The University of Montana
Department of Mathematical Sciences

Technical report #22/2010

An Exploratory Study of Relationships between Students' Creativity and Mathematical Problem-Posing abilities

Xianwei Yuan
Dept of Mathematics
Illinois State University
USA

Bharath Sriraman
Dept of Mathematical Sciences
The University of Montana
USA

Abstract

In this paper we report on a cross cultural study involving U.S and Chinese high school students exploring the construct of mathematical creativity from a problem posing point of view. Numerous quantitative batteries such as the Torrance Tests of Creative Thinking [TTCT] and problem posing tasks are used to discern similarities and differences in creative abilities of comparable groups of U.S and Chinese students. Among the findings reported in this paper are a significant relationship between creativity and mathematical problem-posing abilities of high school students taking advanced courses in the Chinese group but not in the U.S. group.

Keywords: creativity; divergent thinking; generalizing; mathematical creativity; mathematical problem posing; problem solving; Torrance Tests of Creative thinking;

AMS Subject Classification: 97

Preprint of chapter to appear in B.Sriraman, K. Lee (eds.), The Elements of Creativity and Giftedness in Mathematics, xx–xy. © 2010 Sense Publishers (239 KB)