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CNAA / Theses / 2006 / July /

Elemente de teorie a mulţimilor în cursul preuniversitar de matematică din Germania

Author: Robert Müller-Fonfara
Degree:doctor of pedagogics
Speciality: 13.00.02 - Theory and Methodology of Instruction (on disciplines)
Scientific adviser: Andrei Hariton
doctor, professor, Tiraspol State University
Scientific council:


The thesis was presented on the 7 July, 2006
Approved by NCAA on the 28 September, 2006


Adobe PDF document0.35 Mb / in romanian


CZU 510.22(043.3)

Adobe PDF document 3.85 Mb / in romanian
141 pages


the modernization of mathematicians, the program, intellectual competence, experiment, curriculum, the comparative analysis, set, elements of the theory of sets, accessory, subset of the given set, association of sets, crossing of sets, difference of two sets, the binary attitude between two sets, addition between two sets, function, the law of a composition, injective function, biunique correspondence, elements of mathematical logic, logic thinking, denying of the statement, conjunction of two statements, a disjunction of two statements, implication of two statements, equivalence two statements, the single predicate, a necessary condition, mathematical operation


The following dissertation is dedicated to the modernization of preuniversitarian mathematical education on the basis of the introduction of the elements of Theory of Sets and mathematical logic. The purpose of this study consists of the following: on the basis of analysing the process of introducing the elements of Theory of Sets and mathematical logic in the countries of Europe, with an advanced technology of instruction, such as France, England, Russia, Romania and other countries and of own work experience as the teacher of mathematics, also author of training literature on mathematics, to develop curriculum methodology of the introduction of the elements of Theory of Sets and mathematical logic in the schools of Germany. The results of the study are: