IC16: Designing Spatial Visualisation Tasks
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IC16: Designing Spatial Visualisation Tasks
Formal Metadata
Title 
IC16: Designing Spatial Visualisation Tasks

Title of Series  
Part Number 
5

Number of Parts 
26

Author 

License 
CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
Identifiers 

Publisher 

Release Date 
2016

Language 
English

Content Metadata
Subject Area  
Abstract 
The purpose of this talk is to introduce some tasks to develop spatial visualization ability through mathematical experience.

00:00
Mathematics
Multiplication sign
Cube
Heat transfer
Imaginary number
Spacetime
00:49
Free group
Direction (geometry)
Spacetime
Spacetime
01:38
Symmetry (physics)
Cube
Reflection (mathematics)
Projective plane
Similarity (geometry)
02:43
Platonic solid
Projective plane
03:13
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
07:20
Platonic solid
Presentation of a group
Group action
Multiplication sign
Connected space
08:20
Group action
Social class
09:20
Mathematics
Imaginary number
00:01
the all of you here and
00:08
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
00:50
would so we have a lot of pretty also in every direction think too late so don't the 1st thing I would
01:00
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
01:40
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
02:19
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
02:45
also from to what he the and
02:51
and problems with the paper so we have a projection of the being joke and other pictures on Platonic solids and of course
03:05
now in a little more interesting problems and coloring the corners of the man's coloring the edges of demands
03:15
coloring the faces of the Platonic solids which are not actually in the name so you
03:20
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
07:22
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
08:18
find several of wood papers or
08:21
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
08:53
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
09:20
per cent more children use participating in the competitions like the problems
09:29
we and you think you would in fact