Year LVI, Issue 2, 2013<<Archive>>
In this issue:
Articles
EXPERIMENTAL MATHEMATICS AT SCHOOL
The paper presents a review of ideas concerning the place and the role of experiment in Mathematics teaching.
Socratic style, experimental approach, synthetic competence, individual educational trajectory.
„EXIT INTO THE SPACE“ BY INTERACTIVE GEOMETRIC ENVIRONMENT
The paper presents a methodological approach to the applicable possibilities of interactive geometric environment for the creation of virtual instrumental models of geometric objects. The authors show how „exit into the space“ and „going to the plane“ could b...
Geometry education, interactive geometric environment, virtual model of instrumental type
MATHEMATICS WITH COMPUTER
The authors discuss the use of programming language to solve curriculum mathematical problems in high school. A programme is proposed for the solution of a particular problem.
problem solving, computer, programming language, browser, JavaScript, PHP, the money-exchanging problem
INFORMATION TECHNOLOGIES IN MATHEMATICS EDUCATION: TOOL FOR OR BARRIER AGAINST FORMING ABSTRACT THINKING
In the article is reviewed the current state of using ICT in education in general and specifically in the field of mathematics education. Special attention is devoted to the fundamental goal of mathematics education – to develop abstract thinking and the abil...
mathematics education, integration of IT in education интегриране, abstract thinking, school practice
INTERACTIVE STUDY OF CIRCUMSCRIBED QUADRILATERALS IN DYNAMIC ENVIRONMENT
The paper is dedicated to the computer based inquiry approach to the topic of circumscribed quadrilaterals.
learning, circumscribed quadrilateral, computer, dynamical environment.
ELLIPTIC ARBELOS
The article considers an extension of the concept of the Archimedes arbelos. The elliptic arbelos consists of two circles (generating circles) which define an ellipse with foci in their centers. Three types of elliptic arbeloses are considered: tangential,...
elliptic arbelos, Sangaku, Archimedes’ circles
THREE PROPERTIES OF THE TRIANGLE GENERATED BY ITS ALTITUDES
A problem from the International Mathematical Olympiad in 2012 is investigated by means of the computer software „THE GEOMETER’S SKETCHPAD“. Some interesting properties of the triangle in connection with its altitudes are discovered and proved.
problem solving, triangle, altitude, THE GEOMETER’S SKETCHPAD
MARKETING RESEARCH WITH SCHOOL KNOWLEDGE
There are some applications of mathematical knowledge of elementary geometry, which is taught at the secondary school level, and the programming environment GeoGebra, for the solution of practical problems in the market distribution of consumers of goods an...
dynamic software, GeoGebra, practical tasks