An Elementary Proof of a Theorem Concerning the Division of a Region into Two

Bodroža-Pantić, Olga; Doroslovački, Rade; Doroslovački, Ksenija

doi:10.1216/rmjm/1194275926

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The Topic Of Plane Decomposition1

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2008

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“…This means by itself the precise formulation of the Jordan curve theorem and Theta-curve theorem and strict deduction of their proofs. The proofs of the above mentioned theorems, in polygonal [1] and in the most general cases [2], [3], [6] are very demanding and can be deduced at the undergraduate or graduate level (as is the practice at the Department of Mathematics, Faculty of Sciences in Novi Sad). Various more or less difficult tasks related to this topic can be used for training mathematical abilities of gifted children during extra curricula teaching.…”

Section: The Topic Of Plane Decompositionmentioning

confidence: 99%

On MTE-model of mathematics teaching: studying the problems related to a plane division using the MTE-model

Bodroža-Pantić

Matić-Kekić

Jakovljev³

et al. 2008

International Journal of Mathematical Education in Science and

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In this paper the didactically-methodological procedure named the MTE-model of mathematics teaching (Motivation test-Teaching-Examination test) is suggested and recommended when the teacher has subsequent lessons. This model is presented in detail through the processing of a nonstandard theme -the theme of decomposition of planes. Its efficiency has been tested in six groups of a vocational school in Novi Sad (Serbia) in a three year research project. The results of the testing have been processed and the efficiency of the offered model of teaching has been controlled with the standard statistical procedure of control groups.

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Section: The Topic Of Plane Decompositionmentioning

confidence: 99%