English
Problem Solving as a Path to Understanding Mathematics Representations: An Eye-Tracking Study
Little is actually known about how people cognitively process and integrate information when solving complex mathematical problems. In this thesis, eye-tracking was used to examine how people read and integrate information from mathematical symbols and complex formula, with eye fixations being used as a measure of their current focus of attention. Each participant in the studies was presented with a series of stimuli in the form of mathematical problems and their eyes were tracked as they worked through the problem mentally. From these examinations, we were able to demonstrate differences in both the comprehension and problem-solving, with the results suggesting that what information is selected, and how, is responsible for a large portion of success in solving such problems. We were also able to examine how different mathematical representations of the same mathematical object are attended to by students.
Author Keywords: eye-tracking, mathematical notation, mathematical representations, problem identification, problem-solving, symbolism
Laughing to be Citizens: Multiculturalism, Humour, Belonging and the Cultural Productions of Sub-Saharan African Immigrants in Canada
This study will focus on how immigrants from Sub Saharan African (SSA) countries use humour as a tool for integration and belonging (and ultimately citizenship) in Canada. My aim is to investigate, through a detailed analysis of popular culture productions from immigrant communities, the strategies and techniques of humour that immigrants employ as a mode of communication with fellow immigrants, their immediate host community and the governmental authorities of Canada. I am particularly interested in how African immigrants use their oral background and cultural memory in the production of jokes and other humour products as a way of interacting, first with fellow immigrants as the primary audience and recipients of the humour and, second, with Canadian society at large.
Using the 'Signifying' theory of Henry Louis Gates (1988) and Mikhail Bakhtin's (1968) concept of the "Carnivalesque" as the theoretical framework for this study, I argue that immigrants from SSA countries are using humour to question hegemonic regulations that portrays them as victims, while providing alternative narratives of themselves as subjects with human agency. I further postulate that immigrants are taking advantage of the policy of multiculturalism that exists in Canada in a positive manner as an enabler for their humour. In turn, they are using the humour produced to communicate and break down social barriers, while building bridges across communities and social strata. I bolster my arguments with a consideration of humour in three genres of popular culture – literature, standup comedy and film – to show how immigrants rely on their home culture to produce humour in an effort to find belonging in Canada as contributors rather than victims.
This thesis is the first work to examine SSA humour, produced by immigrants from these countries, in the context of their immigration and integration into Canada, and the first to present extended literary criticism of the works of immigrant writers, Tololwa Mollel, Yabome Gilpin-Jackson and Segun Akinlolu. This is also the first study on the comedy of Arthur Simeon, originally from Uganda and the film of Phina Brooks, originally from Nigeria. My analysis apprehends the immigrant voice in the writings and productions of these artists and places their works in conversation with Canadian literary/cultural criticism. Until now, there has been no study of the function of humour produced by African immigrants in Canada. It is my hope that this study will not only fill that gap, but also lay the groundwork for future study in this field that I believe holds a lot of socio-cultural promise, especially in the area of cohesive habitation amongst different ethnic groups.
This study aims to contribute to conversations on immigration and its impact on Canadian society as part of nation-building and national consciousness.
Author Keywords: African Stand up Comedy, Humour, Immigration, Multiculturalism, Popular Culture, Postcolonialism
A Framework for Testing Time Series Interpolators
The spectrum of a given time series is a characteristic function describing its frequency properties. Spectrum estimation methods require time series data to be contiguous in order for robust estimators to retain their performance. This poses a fundamental challenge, especially when considering real-world scientific data that is often plagued by missing values, and/or irregularly recorded measurements. One area of research devoted to this problem seeks to repair the original time series through interpolation. There are several algorithms that have proven successful for the interpolation of considerably large gaps of missing data, but most are only valid for use on stationary time series: processes whose statistical properties are time-invariant, which is not a common property of real-world data. The Hybrid Wiener interpolator is a method that was designed for repairing nonstationary data, rendering it suitable for spectrum estimation. This thesis work presents a computational framework designed for conducting systematic testing on the statistical performance of this method in light of changes to gap structure and departures from the stationarity assumption. A comprehensive audit of the Hybrid Wiener Interpolator against other state-of-the art algorithms will also be explored.
Author Keywords: applied statistics, hybrid wiener interpolator, imputation, interpolation, R statistical software, time series
Shorebird Stopover Ecology and Environmental Change at James Bay, Ontario, Canada
I examined how shorebirds respond to environmental change at a key subarctic migratory bird stopover site, the southwestern coast of James Bay, Ontario, Canada. First, I investigated if the morphology of sandpipers using James Bay during southbound migration has changed compared to 40 years prior. I found shorter, more convex and maneuverable wings for sandpipers in the present-day compared to the historical monitoring period, which supports the hypothesis that wing length change is driven by increases in predation risk. Secondly, I assessed the relationship between migration distance, body condition, and shorebird stopover and migratory decisions. Species that travelled farther distances from James Bay to wintering areas migrated with more characteristics of a time-minimizing migration strategy whereas species that travelled shorter distances migrated with energy minimizing strategies. Body condition impacted length of stay, wind selectivity at departure, groundspeeds, and probability of stopover and detection in North America after departing James Bay. Thirdly, I examined annual variation in dry/wet conditions at James Bay and found that shorebirds had lower body mass in years with moderate drought. In the present-day, drought resulted in lower invertebrate abundance and refuelling rates of shorebirds during stopover, which led to shorter stopover duration for juveniles and a higher probability of stopover outside of James Bay for all groups except white-rumped sandpiper. Finally, I estimated the relative importance of intertidal salt marsh and flat habitats to the diets of small shorebirds and found that semipalmated and white-rumped sandpiper (Calidris pusilla and C. fuscicollis) and semipalmated plover (Charadrius semipalmatus) diets consist of ~ 40 – 75% prey from intertidal marsh habitats, the highest documented in the Western Hemisphere for each species. My research shows that James Bay is of high importance to white-rumped sandpipers, which are unlikely to stop in North America after departing James Bay en route to southern South America. Additionally, intertidal salt marsh habitats (and Diptera larvae) appear particularly important for small shorebirds in the region. My thesis shows that changing environmental conditions, such as droughts, can affect shorebird refuelling and stopover strategies.
Author Keywords: body condition, diet, environmental change, migration, ornithology, stopover ecology
At the Intersection Between History and Fiction in Biography and Autobiography; A Repositioning, Using the Quest for the Historical Jesus as a Case Study
The modern sense of historicism developed over time that brought different textures at the intersection between history and fiction. The life of Jesus of Nazareth, prolifically researched after Herman Reimarus (1694-1768) right until today – a phenomenon known as The Quest for the Historical Jesus – provides an instructive case study for a wider discussion about the intersection between history and fiction in biography and autobiography. As a result of these centuries of Jesuanic research, one can identify a set predictable challenges which life-writing may need to confront. Furthermore, interesting historiographical criteria to detect factual authenticity versus factual inauthenticity for life-writing were also developed. Nevertheless, the depth of disagreement about a well-researched narrative such as the Jesuanic chronicle can eventually feel almost insurmountable. Pessimism, in fact, has become widespread. Thus, this dissertation raises the question: Is it but a vain attempt to search for truth by attempting to draw a sharp line between fiction and history? Hence, the discussion moves to Mikhail Bakhtin whose insistence on dialogism rather than truth seeking provides a more relational approach to appreciating the intersection between history and fiction in biography and autobiography.
Author Keywords: biography, Copernicanism, dialogism, fiction, historicism, monologism
Edward IV, The Woodvilles, and the Politics of Idealism, C. 1464-83
This thesis examines performance and propaganda in the reign of Edward IV and explores the ways in which Edward, his queen Elizabeth Woodville, and her brother Anthony sought to legitimize their newfound positions. It argues that all three sought to 'perform idealism' to bolster their claims to their respective positions, presenting themselves as close to the contemporary ideal figures of king, queen, and nobleman. This view makes Edward's marriage to Elizabeth a deliberate political act, rather than merely a marriage of love, as some have argued. This thesis argues that 'performing idealism' was thus a deliberate strategy deployed by individuals in a precarious social position to justify their privilege. It also examines chivalry and the Order of the Garter under Edward, his foreign policy, the patronage of William Caxton, and the education of Edward V to explore the many ways Edward sought to justify his claim to the throne.
Author Keywords: Anthony Woodville, Edward IV, Elizabeth Woodville, England, Queenship, Wars of the Roses
Habitat selection by sympatric Canada lynx (Lynx canadensis) and bobcat (Lynx rufus)
Range expansion by the bobcat (Lynx rufus) may be contributing to range contraction by the Canada lynx (Lynx canadensis), but interactions between them are not well understood. To investigate the potential for competition, I conducted a literature review of hierarchical habitat selection by these two species. I determined that the lynx and the bobcat select different resources at the first and second orders, and that the fourth order is under-studied compared to higher orders. I therefore conducted a snow-tracking study of fine-scale habitat selection by lynx and bobcat in an area of sympatry in northern Ontario. I found that the two species selected similar resources at the fourth order, but appeared to be allopatric at the level of the home range. These results suggest that competition is unlikely to occur between lynx and bobcat, and other factors should be considered as more probable causes of the lynx range contraction.
Author Keywords: Bobcat, Canada lynx, Competition, Habitat selection, Scale, Snow tracking
An Investigation of Rare Earth Element Patterns and an Application of Using Zn and Cd Isotope Ratios in Oysters to Identify Contamination Sources in an Estuary in Southern China
Environmental monitoring and investigation of metal biogeochemical cycling has been
carried out in the Pearl River Estuary (PRE), an important and complex system in Southern
China. In this study, rare earth element (REE) patterns as well as isotope ratios (i.e., Zn and Cd)
were evaluated as tools to identify contamination sources in environmental compartments (i.e.,
water and suspended particles (SP)) as well as in oysters collected from estuarine sites. Results
show elevated concentrations (also called anomalies) of Pr, Nd, Dy and Ho, relative to other
REE elements, in water samples, potentially from REE recycling and other industrialized
activities in this area. Unlike water samples, no REE anomalies were found in SP or oysters,
suggesting that the dominate REE uptake pathway in oysters is from particles. Secondly, site to
site variations in Zn isotope ratios were found in water and SP, showing the complexity of the
source inputs in this area. Also, in estuarine locations, larger spatially differences in Zn isotope
ratios were found in water collected in wet season than those in dry season, which may due to
mixing of different source inputs under the water circulations in different seasons.
A series of laboratory experiments were conducted during which changes in Zn isotope
ratios were measured during uptake under varying salinity and Zn concentrations and during
depuration. Neither in vivo Zn transportation among the various tissues within the oysters nor
water exposure conditions (i.e., different salinities or Zn concentrations) caused Zn isotopic
fractionation in the oysters.
Cd and Zn isotope ratios were also determined in oysters obtained from the PRE. Large variations in Cd and Zn isotope ratios suggest that oysters were receiving contaminants from different input sources within the PRE. A consistent difference (approximately 0.67‰) was observed for Zn isotope ratios in oysters collected from the east side of the PRE compared to those from sampling locations on the western side of the PRE, suggesting different Zn sources in these two areas. Ultimately, by combining biogeochemistry with physiology, this study represents a first attempt to assess pollution status, monitor contaminants using oysters and model/identify contamination sources using both REEs and metal isotope ratios.
A Socioloegal Mediation of Rave Sound System Technologies
The central scholarly contribution of this dissertation develops through bringing the theories of Michel Foucault to bear in a sociolegal study of rave culture's criminalization by the United Kingdom's 1994 Criminal Justice and Public Order Act. My methodology develops rave as a cultural keyword. This keyword navigates through a quasi-materialist definition of rave as a cultural codification of sound system technologies. I theorize the way in which sociocultural discourse indexes aestheticized representations and the cultural mythologies that rave sound system's technical mediation generate. These ideas trace the facticity of the legal documentation of rave's criminalization. I inform this sociolegal history by situating Foucault's work on the genealogy of liberalism as a practical toolkit for associating the legal discourse on rave culture with the genealogy of festival. This opens up a dialogue with the work of Mikhail Bakhtin's theorizing of the festival's ambivalent political climate. Such ideas are useful in documenting rave as an enduring mimicry of the tension between State and civil society. Pieter Bruegel the Elder's 1559 painting, "The Fight Between Carnival and Lent", captures this tension beautifully. The aptness of reading rave's criminalization in relation to Bruegel's portrayal of landscape is accomplished by returning to Foucault, who defines liberalism's political technologies in relation to Judaeo-Christian precedents. I explore how these political technologies, pastoral power in particular, are helpful in tracing rave's genealogical relation to the festival's sociotechnical cartography.
Author Keywords: Bakhtin, Carnival, Christianity, Festival, Liberalism, Materialism
Contemporary adaptive shifts in the physiology and life history of Pumpkinseed (Lepomis gibbosus) introduced into a warm climate
Contemporary evolution has the potential to help limit the biological impact of rapidly changing climates, however it remains unclear whether wild populations can respond quickly enough for such adaptations to be effective. In this thesis, I used the introduction of native North American Pumpkinseed (Lepomis gibbosus) into the milder climate of Europe over 140 years ago, as a 'natural' experiment to test for contemporary evolution to a change in climate in wild populations. In 2008, four outdoor pond colonies were established in central Ontario using adult Pumpkinseed from two native Canadian populations, and two non-native populations from northeastern Spain. By raising native and non-native Pumpkinseed within a common environment, this design minimized the impact of phenotypic plasticity on differential trait expression, and allowed me to interpret differences in the phenotype among pond-reared Pumpkinseed as evidence of genetic differences among populations. I demonstrated that Canadian and Spanish Pumpkinseed have similar thermal physiology except when acclimated to seasonally warm temperatures; trait differences are consistent with Spanish Pumpkinseed being better adapted to a warmer climate. Populations also had similar overwintering ecology, however some differences, such as higher survival under starvation conditions and greater energetic benefits associated with winter feeding, indicated that Canadian populations are better adapted to harsh winter conditions typical of the native range. Finally, I determined that the relatively fast life history expressed in wild European Pumpkinseed is largely driven by plastic responses to the local environment; however, the higher reproductive investment by European populations has a genetic basis. Most climate change research considers taxa that are expected to be negatively impacted by warming: my research demonstrates that even warm-tolerant taxa that are unlikely to experience strong climatic selective forces can respond to a warming environment through evolutionary changes. The potential for adaptive contemporary evolution in warm-tolerant taxa should be taken into account when predicting future ecosystem effects of climate change, and when planning management strategies for species introduced into novel climates.
Author Keywords: climate change, contemporary evolution, fish, non-native species, thermal biology, winter ecology