Year LVIII, Issue 2, 2015<<Archive>>
In this issue:
Еducаtionаl Tеchnology
SPREADSHEETS AS TOOLS FOR CONSTRUCTING MATHEMATICAL CONCEPTS
The formal representation of mathematical relations in spreadsheets is different from the usual algebraic representation and computer programs doing mathematics. We will demonstrate how this alternative representation can help understanding mathematical concep...
spreadsheet tools, spreadsheet, mathematics, programming
EDUCATION OF A MATHEMATICIAN – EXPERIMENTALIST, OR SOFT MANIFESTO OF EXPERIMENTAL MATHEMATICS
This article is written under the influence of V. I. Arnold’s works, in which he suggested the possibility of considering mathematics as an experimental science, and proved the existence of phenomena in the description of which “soft” models have an advanta...
experimental mathematics, mathematics education, dynamic geometry software, computer experiment, experimental-theoretical gap
COMPUTER-DISCOVERED MATHEMATICS: LALESCO PRODUCTS
The computer program “Discoverer”, created by the authors, is the first computer program, able easily to discover new theorems in mathematics, and possibly, the first computer program, able easily to discover new knowledge in science. In this paper we use...
geometry of the triangle, computer-discovered mathematics, Discoverer.
INDEPENDENT PROBLEM SOLVING WITH EXCEL
In this paper, the experimental medium of Excel is used for a verification of ideas, thoughts, and guesses, which arise in the process of solving harder mathematical problems. A description of methodology, which can help the student to independently solve...
problem solving, equation, numbers, tables, macros
Еducаtionаl Rеsеаrch
MODIFICATION OF THE PROJECTION METHOD TO FIND THE DISTANCE BETWEEN SKEW LINES
The present paper considers methodological approaches to the problem of finding the distance between skew lines.
skew lines, distance, projection, angle, solid geometry, methodology
GENERALIZATION OF SOME TYPES OF INDEFINITE INTEGRALS, WHICH CAN BE SOLVED BY RECURRENCE
In this article we develop a recurrence for the indefinite integrals of the famous type \(\int \tfrac{d x}{\left(a^{2}+x^{2}\right)^{n}}\) and a formula for their calculation. A new methodology and a formula for solving integrals of the type \(I_{k, \alpha}=\...
indefinite integral, recurrence, differential binomial
APPLYING CLOUD COMPUTING FOR A MORE EFFICIENT EVALUATION OF PRACTICAL PROJECTS
Significant competitive advantage both for businesses and for the other entities are the well prepared, adaptive, and constantly improving staff. One approach of the education system for the creation and development of adequate to the needs staff, is the de...
Cloud Computing; Cloud Computing in education; usage of Cloud technologies in education; project work; evaluation of project work; road map of practical projects; Cloud Computing for evaluation
APPROACHES IN DEVELOPING GUI AND WORKING WITH SEVERAL APPLICATIONS
Tasks have a very specific role in the learning of informatics and information technologies. In particular, they can be educational tools within themselves. In the process of solving a problem, students consolidate their knowledge and also discover new char...
graphical user interface, SDI and MDI applications