Number of found documents: 386
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Badatelské aktivity s geometrickým obsahem v přípravě studentů učitelství
Roubíček, Filip
2016 - Czech
Příspěvek je věnován otázkám uplatnění badatelského přístupu v semináři z didaktiky matematiky určených budoucím učitelům prvního stupně základní školy. Studentům byly předkládány badatelské výukové situace, jejichž základem bylo specifické geometrické prostředí. Studenti se zabývali řešením neurčitých geometrických úloh, které umožňovalo uplatnění badatelských postupů, jako jsou kladení otázek, navrhování postupů, experimentování, usuzování, ověřování, diskutování závěrů aj. V příspěvku jsou prezentovány tři ukázky badatelských aktivit realizovaných se studenty a jejich reflexe bádání. The paper deals with the issue of implementation of inquiry-based approach into seminars of didactics of mathematics for future primary school teachers. Inquiry -stimulating teaching situations based on specific geometrical environments were presented to students. Students engaged in the solving of undefined geometrical problems that enables application od inquiry procedures, such as posing of questions, designing of solving processes, making experiments, reasoning, verification, discussion of findings and others. Three illustrations of inquiry activities realised with students and their reflection of inquiry are presented in the paper. Keywords: inquiry activities; geometrical problems; preservice teacher education Available at various institutes of the ASCR
Badatelské aktivity s geometrickým obsahem v přípravě studentů učitelství

Příspěvek je věnován otázkám uplatnění badatelského přístupu v semináři z didaktiky matematiky určených budoucím učitelům prvního stupně základní školy. Studentům byly předkládány badatelské výukové ...

Roubíček, Filip
Matematický ústav, 2016

Numerical modeling of magnetostrictive materials
Kholmetska, I.; Chleboun, J.; Krejčí, Pavel
2016 - English
An operator-differential model for magnetostrictive energy harvesting proposed in the literature is used to calculate the amount of harvested energy under some uncertainty in the Preisach density function. The uncertainty is modeled through a fuzzy set approach. In galfenol, an alloy of gallium and iron, however, the hysteresis phenomenon is present only weakly. This allows to propose a simpler, but computationally faster model without hysteresis. The new, simpler model has been identified from the measured magnetic and magnetostrictive cycles. The amount of harvested energy is of the same order in both models. Again, an uncertainty in the identified model can be considered and its impact on the amount of the harvested energy calculated. Keywords: magnetostrictive materials; hysteresis; energy harvesting Available in digital repository of the ASCR
Numerical modeling of magnetostrictive materials

An operator-differential model for magnetostrictive energy harvesting proposed in the literature is used to calculate the amount of harvested energy under some uncertainty in the Preisach density ...

Kholmetska, I.; Chleboun, J.; Krejčí, Pavel
Matematický ústav, 2016

Anthropic principle and the local Hubble expansion
Křížek, Michal; Somer, L.
2016 - English
We claim that a local expansion of the universe, whose rate is comparable with the Hubble constant H0, had an essential influence on the development of intelligent life on the Earth. We present more than 10 examples showing that some antigravitational effects of the cosmological constant are observable locally in the Solar system. It is known that the luminosity of the Sun increased approximately linearly within the last 4.5Gyr starting at 70% of its present value. We give several independent arguments showing that the average Earth-Sun distance increases about 5m/yr due to antigravitational forces and such a large recession speed cannot be explained by solar wind, tidal forces, plasma outbursts from the Sun, or by the decrease of the Solar mass due to nuclear reactions. Models based on Newtonian mechanics can explain only a few cm per year. Keywords: antigravity; habitable zone; law of conservation of energy Available in digital repository of the ASCR
Anthropic principle and the local Hubble expansion

We claim that a local expansion of the universe, whose rate is comparable with the Hubble constant H0, had an essential influence on the development of intelligent life on the Earth. We present more ...

Křížek, Michal; Somer, L.
Matematický ústav, 2016

Programs and Algorithms of Numerical Mathematics 17 : Dolní Maxov, June 8-13, 2014 : Proceedings of Seminar
Chleboun, J.; Přikryl, Petr; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš
2015 - English
This volume comprises peer-reviewed papers that are based on invited lectures, survey lectures, short communications, and posters presented at the 17th seminar Programs and Algorithms of Numerical Mathematics (PANM) held in Dolní Maxov, Czech Republic, June 8–13, 2014. The seminar was organized by the Institute of Mathematics of the Academy of Sciences of the Czech Republic. It continued the previous seminars on mathematical software and numerical methods held (with only one exception) biannually in\nAlšovice, Bratříkov, Janov nad Nisou, Kořenov, Lázně Libverda, Dolní Maxov, and Prague in the period 1983–2012. The objective of this series of seminars is to provide a forum for presenting and discussing advanced topics in numerical analysis, singleor multi-processor applications of computational methods, and new approaches to mathematical modeling. Keywords: numerical mathematics Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 17 : Dolní Maxov, June 8-13, 2014 : Proceedings of Seminar

This volume comprises peer-reviewed papers that are based on invited lectures, survey lectures, short communications, and posters presented at the 17th seminar Programs and Algorithms of Numerical ...

Chleboun, J.; Přikryl, Petr; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš
Matematický ústav, 2015

Proceedings of the International Conference Applications of Mathematics 2015 : Prague, November 18-21, 2015
Brandts, J.; Korotov, S.; Křížek, Michal; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš
2015 - English
Professors Ivo Babuška, Milan Práger, and Emil Vitásek are renowned experts in numerical analysis and computational methods. Their fruitful scientific careers started in Prague, at the Institute of Mathematics of the Czechoslovak Academy of Sciences (now Czech Academy of Sciences). They collaborated there on various projects including the computational analysis of the construction technology for Orlík Dam. In 1966 they published their joint book entitled Numerical Processes in Differential Equations. It is an honor for the Institute of Mathematics to host a conference on the occasion of their birthdays. Keywords: applications of mathematics Available in digital repository of the ASCR
Proceedings of the International Conference Applications of Mathematics 2015 : Prague, November 18-21, 2015

Professors Ivo Babuška, Milan Práger, and Emil Vitásek are renowned experts in numerical analysis and computational methods. Their fruitful scientific careers started in Prague, at the Institute of ...

Brandts, J.; Korotov, S.; Křížek, Michal; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš
Matematický ústav, 2015

Error patterns in computation in concept cartoons
Samková, L.; Tichá, Marie; Hošpesová, A.
2015 - English
The paper focuses on an educational tool called Concept Cartoons, and its possible usage in primary school mathematics, especially in promoting discussion in the classroom. We show in detail how to prepare Concept Cartoons displaying various mental computation strategies and error patterns. Keywords: concept Cartoons; error patterns; mental computation strategies Available at various institutes of the ASCR
Error patterns in computation in concept cartoons

The paper focuses on an educational tool called Concept Cartoons, and its possible usage in primary school mathematics, especially in promoting discussion in the classroom. We show in detail how to ...

Samková, L.; Tichá, Marie; Hošpesová, A.
Matematický ústav, 2015

Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability
Kůs, Pavel
2015 - English
In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this particular problém are discussed. Our numerical tests confirm the convergence of the method, but for some very special choices of parameters, this convergence has very uncommon properties. Keywords: convergence; finite element method; Turing instability; reaction-diffusion Available in digital repository of the ASCR
Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability

In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this ...

Kůs, Pavel
Matematický ústav, 2015

Reasoning of pupils in the solving process of a geometrical inquiry-stimulating task
Roubíček, Filip
2015 - English
The poster focuses on the issue of solving geometrical problems in the context of inquiry based education, namely on the use of inquiry by pupils and on classroom mathematics discourse. The poster describes communicative situations in solving of inquiry based problems and presents examples of pupils’ solutions and discussion in the classroom. Keywords: inquiry based education; teaching of geometry; problem solving; mathematical discourse Available at various institutes of the ASCR
Reasoning of pupils in the solving process of a geometrical inquiry-stimulating task

The poster focuses on the issue of solving geometrical problems in the context of inquiry based education, namely on the use of inquiry by pupils and on classroom mathematics discourse. The poster ...

Roubíček, Filip
Matematický ústav, 2015

On the problem of singular limits in a model of radiative flow
Ducomet, B.; Nečasová, Šárka
2015 - English
We consider a "semi-relativistic" model of radiative viscous compressible Navier-Stokes-Fourier system coupled to the radiative transfer equation extending the classical model introduced in [8] and we study diffusion limits in the case of well-prepared initial data and Dirichlet boundary condition for the velocity field. Keywords: radiation hydrodynamics; Navier-Stokes-Fourier system; weak solution Fulltext is available at external website.
On the problem of singular limits in a model of radiative flow

We consider a "semi-relativistic" model of radiative viscous compressible Navier-Stokes-Fourier system coupled to the radiative transfer equation extending the classical model introduced in [8] and we ...

Ducomet, B.; Nečasová, Šárka
Matematický ústav, 2015

Some notes about the homogenization problem for the Navier-Stokes equations
Feireisl, Eduard; Namlyeyeva, Yuliya; Nečasová, Šárka
2015 - English
We study the homogenization problem for the evolutionary Navier-Stokes system under the critical size of obstacles. Convergence towards the limit system of Brinkman's type is shown under very mild assumptions concerning the shape of the obstacles and their mutual distance. Keywords: Navier-Stokes system; homogenization; Brinkman's law Fulltext is available at external website.
Some notes about the homogenization problem for the Navier-Stokes equations

We study the homogenization problem for the evolutionary Navier-Stokes system under the critical size of obstacles. Convergence towards the limit system of Brinkman's type is shown under very mild ...

Feireisl, Eduard; Namlyeyeva, Yuliya; Nečasová, Šárka
Matematický ústav, 2015

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