Занимателните задачи на Поасон и методът на Перелман за тяхното решаване и изследване
Poisson′s Amusing Problems and Perelman′s Method for their Solution and Study
Author(s): Zdravko Lalchev, Margarita Varbanova, Miroslav StoimirovSubject(s): Social Sciences, Education, Library and Information Science, Education and training, Other, School education, Vocational Education, Adult Education, Higher Education , Inclusive Education / Inclusion
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: amusing mathematics; Poisson’s problems; solution; Perelman’s method; empiric study; rhomboid network; overflow ray; falling and reflected ray; hypothesis
Summary/Abstract: The subject of the paper is the Perelman’s geometric method for solving and empiric study of a popular class of amusing problems called Poisson’s problems. The main tool of investigation is a rhomboid net of a skew co-ordinate system. The problem situation is modeled geometrically and the solution of the problem is sought by the construction of “Pouring ray” trajectory in the net. The method is described in details by simple means of analytic geometry and is presented through 8 problems for pouring. Some comments and suggestions are made in order to optimize the solutions. Empirically, it is reached a probable hypothesis on the base of the solutions of specific problems in cases of non-solvability of the general problem accounting for its parameters. The work is constructed on one of the topics of the course on Amusing Mathematics targeted on students – futur teachers. It could be applied successfully in teaching Mathematics in “school” conditions during extra-curricular classes.
Journal: Математика и информатика
- Issue Year: 60/2017
- Issue No: 1
- Page Range: 17-49
- Page Count: 33
- Language: Bulgarian
- Content File-PDF