Przeglądaj 2003, Studia Mathematica 3 według tytułu
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About practical exercises taken from real life
(2003)Review of bibliography. Contemporary requirements in mathematical teaching. Classification of exercises occurring in mathematics school books. Analysis of selected primary and secondary school books considering the use ... -
Annales Academiae Paedagogicae Cracoviensis. 16. Studia Mathematica 3
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2003) -
Awaiting the series of colors - stochastic graph as a means of mathematical treatment and argumentation
(2003)This paper presents methods of calculating the probability of events related to Markov’s homogeneous chains theory. The main means of argumentation being the stochastic graph. -
Combinatorics' A journey to elementary mathematics education
(2003)Combinatorics is a part of discrete mathematics. It is a part of modern mathematics that seem to penetrate into the mathematics subject taught in school. Combinatorics forms an inseparable part of the modernization of ... -
Computers and teaching mathematics
(2003)It looks as if the school shut eyes to progress. The computers help everywhere, but schools are short of them. The computers would be the most effective teaching aid. The school does not react to pupils’ knowledge reached ... -
Direction field of fingerprint image and its optimization with the help of relaxation procedures
(2003)Direction field building has an exclusive importance for common process of the classification analysis in up-to- date automatic fingerprint identification systems. All characteristics of this analysis strongly depend on ... -
Duality : random variables versus observables
(2003)We discuss some aspects of the duality between random variables and observables - one of the basic questions of probability. Besides a historical background, we mention the role of elementary events and the algebraic ... -
E-leaming in arithmetic courses delivered in the combined form of study for primary school teachers
(2003)E-learning of teaching arithmetic designed for future primary schools teachers — a combined form of study Implementation of e- learning in the distant course for future primary schools teachers based on the arithmetic ... -
The efficiency of mathematics teaching and integrated instruction at the primary level
(2003)The mathematical education in primary school is the foundation and the beginning of further learning of mathematics. A research work on the efficiency of mathematical education in early classes of primary school was done ... -
Fibonacci sequence II (helping students become active learners through guided mathematical investigations)
(2003)Elementary number theory provides a variety of topics suitable for guided investigation in mathematics (the scheme of investigation is diagramed). We demonstrate this with the help of non-traditional and fascinating topic ... -
The finite subsets of natural numbers
(2003)The article discusses relationships between triangle and square numbers. The stress is laid upon numerical equality. A finite set of these numbers and its subsets are given by software. Finding natural numbers with a ... -
Generalized Erlang problem for queueing systems with accumulation
(2003)We consider a non-classical $M/G/n/0$ type queueing system with random volume demands. Each demand requires $m$ servers for its simultaneous service with probability $q_m, Σ^n_{m=1} q_m = 1$. Service time of the demand ... -
Implicit function in the calculus infinitesimalis
(2003)The theorem about implicit function with respect to non-standard analysis in the special meaning of the Calculus Infinitesimalis is proved (see [1]). -
Learning system based on cellular automata
(2003)In this paper we present the CELLS2 system which is a learning system based on cellular automata. In the learning process CELLS2 used the Quine-McCluskey method which minimalizes boolean formulas. -
Long-term projects at school
(2003)I would like to answer the following questions duriug my presentation: 1. When to start setting long-term projects to students? 2. How to compose projects — problems? 3. How to help a student that works on a project? 4. ... -
Mathematical logic and mother tongue
(2003)Logical thinking is closely connected to the terms statement and logical evaluation (determination if it is true or false). A sentence is the language expression of thought. It means that logical thinking is closely ... -
A method of comparison of Post-complete propositional logics
(2003)In this paper we consider a necessary and sufficient condition for every propositional calculus to be Post-complete. We will show, how this condition may be used to compare consequence operations for these calculi. -
No arbitrage condition for financial market with inflation
(2003)When price dynamics in the financial market is modeled as a continuous-time mathematical model, it is assumed that the interest rates in the market follow stochastic differential equations. The noarbitrage condition in ... -
Non-Riemannian geometry and the theory of lattice imperfections
(2003)Creation and development of continuum theory of imperfections of a crystal structure (dislocations and disclinations) is closely associated with ideas and methods of non-Euclidean and non-Riemannian geometry. In the ... -
On a test concerning the notion of the set
(2003)Many students have problems with solving exercises concerning sets which elements are also sets. Many wrong solutions are due to incorrect understanding of the term set. We suggest a test which is aimed at drawing ...