We give an explicit form of particle-size distributions of convex similar bodies for random planes and random lines, which naturally generalize famous Wicksell's corpuscle problem. The results are achieved by applying the Method of Model Solutions for solving well-known Santaló's integral equations. We also give a partial result related to the question of existence and uniqueness of these solutions. We finally illustrate our approach on several examples.
Microteaching as a method of training pre-service teachers is analysed by a number of researchers at home and abroad, especially teacher training institutions. It is a technique that allows student teachers to practice and refine their teaching skills before applying them in a real classroom. The aim of the paper is to define microteaching, describe and evaluate the authors' experience with its integration into the teaching programmes at P. J. Šafárik University (UPJŠ) in Košice, and evaluate the survey concerning microteaching on the sample of 2nd year master studies students of geography teaching in the school year 2018/2019, who attended Seminar from Geography Teaching at the Institute of Geography. Based on their responses, microteaching is considered as a worthwhile method suitable for training qualified geography tea chers.
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