Chapter 3 consists of the games that require the skill levels through
multiplication and division. These games consist of The Prime Number Game, The
Perfect Number Game, The Semi-Perfect Number Game, The Powerful Number Game,
The Divisor Game, The Sum of Squares Game, The Syracuse Algorithm Game, and
The Fib-Tri-Prime Game. The games in Chapter 3 are in general appropriate for
children in grades 4, 5, and 6, depending on their skills levels, inclusive of gifted
children. The Perfect Number Game has been especially popular with children, in
particular because of the stimulating open problems about perfect numbers in
mathematics; i.e. are there infinitely many perfect numbers and does there exist an odd
perfect number (see the Perfect Number problem section in Chapter 1). The games in
Chapter 3 are excellent teaching devices to motivate children to practice their
multiplication and division skills in an enjoyable way, in addition to enhancing their
creative thinking capacities (see some of the teacher and teacher education Numberama
workshop participant responses in Appendix).
Keywords: The divisor game, The Fib-Tri-Prime game, The perfect number
game, The powerful number game, The prime number game, The semi-perfect
number game, The sum of squares game, The syracuse algorithm game.
