Displaying similar documents to “Matematyzacja, modelowanie, model”

INNOWACJE W EDUKACJI REGIONALNEJ

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Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

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WSPOMNIENIA O PROFESORZE JANIE FLISIE

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Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

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Co słychać?

Renata Jurasińska (2018)

Matematyka Poglądowa

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Co słychać?

Renata Jurasińska (2017)

Matematyka Poglądowa

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Wokół twierdzenia Picka

Joanna Major, Maciej Major (2010)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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O średnich

Jan Górowski, Adam Łomnicki (2010)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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Wstęp

Antoni Chronowski, Maciej Klakla (2006)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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Different ways of solving quadratic equations

Barbara Pieronkiewicz, James Tanton (2019)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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In this paper we explore different ways of solving quadratic equations. Our main goal is to review traditional textbooks methods and offer an alternative, often side-stepped method based on the area model. We conclude that whereas traditional methods offer effective algorithms that quickly lead to the desired results, alternative methods may enhance meaningful and joyful learning.

Co możemy opisać układem dynamicznym?

Urszula Foryś (2014)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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In this paper we present several examples of simple dynamical systemsdescribing various real processes. We start from well know Fibonaccisequence, through Lotka-Volterra model of prey-predator system, love affairdynamics, ending with modelling of tumour growth.

Kronika

(1902)

Wiadomości Matematyczne

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Uroczystości urodzin Abela. str. 358-359

ARTYKUŁY

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Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

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INNOWACJE W EDUKACJI SZKOLNEJ

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Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

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O liczbach ujemnych z perspektywy historycznej i dydaktycznej

Piotr Błaszczyk, Mirosława Sajka (2017)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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We identify two ways of introducing negative numbers. In the first one, a totally ordered set (L, ≺ ) is presupposed, an element 0 in L is arbitrarily taken, and a number a is negative when a 0. In the second one, a negative number is defined by the formula a + (−a) = 0. From a mathematical perspective, the first method involves the idea of a totally ordered group (G,+, 0,<), while the second one considers the idea of the algebraic group (G,+, 0) alone. Through the analysis of source...

Ziarnista przestrzeń probabilistyczna w stochastyce dla nauczyciela - dydaktyczne osobliwości

Adam Płocki (2006)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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The paper deals with the notion of a probability space as a mathematical object, and also as a mathematical model of a real nonmathematical situation. A construction of probability spaces with the tools of mathematical analysis and geometry is proposed. Geometrical and physical interpretations of the discrete probability space are offered as well.

Nekrologia

(1898)

Wiadomości Matematyczne

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Francesco Brioschi (S. Dickstein). str. 66-67 Ernst Christian, Juliusz Schering str 68