Repozytorium Uniwersytetu Komisji Edukacji Narodowej: Recent submissions
Wyświetlanie pozycji 7881-7900 z 13181
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Wavelet Galerkin method for solving the Fredholm's integral equation of the second kind
(2003)Wavelets are very discussed today in many fields of mathematics. For this reason we want to show their application to solving the Fredholm’s integral equation of the second kind. The basis of discretisation of such an ... -
Space imagination as a precondition for geometry learning
(2003)In the contribution, some experience acquired in the university education of primary school prospective teachers of mathematics will be presented. Space imagination is the ability needed by everyone. Prospective teachers ... -
Topological concepts supported by PC multimedia presentation
(2003)Multimedia support as a teaching tool for topological concepts in the combined course for primary school teachers is dealt with. Basic notions like “the neighborhood of a point”, “an interior (exterior, border) point" are ... -
Combinatorics' A journey to elementary mathematics education
(2003)Combinatorics is a part of discrete mathematics. It is a part of modern mathematics that seem to penetrate into the mathematics subject taught in school. Combinatorics forms an inseparable part of the modernization of ... -
Slow divergence of the harmonic series
(2003)It is well known that the harmonic series diverges because its sequence of partial sums is not bounded. The aim of this article is to show how slow this divergence is. For this purpose, we use a simple theorem that all ... -
Implicit function in the calculus infinitesimalis
(2003)The theorem about implicit function with respect to non-standard analysis in the special meaning of the Calculus Infinitesimalis is proved (see [1]). -
Long-term projects at school
(2003)I would like to answer the following questions duriug my presentation: 1. When to start setting long-term projects to students? 2. How to compose projects — problems? 3. How to help a student that works on a project? 4. ... -
Perception of rectangular and skew structures in a row-column arrangement of figures
(2003)The aim of the reported research is identification of difficulties and natural developmental limitations in understanding of a Row-Column Arrangement of Figures (RCAF) by 10-13 years old children. RCAF includes the ... -
The "sets of generated problems" with a view to use the graph coding close to solving of given problems
(2003)The Graph Theory is not a component of standard syllabus of the elementary school, nevertheless some ideas of this theory are used in solving different problems, for example to visualization, systematization of some ... -
Some remarks about pupils' concept of a point
(2003)Our contribution deals with pupils’ conception of some elementary objects of geometry, like a point or a straight line. Pupils (of primary and secondary schools) have often many difficulties with understanding concepts ... -
Non-Riemannian geometry and the theory of lattice imperfections
(2003)Creation and development of continuum theory of imperfections of a crystal structure (dislocations and disclinations) is closely associated with ideas and methods of non-Euclidean and non-Riemannian geometry. In the ... -
Street gambling, mathematization and the mathematical expectation
(2003)Concepts, theorems and the methodology of probability calculus were born - no doubt for that - in gambling saloons. In the gambling land we find traces of history and culture, but also of sciences. The present paper ... -
The space imagination on the cube
(2003)The contribution presents some results of the space imagination research on the cube carried out on 9-to-12-year old students. The experiment is based on a task situation called “Tilting a die”, in which a student “tilts” ... -
Probability and statistics : a modular system of instruction at the University of J. E. Purkyně in Ústí nad Labem
(2003)Probability and Statistics courses are offered at three colleges of the University of J.E. Purkyne in Usti nad Labem and at the Institute of Engineering Technology. These courses make part of the required curricula for ... -
E-leaming in arithmetic courses delivered in the combined form of study for primary school teachers
(2003)E-learning of teaching arithmetic designed for future primary schools teachers — a combined form of study Implementation of e- learning in the distant course for future primary schools teachers based on the arithmetic ... -
On the understanding of geometric transformations by mathematics freshmen
(2003)Two questions will be discussed in my paper. The first one concerns difficulties the first year university students meet while learning definition of the geometrical transformation. The second question - the incorrect ... -
Prospective teachers and mathematical word problems
(2003)Mathematical word problems and the solving process of them within the framework of the system of educational aims and pedagogical competencies of primary and secondary school teachers. Experience with developing the ... -
Mathematical logic and mother tongue
(2003)Logical thinking is closely connected to the terms statement and logical evaluation (determination if it is true or false). A sentence is the language expression of thought. It means that logical thinking is closely ... -
No arbitrage condition for financial market with inflation
(2003)When price dynamics in the financial market is modeled as a continuous-time mathematical model, it is assumed that the interest rates in the market follow stochastic differential equations. The noarbitrage condition in ... -
Solutions to a certain problem illustrating the idea of fusionism in the probability theory
(2003)The solutions presented above may serve as an illustration of "the principle of internal integration”, known as the idea of liisionisiii. Three balls are selected simultaneously from an urn containing b white balls and ...