Year LV, Issue 2, 2012<<Archive>>
In this issue:
Articles
19-ТИ КОНКУРС „МИНКО БАЛКАНСКИ” ПО МАТЕМАТИКА И ФИЗИКА
УЧИТЕЛИ ПО МАТЕМАТИКА, ЗАЩИТИЛИ ПЪРВА И ВТОРА ПРОФЕСИОНАЛНО-КВАЛИФИКАЦИОННА СТЕПЕН ПРЕЗ 2011 Г.
SEEMOUS OLYMPIAD FOR UNIVERSITY STUDENTS
The paper considers the results of a recent International Mathematical Olympiad for University students. Solutions of the problems with methodological and heuristic details are proposed.
Olympiad, problem solving, University student, result.
EUROMATH SCIENTIFIC CONFERENCE
The paper is dedicated to a recent International Scientific Conference for secondary school students. Main parts of the Programme are described and one of the Workshops is presented with its methodological aspects.
science, innovator, researcher, fame-lab, math-factor.
FIVE WAYS TO SOLVE A PROBLEM FOR A TRIANGLE
A triangle with the property \(3 \alpha+2 \beta=180^{\circ}\) is considered in the paper. Five different ways are proposed to prove that \(a^{2}+b c=c^{2}\). The paper is of methodological character.
triangle, problem solving, trigonometry, similarity.
PROPORTIONS
„Practical nature and knowledge significance of the topic of „Proportions” are unquestionable. This knowledge is part of one‘s contemporary general culture which is essential in the extraction and presentation of information obtained by different ways and mann...
ratio, lesson plan, interdisciplinary approach
REFLECTION ON THE ACTIVITY OF SOLVING PROBLEMS
Several topics from the 9th grade curriculum are considered in the paper. An approach by reflection is proposed and the assertion is that this approach is effective in a corresponding problem solving. The assertion is not supported by a case study.
reflection, problem solving, 9th grade curriculum
A JOURNEY IN THE WORD OF COMBINATORICS
A sign on the front gate of a school in India reads: „Strive for it and do it.” Our small but ambitious team has decided to look at the Combinatorics section of the Mathematics textbook for 10th grade from another angle in order to present it in an interesting...
Combinatorics, set, compound, multiplication rule.
TANGENT CIRCLES, GENERATED BY AN INCIDENT POINT AND A LINE
Some assertions are considered in connection with the generalization of a problem from the International Mathematical Olympiad in 2011. Special notice is taken of the proofs. Inversion and a suitable Miquel point are used to simplify the computing process.
THE GEOMETER’S SKETCHPAD (GSP), triangle, circle, tangent point, Miquel point.