Artykuły naukowe (WMFT): Recent submissions
Wyświetlanie pozycji 241-260 z 758
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O badaniach nad kształtowaniem się u studentów matematyki podstawowych pojęć analizy matematycznej
(2013)This paper is a reflection on the process of forming the basic concepts of mathematical analysis in students. These studies were conducted in the years 2002-2011 and they coincided with the period of major educational reforms ... -
Z badań nad analizą rysunku i odkrywaniem własności funkcji
(2013)The article presents remarks regarding analysis of drawings and the use of the data contained therein in resolving mathematical tasks. A particular type of drawing is considered, which is a graph of a function. The ... -
Nowe spojrzenie na gry Penneya
(2013)The problem of gaming is an important part of the educational process on all levels of Mathematics teaching. In this work we present certain stochastic problems, based on the so-called Penney games. It provides ... -
Prime counting function π
(2013)The aim of this paper is to derive new explicit formulas for the function π, where π(x) denotes the number of primes not exceeding x. Some justifications and generalisations of the formulas obtained byWillans (1964), Minac ... -
Kilka uogólnień reguł pewnej gry strategicznej
(2013)In the paper a set of strategy games is presented. It is shown how the “manipulative” developing of the winning strategy of a known and simple game can lead to conceptual reasoning based on reduction; then it is ... -
Around the Wilson's theorem
(2013)In this paper some known conditions and new congruences characterising prime numbers are given. Some of them are obtained by the generalised Wilson theorem given by Gauss. The elementary proof of this theorem is also presented. -
Twierdzenie Bézouta o przecięciu krzywych algebraicznych w pracach Eulera
(2013)In the paper an early history of the Bézout theorem on algebraic curves and effective methods in elimination theory is presented. The hypothesis, stated in 1665 by Newton, on the ”intersection number” of algebraic curves ... -
Uporządkowane struktury liczbowe
(2013)In this article we consider the ordered algebraic structures of the systems of natural numbers, integers, rational and real numbers. We present the ordered algebra of natural numbers, the ordered ring of integers, and ... -
O fałszywych przekonaniach obserwowanych na zajęciach z analizy matematycznej
(2009)In this paper we present the results of our research carried out among the students of the first, second and third years of mathematical studies in the years 2003-2006. The research was focused on the diffi- culties ... -
Diagnoza wiedzy uczniów szkół ponadgimnazjalnych i studentów matematyki na temat związku twierdzenia z jego dowodem
(2009)The paper presents results of research carried out on the two following levels of mathematics education: the high school level and the level of pre-service Mathematics teachers training. The subject of the research was ... -
O zastosowaniu sumowania według Eisensteina do pewnej sumy podwójnej
(2009)The lattice sum $S_2$ for the square array conditionally converges. Having used physical arguments, Rayleigh chose an order of summation in such a way that $S_2$ = π. The Eisenstein summation method applied to $S_2$ ... -
Wybrane problemy zadań konstrukcyjnych na płaszczyźnie euklidesowej i wykorzystanie do ich rozwiązywania twierdzeń geometrii rzutowej
(2009)The article gives examples of construction tasks of first and second degree on a Euclidean plane, which can be solved with the use of a simple ruler. For this purpose the theoretical backgrounds of projective geometry ... -
Idea czynnościowego wprowadzania pojęć geometrii elementarnej z pomocą kursu e-learningowego
(2009)The present article introduces a didactic proposal of supporting the process of teaching mathematics with blended learning. The authors discuss both benefits and dangers of this idea. Also, the concept of functional method ... -
Wprowadzenie funkcji trygonometrycznych przez szeregi Eisensteina
(2009)In the paper we describe how to introduce the trigonometric functions using their functional characteristics and the Eisenstein series.