Studia ad Didacticam Mathematicae Pertinentia: Recent submissions
Wyświetlanie pozycji 21-40 z 75
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Wokół twierdzenia Picka
(2010)The article concerns the phenomena connected with the Pick theory and its generalizations. It is divided into two parts. The first one includes the reflection on the part of research, during which a group of students was ... -
Umiejętność matematycznego uogólniania wśród nauczycieli i studentów matematyki specjalności nauczycielskiej (na przykładzie serii zadań "schodki")
(2010)Generalizations are very common in mathematics. A generalization may be a process (mathematical activity) and a product in the form of mathematical concepts, tasks, theorems, hypotheses, methods of reasoning and argumentation. ... -
Tożsamości dla uogólnionych symboli Newtona
(2010)In the present work the coefficients of the polynomial $(1 + z +z^2 + ... + z^{μ-1})^n$ are studied. They may be treated as a generalization of the binomial coefficients. Numerous identities for these coefficients are ... -
O średnich
(2010)This paper presents a structural approach to widely known numerical averages. Several equivalent conditions for a sequence to be an arithmetic sequence are formulated and prooved. Further, these conditions, expressed by ... -
Kilka uwag na temat liczb Fermata $F_5$ i $F_6$
(2010)In this paper we give the necessary and sufficient conditions for the number of the form $d = k.2^7 + 1$ and $d = k.2^8 + 1$ to be divisors of the Fermat numbers $F_5$ and $F_6$, respectively. Moreover, we present numerous ... -
Propozycja wykładu na temat argumentu głównego liczb zespolonych
(2010)This article deals with some theorems on the principal argument of complex numbers. This paper is a framework of the lecture on the argument of complex numbers. Moreover, it presents some remarks on the formula which is ... -
System komputerowy MIZAR narzędziem do komputerowego wspomagania nauczania w szkole wyższej
(2010)The MIZAR system is a computer system for representing mathematical proofs in such a way that the computer checks their correctness. The texts written in the MIZAR language are called Mizar articles and are organized ... -
Математическое образование в СПбГПУ
(2010)The article raises the question: What kind of mathematics is necessary for future engineers? Using some interesting examples from his experience, the author presents the idea of unity in mathematics for all users. -
Annales Universitatis Paedagogicae Cracoviensis. 82. Studia ad Didacticam Mathematicae Pertinentia 3
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2010) -
Aksjomaty wielkości i teoria miary
(2013) -
Geometria i kształcenie geometryczne we współczesnej szkole średniej i wyższej - praktyka i problemy
(2013)The present article presents the genesis of the international conference: Geometry and geometrical education in the current secondary and high school, which took place on November 22-25, 2012 in Togliatti State University. ... -
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 ... -
Информационно-коммуникационные технологии в образовании студентов специальности <<5В010900-Математика>> педагогического вуза
(2013)In the paper the authors discuss educational usefulness of special applied software (Mathematica) in the process of studying Mathematics at the pedagogical university. The authors also present the levels of the competences ... -
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 ...