id: 06151249
dt: j
an: 2013b.00623
au: Szeredi, Éva
ti: Forming the concept of congruence. II.
so: Teach. Math. Comput. Sci. 10, No. 1, 1-12 (2012).
py: 2012
pu: ,
la: EN
cc: G55 U65 D45 C35
ut: teacher education; concept formation; acquisition of mathematical concepts;
    transformation geometry; manipulative materials; teaching methods;
    classroom techniques
ci: 
li: 
ab: 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.
rv: