Przeglądaj 2003, Studia Mathematica 3 według daty wydania
Wyświetlanie pozycji 1-20 z 48
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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 ... -
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 ... -
Solutions to a certain problem illustrating the idea of fusionism in the probability theory
(2003)The solutions presented above may serve as an illustration of "the principle of internal integration”, known as the idea of liisionisiii. Three balls are selected simultaneously from an urn containing b white balls and ... -
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 ... -
Wallas - Polya - Hadamard and creativity
(2003)Comparison of theories of G. Wallas and G. Polya with school practice Wallas: 1. Preparation (hard work on a problem). 2. Incubation (concious preparation is changed into unconscious mechanism of searching for the ... -
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. -
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 ... -
The systematical construction of aims in mathematical education
(2003)In education there are two elementary systems: the students and society, and one auxiliary, intermediary system: the teacher. The construction of aims in mathematical instruction requires previous description of the most ... -
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 ... -
Selected aims of teaching mathematics and the problem-solving process
(2003)The contribution will present a study, which was meant as an attempt to diagnose the realization of those aims of teaching mathematics that assume modeling active attitudes and behaviors of students during the process of ... -
Wavelet Galerkin method for solving the Fredholm's integral equation of the second kind
(2003)Wavelets are very discussed today in many fields of mathematics. For this reason we want to show their application to solving the Fredholm’s integral equation of the second kind. The basis of discretisation of such an ... -
Space imagination as a precondition for geometry learning
(2003)In the contribution, some experience acquired in the university education of primary school prospective teachers of mathematics will be presented. Space imagination is the ability needed by everyone. Prospective teachers ... -
The optimal strategy in one stochastic game
(2003)The article deals with the stochastic game “Portion on three fractions” . The optimal solution in this game is investigated. -
Projects in teaching mathematics
(2003)The aim of contemporary education is to build a partner relationship between teacher and pupil while picking up new subject matter. Project education gives enough possibilities for forming this relationship. A teacher ... -
The role of nolation in mathematics
(2003)In this paper, the historical development of the Cardan’s rule notation is presented. Some descriptions with respect to the linear and/or structured form of texts are compared, and also the exactness of these descriptions ... -
POWER SET-problems with understanding the idea
(2003)The article concerns some symbols introduced in the first year of mathematics studies and problems of understanding them by students. We will show it in the idea of power set. A sequence of didactic activities proposed ... -
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. -
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 ... -
Students' ideas about infinity
(2003)An analysis of students’ ideas associated with the terms finite and infinite is presented. It is based on research we carried out in the years 1998-2000 at thirty elementary and secondary comprehensive schools in the ... -
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.