Przeglądaj 2015, Studia ad Didacticam Mathematicae Pertinentia 7 według daty wydania
Wyświetlanie pozycji 1-13 z 13
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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) ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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. ... -
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 ... -
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 ... -
Annales Universitatis Paedagogicae Cracoviensis. 196. Studia ad Didacticam Mathematicae Pertinentia 7
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2015) -
Podrecznik algebry. Wprowadzenie
(2015)