id: 05361953
dt: b
an: 2009b.00054
au: Adrian, Yeo
ti: Are you the king, or are you the joker. Play math for young children.
so: Hackensack, NJ: World Scientific (ISBN 978-981-270-404-7/pbk). xviii,
150~p. (2006).
py: 2006
pu: Hackensack, NJ: World Scientific
la: EN
cc: A91 A92 U61 U62
ut: card games; arithmetic; preschool education; primary education
ci: Zbl 0759.00002
li:
ab: This book is based on the author’s experiences in teaching his
grandchildren mathematics through card games. There are six card games
aimed at children in nursery school and pre-school; six card games for
children in pre-school and the primary grades; and six card games for
children in primary and higher primary grades. An appendix presents
card game versions of the now classic car and goat problem [see, for
example, {\it L. Gillman}, Am. Math. Mon. 99, No. 1, 3‒7 (1992; Zbl
0759.00002)]; Bertrand’s Box paradox; and the classic “Birthday
Problem." This reviewer found a few minor issues that really don’t
detract from the value of the book. First of all, multiplication is not
repeated addition, although repeated addition can be modeled by
multiplication. For example, how does one express the complex product
$i \times i = -1$ as a repeated addition? Even a product such as $(3/8)
\times (8/3) = 1$ requires some contortion to be viewed as a repeated
addition. Finally, the definition of division as the inverse of
multiplication is an algebraic one. Children view division as either
partitive (sharing) or quotative (repeated subtraction).
rv: Steven C. Althoen (Holly)