Nim : Serious Math with a Simple Game

by Freeman, Christopher M.; O'Shaughnessy, Stephanie; Draze, Dianne; Conroy, Sonsie

• ISBN13: 9781883055400
• ISBN10: 1883055407
• Edition: 2nd
• Format: Paperback
• Copyright: 2001-09-01
• Publisher: Sourcebooks Inc

Table of Contents

Teaching Notes	5	(7)
Record of Games	12	(1)
Strategy Worksheets	13	(2)
Game Instructions
The 100 Game	15	(1)
The Basic Game of Nim	15	(1)
Vary the Number of Objects	16	(1)
Any Number of Objects	16	(1)
Take 1, 2, or 3	17	(1)
Take 1, 2, 3, or 4	17	(1)
Take 1, 2, 3, 4, or 5	18	(1)
Take 1, 2, ..., k	18	(1)
Take 2 or 3	19	(1)
Take 2, 3, or 4	19	(1)
Take 3 or 4	20	(1)
Take j, ..., k	20	(1)
Take 1, ..., k, Last One Wins	21	(1)
Take j, ..., k, Last One Wins	21	(1)
Three Players, Last One Loses	22	(1)
Three players, Last One Wins	22	(1)
Three Players Two Players Colluding	23	(1)
Four Players	23	(1)
Two Piles, Last One Wins	24	(1)
Two Piles, Last One Loses	24	(1)
Take from Either or Both Piles	25	(1)
Three Piles	25	(2)
Questions and Solutions
The 100 Game	27	(1)
The Basic Game of Nim	28	(1)
Vary the Number of Objects	29	(1)
Any Number of Objects	30	(2)
Take 1, 2, or 3	32	(2)
Take 1, 2, 3, or 4	34	(2)
Take 1, 2, 3, 4, or 5	36	(1)
Take 1, 2, ..., k	37	(1)
Take 2 or 3	38	(2)
Take 2, 3, or 4	40	(1)
Take 3 or 4	41	(1)
Take j, ..., k	42	(1)
Take 1, ..., k, Last One Wins	43	(1)
Take j, ..., k, Last One Wins	44	(2)
Three Players, Last One Loses	46	(2)
Three Players, Last One Wins	48	(2)
Three Players, Two Players Colluding	50	(2)
Four Players	52	(2)
Two Piles, Last One Wins	54	(2)
Two Piles, Last One Loses	56	(2)
Take from Either or Both Piles	58	(2)
Three Piles	60