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