{"id":110,"date":"2019-10-20T19:58:14","date_gmt":"2019-10-20T17:58:14","guid":{"rendered":"http:\/\/7mmc2020.smm.org.mk\/?page_id=110"},"modified":"2023-05-22T13:19:50","modified_gmt":"2023-05-22T11:19:50","slug":"training-seminar","status":"publish","type":"page","link":"https:\/\/congress.smm.org.mk\/?page_id=110&lang=en","title":{"rendered":"Training Seminar"},"content":{"rendered":"\n
\n\n\n\n

A training seminar for teachers in primary and secondary education will be held during the VII Congress, under the following title:<\/p>\n\n\n\n

STRATEGIES FOR ENCOURAGING CREATIVITY IN TEACHING MATHEMATICS<\/strong><\/p>\n\n\n\n

Main instructor:<\/strong> Valentina Gogovska, Associate Professor at the Faculty of Natural Sciences and Mathematics, Skopje<\/p>\n\n\n\n

Duration:<\/strong> 2 days.<\/p>\n\n\n\n

Application deadline:<\/strong> June 7, 2023.<\/p>\n\n\n\n

Summary. <\/strong>Mathematics educators have a great challenge to foster the development of higher order thinking skills in students, such as formulating and solving problems, reasoning and communicating ideas and solutions.\u00a0The purpose of this training is to involve teachers in encouraging creativity in students (for both primary and secondary school students), through regular mathematics instruction by using suitable strategies for developing creative thinking skills, in particular, mathematical problems and other instructional materials. We expect a fruitful\u00a0discussion about creativity in the teaching process. Some current, open issues related to it will be encouraged.\u00a0<\/p>\n\n\n\n

A workshop entitled by

ON SOME POSSIBLE FORMS OF CREATIVITY DEVELOPMENT IN TEACHING MATHEMATICS
<\/strong>
will be held as part of the training.

Main instructor:<\/strong> dr. Vojislav Andri\u0107, Mathematical club \u201cDiofant\u201d, Valjevo
Duration:<\/strong> 2 hours.
Application deadline: <\/strong>June 7, 2023.

Summary. Creativity researchers prove that creativity is a gift and that cannot be taught. But they also believe that creative behavior can be developed and encouraged. In teaching mathematics, there are several ways to encourage the student to be creative.<\/p>\n\n\n\n

The aim of this methodical workshop is to demonstrate some of the possible forms of developing students’ creativity in mathematics lessons using concrete examples (problem situations). Specifically, the following forms will be discussed:<\/p>\n\n\n\n

1. Solving problems by analogy
2. Solving problems in many different ways
3. Non-standard solving of known problems
4. Originality in solving unknown problems
5. Solving problems using logical – combinatorial abilities
6. Formulation of original problems
7. Inverse problem solving
8. Refutation of incorrect hypotheses
9. Developing sensitivity to generalizations
10. Observing invariance
11. Developing the ability to quickly determine the existence of a solution to a problem
12. Construction of a mathematical object that satisfies the given complex conditions
13. Direct, but non-obvious application of mathematical theorems, rules, assertions
14. Indirect and non-standard application of mathematical theorems, rules, assertions
15. Developing the ability to solve an unknown problem by breaking it down into several known problems
16. Independent discovery of unknown, but known to mathematical science, mathematical statements, rules, theorems
17. Application of mathematical knowledge in non-standard life situations
18. Solving geometric problems with algebraic methods
19. Solving algebraic problems geometrically
20. Other, interesting forms of developing creativity.<\/p>\n\n\n\n

Workshop participants will have the opportunity to present their own experiences from teaching practice, which represent a successful example of developing creativity in mathematics teaching.<\/p>\n\n\n\n

After completing the program, participants will receive appropriate Certificate of completed training.<\/p>\n\n\n\n

\u041e\u0411\u0423\u041a\u0410<\/strong><\/p>\n\n\n\n

\u0421\u0442\u0440\u0430\u0442\u0435\u0433\u0438\u0438 \u0437\u0430 \u043f\u043e\u0442\u0442\u0438\u043a\u043d\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430 \u0432\u043e \u043d\u0430\u0441\u0442\u0430\u0432\u0430\u0442\u0430 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430<\/strong><\/p>\n\n\n\n

\u0412\u043e \u0442\u0435\u043a\u043e\u0442 \u043d\u0430 VII \u041a\u043e\u043d\u0433\u0440\u0435\u0441 \u045c\u0435 \u0441\u0435 \u043e\u0434\u0440\u0436\u0438 \u0441\u0435\u043c\u0438\u043d\u0430\u0440 \u0437\u0430 \u043e\u0431\u0443\u043a\u0430 \u043d\u0430 \u043d\u0430\u0441\u0442\u0430\u0432\u043d\u0438\u0446\u0438 \u0432\u043e \u043e\u0441\u043d\u043e\u0432\u043d\u043e \u0438 \u0441\u0440\u0435\u0434\u043d\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435, \u043f\u043e\u0434 \u0441\u043b\u0435\u0434\u043d\u0438\u043e\u0442 \u043d\u0430\u0441\u043b\u043e\u0432:<\/p>\n\n\n\n

\u0413\u043b\u0430\u0432\u0435\u043d \u0438\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u043e\u0440: <\/strong>\u0412\u0430\u043b\u0435\u043d\u0442\u0438\u043d\u0430 \u0413\u043e\u0433\u043e\u0432\u0441\u043a\u0430, \u0432\u043e\u043d\u0434\u0440\u0435\u0434\u0435\u043d \u043f\u0440\u043e\u0444\u0435\u0441\u043e\u0440 \u043d\u0430 \u041f\u0440\u0438\u0440\u043e\u0434\u043d\u043e-\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438\u043e\u0442 \u0444\u0430\u043a\u0443\u043b\u0442\u0435\u0442, \u0421\u043a\u043e\u043f\u0458\u0435<\/p>\n\n\n\n

\u0412\u0440\u0435\u043c\u0435\u0442\u0440\u0430\u0435\u045a\u0435:<\/strong> 2 \u0434\u0435\u043d\u0430.<\/p>\n\n\n\n

\u0420\u043e\u043a \u043d\u0430 \u043f\u0440\u0438\u0458\u0430\u0432\u0443\u0432\u0430\u045a\u0435: <\/strong>7 \u0458\u0443\u043d\u0438 2023 \u0433\u043e\u0434\u0438\u043d\u0430.<\/p>\n\n\n\n

\u0420\u0435\u0437\u0438\u043c\u0435.<\/strong> \u041d\u0430\u0441\u0442\u0430\u0432\u043d\u0438\u0446\u0438\u0442\u0435 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438\u043c\u0430\u0430\u0442 \u0433\u043e\u043b\u0435\u043c \u043f\u0440\u0435\u0434\u0438\u0437\u0432\u0438\u043a: \u043e\u0434 \u043d\u0438\u0432 \u0441\u0435 \u0431\u0430\u0440\u0430 \u0434\u0430 \u0433\u043e \u043f\u043e\u0442\u0442\u0438\u043a\u043d\u0430\u0442 \u0440\u0430\u0437\u0432\u043e\u0458\u043e\u0442 \u043d\u0430 \u0432\u0435\u0448\u0442\u0438\u043d\u0438 \u0437\u0430 \u0440\u0430\u0437\u043c\u0438\u0441\u043b\u0443\u0432\u0430\u045a\u0435 \u043e\u0434 \u043f\u043e\u0432\u0438\u0441\u043e\u043a \u0440\u0435\u0434 \u043a\u0430\u0458 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435, \u043a\u0430\u043a\u043e \u0448\u0442\u043e \u0441\u0435: \u0444\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u0430\u045a\u0435 \u0438 \u0440\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u0437\u0430\u0434\u0430\u0447\u0438, \u0440\u0430\u0441\u0443\u0434\u0443\u0432\u0430\u045a\u0435 \u0438 \u0441\u043e\u043e\u043f\u0448\u0442\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 \u0438\u0434\u0435\u0438\u0442\u0435 \u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0458\u0430\u0442\u0430. \u0426\u0435\u043b\u0442\u0430 \u043d\u0430 \u043e\u0432\u0430\u0430 \u043e\u0431\u0443\u043a\u0430 \u0435 \u0434\u0430 \u0441\u0435 \u0432\u043a\u043b\u0443\u0447\u0430\u0442 \u043d\u0430\u0441\u0442\u0430\u0432\u043d\u0438\u0446\u0438\u0442\u0435 \u0432\u043e \u043f\u043e\u0442\u0442\u0438\u043a\u043d\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430 \u043a\u0430\u0458 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435 (\u0438 \u043e\u0434 \u043e\u0441\u043d\u043e\u0432\u043d\u043e \u0438 \u043e\u0434 \u0441\u0440\u0435\u0434\u043d\u043e \u0443\u0447\u0438\u043b\u0438\u0448\u0442\u0435), \u0432\u043e \u0440\u0435\u0434\u043e\u0432\u043d\u0430\u0442\u0430 \u043d\u0430\u0441\u0442\u0430\u0432\u0430 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, \u0441\u043e \u0443\u043f\u043e\u0442\u0440\u0435\u0431\u0430 \u043d\u0430 \u0441\u043e\u043e\u0434\u0432\u0435\u0442\u043d\u0438 \u0441\u0442\u0440\u0430\u0442\u0435\u0433\u0438\u0438 \u0437\u0430 \u0440\u0430\u0437\u0432\u043e\u0458 \u043d\u0430 \u0432\u0435\u0448\u0442\u0438\u043d\u0438 \u0437\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e \u0440\u0430\u0437\u043c\u0438\u0441\u043b\u0443\u0432\u0430\u045a\u0435, \u043f\u0440\u0435\u043a\u0443 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0438 \u0434\u0440\u0443\u0433\u0438 \u043d\u0430\u0441\u0442\u0430\u0432\u043d\u0438 \u043c\u0430\u0442\u0435\u0440\u0438\u0458\u0430\u043b\u0438. \u041e\u0447\u0435\u043a\u0443\u0432\u0430\u043c\u0435 \u043e\u0442\u0432\u043e\u0440\u0435\u043d\u0430 \u0434\u0438\u0441\u043a\u0443\u0441\u0438\u0458\u0430 \u0437\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430 \u0432\u043e \u043d\u0430\u0441\u0442\u0430\u0432\u043d\u0438\u043e\u0442 \u043f\u0440\u043e\u0446\u0435\u0441 \u0438 \u043d\u0435\u043a\u043e\u0438 \u0442\u0435\u043a\u043e\u0432\u043d\u0438, \u043e\u0442\u0432\u043e\u0440\u0435\u043d\u0438 \u043f\u0440\u0430\u0448\u0430\u045a\u0430 \u043f\u043e\u0432\u0440\u0437\u0430\u043d\u0438 \u0441\u043e \u0442\u043e\u0430.<\/p>\n\n\n\n

\u0412\u043e \u0440\u0430\u043c\u043a\u0438 \u043d\u0430 \u043e\u0432\u0430\u0430 \u043e\u0431\u0443\u043a\u0430 \u045c\u0435 \u0431\u0438\u0434\u0435 \u043e\u0434\u0440\u0436\u0430\u043d\u0430 \u0440\u0430\u0431\u043e\u0442\u0438\u043b\u043d\u0438\u0446\u0430 \u043d\u0430\u0441\u043b\u043e\u0432\u0435\u043d\u0430 \u0441\u043e <\/p>\n\n\n\n

\u0417\u0410 \u041d\u0415\u041a\u041e\u0418 \u041c\u041e\u0416\u041d\u0418 \u041e\u0411\u041b\u0418\u0426\u0418 \u041d\u0410 \u0420\u0410\u0417\u0412\u0418\u0412\u0410\u040a\u0415 \u041d\u0410 \u041a\u0420\u0415\u0410\u0422\u0418\u0412\u041d\u041e\u0421\u0422\u0410 \u0412\u041e \u041d\u0410\u0421\u0422\u0410\u0412\u0410\u0422\u0410 \u041f\u041e \u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u041a\u0410<\/strong><\/p>\n\n\n\n

\u0413\u043b\u0430\u0432\u0435\u043d \u0438\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u043e\u0440:\u00a0<\/strong>\u0434-\u0440 \u0412\u043e\u0458\u0438\u0441\u043b\u0430\u0432 \u0410\u043d\u0434\u0440\u0438\u045c, \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438 \u043a\u043b\u0443\u0431 \u201c\u0414\u0438\u043e\u0444\u0430\u043d\u0442” – \u0412\u0430\u0459\u0435\u0432\u043e
\u0412\u0440\u0435\u043c\u0435\u0442\u0440\u0430\u0435\u045a\u0435:<\/strong>\u00a02 \u0447\u0430\u0441\u0430.<\/p>\n\n\n\n

\u0420\u043e\u043a \u043d\u0430 \u043f\u0440\u0438\u0458\u0430\u0432\u0443\u0432\u0430\u045a\u0435:<\/strong> 7 \u0458\u0443\u043d\u0438 2023 \u0433\u043e\u0434\u0438\u043d\u0430.
\u0420\u0435\u0437\u0438\u043c\u0435. <\/strong>\u0418\u0441\u0442\u0440\u0430\u0436\u0443\u0432\u0430\u0447\u0438\u0442\u0435 \u043d\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430 \u0434\u043e\u043a\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u0434\u0435\u043a\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430 \u0435 \u0442\u0430\u043b\u0435\u043d\u0442 \u0438 \u0434\u0435\u043a\u0430 \u043d\u0435 \u043c\u043e\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043d\u0430\u0443\u0447\u0438. \u041d\u043e, \u0442\u0438\u0435 \u0438\u0441\u0442\u043e \u0442\u0430\u043a\u0430 \u0432\u0435\u0440\u0443\u0432\u0430\u0430\u0442 \u0434\u0435\u043a\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0442\u043e \u043e\u0434\u043d\u0435\u0441\u0443\u0432\u0430\u045a\u0435 \u043c\u043e\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0440\u0430\u0437\u0432\u0438\u0435 \u0438 \u043f\u043e\u0442\u0442\u0438\u043a\u043d\u0435. \u0412\u043e \u043d\u0430\u0441\u0442\u0430\u0432\u0430\u0442\u0430 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u043f\u043e\u0441\u0442\u043e\u0458\u0430\u0442 \u043d\u0435\u043a\u043e\u043b\u043a\u0443 \u043d\u0430\u0447\u0438\u043d\u0438 \u0434\u0430 \u0441\u0435 \u043f\u043e\u0442\u0442\u0438\u043a\u043d\u0435 \u0443\u0447\u0435\u043d\u0438\u043a\u043e\u0442 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u0435\u043d.<\/p>\n\n\n\n

\u0426\u0435\u043b\u0442\u0430 \u043d\u0430 \u043e\u0432\u0430\u0430 \u043c\u0435\u0442\u043e\u0434\u0438\u0447\u043a\u0430 \u0440\u0430\u0431\u043e\u0442\u0438\u043b\u043d\u0438\u0446\u0430 \u0435 \u0434\u0430 \u0441\u0435 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0430\u0430\u0442 \u043d\u0435\u043a\u043e\u0438 \u043e\u0434 \u043c\u043e\u0436\u043d\u0438\u0442\u0435 \u0444\u043e\u0440\u043c\u0438 \u043d\u0430 \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u045a\u0435 \u043d\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430 \u043a\u0430\u0458 \u0443\u0447\u0435\u043d\u0438\u0446\u0438\u0442\u0435 \u043d\u0430 \u0447\u0430\u0441\u043e\u0432\u0438\u0442\u0435 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u043a\u043e\u0440\u0438\u0441\u0442\u0435\u0458\u045c\u0438 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0438 \u043f\u0440\u0438\u043c\u0435\u0440\u0438 (\u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0438 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0438). \u041f\u043e\u0442\u043e\u0447\u043d\u043e, \u045c\u0435 \u0441\u0435 \u0440\u0430\u0437\u0433\u043e\u0432\u0430\u0440\u0430 \u0437\u0430 \u0441\u043b\u0435\u0434\u043d\u0438\u0442\u0435 \u0444\u043e\u0440\u043c\u0438:<\/p>\n\n\n\n

1. \u0420\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u043f\u043e \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0458\u0430
2. \u0420\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u043d\u0430 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u0438 \u043d\u0430\u0447\u0438\u043d\u0438
3. \u041d\u0435\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0434\u043d\u043e \u0440\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043d\u0430 \u043f\u043e\u0437\u043d\u0430\u0442\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438
4. \u041e\u0440\u0438\u0433\u0438\u043d\u0430\u043b\u043d\u043e \u0440\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043d\u0430 \u043d\u0435\u043f\u043e\u0437\u043d\u0430\u0442\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438
5. \u0420\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438 \u0441\u043e \u043a\u043e\u0440\u0438\u0441\u0442\u0435\u045a\u0435 \u043b\u043e\u0433\u0438\u0447\u043a\u043e – \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u043d\u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e\u0441\u0442\u0438
6. \u0424\u043e\u0440\u043c\u0443\u043b\u0438\u0440\u0430\u045a\u0435 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b\u043d\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438
7. \u0418\u043d\u0432\u0435\u0440\u0437\u043d\u043e \u0440\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438
8. \u041f\u043e\u0431\u0438\u0432\u0430\u045a\u0435 \u043d\u0430 \u043d\u0435\u0442\u043e\u0447\u043d\u0438 \u0445\u0438\u043f\u043e\u0442\u0435\u0437\u0438
9. \u0420\u0430\u0437\u0432\u0438\u0432\u0430\u045a\u0435 \u0447\u0443\u0432\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u043d\u043e\u0441\u0442 \u043d\u0430 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438
10. \u041d\u0430\u0431\u0459\u0443\u0434\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 \u043d\u0435\u043f\u0440\u043e\u043c\u0435\u043d\u043b\u0438\u0432\u043e\u0441\u0442
11. \u0420\u0430\u0437\u0432\u0438\u0432\u0430\u045a\u0435 \u043d\u0430 \u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e\u0441\u0442 \u0437\u0430 \u0431\u0440\u0437\u043e \u0443\u0442\u0432\u0440\u0434\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 \u043f\u043e\u0441\u0442\u043e\u0435\u045a\u0435\u0442\u043e \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0437\u0430 \u043f\u0440\u043e\u0431\u043b\u0435\u043c
12. \u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0458\u0430 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438 \u043e\u0431\u0458\u0435\u043a\u0442 \u043a\u043e\u0458 \u0433\u0438 \u0437\u0430\u0434\u043e\u0432\u043e\u043b\u0443\u0432\u0430 \u0434\u0430\u0434\u0435\u043d\u0438\u0442\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438 \u0443\u0441\u043b\u043e\u0432\u0438
13. \u0414\u0438\u0440\u0435\u043a\u0442\u043d\u0430, \u043d\u043e \u043d\u0435\u043e\u0447\u0438\u0433\u043b\u0435\u0434\u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0430 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u0438, \u043f\u0440\u0430\u0432\u0438\u043b\u0430, \u0442\u0432\u0440\u0434\u0435\u045a\u0430
14. \u0418\u043d\u0434\u0438\u0440\u0435\u043a\u0442\u043d\u0430 \u0438 \u043d\u0435\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0434\u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0430 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438 \u0442\u0435\u043e\u0440\u0435\u043c\u0438, \u043f\u0440\u0430\u0432\u0438\u043b\u0430, \u0442\u0432\u0440\u0434\u0435\u045a\u0430
15. \u0420\u0430\u0437\u0432\u0438\u0432\u0430\u045a\u0435 \u043d\u0430 \u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e\u0441\u0442 \u0437\u0430 \u0440\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u043d\u0430 \u043d\u0435\u043f\u043e\u0437\u043d\u0430\u0442 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0441\u043e \u043d\u0435\u0433\u043e\u0432\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 \u043d\u0435\u043a\u043e\u043b\u043a\u0443 \u043f\u043e\u0437\u043d\u0430\u0442\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0438
16. \u041d\u0435\u0437\u0430\u0432\u0438\u0441\u043d\u043e \u043e\u0442\u043a\u0440\u0438\u0432\u0430\u045a\u0435 \u043d\u0430 \u043d\u0435\u043f\u043e\u0437\u043d\u0430\u0442\u0438, \u043d\u043e \u043f\u043e\u0437\u043d\u0430\u0442\u0438 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0430\u0442\u0430 \u043d\u0430\u0443\u043a\u0430, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438 \u0438\u0441\u043a\u0430\u0437\u0438, \u043f\u0440\u0430\u0432\u0438\u043b\u0430, \u0442\u0435\u043e\u0440\u0435\u043c\u0438
17. \u041f\u0440\u0438\u043c\u0435\u043d\u0430 \u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0438\u0442\u0435 \u0437\u043d\u0430\u0435\u045a\u0430 \u0432\u043e \u043d\u0435\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0434\u043d\u0438 \u0436\u0438\u0432\u043e\u0442\u043d\u0438 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u0438
18. \u0420\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0441\u043a\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u043e \u0430\u043b\u0433\u0435\u0431\u0430\u0440\u0441\u043a\u0438 \u043c\u0435\u0442\u043e\u0434\u0438
19. \u0420\u0435\u0448\u0430\u0432\u0430\u045a\u0435 \u0430\u043b\u0433\u0435\u0431\u0430\u0440\u0441\u043a\u0438 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u043e \u043f\u043e\u043c\u043e\u0448 \u043d\u0430 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0458\u0430
20. \u0414\u0440\u0443\u0433\u0438, \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u0438 \u0444\u043e\u0440\u043c\u0438 \u043d\u0430 \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u045a\u0435 \u043d\u0430 \u043a\u0440\u0435\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0430.<\/p>\n\n\n\n

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\u041f\u043e \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u045a\u0435\u0442\u043e \u043d\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0430\u0442\u0430, \u0443\u0447\u0435\u0441\u043d\u0438\u0446\u0438\u0442\u0435 \u045c\u0435 \u0434\u043e\u0431\u0438\u0458\u0430\u0442 \u0441\u043e\u043e\u0434\u0432\u0435\u0442\u0435\u043d \u0421\u0435\u0440\u0442\u0438\u0444\u0438\u043a\u0430\u0442 \u0437\u0430 \u0437\u0430\u0432\u0440\u0448\u0435\u043d\u0430 \u043e\u0431\u0443\u043a\u0430.<\/p>\n","protected":false},"excerpt":{"rendered":"

A training seminar for teachers in primary and secondary education will be held during the VII Congress, under the following title: STRATEGIES FOR ENCOURAGING CREATIVITY IN TEACHING MATHEMATICS Main instructor: Valentina Gogovska, Associate Professor at the Faculty of Natural Sciences and Mathematics, Skopje Duration: 2 days. Application deadline: June 7, 2023. Summary. Mathematics educators have … Continue reading “Training Seminar”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":61,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/pages\/110"}],"collection":[{"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=110"}],"version-history":[{"count":23,"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/pages\/110\/revisions"}],"predecessor-version":[{"id":1035,"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/pages\/110\/revisions\/1035"}],"up":[{"embeddable":true,"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=\/wp\/v2\/pages\/61"}],"wp:attachment":[{"href":"https:\/\/congress.smm.org.mk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}