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Discussing a teacher MKT and its role on teacher practice when exploring data analysis
Fonte: Grupo de Investigaci??n Did??ctica de la Matem??tica: Pensamiento Num??rico, (FQM-193),
Publicador: Grupo de Investigaci??n Did??ctica de la Matem??tica: Pensamiento Num??rico, (FQM-193),
Tipo: Artigo de Revista Científica
ENG
Relevância na Pesquisa
66.3%
#Data analysis#Mathematical knowledge for teaching#Mathematically critical situations#Teacher???s practices#An??lisis de datos#Conocimiento matem??tico para la ense??anza#Pr??cticas del profesor#Situaciones matem??ticamente cr??ticas
This article considers teacher knowledge in managing mathematically critical situations and the role of what can be termed a mathematical summary in the analysis of a teaching episode, viewed from the perspective of Mathematical Knowledge for Teaching (MKT). The analysis is based on an episode of content review, from a perspective which aims to understand the teacher???s logic rather than merely identify gaps in their knowledge. We discuss the importance of approaching mathematically critical situations in order to contribute to eradicating mathematical innumeracy (statistics) and to promote a kind of practice which is ???mathematically demanding??? as well as ???pedagogically exciting???.; Este art??culo considera el conocimiento del profesor al gestionar situaciones matem??ticamente cr??ticas y el papel de lo que puede denominarse un resumen matem??tico en el an??lisis de un episodio de ense??anza, visto desde la perspectiva del conocimiento matem??tico para la ense??anza. El an??lisis se basa en un episodio de revisi??n del contenido, desde una perspectiva que trata de comprender la l??gica del profesor en vez de simplemente identificar lagunas en su conocimiento. Discutimos la importancia de abordar las situaciones matem??ticamente cr??ticas con el fin de contribuir a erradicar la incompetencia en matem??ticas (estad??stica) y promover un tipo de pr??ctica que sea ???matem??ticamente exigente??? as?? como ???pedag??gicamente interesante???.
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Alternatives of Revenue for Corrective Actions of Wind Generators in a Delegated Dispatch
Fonte: IEEE
Publicador: IEEE
Tipo: Conferência ou Objeto de Conferência
Formato: application/pdf
Publicado em /05/2007
ENG
Relevância na Pesquisa
15.8%
#Wind Generation#Generation Dispatch#Delegated Dispatch#Optimization#Nonlinear Programming#Mixed Integer Programming#Ingeniería Industrial
Face to critical contingence situations, the System Operator can require wind farms output reductions. The zonal Delegated Dispatches can act as interface between the System Operator and the producers, allowing a faster and accurate answer. Three probable approaches are mathematically formulated and analyzed in the paper, separately considering the controllability and the possibility of disconnecting the wind farms. The methods are testedand compared by using a realistic test network, extracted from the Spanish national network.
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Conhecimento e formação de futuros professores dos primeiros anos – o sentido de número racional
Fonte: CIED – Centro Interdisciplinar de Estudos Educacionais/Escola Superior de Educação de Lisboa
Publicador: CIED – Centro Interdisciplinar de Estudos Educacionais/Escola Superior de Educação de Lisboa
Tipo: Artigo de Revista Científica
Publicado em /03/2013
POR
Relevância na Pesquisa
66.18%
#Conhecimento de futuros professores#Números racionais#Situações matematicamente críticas#Formação de professores#Prospective teachers’ knowledge#Rational numbers#Mathematically critical situations#Teacher education#Savoir des futurs enseignants#Nombres rationnels#Situations mathématiquement critiques
Nos últimos anos o conhecimento do professor tem vindo a ser reconhecido como um dos aspetos nucleares no, e para o, desenvolvimento do conhecimento matemático dos alunos. Atendendo a essa centralidade, a formação deverá focar-se onde é, efetivamente, necessária, de modo a potenciar um incremento do conhecimento dos alunos, pelo conhecimento (e práticas) dos professores. Sendo os números racionais um dos tópicos problemáticos para os alunos, é fundamental identificar quais as situações matematicamente (mais) críticas para os professores de modo que, pela formação facultada, possam deixar de o ser. Neste artigo, tendo por foco o conhecimento matemático do professor e as suas especificidades, discutimos alguns aspetos desse conhecimento de futuros professores sobre números racionais, em concreto o sentido de número racional, identificando as suas componentes mais problemáticas e equacionando alguns dos porquês em que se sustentam. Terminamos com algumas considerações sobre implicações para a formação de professores e responsabilidade dos seus formadores.; Abstract: In recent years, teachers’ knowledge has come to be recognized as one of the core aspects in and for the development of students’ mathematical knowledge. This being the case...
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Hybrid inverse problems and internal functionals
Fonte: Universidade Cornell
Publicador: Universidade Cornell
Tipo: Artigo de Revista Científica
Publicado em 21/10/2011
Relevância na Pesquisa
15.8%
This paper reviews recent results on hybrid inverse problems, which are also
called coupled-physics inverse problems of multi-wave inverse problems. Inverse
problems tend to be most useful in, e.g., medical and geophysical imaging, when
they combine high contrast with high resolution. In some settings, a single
modality displays either high contrast or high resolution but not both. In
favorable situations, physical effects couple one modality with high contrast
with another modality with high resolution. The mathematical analysis of such
couplings forms the class of hybrid inverse problems.
Hybrid inverse problems typically involve two steps. In a first step, a
well-posed problem involving the high-resolution low-contrast modality is
solved from knowledge of boundary measurements. In a second step, a
quantitative reconstruction of the parameters of interest is performed from
knowledge of the point-wise, internal, functionals of the parameters
reconstructed during the first step. This paper reviews mathematical techniques
that have been developed in recent years to address the second step.
Mathematically, many hybrid inverse problems find interpretations in terms of
linear and nonlinear (systems of) equations. In the analysis of such equations...
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Pinning of polymers and interfaces by random potentials
Fonte: Universidade Cornell
Publicador: Universidade Cornell
Tipo: Artigo de Revista Científica
Relevância na Pesquisa
25.93%
#Mathematics - Probability#Condensed Matter - Statistical Mechanics#Mathematical Physics#82D60 (Primary) 82B44, 60K35 (Secondary)
We consider a polymer, with monomer locations modeled by the trajectory of a
Markov chain, in the presence of a potential that interacts with the polymer
when it visits a particular site 0. Disorder is introduced by, for example,
having the interaction vary from one monomer to another, as a constant $u$ plus
i.i.d. mean-0 randomness. There is a critical value of $u$ above which the
polymer is pinned, placing a positive fraction of its monomers at 0 with high
probability. This critical point may differ for the quenched, annealed and
deterministic cases. We show that self-averaging occurs, meaning that the
quenched free energy and critical point are nonrandom, off a null set. We
evaluate the critical point for a deterministic interaction ($u$ without added
randomness) and establish our main result that the critical point in the
quenched case is strictly smaller. We show that, for every fixed
$u\in\mathbb{R}$, pinning occurs at sufficiently low temperatures. If the
excursion length distribution has polynomial tails and the interaction does not
have a finite exponential moment, then pinning occurs for all $u\in\mathbb{R}$
at arbitrary temperature. Our results apply to other mathematically similar
situations as well, such as a directed polymer that interacts with a random
potential located in a one-dimensional defect...
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Putting Liouville String Models of (Quantum) Gravity to Test
Fonte: Universidade Cornell
Publicador: Universidade Cornell
Tipo: Artigo de Revista Científica
Relevância na Pesquisa
15.86%
#High Energy Physics - Theory#General Relativity and Quantum Cosmology#High Energy Physics - Phenomenology
Critical String Theory is by definition an $S$-matrix theory. In this sense,
(quantum) gravity situations where a unitary $S$-matrix may not be a
well-defined concept, as a consequence of the existence of macroscopic (global)
or microscopic (local) gravitational fluctuations with event horizons, present
a challenge to string theory. In this article, we take some modest steps in
suggesting alternative treatments of such cases via non-critical (Liouville)
strings,which do not have a well-defined S matrix, but for which a
superscattering \$ matrix is mathematically consistent. After a brief review of
the underlying mathematical formalism, we consider a specific stringy model of
induced non-criticality, with dynamical formation of horizons, associated with
the recoil of a D-particle defect, embedded in our four-dimensional space time,
during its scattering with a (macroscopic) number of closed string states. We
study in detail the associated spacetime distortion in the neighbourhood of the
defect, which has the form of a finite-radius curved `bubble', matched with a
Minkowskian space-time in the exterior. As a consequence of the non-criticality
of the underlying sigma-model, the space time is unstable, and has non-trivial
stochastic properties: thermal properties due to its ``Rindler accelerating
nature''...
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