Плач математикаАмериканский автор о математике в американской школе. Все написанное полностью относится и к нашей школе, с одной разницей - поскольку в России уровень "преподавания математики" выше, у нас все гораздо хуже
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О геометрии и формализме в школе. О.Я.Виро (выступление в дискуссии об университетском образовании на третьем европейском конгрессе математиков (Барселона, 2000)): <...> I think that during the twentieth century we, as a mathemat- ical community, lost a couple of very important battles. This is a crucial point. Thirty years ago, an educated person had a feeling that he learned how to think and argue in mathematics class, when studying Geometry. Indeed, a study of Geometry requires a flu- ent translation from the language of pictures to verbal languages. Axioms, theorems and proofs have appeared in Geometry, there are no crowds of them in the high-school algebra. Of course, these are universal tools, which are needed in each part of Mathematics, but in Geometry the need is felt stronger motivated. Weakening the positions of geometry in the mathematical education implies immediate weakening the logical skills of students due to lack of exercises. Where is Geometry now in most of the countries? There is no geometry. Mathematician, mathematical teacher, was a person who explained what is a proof, what is logic, and now mathematical teacher explains how to calculate, how to work out examples. <...>
<...> I think that during the twentieth century we, as a mathemat-
ical community, lost a couple of very important battles. This is a crucial point. Thirty
years ago, an educated person had a feeling that he learned how to think and argue in
mathematics class, when studying Geometry. Indeed, a study of Geometry requires a flu-
ent translation from the language of pictures to verbal languages. Axioms, theorems and
proofs have appeared in Geometry, there are no crowds of them in the high-school algebra.
Of course, these are universal tools, which are needed in each part of Mathematics, but
in Geometry the need is felt stronger motivated. Weakening the positions of geometry
in the mathematical education implies immediate weakening the logical skills of students
due to lack of exercises. Where is Geometry now in most of the countries? There is no
geometry. Mathematician, mathematical teacher, was a person who explained what is a
proof, what is logic, and now mathematical teacher explains how to calculate, how to work
out examples. <...>
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