Repozytorium Uniwersytetu Komisji Edukacji Narodowej: Recent submissions
Wyświetlanie pozycji 1-20 z 13246
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Podrecznik algebry. Wprowadzenie
(2015) -
The role of visualisation in the process of generalisation
(2015)In my paper, I discuss the results of individual observations of pupils aged 13-14. These children undertook an attempt to solve problems which were designed in order to bring about an inductive type of generalizing. The ... -
Wokół liczb i szeregów harmonicznych
(2015)The harmonic series is one of the most celebrated infinite series ofmathematics. From a pedagogical point of view, the harmonic series providesa wealth of opportunities. Applications such as Gabriel’s wedding cake ... -
High School Identities
(2015)In 1969, Polish mathematician and logician, Alfred Tarski asked if all the identities true in the set of natural numbers involving the constant 1, addition, multiplication, and exponentiation can be derived from the ... -
O zjawisku zniekształcania obrazu matematyki
(2015)In this paper, we identify the phenomenon of false conviction. We analyze the definition of false conviction and provide the typology of false convictions, including their logical, geometric, cognitive and methodological types. ... -
Introduction to E. Nelson’s internal set theory
(2015)An axiomatic approach to Non-standard Analysis by E. Nelson is presented in a simplified form. The main aim of the article is strictly the popularization of NSA, and not its foundations. No special preparation in mathematical ... -
Wykorzystanie prac Stanisława Dróżdża jako środków dydaktycznych w nauczaniu
(2015)As far as teaching practice in mathematics is concerned, we use different methods, forms and tools, which enable pupils to acquire both theoretical knowledge and practical skills more efficiently. Stanisław Dróżdż (1939-2007) ... -
Quasi-arithmetic means
(2015)We present a list of geometric problems with solutions that lead to known or less known means. We also prove, by elementary means, some property for so-called quasi-arithmetic means. We use the proved result to justify ... -
Iterations of homographic functions and recurrence equations involving a homographic function
(2015)The formulas for the $m$-th iterate $(m \in N)$ of an arbitrary homographicfunction $H$ are determined and the necessary and sufficient conditions for a solution ofthe equation $y_{m+1} = H(y_m)$, $m \in N$ to be an ... -
Leonardo Pisano called Fibonacci, between advanced mathematics, history of mathematics and mathematics education: three examples drawn from Liber Quadratorum
(2015)In this research, three problems faced by Leonardo Pisano, called Fibonacci, are dealt with. The main purpose is to show that history of mathematics can offer interesting material for mathematics education. The approach ... -
Annales Universitatis Paedagogicae Cracoviensis. 196. Studia ad Didacticam Mathematicae Pertinentia 7
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2015) -
Tradycja i nowoczesność we wzorach ról kobiecych w Polsce
(2015)The article discusses the changes in models of women’s role including the period of actual socialism and new socio-systematic reality after 1989. The main aim is to prove that discrimination of women in the public sphere ... -
Rządzeni o rządzących. Problem alienacji i niereprezentatywności polskiej klasy politycznej
(2015)The main object of analyses provided in the paper is one of the key problems of contemporary Poland’s democracy, i.e. the “destructive” model of political rivalry. Action aimed at discrediting a rival in direct “confrontation” ... -
Autorytet władzy – władza autorytetu. Autorytety w polskiej przestrzeni publicznej
(2015)The main object of the analysis was to answer whether contemporary Poland faces a crisis of authority. The notion is considered in two dimensions: authority of power and power of authority. It needs to be determined ... -
Dwa narody – przypadek mniejszości niemieckiej na Śląsku Opolskim po 1989 roku
(2015)The article deals with the condition of German minority in Śląsk Opolski since the political system transformation in 1989 up until today. The author focuses on the most important aspects: coexistence within the voivodeship, ... -
Prawo i Sprawiedliwość i Liga Polskich Rodzin we wspólnocie rządzenia 2005–2007. Obraz prasowy koalicji na podstawie analizy materiałów prasowych w dzienniku „Rzeczpospolita”
(2015)The article analyzes the functioning of the PiS – LPR – Samoobrona coalition (Law and Justice – League of Polish Families – Self-Defence of the Republic of Poland coalition). The analysis was limited to just two of those ... -
Wewnątrzpartyjne konflikty w głosowaniach sejmowych w PO i PiS w latach 2001–2014
(2015)The aim of the article was to analyze the inconsistent votings from the period 2001–2014, that is those votings which revealed inner conflicts or disharmonies in the two biggest Polish political parties – Platforma ...