Which is the connection among chaos, fractals and number theory
Křížek, Michal; Šolcová, A.
2005 - Czech
We show that there are several very close connections between chaos and fractals and between fractals and number theory. V článku je ukázáno, že existuje velice úzká souvislost mezi teorií chaosu a fraktály a mezi fraktály a teorií čísel.
Keywords:
Feigenbaum equation; Fermat numbers; Fibonacci numbers
Available at various institutes of the ASCR
Which is the connection among chaos, fractals and number theory
We show that there are several very close connections between chaos and fractals and between fractals and number theory.
Geometrical sketches
Roubíček, Filip
2004 - Czech
The paper deals with the unusual mode of representation using forms of dramatization. Geometrical objects are personified in sketches and recognized on the basic of predictors in their speeches. Some examples of sketches where the geometrical solids and figures appear are presented. Článek pojednává o neobvyklém způsobu reprezentace užitím prvků dramatizace. Geometrické útvary jsou ve scénkách personifikovány a rozpoznávány na základě indicií v jejich promluvách. Je uvedeno několik příkladů etud, ve kterých vystupují geoemtrická tělesa a obrazce.
Keywords:
teaching of geometry; representation; dramatization
Available at various institutes of the ASCR
Geometrical sketches
The paper deals with the unusual mode of representation using forms of dramatization. Geometrical objects are personified in sketches and recognized on the basic of predictors in their speeches. Some ...
Several ways into the world of solid geometry
Roubíček, Filip
2004 - Czech
The contribution deals with the cultivation of competences to orient in space, to distinguish and to represent geometric solids in primary school. Some pupil´s activities, methods of model representation and didactic games for the cognition of geometric solids are described. Příspěvek pojednává o možnostech kultivace dovedností orientovat se v prostoru, rozeznávat a reprezentovat geometrická tělesa na prvním stupni základní školy. Jsou popsány žákovské aktivity, metody modelování a didaktické hry zaměřenéna poznávání geometrických těles.
Keywords:
teaching of geometry; solid geometry; competence
Available on request at various institutes of the ASCR
Several ways into the world of solid geometry
The contribution deals with the cultivation of competences to orient in space, to distinguish and to represent geometric solids in primary school. Some pupil´s activities, methods of model ...
Geometrical competences and their evaluation in the mathematics teaching
Roubíček, Filip
2004 - Czech
The paper deals with the cultivation of competences to orient in space, to distinguish and to represent geometric solids in primary school. Some pupul´s activities, methods of model representation and didactic games aimed to cognize geometric solids are described. Příspěvek pojednává o možnostech kultivace dovedností orientovat se v prostoru, rozeznávat a reprezentovat geometrická tělesa na prvním stupni základní školy. Popisuje žákovské aktivity, metody modelování a didaktické hry zaměřené na poznání geometrických těles.
Keywords:
teaching of geometry; solid geometry; comtepence
Available on request at various institutes of the ASCR
Geometrical competences and their evaluation in the mathematics teaching
The paper deals with the cultivation of competences to orient in space, to distinguish and to represent geometric solids in primary school. Some pupul´s activities, methods of model representation and ...
Proofs without words
Šimša, Jaromír
2004 - Czech
Proofs without words are generally pictures, diagrams or schemes that help to see why a given mathematical statement is true, and also to see how to prove it in the formal sense. Důkazy beze slov jsou obrázky nebo diagramy či schémata, která vysvětlují, proč dané tvrzení platí a současně ukazují způsob, jak provést exaktní důkaz.
Keywords:
Cosine theorem; Stewartďs formula; geometric sequences
Available at various institutes of the ASCR
Proofs without words
Proofs without words are generally pictures, diagrams or schemes that help to see why a given mathematical statement is true, and also to see how to prove it in the formal sense.
Teacherďs competences and action research in mathematics teaching
Tichá, Marie; Hošpesová, A.; Macháčková, J.
2004 - Czech
In the contribution meaningful role of systematic carrying out of self-reflection and common reflection in the professional development of teachers. Reflection and action research are shown as key items in the development of subject-didactic and pedagogical competences of teachers and in improvement of quality of mathematics education and teaching. The base of contribution is a video recording of realisation of teaching experiments designed by teachers themselves. V příspěvku je zdůrazněna významná role systematického provádění sebereflexí a kolektivních reflexí v profesním rozvoji učitele. Reflexe a akční výzkum jsou ukázány jako klíčové prvky v rozvíjení oborově didaktické i pedagogické kompetence učitele a tím i ve zkvalitňování vyučování matematice. Východiskem jsou videozáznamy z realizace vyučovacích experimentů navržených učiteli.
Keywords:
subject didactic and pedagogical competence of teacher; self-and common reflection; action research
Available on request at various institutes of the ASCR
Teacherďs competences and action research in mathematics teaching
In the contribution meaningful role of systematic carrying out of self-reflection and common reflection in the professional development of teachers. Reflection and action research are shown as key ...
Working with texts in the teaching of geometry
Roubíček, Filip
2004 - Czech
The paper deals with the possibilities of using texts and cultivation of the pupil´s competence of working with texts in the teaching of geometry. Some pupil´s activities aimed to formation and interpretation of a geometrical description of a real object. Příspěvek pojednává o možnostech využití textu a rozvíjení dovednosti žáků pracovat s textem ve vyučování geometrii. Popisuje žákovské aktivity zaměřené na tvorbu a interpretaci geometrického popisu reálného objektu.
Keywords:
teaching of geometry; working with texts; geometrical description
Available at various institutes of the ASCR
Working with texts in the teaching of geometry
The paper deals with the possibilities of using texts and cultivation of the pupil´s competence of working with texts in the teaching of geometry. Some pupil´s activities aimed to formation and ...
We learn from practice
Tichá, Marie; Hošpesová, A.
2004 - Czech
The teachers should systematically cultivate their competences. In submitted contribution we deal with improvement of teacherďs subject-didactical and pedagogical/psychological competences. Our considerations are based on samples of teachin experiments and following collective reflection of teachers and researchers. Vycházíme z přesvědčení, že učitelé by měli systematicky rozvíjet své kompetence. V tomto příspěvku se zabýváme zkvalitňováním oborově-didaktické a pedologické (Helus) kompetence učitelů prostřednictvím kolektivní reflexe. Základem našich úvah jsou příklady vyučovacích experimentů a následné kolektivní reflexe.
Keywords:
cultivation of teachers; action research; collective reflection
Available at various institutes of the ASCR
We learn from practice
The teachers should systematically cultivate their competences. In submitted contribution we deal with improvement of teacherďs subject-didactical and pedagogical/psychological competences. Our ...
The didactic game We build a house
Roubíček, Filip
2003 - Czech
In the paper is described an activity focused on developing some geometric skills, such as modelling and representing three-dimensional objects, and communication skills in the teaching of geometry. V článku je popsána aktivita zaměřená na rozvoj některých geometrických dovedností,jako jsou modelování a zobrazování trojrozměrných objektů a komunikačních dovedností ve vyučování geometrii.
Keywords:
teaching of geometry; communication
Available on request at various institutes of the ASCR
The didactic game We build a house
In the paper is described an activity focused on developing some geometric skills, such as modelling and representing three-dimensional objects, and communication skills in the teaching of geometry.
The conjugate gradient method
Křížek, Michal; Segeth, Karel
2003 - Czech
The paper introduces the main idea of the conjugate gradient method for solving large systems of linear algebraic equations. V článku je představena základní myšlenka metody sdružených gradientů pro řešení velkých soustav lineárních algebraických rovnic.
Keywords:
direct methods; iterative methods; conjugate gradients
Available at various institutes of the ASCR
The conjugate gradient method
The paper introduces the main idea of the conjugate gradient method for solving large systems of linear algebraic equations.
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