@article {MATHEDUC.06151249,
    author       = {Szeredi, \'{E}va},
    title        = {Forming the concept of congruence. II.},
    year         = {2012},
    journal      = {Teaching Mathematics and Computer Science},
    volume       = {10},
    number       = {1},
    issn         = {1589-7389},
    pages        = {1-12},
    publisher    = {,},
    abstract     = {Summary: This paper is a continuation of [the author, Teach. Math. Comput. Sci. 9, No. 2, 181--192 (2011; ME 2012a.00515)], where I gave theoretical background to the topic, description of the traditional method of representing the isometries of the plane with its effect on the evolution of congruence concept. In this paper, I describe a new method of representing the isometries of the plane. This method is closer to the abstract idea of 3-dimensional motion. The planar isometries are considered as restrictions of 3-dimensional motions and these are represented with free translocations given by flags. About the terminology: I use some important concepts connected to teaching of congruence, which have to be distinguished. My goal is to analyse different teaching methods of the 2-dimensional congruencies. I use the term 3-dimensional motion for the orientation preserving (direct) 3-dimensional isometry (which is also called rigid motion or rigid body move). When referring the concrete manipulative representation of the planar congruencies I will use the term translocation.},
    msc2010      = {G55xx (U65xx D45xx C35xx)},
    identifier   = {2013b.00623},
}