1,001 research outputs found
Creating Space for Personal Meaning in Schooling
This paper suggests possible ways for teachers to develop students’ personal meaning in public school classrooms. We discuss why schools should move beyond a focus on narrow performance standards and help students address the mysteries of life in our universe. We show how a personally meaningful curriculum is an integral one that emphasizes multiple dimensions of knowledge, enduring understandings, and the development of a moral imagination. We conclude that by using four educational keystones (gratitude, justice, imagination, and transcendence) we can educate for personal meaning without imposing our own worldview and belief system on our students
Error estimation and adaptive moment hierarchies for goal-oriented approximations of the Boltzmann equation
This paper presents an a-posteriori goal-oriented error analysis for a
numerical approximation of the steady Boltzmann equation based on a
moment-system approximation in velocity dependence and a discontinuous Galerkin
finite-element (DGFE) approximation in position dependence. We derive
computable error estimates and bounds for general target functionals of
solutions of the steady Boltzmann equation based on the DGFE moment
approximation. The a-posteriori error estimates and bounds are used to guide a
model adaptive algorithm for optimal approximations of the goal functional in
question. We present results for one-dimensional heat transfer and shock
structure problems where the moment model order is refined locally in space for
optimal approximation of the heat flux.Comment: arXiv admin note: text overlap with arXiv:1602.0131
An Entropy Stable Discontinuous Galerkin Finite-Element Moment Method for the Boltzmann Equation
This paper presents a numerical approximation technique for the Boltzmann
equation based on a moment system approximation in velocity dependence and a
discontinuous Galerkin finite-element approximation in position dependence. The
closure relation for the moment systems derives from minimization of a suitable
{\phi}-divergence. This divergence-based closure yields a hierarchy of
tractable symmetric hyperbolic moment systems that retain the fundamental
structural properties of the Boltzmann equation. The resulting combined
discontinuous Galerkin moment method corresponds to a Galerkin approximation of
the Boltzmann equation in renormalized form. We present a new class of
numerical flux functions, based on the underlying renormalized Boltzmann
equation, that ensure entropy dissipation of the approximation scheme.
Numerical results are presented for a one-dimensional test case.Comment: arXiv admin note: substantial text overlap with arXiv:1503.0518
A Multiscale Diffuse-Interface Model for Two-Phase Flow in Porous Media
In this paper we consider a multiscale phase-field model for
capillarity-driven flows in porous media. The presented model constitutes a
reduction of the conventional Navier-Stokes-Cahn-Hilliard phase-field model,
valid in situations where interest is restricted to dynamical and equilibrium
behavior in an aggregated sense, rather than a precise description of
microscale flow phenomena. The model is based on averaging of the equation of
motion, thereby yielding a significant reduction in the complexity of the
underlying Navier-Stokes-Cahn-Hilliard equations, while retaining its
macroscopic dynamical and equilibrium properties. Numerical results are
presented for the representative 2-dimensional capillary-rise problem
pertaining to two closely spaced vertical plates with both identical and
disparate wetting properties. Comparison with analytical solutions for these
test cases corroborates the accuracy of the presented multiscale model. In
addition, we present results for a capillary-rise problem with a non-trivial
geometry corresponding to a porous medium
The Travels of Astronomical Tables within Medieval Islam: A Summary
This survey of the movements of astronomical tables within medieval Islam provides a backdrop for the remaining articles in this volume. We discuss the types of document that contained astronomical tables, and some of the analytical tools that have produced discoveries with respect to the transmission of tables from one author or subculture to another. We conclude with a summary of table transmission: from origins with the appropriation of traditions of astronomical tables taken from Greece and India, through the establishment of a Ptolemaic tradition in the 9th century and a uniquely Islamic expansion of methods and concepts starting in the 10th, to important sub-traditions in al- Andalus and the Maghrib
Stirring Heart and Mind: Teaching for Biblical Values
This article was prepared in conjunction with the twelfth annual B. J. Haan Lecture Series held Spring 1995 at Dordt College
The Effects of Government Funding on Private Schools: Appraising the Perceptions of Long-term Principals and Teachers in British Columbia’s Christian Schools
An increasing proportion of Canadian parents enrol children in private schools. This study evaluates the changes long-term principals and teachers of the largest organization of Christian schools in British Columbia perceive to have occurred since partial public funding began in 1977. Funding has been a factor in salaries, resources, and program diversity. Some schools have implemented distinctive approaches based on a religious and educational vision; others have accepted government policies and public school programs with little critical analysis. The data suggest that a school may maintain its educational distinctiveness, but only as long as and to the extent that (1) its leaders continue to have a compelling educational mission shared by a cohesive supporting community, and (2) funding authorities continue to countenance the schools as true alternatives. De plus en plus de parents canadiens inscrivent leurs enfants dans des écoles privées. Cette étude évalue les changements que les directeurs d’école et les enseignants de longue date des principales écoles chrétiennes de la Colombie-Britannique ont remarqués depuis le début du financement partiel des écoles privés par le gouvernement en 1977. L’octroi de subventions a eu un effet sur les salaires, les ressources et la diversité des programmes. Certaines écoles ont mis en place des approches particulières fondées sur une vision religieuse et pédagogique; d’autres ont accepté les politiques gouvernementales et les programmes des écoles publiques en faisant peu d’analyse critique. Les données colligées donnent à penser qu’une école peut maintenir son caractère distinctif, mais seulement dans la mesure où (1) ses directeurs continuent à se donner une mission éducative claire, partagée par une communauté homogène et que (2) les instances assurant le financement continuent à accepter ces écoles comme des solutions de rechange valables.
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