Studia ad Calculum Probabilitatis Eiusque Didacticam Pertinentia
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Aplikacja łańcuchów Markowa do gier losowych
(2008)The article deals with generalization a stochastic games described in [6] for case three players. The Perron’s formula and theory of Markov’s chains are used. -
Pewne aspekty rozwiązywania zadań kombinatorycznych
(2008)Analysing a large number of pupils solutions of combinatory tasks it is evident that solving such task is a multifaceted process with some hidden traps. Based on the analysis, some elements of solution combinatory ... -
Graf i digraf jako ikoniczne środki stochastycznych argumentacji
(2008)The work concerns the role of graphs (diagrams) as geometrical tools of mathematization and argumentation in school stochastics. -
Ziarnista przestrzeń probabilistyczna i jej tangram - geometryczne argumentacje w stochastyce
(2008)The work concerns the concept of grain probabilistic space, forms of its geometrical presentations, some of its interpretations on reality ground and the activity of transferring the mathematical contents from one form ... -
Argumentacje w przeliczalnych przestrzeniach probabilistycznych na przykładzie gier Penneya
(2008)This paper presents the results of a test performed on mathematical students concerning various arguments in countable probabilistic spaces. Most arguments ware based on symetry revealed by the stochastic tree, stochastic ... -
Zadania z rachunku prawdopodobieństwa a zasada integracji w nauczaniu matematyki
(2008)Some examples of exercises in probability from the secondary school books axe discussed. In author’s opinion they combine contents from various branches of mathematics in an artificial way. Next part of the paper contains ... -
Wartość oczekiwana zmiennej losowej i jej fizyczna interpretacja
(2008)A physical interpretation of the notion of the expected value of a random variable is considered. Relationships between the center of mass of a solid and the expected value of a random variable are showed. -
Waga zbioru tras prowadzących do węzła brzegowego na grafie stochastycznym złożonym
(2008)In this paper we present a method of calculating the weight factor of all traces leading to a fixed boundary node in a stochastic graph. The results obtained here find application in calculating probabilities of some ... -
O prawdopodobieństwie geometrycznym
(2008)Similarly like classical probability, the origin of the geometric probability is also connected with gambles. Nowadays it solves problems that are common for the real life but also the problems of many scientific branches. ... -
Kurs stochastyki dla nauczycieli
(2008)The paper suggests methods of introducing basic concepts of combinatorics, probability and statistics. There is also a survey of frequent mistakes made by students, and suggestions are made for prevention and remedy. -
Kalkulatory graficzne i komputery a testy istotności
(2002)In the first part of this paper we show how to determine, using a CASIO graphic calculator, the power of a significance test. The suitable programmes, prepared by the author, are attached in the annex. In the second part ... -
Sprawiedliwe i niesprawiedliwe gry stochastyczne
(2002)The article deals with analysis of two examples of simple stochastic games. There is mainly examined probability of win of individual players $G_A$ and $G_B$. Regarding these probabilities the stochastic games are ... -
Symetrie a proces matematyzacji, rachunki i dedukcja w rachunku prawdopodobieństwa
(2002)This paper deals with symmetry as a specific mathematical means (constructing probabilistic models of certain statistical experiments) and device in the organisation of the calculation phase of a solution and deduction ... -
Komputerowy program Maple w nauczaniu rachunku prawdopodobieństwa
(2002)The aim of this paper is to establish a few examples of how Maple, one of the up-to-date computer algebra systems, can be used in a process of teaching of the calculus of probability. After some general remarks and ... -
Wartość oczekiwana czasu trwania pewnych doświadczeń losowych o losowej liczbie etapów
(2002)This paper presents new ways of calculating the expected valves of certain random variables in countable probabilistic spaces. These methods are based on the interpretation of the duration of these random experiment of ... -
Stochastic and statistic in elementary school teacher's studies
(2002)The article contents examples of mathematical education of stochastics and statistics in lessons for future elementary school teachers studying at the Pedagogical Faculty of University of Jan Evangelista Purkyne in Usti ... -
Własności prawdopodobieństwa błędnie sugerowane przez prawdopodobieństwo klasyczne
(2002)The test discussed in this paper is a specific set of problems used to asses certain competences in the domain of the probability theory and in the domain of logic. The content of each problem placed in this test verifies ... -
Nietendencyjność losowania metodą „marynarza* jako problem stochastyczny
(2002)The main objective of this paper is the answer to the question: „Is using the „sailor” method fair, when choosing a random person?” In this method, at the appointed sign, each participant n sticks out 1 to 5 fingers of ... -
Osobliwe własności modeli probabilistycznych czekania na serie sukcesów i porażek
(2002)This paper concerns, specific, not well known but simultaneously elementary means of argumentation used in the process of constructing probabilistic spaces and calculating the probability in those spaces. The above ...