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Knots & links

Maths week 2017 Dublin
by

Christian Mercat

on 18 October 2017

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Transcript of Knots & links



1. Posing the right questions
2. Real world → math formulation
3. Computation
4. Back to reality, verification
Christian Mercat
IREM de Lyon
Pedro Lealdino F.
nstitut
de
echerche
sur l'
nseignement
des
athématiques
Université Claude Bernard
Institut Camille Jordan
Modelling and Mathematics
Lady of Shalott
Cédric Villani
© Yann Pineill & Nicolas Lefaucheux
© Cédric Villani
mc
Squared
model
What are you dealing with?

What is the universe?

What are the relationships?
Identify
Define
Connect
Alfred Lord Tennyson
by William Maw Egley
Validate
X
X
Albert Einstein
Werner Heisenberg
Occam's razor
Horst.Burkhardt - Waldir - wikimedia CC BY SA
What is math?
http://www.ted.com/talks/conrad_wolfram_teaching_kids_real_math_with_computers
math >> computation
> ≠ =
>
Lateral Thinking
*
Iterate
Tip!
If you don't use it, please don't mention it...
make genuine choices that matter
Nobody likes to be wrong. There is not a unique model for a situation.
Abstraction is not the problem, reality is messy, simplifying it means making choices.
Create a world for your situation, give names to your creation.
What are the rules in your game? How do we get around your world?
Maths week 2017, Dublin
Knots
draw nice
Modelling to
_
_
_
.
_
.
© Trinity college
© Luckyfish http://www.art-tattoo.com/
Andreas F. Borchert CC-BY-SA-3.0-2.5-2.0-1.0, via Wikimedia Commons
http://www.hypatiasoft.fr
http://www.nctm.org/Publications/Mathematics-Teacher/2016/Vol110/Issue5/Mathematical-Modeling-in-the-High-School-Curriculum/
Maths of XXI: graph, algorithmic, fuzzy logic, information
complexity, control
mining, game theory
probability, decisions
logistic, optimisation
http://www.entrelacs.net
Full transcript