Machines Designed to Play Nim Games (1940-1970) : A Possible (Re)Use in the Modern French Mathematics Curriculum ?. Rougetet, L. In Hart, E. W. & Sandefur, J., editors, Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research, of ICME-13 Monographs, pages 253–271. Springer International Publishing, Berlin, 2018. Abstract of the book : This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.![Machines Designed to Play Nim Games (1940-1970) : A Possible (Re)Use in the Modern French Mathematics Curriculum ? [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper abstract bibtex The latest reform of the French high school education system leads to changes in the content of the curricula. In mathematics, a new theme entitled “algorithmic and programming” aims at initiating pupils (7th-9th grades) to “write, develop and run a simple program.” To achieve this, the curriculum offers several class activities centered on “games in a maze, […], Nim game and Tic-Tac-Toe.” As the mathematical solution of Nim relies on the binary system, easily characterized by bistable circuits, the first electromechanical Nim playing machines were built in the 1940s, followed later by smaller and purely mechanical machines. This article presents these inventions – which claimed pedagogical purposes – and considers their use in class as a recreational application to tackle the algorithmic and programming theme
@incollection{rougetet_machines_2018,
address = {Berlin},
series = {{ICME}-13 {Monographs}},
title = {Machines {Designed} to {Play} {Nim} {Games} (1940-1970) : {A} {Possible} ({Re}){Use} in the {Modern} {French} {Mathematics} {Curriculum} ?},
isbn = {978-3-319-70307-7},
shorttitle = {Teaching and {Learning} {Discrete} {Mathematics} {Worldwide}},
url = {//www.springer.com/gp/book/9783319703077},
abstract = {The latest reform of the French high school education system leads to changes in the content of the curricula. In mathematics, a new theme entitled “algorithmic and programming” aims at initiating pupils (7th-9th grades) to “write, develop and run a simple program.” To achieve this, the curriculum offers several class activities centered on “games in a maze, […], Nim game and Tic-Tac-Toe.” As the mathematical solution of Nim relies on the binary system, easily characterized by bistable circuits, the first electromechanical Nim playing machines were built in the 1940s, followed later by smaller and purely mechanical machines. This article presents these inventions – which claimed pedagogical purposes – and considers their use in class as a recreational application to tackle the algorithmic and programming theme},
language = {english},
number = {2520-8322},
booktitle = {Teaching and {Learning} {Discrete} {Mathematics} {Worldwide}: {Curriculum} and {Research}},
publisher = {Springer International Publishing},
author = {Rougetet, Lisa},
editor = {Hart, Eric W. and Sandefur, James},
year = {2018},
note = {Abstract of the book :
This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.},
keywords = {CFV - Autre langue, CFV - Axe 1, CFV - Enseignement, CFV - Jeux \& mathématiques, CFV - OK, CFV - Publi, CFV - Titulaires, HCERES - Chap},
pages = {253--271},
}
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