\input zb-basic \input zb-matheduc \iteman{ZMATH 2010c.00016} \itemau{Ryga\l, Gra\D{z}yna} \itemti{Development of mathematical thinking of pupils at all educational levels.} \itemso{Billich, Martin (ed.) et al., Teaching mathematics. Innovation, new trends, research. Proceedings from the 15th Slovak-Czech-Polish mathematical school, Spi\v ssk\'e, Podhradie, Slovakia, June 4--8, 2008. Ru\v{z}omberok: Catholic University, Pedagogical Faculty (ISBN 978-80-8084-418-9/pbk). Scientific Issues, 255-260 (2009).} \itemab Summary: We discuss mathematical games developing logical thinking of pupils by using exercises with the M\"obius strip and spirals. \itemrv{Antoni Chronowski (Krakow)} \itemcc{A20 G20 G40 D40} \itemut{matematical thinking; mathematical games; propaedeutics; geometry} \itemli{} \end