Browsing Studia ad Didacticam Mathematicae Pertinentia by Title
Now showing items 1-20 of 88
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Akademik W. M. Monachow - niezwykły człowiek, uczony, dydaktyk i organizator nauki
(2012)The authors refer to the atmosphere, the issues and the results of this year international conference in Togliatti'2011 dedicated to 75 years of the academician W. M. Monachow. The authors remind his way to creative development ... -
Aksjomaty wielkości i teoria miary
(2013) -
Aktywności matematyczne studentów inspirowane grami Penneya
(2006)This paper proposes a way to adapt theories of countable probabilistic spaces in order to use them to educate mathematical students trained to be teachers. It presents many examples of how to develop students' mathematical ... -
Analiza błędów z geometrii elementarnej popełnianych przez kandydatów na studia matematyczne w Akademii Pedagogicznej w Krakowie dokonana na podstawie wyników egzaminów wstępnych na kierunek matematyka w latach 2003 i 2004
(2006)In the article the errors in the solutions of geometry problems made by the candidates for the rst year of the mathematical studies at the Pedagogical University of Cracow during the entrance examinations in 2003 and ... -
Annales Academiae Paedagogicae Cracoviensis. 36. Studia ad Didacticam Mathematicae Pertinentia 1
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2006) -
Annales Universitatis Paedagogicae Cracoviensis. 110. Studia ad Didacticam Mathematicae Pertinentia 4
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2012) -
Annales Universitatis Paedagogicae Cracoviensis. 141. Studia ad Didacticam Mathematicae Pertinentia 5
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2013) -
Annales Universitatis Paedagogicae Cracoviensis. 163. Studia ad Didacticam Mathematicae Pertinentia 6
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2014) -
Annales Universitatis Paedagogicae Cracoviensis. 65. Studia ad Didacticam Mathematicae Pertinentia 2
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2009) -
Annales Universitatis Paedagogicae Cracoviensis. 82. Studia ad Didacticam Mathematicae Pertinentia 3
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2010) -
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. -
Calculus without the concept of limit
(2014)There are two different approaches to nonstandard analysis: semantic (model-theoretic) and syntactic (axiomatic). Both of these approaches require some knowledge of mathematical logic. We present a method based on an ... -
Cechy równoboczności trójkątów
(2012)The paper presents some non-standard (in the sense: not yet presented in the literature), necessary and sufficient conditions for a triangle to be isosceles. -
Co możemy opisać układem dynamicznym?
(2014)In this paper we present several examples of simple dynamical systems describing various real processes. We start from well know Fibonacci sequence, through Lotka-Volterra model of prey-predator system, love affair dynamics, ... -
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 ... -
Dokształcanie i doskonalenie nauczycieli na studiach podyplomowych
(2006)The project presents an outline of a general concept of teacher training and self-improvement in the postgraduate courses. The general proposals are illustrated with an example of postgraduate Studies in Mathematics. -
Elementy Teorii Funkcji
(2014) -
Fibonacci polynominals of order $k$
(2014)In this paper we give formulas determining the Fibonacci polynomials of order $k$ using the so-called generalized Newton symbols, i.e., the coefficients in the expansion of $(1+z +z^2 +. . .+z^{k−1})^n$ with respect to ... -
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. ... -
Gotowa wiedza i aktywność w matematycznym kształcenia na przykładzie kątów Langleya
(2006)The article contains a didactic project of classes with mathematics students { future teachers. On the example of problems related to Langley's angles, the author presents di erences between two styles of teaching ...