Julia Ninova

• PhD
• Sofia University "St. Kliment Ohridski"

Сборник с научни статии от годишен семинар на катедра „Обучение по математика и информатика“, октомври 2022 г.

На 28 септември 2022 г. се навършиха 10 години от кончината на проф. д.п.н. Иван Ганчев Донев. Бидейки първи зачислен аспирант, първи доктор на науките и първи професор в направлението Методика на обучението по математика в България, той несъмнено е личност, която остави изключително ярка и трайна следа в науката и в образованието у нас. В статията...

На 28 септември 2022 г. се навършиха 10 години от кончината на проф. дпн Иван Ганчев Донев. В знак на дълбокото ни уважение към неговата личност и изключителната ни признателност към просветната му дейност, решихме да споделим някои лични спомени и разкази за него. Нека заветът, който проф. Ганчев ни остави, да се съхрани за бъдещите поколения и да...

The article examines a not completely solved didactic problem, which is worked upon by various authors - psychologists and methodologists. This is an another attempt to find a solution to part of the problem of forming skills in students to perform contextual recoding. This activity is performed when solving problems and proving statements, but is...

The article discusses a didactic technology for compiling a system of problems forintroducing geometric concepts in grade 7.–8. and to master their definitions. Theactivities of the teacher, realized at different levels, are specified. The different levelsat which these activities are carried out also determine their specific means. Thetechnology i...

The article describes a model of didactic technology for generating a system of problems. A combination of the stages of knowledge acquisition, staging of systems design, described in the literature are observed when specifying the technology, which are partially supplemented. The structure and the components, of a specific technology for creating...

By suitable examples we illustrate an algorithm for composition of inverse problems.

In the paper different kinds of proof of a given statement are discussed. Detailed descriptions of direct and indirect methods of proof are given. Logical models illustrate the essence of specific types of indirect proofs. Two direct proofs of Lehmus-Steiner's Theorem are proposed.

1. Предварителни сведения. Преди да започнем да решаваме един матема-тически проблем (задача) е добре да анализираме елементите, които участват при формулирането му и връзките между тях (при какви допълнителни условия са въз-можни и коректни). Едва след това пристъпваме към избор на метод за решаване на поставената задача и търсене на множеството о...

The conditions determining that two triangles are congruent play a basic role in planimetry. By comparing not congruent triangles with respect to given sets of corresponding elements it is important to discover if they have any common geometric properties characterizing them. The present paper is devoted to an answer of this question. We give a gen...

The paper presents a method for obtaining problems whose conclusions contain disjunctive propositions. These problems constitute a version of inverse problems with a given logical structure. The logical models in the groups of problems studied have been interpreted comprehensively. Equivalent problems have been given by keeping or not keeping the c...

This article discusses a way of generating groups of equivalent problems. The method is based on logical equivalences.

Abstract. The paper considers a mathematical problem from the entrance exam in the Sofia University “St. Kliment Ohridski”, held on July 11, 2011. It analyzes and comments the published exemplary solution (http://www.fmi.uni- sofia.bg/priem/ksi2011-2tema2- reshenia.pdf) and proposes four “elementary” solutions, based on familiar and exercised knowl...