second floor

Lluís Santaló Room

Statistics and probability

This room is located in one of the octagonal towers that frame the Mercader Palace, and is dedicated to the modules of probability and statistics.

lluis santalo

Who was Lluís Santaló?

Lluís A. Santaló (Girona, 1911 – Buenos Aires, 2001) was a Catalan mathematician who lived much of his life in Argentina where he went into exile in 1939 fleeing the Franco dictatorship.

In addition to being a renowned mathematician, he also stood out as a scientific communicator and expert in didactics.
The Lluís Santaló Chair of Applications of Mathematics at the University of Girona has compiled most of his work.

The MMACA is considered heir to his ideas regarding didactics and dissemination. Read, for example what he told us in the interview that the magazine L'ESCAIRE did to him in 1985:

Intuition is essential to the acquisition of conocimientos. Tiene sus peligros, and in view of ello, has existed the tendency of irla diminishyendo, bajo pretexto to logate a logical majority. Esto está muy bien on the upper level, for the systematizing mathematics. But learning is something. As well as the stomach digiere sin saber chemistry, asf nuestro intelecto asimila muchos conocimientos por saltos discontinuos, sin necesidad to follow the rigorous paths but pesados of the logic. What hay que hacer is to ayuda to the intuición and educate him so that he does not make mistakes. Hacer that the mathematics sea intuitive is the work of the maestros and teachers. Cuando a theorem bequeaths to be intuitivo, ya no se olvida más.

cornella_sala_santalo

Some modules in this room

A drum that allows you to collect a sample of 50 balls and estimate the proportion of colored balls.

We randomly put 8 balls in the 15 holes. Surprisingly, almost always some matches.

Additional resources and material

Chance is not regular

LS01 – Chance is not regular

This module consists of a transparent box with white ping pong balls and some oranges. A lever allows you to hit the base and stir them. This way we can see how there are almost always areas with all the white balls and places where oranges accumulate.

Recommended age: +10 years

Keywords: RANDOMNESS, CAUSALITY, EPIDEMIOLOGY, STATISTICS, PROBABILITY

LS02 – The drum, the samples and the confidence intervals

A transparent cylinder with thousands of balls of two colors, and a device that allows to collect small samples. The proportion of colored balls observed in the sample allows to determine (with a 95%) probability between what values is the proportion of color balls throughout the drum.

Recommended age: +14 years

Keywords: SAMPLE, CONFIDENCE INTERVAL,
PERCENTAGE, STATISTICS, PROBABILITY

modul_pedres

LS03 – Taking a sample of 10 stones

The module consists of extracting and weighing a representative sample of 10 stones among the set of 100 pebbles of different sizes.

Recommended age: +14 years

Keywords: SAMPLE, RANDOMNESS, STATISTICS, PROBABILITY

GAME OF THE HAC

LS04 – GAME OF THE HAC

This game of chance consists of an H-shaped board where the bets are placed.

Recommended age: +10 years

Keywords: DAU, HOPE, FAIR PLAY, PROBABILITY

Intransitive dice

LS04 – Non-transferive dice

Board with abac type counters and three tetraerid dice of scores (4,4,4,1) , (3,3,3,6) and (2,2,5,5). It allows to check that the probability of one dice winning the other sets a circular scheme and there is no absolute winning dice.

Recommended age: +10 years

Keywords: FRACTION, PERCENTAGE, PROPORTION, TRANSITIONALITY, ORDERING, LAPALCE, STATISTICS, PROBABILITY

Finding balance

LS07 – Seeking balance

The game consists of a board with 16 tiles with different colored faces and two tetraelic cubes to obtain the coordinates of each tile. It allows you to experience how visible colors vary.

Recommended age: +8 years

Keywords: POPULATIONS, STRATEGY, EVOLUTION, PROBABILITY

Mors tua vita mea

LS07 – Mors tua vita mea

A board with red and green tiles that represent a population that evolves randomly following the rules. It allows you to experience which growth option is best.

Recommended age: +10 years

Keywords: POPULATIONS, STRATEGY, EVOLUTION, PROBABILITY

Coincidences, 15 holes and 8 eggs

LS08 – Coincidences, 15 holes and 8 eggs

This device with 15 holes allows us to verify that the probability of randomly laying 8 eggs, some eggs have coincided in the same hole, is very high. When opening the doors, it is checked.

Recommended age: +10 years

Keywords: EVENT, OPPOSITE EVENT, BIRTHDAYS, PROBABILITY