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Математика. Образование: материалы 19 Международной конференции. Двуязычное (билингвальное) обучение в системе общего и высшего образования: материалы 2-го Международного симпозиума 29 мая-4 июня 2011г., Чебоксары
The three already traditional volumes of the WDS Proceedings you are holding in the hands are composed of the contributions which have been presented during the 21st Annual Conference of Doctoral Students that was held in Prague, at Charles University, Faculty of Mathematics and Physics from May 29 to June 1, 2012. In this year, 100 student manuscripts were submitted to publishing and 88 were accepted after the review process.
Meta-analytic research in psychology of academic performance proved that Big Five Conscientiousness and Openness to Experience predict scholastic achievements of university students (O’Connor, Paunonen, 2007; Poropat, 2009). But we claim that psychological predictiors of academic success depend on educational environment and can be culture-related. We examined 176 2nd and 3rd year economy and computer science university students in Russia with the Big Five – Ipsative version test (Shmelyov, 2010) and discovered that GPA and USE (United State Examination in Russia) scores are significantly correlated with Agreeableness (r = 0.15; p < 0.01 for GPA and r = 0.22 p < 0.01 for USE math) and Neuroticism (r = 0.2, p < 0.01 for GPA and r = -0,17; p < 0,01 for USE math). We suppose that the difference between our result and results provided by the meta-analyses mentioned above can be explained by the differences in educational environment in Russia and other countries. We assume that big number of classes and relatively small amount of individual and analytical assignments create the environment where Agreeableness and Neuroticism are important for the academic success.
This article presents the results of a pilot study assessing the level of formation of a stochastic competence among teachers of mathematics. Besides, the indicators that reflect the competence of formation of stochastic students are identified and ranked in order of importance. Different instruments (questionnaires, tests, assignments) have been used to solve the problem under study.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.