2,544 research outputs found

    Mathematics Self-efficacy in High School Students and the Effects of Interim Goal Setting: How Goals and Efficacy are Linked in the Self-efficacy Goal Spectrum

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    Research has found that self-efficacy affects how a student behaves in class, how they choose to approach academic work, how long they persevere on a topic, and the type of goals they set for themselves. When students enter high school, opinions of self-efficacy (negative or positive) are strong and it becomes increasingly difficult for teachers to help students change their efficacious beliefs. This is apparent in secondary mathematics classrooms where students have years of previous experiences that have shaped opinions about their self-efficacy. A possibility in altering self-efficacy is by combining goal achievement theory and social learning theory. If more value is placed on interim (or short term) goals, teachers may be able to increase their student’s self-efficacy through a scaffolded approach to larger achievement and mastery goals. This study focused on the change in reported self-efficacy in high school mathematics students following a treatment of teacher promoted interim goals. Nine teachers with two classes each (N=377) from a suburban high school in the southeastern United States provided a common goal dialogue promoting short term goals in mathematics classes (ranging from ninth to twelfth grade courses) for four weeks. A survey was given to students to report their self-efficacy before and after the four-week goal treatment. Each teacher had a control class, which did not receive the goal dialogue. At the end of the four weeks a repeated measures ANOVA was conducted and found significance between the control and treatment classrooms. This indicates that students in classrooms where interim goals are promoted daily will have a higher increase in mathematics self-efficacy than students who do not receive daily goal prompts. This study also lays the groundwork for the Self-Efficacy Goal Spectrum (SEGS) which explains how to maximize mathematics self-efficacy through targeted interim goals

    Autonomous agile teams: Challenges and future directions for research

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    According to the principles articulated in the agile manifesto, motivated and empowered software developers relying on technical excellence and simple designs, create business value by delivering working software to users at regular short intervals. These principles have spawned many practices. At the core of these practices is the idea of autonomous, self-managing, or self-organizing teams whose members work at a pace that sustains their creativity and productivity. This article summarizes the main challenges faced when implementing autonomous teams and the topics and research questions that future research should address

    The spatial and temporal variability of Mn speciation in the coastal Northwest Atlantic Ocean

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    Author Posting. © American Geophysical Union, 2020. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research-Oceans 125(1),(2020): e2019JC015167, doi:10.1029/2019JC015167.Manganese (Mn) is distributed widely throughout the global ocean, where it cycles between three oxidation states that each play important biogeochemical roles. The speciation of Mn in seawater was previously operationally defined on filtration, with soluble Mn presumed to be Mn(II) and solid‐phase Mn as Mn(III/IV) oxides. Recent findings of abundant soluble Mn(III) complexes (Mn(III)‐L) highlights the need to reexamine the redox cycling of Mn, as these complexes can donate or accept electrons. To better understand the complex cycling of Mn in coastal waters, the distribution of Mn species at four Northwest Atlantic sites with different characteristics was examined. Diurnal influences on Mn speciation were investigated within a productive site. At all sites, Mn(III)‐L complexes dominated, particularly in surface waters, and Mn oxides were low in abundance in surface waters but high in bottom waters. Despite intrasite similarities, Mn speciation was highly variable between our stations, emphasizing the diverse processes that impact Mn redox. Diel Mn measurements revealed that the cycling of Mn is also highly variable over time, even on time scales as short as hours. We observed a change of over 100 nM total Mn over 17 hrs and find that speciation changed drastically. These changes could include contributions from biological, light‐mediated, and/or abiotic mechanisms but more likely point to the importance of lateral mixing at coastal sites. This exploration demonstrates the spatial and temporal variability of the Mn redox cycle and indicates that single timepoint vertical profiling is not sufficient when describing the geochemistry of dynamic coastal systems.This work was funded by grants from the Chemical Oceanography program of the National Science Foundation (OCE‐1355720 to CMH and CHL). VĂ©ronique Oldham thanks Woods Hole Oceanographic Institution for the receipt of the WHOI Postdoctoral Scholarship. Thanks also to Kevin Sutherland, Jen Karolweski, Gabriella Farfan, Kalina Grabb, Kaitlin Bowman, Alison Agather, and Lindsey Starr for the shipboard sampling assistance, as well as the captain and crew of the R/V Endeavor who made the sampling for this research possible. All data presented in the manuscript are available through the Biological and Chemical Oceanography Data Management Office (BCO‐DMO) under Project 756930 at the following link (https://www.bco‐dmo.org/project/756930).2020-06-2

    Fractional derivatives of random walks: Time series with long-time memory

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    We review statistical properties of models generated by the application of a (positive and negative order) fractional derivative operator to a standard random walk and show that the resulting stochastic walks display slowly-decaying autocorrelation functions. The relation between these correlated walks and the well-known fractionally integrated autoregressive (FIGARCH) models, commonly used in econometric studies, is discussed. The application of correlated random walks to simulate empirical financial times series is considered and compared with the predictions from FIGARCH and the simpler FIARCH processes. A comparison with empirical data is performed.Comment: 10 pages, 14 figure

    Time evolution of the reaction front in a subdiffusive system

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    Using the quasistatic approximation, we show that in a subdiffusion--reaction system the reaction front xfx_{f} evolves in time according to the formula xf∌tα/2x_{f} \sim t^{\alpha/2}, with α\alpha being the subdiffusion parameter. The result is derived for the system where the subdiffusion coefficients of reactants differ from each other. It includes the case of one static reactant. As an application of our results, we compare the time evolution of reaction front extracted from experimental data with the theoretical formula and we find that the transport process of organic acid particles in the tooth enamel is subdiffusive.Comment: 18 pages, 3 figure

    Squeezed States and Hermite polynomials in a Complex Variable

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    Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related to the Hermite polynomials in a complex variable which are orthogonal with respect to a non-rotationally invariant measure. We investigate relations between these coherent states and obtain the relationship between them and the squeezed states of quantum optics. We also obtain a second realization of the canonical coherent states in the Bargmann space of analytic functions, in terms of a squeezed basis. All this is done in the flavor of the classical approach of V. Bargmann [Commun. Pur. Appl. Math. 14, 187 (1961)].Comment: 15 page

    Using the fractional interaction law to model the impact dynamics in arbitrary form of multiparticle collisions

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    Using the molecular dynamics method, we examine a discrete deterministic model for the motion of spherical particles in three-dimensional space. The model takes into account multiparticle collisions in arbitrary forms. Using fractional calculus we proposed an expression for the repulsive force, which is the so called fractional interaction law. We then illustrate and discuss how to control (correlate) the energy dissipation and the collisional time for an individual article within multiparticle collisions. In the multiparticle collisions we included the friction mechanism needed for the transition from coupled torsion-sliding friction through rolling friction to static friction. Analysing simple simulations we found that in the strong repulsive state binary collisions dominate. However, within multiparticle collisions weak repulsion is observed to be much stronger. The presented numerical results can be used to realistically model the impact dynamics of an individual particle in a group of colliding particles.Comment: 17 pages, 8 figures, 1 table; In review process of Physical Review

    Non-Markovian Levy diffusion in nonhomogeneous media

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    We study the diffusion equation with a position-dependent, power-law diffusion coefficient. The equation possesses the Riesz-Weyl fractional operator and includes a memory kernel. It is solved in the diffusion limit of small wave numbers. Two kernels are considered in detail: the exponential kernel, for which the problem resolves itself to the telegrapher's equation, and the power-law one. The resulting distributions have the form of the L\'evy process for any kernel. The renormalized fractional moment is introduced to compare different cases with respect to the diffusion properties of the system.Comment: 7 pages, 2 figure
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