IC16: Designing Spatial Visualisation Tasks

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IC16: Designing Spatial Visualisation Tasks
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The purpose of this talk is to introduce some tasks to develop spatial visualization ability through mathematical experience.
Mathematics Multiplication sign Cube Heat transfer Imaginary number Spacetime
Free group Direction (geometry) Spacetime Spacetime
Symmetry (physics) Cube Reflection (mathematics) Projective plane Similarity (geometry)
Platonic solid Projective plane
Point (geometry) Stochastic process Platonic solid Computer programming Group action Weight Orientation (vector space) Special unitary group Water vapor Icosahedron Limit (category theory) Graph coloring Food energy Numerical analysis Sign (mathematics) Mixture model Different (Kate Ryan album) Cylinder (geometry) Cube Right angle Maximum likelihood Körper <Algebra> Spacetime
Platonic solid Presentation of a group Group action Multiplication sign Connected space
Group action Social class
Mathematics Imaginary number
the all of you here and
there and just I'm sorry the 1st side to the side is missing some the title the use of the space vizualization problems for children and from a dance so I'm that within from to be on time running the house of for the hijra and together with the histories of half the from the University of Ljubljana so we have a small rural It's not 9 I could the 9 by 9 but it's of 5 cubes that
would so we have a lot of pretty also in every direction think too late so don't the 1st thing I would
like to mention is of international space is rization only which is a work of is that the Haffner the and he eats free competition so everybody could occur and try to solve some problems and another competitions for the nice full of competitions for children because we think that it's very important starting at the youngest so our competition about spaces of isation is cementing took and I will introduce some problems for children starting grid very
simple because we started the age of 6 of this 1 was you know and use the problems are not so interesting perhaps and here we have some symmetry and reflections and perhaps the chinese interesting Klondike have a cube or something similar interests lies the killed widows and to try to find the posting that slices some projections and of course for
children for the youngest starting cubes and from shapes stupid he which I told you to be there in a very interesting problem so of we find some shapes interesting of romance of what he just children very enjoy tool of to do and this problems and of course
also from to what he the and
and problems with the paper so we have a projection of the being joke and other pictures on Platonic solids and of course
now in a little more interesting problems and coloring the corners of the man's coloring the edges of demands
coloring the faces of the Platonic solids which are not actually in the name so you
have to find the right colors some the problems here the the and from coloring the limits tolerance so have a net which he's actually allowed variants and have defined the path from from from 1 from 1 point to the other point but you cannot go through the teak of energies so at the right there is a solution the and a little more difficult problem which is not a lot of this that is is not so difficult and the novel that variants the the and here we have a problem as within the 2 he'd around that or rolling on the net so it's a mixture of rolling dice and 11th on the it's you and here is the same for the future and Cuba on until course and on the cylinder the yeah the on and different kinds of different shapes of fullerenes for the youngest and librarians and water vapor groups and now perhaps to the rolling dice patterns so uh at the age of 7 but you don't start to roll the dice and find the traces of the numbers that so these are the and I said that the most important problems but so it without of and not necessary to have numbers you can have also of facies at the end a random path so you have to find the coloring patterns so in this program is prepare to is mathematical and have the sun and to find the shortest way to the last number which is 5 and to find out to the last of the of the of the color of the last field and on analyzing the better run when uh let's say 1 facies red and all the others are black and if told them model rat it and the set of several very similar problems it when you have defined the rarity of fields when only 1 of the places a at of also this depends on the orientation of a cube of course who and you have to find a way to explain the better and on the right so here is selected the same path but it could be also in a different kind of and random process where are the rent filter and seems in September we have of the depletion of a Slavic there is some mistakes sorry you so we try to find the patterns if the space the the this is the face Eastern thiopentone so here is the way dont is this
so you can find in this way also latrines or any other kinds of use of old old ballpark images and at the end time very short and I have a short presentation it's also a pattern of teacher he drawn and of course also other of the Platonic solids so this is 1 of the possibility of a path and you can observe the O'Connor's which are quite interesting uh the same as for the teacher he on and other Platonic solids but in connection with the wood paper groups so this is another task for children in primary school so this is also a random and tried to
find several of wood papers or
groups of rolling the dice so this is all I think it's the have you think you right much that that's a very interesting problems but actually how do you orchestrate them I mean do you have a classroom classes which come to you when
they fall you have them all the what to classes and or when you do you do with and who have classes we have several for our classes each day so all of and also the competition knees in school so which of the teachers in schools are working on that problems as well so at every year I think of 50
per cent more children use participating in the competitions like the problems
we and you think you would in fact