http://hdl.handle.net/11716/14351 2026-10-05T10:15:35Z 2026-10-05T10:15:35Z Pogonowski, Jerzy http://hdl.handle.net/11716/14360 2026-10-05T09:46:51Z 2016-01-01T00:00:00Z

Kontekst Przekazu w Matematyce Pogonowski, Jerzy We introduce the concept of the context of transmission. It covers the ways in which mathematical knowledge and mathematical abilities are transmitted in education and popularization of mathematics. We stress the role of intuitive explanations in these processes. Several examples of such explanations are presented, related to: linguistic explanations, perception, empirical models, and internal explanations inside mathematics itself.

2016-01-01T00:00:00Z Major, Joanna Olik-Pawlik, Bożena Ratusiński, Tadeusz Zaręba, Lidia http://hdl.handle.net/11716/14359 2026-10-05T09:39:18Z 2016-01-01T00:00:00Z

Wybrane uwagi na temat roli zadań matematycznych w procesie nauczania-uczenia się matematyki Major, Joanna; Olik-Pawlik, Bożena; Ratusiński, Tadeusz; Zaręba, Lidia The paper presents the comments relating to the role of tasks in the process of teaching and learning of mathematics in the context of education of students studying to become teachers. In the considerations part, reference was made to the fragments of undergraduate and postgraduate works, made at seminars of didactics of mathematics.

2016-01-01T00:00:00Z Jóźwik, Izabela Terepeta, Małgorzata http://hdl.handle.net/11716/14358 2026-10-05T09:24:44Z 2016-01-01T00:00:00Z

Symbolika matematyczna związana z pojęciem funkcji Jóźwik, Izabela; Terepeta, Małgorzata Mathematical texts are characterised by the occurrence of specific symbols. They may be letters (as applied, for example, by Euclid), number symbols or graphic signs with context-independent meaning. Mathematical symbols store knowledge of previous generations that provides frameworks with which to examine history of mathematical problems. In this paper, we deal with symbols related to the concept of function and related concepts like limit, and some other set theoretical or logical concepts. We focus on symbols that have survived unchanged into the present day and are commonly used. In part, we rely on the well-known book by Florian Cajori, “History of Mathematical Notations”, first published in 1928-1929. Since mathematical notation is still growing, we also present symbols emerged after [Cajori 1928-1929].

2016-01-01T00:00:00Z Górowski, Jan Łomnicki, Adam http://hdl.handle.net/11716/14357 2026-10-05T08:58:16Z 2016-01-01T00:00:00Z

O pewnej implikacji Górowski, Jan; Łomnicki, Adam The purpose of this paper is to show how the process of proving a theorem in different ways or proving generalized versions of the theorem, after learning one its proofs, influences the development of the skills of proving theorems and analysing proofs by the students of mathematics. To illustrate this process we use an elementary theorem about numbers and its generalizations, giving fourteen proofs. Proving theorems we use methods and facts which are available to high school students.

2016-01-01T00:00:00Z