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Nim game

Ficha resumen

Descripción:

Counting was one of the first mathematical activities that primitive man had to learn how to do. Expressing a quantity with symbols meant a great step forward as they were the first number systems. However, they were awkward to work with. The decimal system and place-value notation, which we use nowadays, was thought up in India (VI - IX Century) and the Arabs introduced it to the Western world (X century) where it started to be used in the XIII century. We use the decimal number system as we have 10 fingers (the hand was the first calculator in history). The main advantage of this system is that it uses place-value notation (or positional notation) as the value of each figure depends on its position. However, there are other number systems too. For example, the theoretical mechanism which is used to make computers work is based on the binary number system. This unit is based on a game called Nim. The strategy used to win the game is to make certain calculations in base 2. The game is used as a way of introducing some initial concepts about number systems. Many scientific calculators used these days (including the one which comes with the operating system in your computer) can be used to work with other number systems: in binary (base 2), in octal (base 8) and in hexadecimal (base 16). You could investigate them when you have finished this unit.

Orientación didáctica:

LEARNING OBJECTIVES * To investigate by playing. * To understand the concept of a base in a number system. * To count using different number systems. * To understand the principle of the relative value * To express any number written in base 10 in another base. * To express a number written in any other base in base 10. * To express a number written in base m in base n. * To use base 2 as a strategy to win at Nim.

KNOWLEDGE TYPE: procedural

PRIOR KNOWLEDGE The contents required are explained in this course

Licencia:
creative commons: reconocimiento - no comercial - compartir igual
Descripción licencia:

The use of the following contents is universal, free of charge and open, provided that it is for non-commercial educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.

Destinatario:
alumno
Contexto:
aula

General

Idioma:
inglés
Palabras clave: Nim number systems Game
Ambito: universal
Estructura:
lineal
Nivel de agregación:
Secuencia Didáctica
Colección: Descartes
Nodo:
URL repositorio: /repositorio/04032010/79/es_2010030463_9220834
IMS Manifest Descargar fichero

Técnica

Formato:
image/gif
text/html
Tipo requerimiento:
sistema operativo
Nombre requerimiento:
multi-os
Tipo requerimiento:
navegador
Nombre requerimiento:
cualquiera
Consideraciones instalación:

Installation is not required

Otros requisitos plataforma:

Install and enable the Java interpreter and Plug-in of the Applet Descartes on local

Uso Educativo

Tipo recurso educativo:
escenario real o virtual de aprendizaje
Tipo interacción:
combinado
Nivel interacción:
alto
Densidad semántica:
baja
Edad: 14
Dificultad:
medio
Tiempo aprendizaje: 1H 40M / 2 teaching units
Idioma educativo:
inglés
Proceso cognitivo:
analizar
comprender
comprobar

Derechos

Coste licencia:
no
Tipo acceso:
universal
Descripción acceso:

es_cnice_20080623,es_{nodo}_20080923,es_clm_20091103121523455,es_murcia_20080422121523455,es_valencia_20081215,es_contenidos_20080623,es_canarias_20090114,es_aragon_20080930,es_larioja_20081107,es_cantabria_20081215,es_extremadura_20090126,es_navarra_20090202,es_castillayleon_20080422121523455,es_andalucia_20090324

Fecha publicación: 28.3.2015

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