History of mathematics around the turn of the XVII. and XVIII. centuries as reflected in the letters of Johann Bernoulli and Pierre Varignon
Saxl, Ivan
2007 - Czech
The origins and development of calculus in the correspondence of Johann Bernoulli and Pierre Varignon. Odraz vzniku a rozvoje infinitesimálního počtu v korespondenci Johanna Bernoulli a Pierra Varignona
Keywords:
Johann Bernoulli; Pierre Varignon; correspondence
Available at various institutes of the ASCR
History of mathematics around the turn of the XVII. and XVIII. centuries as reflected in the letters of Johann Bernoulli and Pierre Varignon
The origins and development of calculus in the correspondence of Johann Bernoulli and Pierre Varignon.
Optimal control of linear dynamical systems with a quadratic criterion
Křížek, Michal; Šolcová, A.
2007 - Czech
We study linear dynamical systems with a quadratic criterion. We prove that the minimum of a criterion functional depends ounly on the initial value of the optimal control. V článku vyšetřujeme lineární dynamické systémy s kvadratickým kritériem. Dokazujeme, že hodnota minima kriteriálního funkcionálu závisí jen na hodnotě optimálního řízení v počátečním bodě a že na hodnotách optimálního řízení v dalších bodech nezávisí.
Keywords:
Bellman optimality principle; optimal trajectory; finite element method
Available at various institutes of the ASCR
Optimal control of linear dynamical systems with a quadratic criterion
We study linear dynamical systems with a quadratic criterion. We prove that the minimum of a criterion functional depends ounly on the initial value of the optimal control.
Merton calculators
Saxl, Ivan
2006 - Czech
Origins of kinematics and dynamics in Oxford in XIVth century Počátky kinematiky a dynamiky v Oxfordu ve XIV. století
Keywords:
metron calculators; Brodvardine; Heytesbury
Available at various institutes of the ASCR
Merton calculators
Origins of kinematics and dynamics in Oxford in XIVth century
Geometric constructions from the point of view of various didactic environments
Roubíček, Filip
2006 - Czech
The paper describes three didactic environments as an alternative to drawing. They concern constructions of geometric figures using puzzles, folding paper and using strings. These representational environments are presented on constructions of polygons. Článek popisuje tři didaktická prostředí jako alternativu k rýsování. Týkají se konstrukcí geometrických útvarů užitím skládaček, překládáním papíru a pomocí provázku. Reprezentační prostředí jsou prezentována na konstrukcích mnohoúhelníků.
Keywords:
teaching of geometry; representation; construction
Available at various institutes of the ASCR
Geometric constructions from the point of view of various didactic environments
The paper describes three didactic environments as an alternative to drawing. They concern constructions of geometric figures using puzzles, folding paper and using strings. These representational ...
Some problems in communication teacher - pupil
Roubíček, Filip
2006 - Czech
The paper concerns selected problems in communication between the teacher and the pupil. It describes their main causes: different mental representations, not distinguishing between of the communication contexts, non-accepting of conventional writing forms, insufficient acquaintance with rules of usage of semiotic systems and alternative forms of mathematical writing Článek se zabývá vybranými problémy v komunikaci mezi učitelem a žákem. Popisuje jejich hlavní příčiny: rozdílnost mentálních reprezentací, rozlišování kontextů komunikace, nepřijetí konvenčních forem zápisu, nedostatečné seznámení s pravidly pro užití znakových systémů a alternativními formami matematických zápisů
Keywords:
teaching of mathematics; communication; representation
Available on request at various institutes of the ASCR
Some problems in communication teacher - pupil
The paper concerns selected problems in communication between the teacher and the pupil. It describes their main causes: different mental representations, not distinguishing between of the ...
Following the path of teachers´competence empovering
Macháčková, Jana; Tichá, Marie
2006 - Czech
As the core of the professional growth of teachers we understand the cultivation of their subject-didactical competence. It means empowering the knowledge of subject and its didactical elaboration as well as practical capability. In the contribution we show the differences in individual written reflections of teachers. The contribution of the joint reflection to the improvement of professional competence of teachers is outlined. Za jádro profesního růstu učitelů považujeme kultivaci jejich oborově didaktické kompetence. To znamená kultivaci znalosti oboru a jeho didaktického zpracování i dovednost jeho realizace v praxi. V příspěvku jsou ukázány rozdíly v individuálních reflexích učitelů, kteří mají různou míru zkušeností s prováděním reflexe a je naznačen přínos kolektivní reflexe při zvyšování profesionální kompetence učitelů.
Keywords:
professionalisation of teacher´s work; individual reflection; qualified join reflection
Available at various institutes of the ASCR
Following the path of teachers´competence empovering
As the core of the professional growth of teachers we understand the cultivation of their subject-didactical competence. It means empowering the knowledge of subject and its didactical elaboration as ...
Reflection and professionalisation of teacher´s work
Tichá, Marie
2006 - Czech
The need of professionalisation of teachers´ work grows. Therefore the cultivation especially of subject didactical competence is necessary. It includes not only acquirement of mathematical core of subject and its didactic elaboration but also the capability of creation of social climate that is suitable for students´cognition. One of the ways is realisation of qualified pedagogical reflection. Potřeba profesionalizace práce učitele roste. Proto je třeba kultivovat především oborově didaktické kompetence učitelů. To zahrnuje nejen zvládnutí matematického jádra vyučovacího předmětu a jeho didaktického zpracování, ale i způsobilost vytvořit tvůrčí sociální klima pro poznávání žáků. Jednou z cest je realizování kvalifikované pedagogické reflexe.
Keywords:
qualified pedagogical reflection; self-reflection; joint reflection
Available on request at various institutes of the ASCR
Reflection and professionalisation of teacher´s work
The need of professionalisation of teachers´ work grows. Therefore the cultivation especially of subject didactical competence is necessary. It includes not only acquirement of mathematical core of ...
Probability and statistics in our everyday life
Saxl, Ivan
2006 - Czech
Overview of random events accompanying our everyday life and notes concerning the statistical education. Přehled náhodných jevů provázejících náš každodenní život a poznámky k didaktice statistiky
Keywords:
statistical literacy; didactics of statistics
Available at various institutes of the ASCR
Probability and statistics in our everyday life
Overview of random events accompanying our everyday life and notes concerning the statistical education.
Superkonvergence of the finite element method
Křížek, Michal
2006 - Czech
We give a survey of superconvergence phenomena of the finite element method. Further we describe Zlámal´s contribution to the theory of superconvergence. Je podán přehled výsledků o superkonvergenci metody konečných prvků. Dále je popsán přínos prof. Zlámala k teorii superkonvergence.
Keywords:
superconvergence; Gauss points; Zlámal
Available at various institutes of the ASCR
Superkonvergence of the finite element method
We give a survey of superconvergence phenomena of the finite element method. Further we describe Zlámal´s contribution to the theory of superconvergence.
Problems for the MO - breakthrough ideas, or routine manipulations?
Šimša, Jaromír
2005 - Czech
The contribution focuses on the features of problems from the Mathematical Olympiad which should distinguish them from usual problems from mathematics lessons. The author illustrates his considerations by the analysis of recent MO problems proposed by himself. Příspěvek je zamyšlením autora nad otázkou, jaké rysy by měly odlišovat úlohy matematické olympiády od úloh z běžných hodin školské matematiky. Vyslovené postřehy jsou ilustrovány rozborem konkrétních úloh MO navržených autorem.
Keywords:
mathematical contests; problem solving
Available at various institutes of the ASCR
Problems for the MO - breakthrough ideas, or routine manipulations?
The contribution focuses on the features of problems from the Mathematical Olympiad which should distinguish them from usual problems from mathematics lessons. The author illustrates his ...
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