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.
As far as teaching practice in mathematics is concerned, we usedifferent methods, forms and tools, which enable pupils to acquire both theoreticalknowledge and practical skills more efficiently. Stanisław Drózdz(1939-2007) was a concrete poet, who, in his work, used not only words, butalso visual art. Poetry, art and mathematics are apparently distant domains,yet when I saw Drózdz‘s works, I noticed the opportunity to use them asoriginal tools in teaching mathematics. I will show his chosen works and differentways of using them in mathematical education. Some of them could beused as illustrations of various concepts (for example at early stages of mathseducation). Others could be starting points in discovering and exploringsome regularities. There are also some which could inspire pupils to look intocertain mathematical problems. Whilst creating his concept-shapes, StanisławDrózdz used similarities and differences of various situations.Searching for similarities and differences using analogies and contrast alsomakes it possible to build mathematical concepts in pupils‘ minds. Byputting together concept and shape, Drózdz worked in a way similar topractice in mathematical education - while defining concepts, we give thema name and (very often) a symbol, and we try to visualize them by givingthem a “shape”. Using Stanisław Drózdz‘s works, it is possible to build yetanother bridge between theory and practice, particularly for pupils to whommaths is not a life-long passion.
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