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PL
The subject of this work, teacher’s practice forming mathematical activity and creativity of the gifted pupils, is submerged in the issue of one of the contemporary trends in researching the methodology of teaching maths, which is called: creativity in teaching mathematics – theory, diagnosis and methodology, prospects. In this work I refer to certain synthesis of the knowledge to that point, see A. Pardała (2003; 2004; 2006), and I also articulate one of its aspects – the crucial importance of teacher’s intervention in the activity and creativity of a student who is solving a mathematical problem. I also syntheticaly present findings of research assessing teacher’s impact on stimulating a gifted student, in particular that which was done for doctoral thesis by E. Śmietana (2005a; 2005b). In the summary of my work, I put forward some remarks and final reflections related to mathematical activity and creativity in gifted students’ education
PL
The subject matter of this paper relates to one of the modern research trends in teaching mathematics: the problems of quality of mathematical education of pupils and students in the twenty-first century in different countries and cultural traditions. This analysis throws light on the literature, research results, and observations from the Polish perspective of practice, and outlines the intentions of the range. The work also discusses some theoretical bases for the concept of improving the quality of mathematics and its determinants, as well as new ideas and trends, experiences and difficulties related to the implementations made in this respect in Poland. The author of the paper points out the challenges of work, and current areas of research on improving the quality of education, focusing on math problems and methodologies for monitoring and diagnosing the quality of mathematical education of students, and for designing and implementing the practice of teaching online course in mathematics and mathematical subjects.
PL
The present article presents the genesis of the international conference: andhighGeometry and geometrical education in the current second high school, which took place on November 22-25, 2012 in Togliatti StateUniversity. This conference was dedicated to the 70th jubilee of professorW.A. Gusiew (В.А. Гусев), world-wide famous professor of Mathematicseducation, author and co-author of Geometry textbooks and methodologicalguidebooks for teachers of Maths, published for the need of students’ geometricaleducation and having recommendation of the Russian Ministry ofEducation and Science. In this work the crucial threads of the plenary lectureof professor W.A. Gusiew and the points of the scientific program of theTogliatti Conference are discussed. The plenary lecture, as well as papersand groups’ and round table discussions revealed the results of research onthe problems of Geometry, and the state, quality and current problems ofgeometrical education of pupils and students. Both Russian and foreign participantsof the conference, while judging and summarizing the results of theconference, jointly expressed their concerns about the slow pace of adaptingthe educational systems to the Bologna process, and about the current stateand quality of Maths education. The legitimacy of those concerns is shownby the lower motivation of pupils and students to study Geometry and Maths, reduced number of Maths hours in school, confusing standards of Mathseducation, reduced requirements on the Maths school-leaving examinationand Maths exams in universities.
PL
The authors refer to the atmosphere, the issues and the results of this year international conference in Togliatti '2010 dedicated to 75 years of the academician W. M. Monachow. The authors remind his way to creative development of didactics subjects and educational technology and point out and analyze his selected achievements.  In particular, they express gratitude to himself, his collaborators and supervisors for support and scientific cooperation with Poland in the field of education of mathematics and physics researchers and educators.
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