2003, Studia Mathematica 3
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Selected aims of teaching mathematics and the problem-solving process
(2003)The contribution will present a study, which was meant as an attempt to diagnose the realization of those aims of teaching mathematics that assume modeling active attitudes and behaviors of students during the process of ... -
The efficiency of mathematics teaching and integrated instruction at the primary level
(2003)The mathematical education in primary school is the foundation and the beginning of further learning of mathematics. A research work on the efficiency of mathematical education in early classes of primary school was done ... -
The systematical construction of aims in mathematical education
(2003)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 previous description of the most ... -
The optimal strategy in one stochastic game
(2003)The article deals with the stochastic game “Portion on three fractions” . The optimal solution in this game is investigated. -
Generalized Erlang problem for queueing systems with accumulation
(2003)We consider a non-classical $M/G/n/0$ type queueing system with random volume demands. Each demand requires $m$ servers for its simultaneous service with probability $q_m, Σ^n_{m=1} q_m = 1$. Service time of the demand ... -
On the role of translations between modes of representation - case of fractions
(2003)We believe that utilization of various modes of representation is important for concept development and deepens understanding. Many didacticians stress that the level of understanding is related to the continuos enrichment ... -
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” ...
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