Year LVIII, Issue 6, 2015<<Archive>>
Еducаtionаl Маttеrs
ERRORS RELATED TO TOPICS IN GEOMETRY, DATA REPRESENTATION AND ANALYSIS MADE BY FIFTH GRADE STUDENTS IN THE REPUBLIC OF MACEDONIA
In the learning process it is natural for omissions to occur and if they are not identified and eliminated in a timely manner, they are multiplied further on in the course of education. Therefore, one of the tasks of the mathematics instruction is to detect...
data, error, fifth grade, geometry, student
MATHEMATICAL SKILLS ARE REQUIRED IN THE CHANGING WORLD
Different treatments of the notions “skill” and “mathematical skill” are presented in the paper with regard to their relation to the notion of competence. Old and new educational standards of different countries are collected and analysed, thus outlining the f...
mathematical skill, competence, iceberg model, KSAVE model.
Еducаtionаl Rеsеаrch
HISTORICAL PREREQUISITES FOR FINGER MATH AND THE MATHEMATICS EDUCATION OF STUDENTS WITH SPECIAL EDUCATIONAL NEEDS
This article overviews the historical development of finger Math accenting on the possibilities for its implication in the teaching process of students with special educational needs, namely students with hearing loss. Other students with disabilities like d...
finger Math, mathematics education, disability, hearing loss, dyscalculia, autism
ONE MORE PROOF FOR THE DISTANCE BETWEEN THE INCENTRE AND THE ORTHOCENTRE OF THE TRIANGLE
One more proof is proposed in the present paper concerning the the distance between the incentre \((I)\) and the orthocentre \((H)\) of the triangle.
distance, incentre, orthocentre, sine law, cosine law, centroid of a triangle.
COMPUTER DISCOVERED MATHEMATICS: PEDAL CORNER PRODUCTS
Theorems about pedal corner products obtained by the computer program “Discoverer” are presented in the paper. 2010 Mathematics Subject Classification: Primary 51-04, 68T01, 68T99.
pedal corner product, triangle geometry, remarkable point, computerdiscovered mathematics, Euclidean geometry, Discoverer.
A GENERALIZATION OF THE ORTHOCENTRIC TRIANGLE
The author proposes a generalization of the orthic triangle. The generalized triangle is defined by an arbitrary point of Ceva \(P\) and it is in perspective with the reference triangle \(A B C\). We call it the \(H\)-triangle of point \(P\). We call the...
generalization of the orthic triangle, perspective triangle, perspector, notable points
FONTENÉ THEOREM WITH RESPECT TO SURCUMSCRIBED CENTRAL CONICS
A generalization of the remarkable Fontené theorem from the geometry of triangle is described in the present paper.
triangle, conic, pedal circle, pedal curve, Feuerbach configuration, Euler curve.