Answering the Question Why: The Theoretical Foundations to Instructional Choices in a Middle School Mathematics Class

In all public middle schools in Oregon, students are required to complete a yearlong mathematics course. And while middle school marks a time of transition and development for many students, it also marks an important transition in mathematics. Every student in the district will transition from general mathematics courses into domain -specific courses, and it is critical that both teachers and students ask the question, Why? in order to facilitate meaningful learning. As a teacher, the answers to this question should inform every aspect of one\u27s practice. These answers should not only be defined by a personal philosophy of teaching, but they should also be informed by and evident of theories of learning in their application. In order to defend my own teaching practices, this thesis is a presentation of my personal philosophy of teaching, as informed by learning theories, followed by a detailed analysis of how my teaching practice was evident of these theories in application. Specifically, this analysis examines a sixth grade mathematics unit that I planned and taught to 28 students within the Salem -Keizer School District

The MUSE-Wide survey: A measurement of the Lyα\alpha emitting fraction among z>3z>3 galaxies

We present a measurement of the fraction of Lyman $\alpha$ (Ly$\alpha$) emitters ($X_{\rm{Ly} \alpha}$) amongst HST continuum-selected galaxies at $3<z<6$ with the Multi-Unit Spectroscopic Explorer (MUSE) on the VLT. Making use of the first 24 MUSE-Wide pointings in GOODS-South, each having an integration time of 1 hour, we detect 100 Ly$\alpha$ emitters and find $X_{\rm{Ly} \alpha}\gtrsim0.5$ for most of the redshift range covered, with 29 per cent of the Ly$\alpha$ sample exhibiting rest equivalent widths (rest-EWs) $\leq$ 15\AA. Adopting a range of rest-EW cuts (0 - 75\AA), we find no evidence of a dependence of $X_{\rm{Ly} \alpha}$ on either redshift or UV luminosity.Comment: 10 pages, 5 figures (MNRAS, updated as per version in press

How interior design responds to neurodiversity: implementing wearable technologies in neurodesign processes

This perspective article, looking through the lens of neurodiversity, discusses the benefits and challenges of implementing virtual environments and wearable technologies in interior design and related fields. While the relationship between human perception and built environments has long been studied in the environmental design disciplines, the direct impact on occupant performance related to neurodiversity has been underexplored in research, with a shortage of knowledge supporting how it can be applied in design practice concerning the end users. Individuals’ perceptual, cognitive, and affective responses to their surroundings vary, as neurodiversity plays a key role in the invisible, human-environment interaction. Thus, measuring, analyzing, and understanding affective, perceptual, and cognitive experiences is a challenging process in which various factors come into play, and no single method or measurement can adequately work for all. Due to such challenges, research has also utilized various biometric measurements and tools for immersive experiments in physical and virtual environments, e.g., eye tracking used in studies on gaze behaviors and immersive virtual reality (IVR) used in studies on the spatial perception of dementia patients. Along with empirical methods, studies have stressed the contribution of phenomenology to looking into the hidden dimension, the ‘why factors’ of perception, cognition, and affectivity. Concerning the methodological approach, this perspective article shares insights into a novel process model, Participatory Neurodesign (PND) framework, used in wayfinding research and design processes utilizing eye tracking and IVR. Opportunities for neurodesign research and design practice are also discussed, focusing on the health, safety, and wellbeing of end-users

The SXS Collaboration catalog of binary black hole simulations

Accurate models of gravitational waves from merging black holes are necessary for detectors to observe as many events as possible while extracting the maximum science. Near the time of merger, the gravitational waves from merging black holes can be computed only using numerical relativity. In this paper, we present a major update of the Simulating eXtreme Spacetimes (SXS) Collaboration catalog of numerical simulations for merging black holes. The catalog contains 2018 distinct configurations (a factor of 11 increase compared to the 2013 SXS catalog), including 1426 spin-precessing configurations, with mass ratios between 1 and 10, and spin magnitudes up to 0.998. The median length of a waveform in the catalog is 39 cycles of the dominant $\ell=m=2$ gravitational-wave mode, with the shortest waveform containing 7.0 cycles and the longest 351.3 cycles. We discuss improvements such as correcting for moving centers of mass and extended coverage of the parameter space. We also present a thorough analysis of numerical errors, finding typical truncation errors corresponding to a waveform mismatch of $\sim 10^{-4}$. The simulations provide remnant masses and spins with uncertainties of 0.03% and 0.1% ($90^{\text{th}}$ percentile), about an order of magnitude better than analytical models for remnant properties. The full catalog is publicly available at https://www.black-holes.org/waveforms .Comment: 33+18 pages, 13 figures, 4 tables, 2,018 binaries. Catalog metadata in ancillary JSON file. v2: Matches version accepted by CQG. Catalog available at https://www.black-holes.org/waveform

Wild flies hedge their thermal preference bets in response to seasonal fluctuations

Fluctuating environmental pressures can challenge organisms by repeatedly shifting the optimum phenotype. Two contrasting evolutionary strategies to cope with these fluctuations are 1) evolution of the mean phenotype to follow the optimum (adaptive tracking) or 2) diversifying phenotypes so that at least some individuals have high fitness in the current fluctuation (bet-hedging). Bet-hedging could underlie stable differences in the behavior of individuals that are present even when genotype and environment are held constant. Instead of being simply ‘noise,’ behavioral variation across individuals may reflect an evolutionary strategy of phenotype diversification. Using geographically diverse wild-derived fly strains and high-throughput assays of individual preference, we tested whether thermal preference variation in Drosophila melanogaster could reflect a bet-hedging strategy. We also looked for evidence that populations from different regions differentially adopt bet-hedging or adaptive-tracking strategies. Computational modeling predicted regional differences in the relative advantage of bet-hedging, and we found patterns consistent with that in regional variation in thermal preference heritability. In addition, we found that temporal patterns in mean preference support bet-hedging predictions and that there is a genetic basis for thermal preference variability. Our empirical results point to bet-hedging in thermal preference as a potentially important evolutionary strategy in wild populations

Wild flies hedge their thermal preference bets in response to seasonal fluctuations

Fluctuating environmental pressures can challenge organisms by repeatedly shifting the optimum phenotype. Two contrasting evolutionary strategies to cope with these fluctuations are 1) evolution of the mean phenotype to follow the optimum (adaptive tracking) or 2) diversifying phenotypes so that at least some individuals have high fitness in the current fluctuation (bet-hedging). Bet-hedging could underlie stable differences in the behavior of individuals that are present even when genotype and environment are held constant. Instead of being simply ‘noise,’ behavioral variation across individuals may reflect an evolutionary strategy of phenotype diversification. Using geographically diverse wild-derived fly strains and high-throughput assays of individual preference, we tested whether thermal preference variation in Drosophila melanogaster could reflect a bet-hedging strategy. We also looked for evidence that populations from different regions differentially adopt bet-hedging or adaptive-tracking strategies. Computational modeling predicted regional differences in the relative advantage of bet-hedging, and we found patterns consistent with that in regional variation in thermal preference heritability. In addition, we found that temporal patterns in mean preference support bet-hedging predictions and that there is a genetic basis for thermal preference variability. Our empirical results point to bet-hedging in thermal preference as a potentially important evolutionary strategy in wild populations