%0 Generic %1 yavoruk2019arxiv %A Yavoruk, Oleg %D 2019 %K myown physics teaching %T How does the Monte Carlo method work? %U https://arxiv.org/abs/1909.13212 %X The paper describes the practical work for students visually clarifying the mechanism of the Monte Carlo method applying to approximating the value of Pi. Considering a traditional quadrant (circular sector) inscribed in a square, here we demonstrate the original algorithm for generating random points on the paper: you should arbitrarily tear up a paper blank to small pieces (the first experiment). By the similar way the second experiment (with a preliminary staining procedure by bright colors) can be used to prove the quadratic dependence of the area of a circle on its radius. Manipulations with tearing up a paper as a random sampling algorithm can be applied for solving other teaching problems in physics.

@preprint{yavoruk2019arxiv, abstract = {The paper describes the practical work for students visually clarifying the mechanism of the Monte Carlo method applying to approximating the value of Pi. Considering a traditional quadrant (circular sector) inscribed in a square, here we demonstrate the original algorithm for generating random points on the paper: you should arbitrarily tear up a paper blank to small pieces (the first experiment). By the similar way the second experiment (with a preliminary staining procedure by bright colors) can be used to prove the quadratic dependence of the area of a circle on its radius. Manipulations with tearing up a paper as a random sampling algorithm can be applied for solving other teaching problems in physics.}, added-at = {2020-01-29T06:37:32.000+0100}, archiveprefix = {arXiv}, author = {Yavoruk, Oleg}, biburl = {https://www.bibsonomy.org/bibtex/2c576e0a666f4545d9fdca103e86950a4/yavoruk}, description = {17 pages, 6 figures, 2 tables, 2 appendixes}, eprint = {1909.13212}, interhash = {a4aef30b8bb0c01ea0ffe78732cdef47}, intrahash = {c576e0a666f4545d9fdca103e86950a4}, keywords = {myown physics teaching}, primaryclass = {physics.ed-ph}, timestamp = {2020-01-29T06:40:35.000+0100}, title = {How does the Monte Carlo method work?}, url = {https://arxiv.org/abs/1909.13212}, year = 2019 }