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1
Content available remote Matematyka w polskiej szkole u progu nowego stulecia
PL
W niniejszym eseju scharakteryzowane zostały – podejmowane przez MEN i MNiSW – działania na rzecz poprawy efektywności kształcenia w polskim systemie edukacyjnym, ze szczególnym uwzglednieniem kształcenia matematycznego.
EN
One of the most fundamental concepts of the mathematical analysis is the Riemann integral. For a teacher of mathematics the concept of the integral is important because of the connections with the Jordan measure which is considered in the elementary geometry. Besides the Riemann integral the course of mathematical analysis includes multiple integrals, line integrals and surface integrals. In this paper we present the results of our research concerning the difficulties of students in noticing mutual connections between different kinds of integrals.
EN
Uncommon mathematical problems play an important role in childrens’ education in mathematics. These exercises inspire creativity in children and help them develop a sense of divergent thinking. Pedagogics students, as future teachers, must not only recognize the value of such mathematical problems, but must also be able to solve them. This article is a presentation of the skills of the students in this regard.
5
Content available remote Electronic textbook in LMS Moodle
EN
Moodle is the software used as a tool for on-line distance learning as well as a support for face-to-face teaching. The article outlines the structure of electronic textbook for LMS Moodle and the ways in which it can be utilised in training prospective elementary mathematics teachers under conditions of Prešov’s Faculty of Education.
6
Content available remote Compensation of students’ handicap in mathematical disciplines
EN
Repetitorium of mathematics, which has been suggested as a part of the Teacher training for elementary schools programme in all forms of study, is aimed at levelling basic mathematical knowledge and skills of students entering university from various types of secondary schools with various positions of mathematics in the curricula.
PL
Treścią artykułu jest analiza wybranych zagadnień z techniki lotniczej, takich jak: dynamika lotu samolotu, systemy sterowania lotem, nawigacja, optymalne projektowanie statków powietrznych, dokonana w celu wyodrębnienia pojęć i metod matematycznych, które służą ich opisowi teoretycznemu. W oparciu o ten materiał przedstawiony został wykaz treści programowych z matematyki, które powinny zostać ujęte w programie kształcenia słuchaczy WSOSP na poziomach: inżynierskim, magisterskim i podyplomowym.
EN
In education there are two elementary systems: the students and society, and one auxiliary, intermediary system: the teacher. The construction of aims in mathematical instruction requires a previous description of the most important educational proprieties and needs of both society and the student who is being gradually included in it. It follows from that: 1. the basic subject of school education is the individual student and the essence of the educational process should be based on learning; where as the teacher and the student's nearest environment (i.e. school) should be the organizer of learning, 2. school education should be a solid foundation for further education (including self-education), which equips the learner with relatively long-lasting and useful knowledge as well as with the skill of the widening and applying the knowledge. Student's intellectual development is possible only in the process of active and directed work containing receipting, gaining, transformating and applying the information. So it should be "education trough using mathematics, not only mathematics for itself "- the students should build their own cognitive schemas.
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