Mathematics Primary School OILER School

Game theory and proof

LOVLEIS is a pathway for primary school. Through the study of various two-player games, it tackles some topics of logic and game theory. Within a story, the class follows a fairy-tale journey through various places, each linked to games with specific features. One of the main aims of the pathway is to clarify the concept of strategy in a game, that is, a set of behaviours decided in advance that leads to a certain outcome. At a more abstract level, the notion of strategy is closely analogous to the notion of a program, in computer science, and of a proof, in mathematics.

Data Sheet

OVERALL DURATION OF THE PATH ON AVERAGE: 15 hours


CLASSES: 4th and 5th grade. However, it's possible to adapt the work for the first two grades.


Skills:
The pupil:

  • reads and understands texts involving logical and mathematical aspects;
  • solves simple problems in every content area, keeping track of both the solving process and the results, describes the process followed and recognises solution strategies different from their own;
  • builds arguments by formulating hypotheses, supporting their own ideas and engaging with other people's points of view.



MULTIDISCIPLINARY LINKS: italian


The route was designed by Luigi Bernardi, Marta Menghini with the great help of the book "Raccolta di giochi a due" by Lucia Salomone.

No activities yet: more are coming soon!

LOVLEIS is a pathway for primary school. Through the study of various two-player games, it tackles some topics of logic and game theory. Within a story, the class follows a fairy-tale journey through various places, each linked to games with specific features. One of the main aims of the pathway is to clarify the concept of strategy in a game, that is, a set of behaviours decided in advance that leads to a certain outcome. At a more abstract level, the notion of strategy is closely analogous to the notion of a program, in computer science, and of a proof, in mathematics.

No activities yet: more are coming soon!

Data Sheet

OVERALL DURATION OF THE PATH ON AVERAGE: 15 hours


CLASSES: 4th and 5th grade. However, it's possible to adapt the work for the first two grades.


Skills:
The pupil:

  • reads and understands texts involving logical and mathematical aspects;
  • solves simple problems in every content area, keeping track of both the solving process and the results, describes the process followed and recognises solution strategies different from their own;
  • builds arguments by formulating hypotheses, supporting their own ideas and engaging with other people's points of view.



MULTIDISCIPLINARY LINKS: italian


The route was designed by Luigi Bernardi, Marta Menghini with the great help of the book "Raccolta di giochi a due" by Lucia Salomone.

Ada Lovelace

Ada Byron Lovelace is considered a pioneer of computer science. She inherited the gifts of both her parents, the mathematician Annabella Milbanke and the famous poet George Byron, and so became a mathematician and a writer. Her mother encouraged her passion for science by having her study with the mathematician and astronomer Mary Somerville and by taking her to the most industrialised areas of England. It was on one of these journeys that she saw the Jacquard loom, which later gave her the idea of using punched cards to program the first calculating machines. In 1833 Ada met Charles Babbage, an English mathematician and inventor who was working on the analytical engine, a mechanical device designed to carry out calculations automatically. Fascinated by this ingenious project, Ada began working with Babbage to explore what the machine could do. The machine was never built, but Ada realised, more than Babbage did, that computers would go beyond the ability to calculate. In 1843 Ada translated an article by the Italian mathematician Luigi Menabrea on Babbage's ideas, adding long and detailed notes. These notes, known as Ada's Notes, contained the first real algorithm meant to be carried out by a machine, anticipating the idea of computer programming. Sadly, Ada Lovelace's life was short: she died of cancer at only 36.

“The Analytical Engine weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves.”