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IC16: Mathematics Down To Earth: A Game Of Cartography

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so you all know the error and just I'm very happy to be here at imaginary conference so thank you for inviting me here I am Allah sun-dried would for querying and that is a start-up company focus on innovation and in new means into data date into didactic we make exhibitions standard optical keep for teachers to bring it to school is doing lessons meaning we haven't DVDs focus on 1 hour here is to Howard Community is for middle and high school and we also make exhibition to bring into festivals and into
museums we have somehow disputed that imaginary has so we try to make mathematics that being visually appealing it and also full of meaning it's not only the visual part so the mathematical from we started some
years ago between 2014 as a company this is an exhibition we made about spherical and hyperbolic geometry presented 1st that the festival are signed in general it is 1 of the biggest festival in Europe and which I thought was also an interactive things so the visitor of our exhibition are directly asked to interact with objects to study some real life situation in the blue picture over there you can see a little more than the a train that started to the use to study the waiting time when I am at store problems last of ritual underground and we also make some statistics about it and some probability studies the last this 1 picture is an incident our last exhibition we made its last year it's called Mathematica that in Italian that general really translate that as mathematics don't work it's focuses on cartography community and we studied different projections from the sphere of Europe to maps and what the properties our bodies that they made const preserve areas they may preserve distances from texas point they can try to preserve the much they can the shape of the continent we also try a little thing in this exhibition that is
gamification which try to build things a little game for this play we need to focus their attention and to try to make them learn something so widely airplanes and this is also what I into do so I need to people from the public to come here with me on stage the
interest is in the hands of an image of a of the the so in the stop if yes it again of the
is by all just a little configuration parents OK so you can take those
games that they were using the variety that some for static compressed number
4 OK now we have some projection of some different maps we can choose between so going left to right single laughter right to choose
different this is a sinusoidal 1 did carbon metal 1 now this
is kind of kinky that's with this 1 OK the aim of this game is to reach this scholar and DOFs just here getting there are 6 of them this 1 for the green plane that 1 is for the red plane and once you reach 1 of his daughter 3 2nd to reroute yourself pointing to the next 1 this and S is going to have no this is then a visual how that cities were the next 1 we look here I so what mathematical trick is behind this game the 2 planes goes at the same speed so it's not a game about who is faster to get there in speed but the 1 who will get to the DOS 1st is the 1 we can trace geodesic better than the other player
so you have to put in order to win you have to calculate a faster than the other player how a shape the geodesic on this kind of the and here we are so the green player win win the
60 . 6 seconds and then this meeting 75 and so at the uncompressed number 4 we have you have to press the important OK let's use a different kind of map of this is for the projection of q is very hard OK so I noticed here you process that 3 Boston and so what's happening to people can see me what what happens to the uh rapidly what are those lines the the yes yes this is a metric of the on the plane of the projection on the plane and you can tell by the
fact that the single is not constant it varies as dot
moves that these map is not aimed at preserving if you did if we did the same thing on the map at the projection of those 2 lines would have ever been at the writing of 1 another and also what's happening OK Green win and
OK and 1 in on
OK let's also press the number to bottom on this so we have also announced their greed of Meridian part as on the map will help us so I'm asking 1 more thing to public what's happening to the shapes of the planes and their dimension I don't get bigger larger distorted the but it may be is not is not the right 1 to notice that because of this man plane are always the same dimensions because these mappings are a preserving In the map before where we could have noticed that in the planes became bigger as you approach more distorted those on the map and so they they were applied in that is so thin that tricks on the map just not an ellipse but a plane like sheet in tricks you name it the end of the union the ball is teaching of it you you uh out of this solvents that the 3rd
time invariant 1 possible inflation is that in
and
the we OK so what this
gamification make possible it make possible for us to focus their attention during the execution we usually develop oxidation that our 1 hour longer during visits so it's very difficult to bring up detection for such a long time also it makes possible for kids for middle school kids but also for high school students to understand something while they are playing if you try to explain geodesic in an abstract way to students they probably will forget will miss some important part of in
very short time we believe that this kind of was of experience could really help students to remember what they are doing remember also the experiencer sometimes when we came to a single school 2 years in a row the 2nd here's a student remember us for all the ones with the game playing something like that so it made it easier
for the teacher to scaffold newly-acquired knowledge more easy to bring the knowledge scattering then teenagers pieces and out build something upon this kind of newly acquired knowledge so if you have any questions if you want like to share some experience and bring us some comments there are my context on Sunday also adopted dynamic convenient about and I take you for your attention if
thank you very much so that any questions do you have some strategies how to obtain the thing Kate some exhibited on from DB find what's the work the find here that I think
it's been if I would say that we have a translated into English as so well that In no we
don't really have a strategy to do an end of strategy 1 fits all maybe we can focus on the single activities and try to think how to begin the fire deceptive it is all only some parts of the system is and the stuff we aim to do if we gaining the experience into this exhibition but then we set only to have 1 game game this 1 with planes and then the rest of edition is more sound that 1 of the very usual of that thought of so of course usual yeah
video questions the the I have it try to use Asian maps or in some way convey the history of cryptography out because that's also into technology and you have you
trying to understand how people have developed better maps and no reasoning dislikes vision we had some historical maps but it was only at 2 radical DVDs so more right frontal lesson we don't have any interactive activities on mention them we use the simple and as a map for interactive a begin nucleation works for all the Jews in practice we tried
dollywood a limited public so I can answer with D is gaining densities yes sir between 13 years old and an open and
so we have also bottoms of these young said that played with the game and the state also after the visitors over to play a game with a single game so for now the answer is yes but I don't know I can't speak for future kind of its positions so have fun cannot and what about gender and justice appeal equally well to boys and girls yes for for our experience yes there were there were the same numbers of boys and girls which preceded this game so 1 of the features they most ask does is to have the school board with the best time results the and we plan to add it for future it's at the hands of and maybe this 1 to 1 more
question the and thank you very much for for the game it's a true communicates minutes to I I'm about to if for example of given and I'm not a mathematician held there will be much much to behind or to supplement the so maybe I want to out better review got out on a test that would explain what's happening behind the game so that defamatory epinotum mood very much matter status hop in order to stand behind the game this is requirements if you say yes and this was not the think about as a stand-alone activities but it would come at the end of I know wrong exhibitions
sold this is also also kind of test to to know if a student that followed the OLA of the exhibition and understood something really strong the continent and we tried to bring it to them so this is a sort of a some
summer of all the exhibition to of the world of less than this speaker again thank you the you
Standard error
Arithmetic mean
Standard deviation
Focus (optics)
Mathematics
Optics
Game theory
Area
Statistics
Observational study
Real number
Multiplication sign
Projective plane
Incidence algebra
Mereology
Distance
Sphere
Wave packet
Hyperbolische Geometrie
Category of being
Mathematics
Object (grammar)
Imaginary number
Game theory
Configuration space
Variety (linguistics)
Projective plane
Complex (psychology)
Right angle
Game theory
Number
Plane (geometry)
Depth of field
Game theory
Plane (geometry)
Lattice (order)
Order (biology)
Projective plane
Line (geometry)
Subtraction
Geodesic
Number
2 (number)
Projective plane
Line (geometry)
Greatest element
Plane (geometry)
Hausdorff dimension
Multiplication sign
Mereology
Ellipse
Number
Maxima and minima
Game theory
Multiplication sign
1 (number)
Student's t-test
Game theory
Focus (optics)
Strategy game
Gamma function
Focus (optics)
Newton's law of universal gravitation
Plane (geometry)
Strategy game
Game theory
Mereology
Focus (optics)
Physical system
Focus (optics)
Greatest element
Population density
State of matter
Multiplication sign
Gender
Game theory
Focus (optics)
Resultant
Position operator
Number
Statistical hypothesis testing
Many-sorted logic
Mathematics
Order (biology)
Game theory
Student's t-test
Mathematician
Focus (optics)
Mathematics
Focus (optics)
Imaginary number

Metadata

Formal Metadata

Title IC16: Mathematics Down To Earth: A Game Of Cartography
Title of Series Imaginary Conference 2016
Part Number 17
Number of Parts 26
Author Cattaneo, Alessandro
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.
DOI 10.5446/33862
Publisher Imaginary gGmbH
Release Date 2016
Language English

Content Metadata

Subject Area Mathematics
Abstract How to design a mathematical exhibition in order to catch the attention of people? It is a game of topics, of choices, of new technologies, all of them playing little but fundamental roles. This is the story of one of our attempts to hit this mark: the exhibition “Mathematics down to Earth” - an exhibition about cartography.

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