social space that might withdraw people from their physical social interactions. As we witness today, our social interactions are increasing digitally mediated, in the forms of posts and comments in social network sites, as well as the messages in social apps. As to the diasporic groups, this new media landscape is presenting a challenge to their identity formation. They physically live in the host countries but still keep close social and cultural connections with their homelands. Facilitated by digital media technologies, they are facing two platforms in which they can practice different identity performances: one is the digitally mediated social network; the other is the physical social network. In the case of Chinese diaspora, the situation is more complex due to the language factor and media censorship in Mainland China, which will be articulated in the main text. This paper aims to fill a gap between media studies and diaspora research. Most of existing research on the relationship between diasporic identity and media primarily focuses on the development of ethnic media institutions, and the production and consumption of ethnic media in the pre-digital media context. However, the process of globalisation and digital media technologies are increasing the homogeneity and hybridity of media content worldwide. In this new context, attributing the formation of different identities to the consumption of media content is arguable to some extent. Therefore, the overlapped area of new media studies and diaspora research still has space deserves further investigation.

The bias and assumptions in the Aboriginal and Torres Strait Islander Education Action Plan

This presentation argues that “genuine” engagement and consultation is required where Indigenous voice is included within the policy development process for “true” progress to be achieved. With the ever increasing engagement of Aboriginal and Torres Strait Islander people in the decision making processes of Indigenous education, it is anticipated that there will be provision of opportunities for better outcomes and a greater acceptance of the policy within community (Department of Prime Minister and Cabinet, 2014). This presentation is derived from a larger project where the Aboriginal and Torres Strait Islander Education Action Plan (MCEECDYA, 2011) was critically analysed using Fairclough’s (2001) Critical Discourse Analysis framework and Rigney’s (1999) Indigenist Research Principles. Within this study, the underlying assumptions and bias identified within the policy and how it positions Aboriginal and Torres Strait Islander people were articulated. The major findings that emerged from the data included: - a) the homogenous grouping of Aboriginal and Torres Strait Islander people; - b) the maintenance of the prevalent dominant ideology within policy, and finally; - c) the expectation by the power elite of increased engagement and connections by Aboriginal and Torres Strait Islander peoples without consideration of the detrimental effects of past policies and reforms.

A critical analysis of the Aboriginal and Torres Strait Islander Education Action Plan

This study involves the analysis of one of the most recent Indigenous Education policies, the Aboriginal and Torres Strait Islander Education Action Plan 2010-2014 (MCEECDYA, 2011). It examines how the language used within policy positions Aboriginal and Torres Strait Islander peoples. Articulating Rigney's (1999) Indigenist Research Principles with Fairclough's (2001) Critical Discourse Analysis provides a platform for critical dialogues about policy decision-making. In doing so, this articulation enables and emphasises the need for potential policy revision to contribute to the Aboriginal and Torres Strait Islander struggle for self-determination.

Probing the Neutral Edge Modes in Transport across a Point Contact via Thermal Effects in the Read-Rezayi Non-Abelian Quantum Hall States

Non-Abelian quantum Hall states are characterized by the simultaneous appearance of charge and neutral gapless edge modes, with the structure of the latter being intricately related to the existence of bulk quasiparticle excitations obeying non-Abelian statistics. Here we propose a scenario for detecting the neutral modes by having two point contacts in series separated by a distance set by the thermal equilibration length of the charge mode. We show that by using the first point contact as a heating device, the excess charge noise measured at the second point contact carries a nontrivial signature of the presence of the neutral mode. We also obtain explicit expressions for the thermal conductance and corresponding Lorentz number for transport across a quantum point contact between two edges held at different temperatures and chemical potentials.

The post-illumination pupil response of melanopsin expressing retinal ganglion cells

Purpose The post-illumination pupil response (PIPR) has been quantified in the literature by four metrics. The spectral sensitivity of only one metric is known and this study quantifies the other three. To optimize the measurement of the PIPR in humans, we also determine the stimulus protocol producing the largest PIPR, the duration of the PIPR, and the metric(s) with the lowest coefficient of variation. Methods The consensual pupil light reflex (PLR) was measured with a Maxwellian view pupillometer (35.6° diameter stimulus). - Experiment 1: Spectral sensitivity of four PIPR metrics [plateau, 6 s, area under curve (AUC) early and late recovery] was determined from a criterion PIPR (n = 2 participants) to a 1 s pulse at five wavelengths (409-592nm) and fitted with Vitamin A nomogram (ƛmax = 482 nm). - Experiment 2: The PLR was measured in five healthy participants [29 to 42 years (mean = 32.6 years)] as a function of three stimulus durations (1 s, 10 s, 30 s), five irradiances spanning low to high melanopsin excitation levels (retinal irradiance: 9.8 to 14.8 log quanta.cm-2.s-1), and two wavelengths, one with high (465 nm) and one with low (637 nm) melanopsin excitation. Intra and inter-individual coefficients of variation (CV) were calculated. Results The melanopsin (opn4) photopigment nomogram adequately described the spectral sensitivity derived from all four PIPR metrics. The largest PIPR amplitude was observed with 1 s short wavelength pulses (retinal irradiance ≥ 12.8 log quanta.cm-2.s-1). Of the 4 PIPR metrics, the plateau and 6 s PIPR showed the least intra and inter-individual CV (≤ 0.2). The maximum duration of the sustained PIPR was 83.4 ± 48.0 s (mean ± SD) for 1 s pulses and 180.1 ± 106.2 s for 30 s pulses (465 nm; 14.8 log quanta.cm-2.s-1). Conclusions All current PIPR metrics provide a direct measure of intrinsic melanopsin retinal ganglion cell function. To measure progressive changes in melanopsin function in disease, we recommend that the intrinsic melanopsin response should be measured using a 1 s pulse with high melanopsin excitation and the PIPR should be analyzed with the plateau and/or 6 s metrics. That the PIPR can have a sustained constriction for as long as 3 minutes, our PIPR duration data provide a baseline for the selection of inter-stimulus intervals between consecutive pupil testing sequences.

Melanopsin ganglion cell function in early age-related macular degeneration

Purpose Melanopsin-expressing retinal ganglion cells (mRGCs) have non-image forming functions including mediation of the pupil light reflex (PLR). There is limited knowledge about mRGC function in retinal disease. Initial retinal changes in age-related macular degeneration (AMD) occur in the paracentral region where mRGCs have their highest density, making them vulnerable during disease onset. In this cross-sectional clinical study, we measured the PLR to determine if mRGC function is altered in early stages of macular degeneration. Methods Pupil responses were measured in 8 early AMD patients (AREDS 2001 classification; mean age 72.6 ± 7.2 years, 5M, and 3F) and 12 healthy control participants (mean age 66.6 ± 6.1 years, 8M and 4F) using a custom-built Maxwellian-view pupillometer. Stimuli were 0.5 Hz sinewaves (10 s duration, 35.6° diameter) of short wavelength light (464nm, blue; retinal irradiance = 14.5 log quanta.cm-2.s-1) to produce high melanopsin excitation and of long wavelength light (638nm, red; retinal irradiance = 14.9 log quanta.cm-2.s-1), to bias activation to outer retina and provide a control. Baseline pupil diameter was determined during a 10 s pre-stimulus period. The post illumination pupil response (PIPR) was recorded for 40 s. The 6 s PIPR and maximum pupil constriction were expressed as percentage baseline (M ± SD). Results The blue PIPR was significantly less sustained (p<0.01) in the early AMD group (75.49 ± 7.88%) than the control group (58.28 ± 9.05%). The red PIPR was not significantly different (p>0.05) between the early AMD (84.79 ± 4.03%) and control groups (82.01 ± 5.86%). Maximum constriction amplitude in the early AMD group for blue (43.67 ± 6.35%) and red (48.64 ± 6.49%) stimuli were not significantly different to the control group for blue (39.94 ± 3.66%) and red (44.98 ± 3.15%) stimuli (p>0.05). Conclusions These results are suggestive of inner retinal mRGC deficits in early AMD. This non-invasive, objective measure of pupil responses may provide a new method for quantifying mRGC function and monitoring AMD progression.

Automated topometric graph generation from floor plan analysis

The world is rich with information such as signage and maps to assist humans to navigate. We present a method to extract topological spatial information from a generic bitmap floor plan and build a topometric graph that can be used by a mobile robot for tasks such as path planning and guided exploration. The algorithm first detects and extracts text in an image of the floor plan. Using the locations of the extracted text, flood fill is used to find the rooms and hallways. Doors are found by matching SURF features and these form the connections between rooms, which are the edges of the topological graph. Our system is able to automatically detect doors and differentiate between hallways and rooms, which is important for effective navigation. We show that our method can extract a topometric graph from a floor plan and is robust against ambiguous cases most commonly seen in floor plans including elevators and stairwells.

Intra and Inter-Molecular Communications Through Protein Structure Network

Communication within and across proteins is crucial for the biological functioning of proteins. Experiments such as mutational studies on proteins provide important information on the amino acids, which are crucial for their function. However, the protein structures are complex and it is unlikely that the entire responsibility of the function rests on only a few amino acids. A large fraction of the protein is expected to participate in its function at some level or other. Thus, it is relevant to consider the protein structures as a completely connected network and then deduce the properties, which are related to the global network features. In this direction, our laboratory has been engaged in representing the protein structure as a network of non-covalent connections and we have investigated a variety of problems in structural biology, such as the identification of functional and folding clusters, determinants of quaternary association and characterization of the network properties of protein structures. We have also addressed a few important issues related to protein dynamics, such as the process of oligomerization in multimers, mechanism on protein folding, and ligand induced communications (allosteric effect). In this review we highlight some of the investigations which we have carried out in the recent past. A review on protein structure graphs was presented earlier, in which the focus was on the graphs and graph spectral properties and their implementation in the study of protein structure graphs/networks (PSN). In this article, we briefly summarize the relevant parts of the methodology and the focus is on the advancement brought out in the understanding of protein structure-function relationships through structure networks. The investigations of structural/biological problems are divided into two parts, in which the first part deals with the analysis of PSNs based on static structures obtained from x-ray crystallography. The second part highlights the changes in the network, associated with biological functions, which are deduced from the network analysis on the structures obtained from molecular dynamics simulations.

Ivanov-mistik : Okkul'tnye motivy v poèzii i proze Vjačeslava Ivanova (1907-1919)

The subject of this work is the mysticism of Russian poet, critic and philosopher Vjacheslav Ivanov (1866-1949). The approach adopted involves the textual and discourse analysis and findings of the history of ideas. The subject has been considered important because of Ivanov's visions of his dead wife, writer Lydia Zinovieva-Annibal, which were combined with audible messages ("automatic writings"). Several automatic writings and descriptions of the visions from Ivanov's archive collections in St.Petersburg and Moscow are presented in this work. Right after the beginning of his hallucinations in the autumn of 1907, Ivanov was totally captivated by the theosophical ideas of Anna Mintslova, the background figure for this work. Anna Mintslova, a disciple of Rudolf Steiner's Esoteric School, offered Ivanov the theosophical concept of initiation to interpret paranormal phenomena in his intimate life. The work is divided into three main chapters, an introduction and aconclusion. The first chapter is called The Mystical Person: Anthropology of Ivanov and describes the role of the inner "Higher Self" in Ivanov's views on the nature of human consciousness. The political implications of the concepts, "mystical anarchism" and "sobornost" (religious unity) are also examined. The acquaintance and contacts with Anna Mintslova during 1906-1907 gave a framework to Ivanov's search for an organic society and personal religious experience. The second part, Mystics of Initiation and Visionary Aesthetics describes the influence of the initiation concept on Ivanov's aesthetic views (mainly "realistic symbolism"). On the other hand, some connections between the imagery of his visions and symbols in his verses of that period are established. Since Mintslova represented the ideas of Rudolf Steiner in Russia, several symbols shared by Steiner and Ivanov ("rose", "rose and cross") have been another subject of investigation. The preference for strict verse form in the lyrics of Ivanov's visionary period is interpreted as an attempt to place his own poetic creation within two traditions, a mystical and literary one. The third part of this work, Mystics of Hope and Terror, examines Ivanov's conception of Russia in connection with Mintslova's ideas of occult danger from the East. Ivanov's view of the "Russian idea" and his nationalistic idea during World War I are considered as a representation of the fear of the danger. Ivanov's interpretation of the October revolution is influenced by the theosophical concept of the "keeper of the threshold" which occurs in the context of the discourse of occult danger.

The Art of Sympathy : Forms of Moral and Emotional Persuasion in Fiction

"The Art of Sympathy: Forms of Moral and Emotional Persuasion" in Fiction is an interdisciplinary study that looks closely at the ways that stories evoke sympathy, and the significance of this emotion for the development of moral attitudes and awareness. By linking readers' emotional responses to fiction with the potential impact of such responses on "the moral imagination," the study builds on empirical research conducted by literary scholars and psychologists into the emotional effects of reading fiction, as well as social psychological research into the connections between empathy/sympathy and moral development. I first investigate the dynamics of readers beliefs regarding characters in fictional narratives, and the nature of the emotions that they may experience as a result of those beliefs. The analysis demonstrates that there are important similarities between real emotions and emotions generated by fiction. Recognizing these similarities, I claim, can help us to conceptualize the nature of sympathetic responses to fictional characters. Building on these assertions, I then draw on research from social psychology and philosophy to develop a comprehensive definition of sympathy and to clarify the ways in which sympathy operates, both in people s daily lives and in readers sympathetic responses to fictional characters. Having established this definition and delineated its practical implications, I then examine how particular stories, through a variety of narrative techniques, persuade readers to feel sympathy for characters who are unsympathetic in certain ways. In order to verify my claims about the impact of these stories on readers emotions, I also review the results of tests that I conducted with nearly 200 adolescent readers. Through these tests, which were constructed and scored according to methods prevalent in social psychological research, it was determined that a majority of readers felt sympathy for the protagonists in two of the stories included in the study. These results were combined with data from an additional test, a standard measure of empathy and sympathy in the field of social psychology. The cross-tabulation of these results suggests that there was not a strong connection between readers responses and their general tendencies to feel sympathy for others. This finding would appear to support my hypotheses regarding the sympathetic persuasiveness of the stories in question. In light of these results, finally, I consider the potential contribution that fiction can make to adolescent emotional and moral development and the implications of that potential for future language arts curricula in the schools. In particular, I suggest the pedagogical importance of providing adolescents with opportunities to engage with the lives of fictional characters, and especially to experience feelings of sympathy for individuals towards whom they ordinarily might feel aversion.

Talking About Time in Russian and Finnish

In this study I look at what people want to express when they talk about time in Russian and Finnish, and why they use the means they use. The material consists of expressions of time: 1087 from Russian and 1141 from Finnish. They have been collected from dictionaries, usage guides, corpora, and the Internet. An expression means here an idiomatic set of words in a preset form, a collocation or construction. They are studied as lexical entities, without a context, and analysed and categorized according to various features. The theoretical background for the study includes two completely different approaches. Functional Syntax is used in order to find out what general meanings the speaker wishes to convey when talking about time and how these meanings are expressed in specific languages. Conceptual metaphor theory is used for explaining why the expressions are as they are, i.e. what kind of conceptual metaphors (transfers from one conceptual domain to another) they include. The study has resulted in a grammatically glossed list of time expressions in Russian and Finnish, a list of 56 general meanings involved in these time expressions and an account of the means (constructions) that these languages have for expressing the general meanings defined. It also includes an analysis of conceptual metaphors behind the expressions. The general meanings involved turned out to revolve around expressing duration, point in time, period of time, frequency, sequence, passing of time, suitable time and the right time, life as time, limitedness of time, and some other notions having less obvious semantic relations to the others. Conceptual metaphor analysis of the material has shown that time is conceptualized in Russian and Finnish according to the metaphors Time Is Space (Time Is Container, Time Has Direction, Time Is Cycle, and the Time Line Metaphor), Time Is Resource (and its submapping Time Is Substance), Time Is Actor; and some characteristics are added to these conceptualizations with the help of the secondary metaphors Time Is Nature and Time Is Life. The limits between different conceptual metaphors and the connections these metaphors have with one another are looked at with the help of the theory of conceptual integration (the blending theory) and its schemas. The results of the study show that although Russian and Finnish are typologically different, they are very similar both in the needs of expression their speakers have concerning time, and in the conceptualizations behind expressing time. This study introduces both theoretical and methodological novelties in the nature of material used, in developing empirical methodology for conceptual metaphor studies, in the exactness of defining the limits of different conceptual metaphors, and in seeking unity among the different facets of time. Keywords: time, metaphor, time expression, idiom, conceptual metaphor theory, functional syntax, blending theory

Language change as an evolutionary process

In the thesis it is discussed in what ways concepts and methodology developed in evolutionary biology can be applied to the explanation and research of language change. The parallel nature of the mechanisms of biological evolution and language change is explored along with the history of the exchange of ideas between these two disciplines. Against this background computational methods developed in evolutionary biology are taken into consideration in terms of their applicability to the study of historical relationships between languages. Different phylogenetic methods are explained in common terminology, avoiding the technical language of statistics. The thesis is on one hand a synthesis of earlier scientific discussion, and on the other an attempt to map out the problems of earlier approaches in addition to finding new guidelines in the study of language change on their basis. Primarily literature about the connections between evolutionary biology and language change, along with research articles describing applications of phylogenetic methods into language change have been used as source material. The thesis starts out by describing the initial development of the disciplines of evolutionary biology and historical linguistics, a process which right from the beginning can be seen to have involved an exchange of ideas concerning the mechanisms of language change and biological evolution. The historical discussion lays the foundation for the handling of the generalised account of selection developed during the recent few decades. This account is aimed for creating a theoretical framework capable of explaining both biological evolution and cultural change as selection processes acting on self-replicating entities. This thesis focusses on the capacity of the generalised account of selection to describe language change as a process of this kind. In biology, the mechanisms of evolution are seen to form populations of genetically related organisms through time. One of the central questions explored in this thesis is whether selection theory makes it possible to picture languages are forming populations of a similar kind, and what a perspective like this can offer to the understanding of language in general. In historical linguistics, the comparative method and other, complementing methods have been traditionally used to study the development of languages from a common ancestral language. Computational, quantitative methods have not become widely used as part of the central methodology of historical linguistics. After the fading of a limited popularity enjoyed by the lexicostatistical method since the 1950s, only in the recent years have also the computational methods of phylogenetic inference used in evolutionary biology been applied to the study of early language history. In this thesis the possibilities offered by the traditional methodology of historical linguistics and the new phylogenetic methods are compared. The methods are approached through the ways in which they have been applied to the Indo-European languages, which is the most thoroughly investigated language family using both the traditional and the phylogenetic methods. The problems of these applications along with the optimal form of the linguistic data used in these methods are explored in the thesis. The mechanisms of biological evolution are seen in the thesis as parallel in a limited sense to the mechanisms of language change, however sufficiently so that the development of a generalised account of selection is deemed as possibly fruiful for understanding language change. These similarities are also seen to support the validity of using phylogenetic methods in the study of language history, although the use of linguistic data and the models of language change employed by these models are seen to await further development.

Murtuva säätyvalta, kestävä eliitti : Senaattori Lennart Gripenbergin sukupiiri ja sääty-yhteiskunnan muodonmuutos

This study examines the transformation of the society of estates in the Finnish Grand Duchy through the case study of Senator Lennart Gripenberg and his family circle. While national borders and state structures changed, the connections between old ruling elite families remained intact as invisible family networks, ownership relations, economic collaboration and power of military families. These were the cornerstones of trust, which helped to strengthen positions gained in society. Also, these connections often had a central if unperceivable impact on social development and modernization. Broadly speaking, the intergenerational social reproduction made it possible for this network of connections to remain in power and, as an imperceptible factor, also influenced short-term developments in the long run. Decisions which in the short term appeared unproductive, would in the long run produce cumulative immaterial and material capital across generations as long-term investments. Social mobility, then, is a process which clearly takes several generations to become manifest. The study explores long-term strategies of reproducing and transferring the capital accumulated in multinational elite networks. Also, what was the relationship of these strategies to social change? For the representatives of the military estate the nobility and for those men of the highest estates who had benefited from military training, this very education of a technical-military nature was the key to steering, controlling and dealing with the challenges following the industrial breakthrough. The disintegration of the society of estates and the rising educational standards also increased the influence of those professionals previously excluded, which served to intensify competition for positions of power. The family connections highlighted in this study overlapped in many ways, working side by side and in tandem to manage the economic and political life in Finland, Russia and Sweden. The analysis of these ties has opened up a new angle to economic co-operation, for example, as seen in the position of such family networks not only in Finnish, but also Swedish and Russian corporations and in the long historical background of the collaboration. This also highlights in a new way the role of women in transferring the cumulative social capital and as silent business partners. The marriage strategies evident in business life clearly had an impact on the economic life. The collaborative networks which transcended generations, national boundaries and structures also uncover, as far as the elites are concerned, serious problems in comparative studies conducted from purely national premises. As the same influential families and persons in effect held several leading positions in society, the line would blur between public and invisible uses of power. The power networks thus aimed to build monopolies to secure their key positions at the helm. This study therefore examines the roles of Lennart Gripenberg senator, business executive, superintendent of the Department of Industry, factory inspector, and founding member of industrial interest groups as part of the reproduction strategies of the elite. The family and other networks of the powerful leaders of society, distinguished by social, economic and cultural capital, provided a solid backdrop for the so-called old elites in their quest for strategies to reproducing power in a changing world. Crucially, it was easier for the elites to gain expertise to steer the modernization process and thereby secure for the next generation a leading position in society, something that they traditionally, too, had had the greatest interest in.