Exploring the Functionality of Visual and Non-Visual Strategies in Solving Rotation Problems

This article deals with the solving of rotation problems, and shows that there is an alternative to using mental rotations or their encoding into verbal terms: namely using geometrical properties. The idea is consistent with the theory which distinguishes between visual and analytical individuals, but uses the construct strategies instead of the construct preferred processing mode. Moreover, contrary to many researchers who refer to this distinction, but who often use it to classify students, this researcher introduces a new parameter, namely the nature of the task. The article presents the analysis of the functionality and effectiveness of the different kind of strategies as a function of the task's characteristics. The research, dealing not with individual traits but with solving strategies, offers information that could be helpful for the improvement of geometry teaching.

[1]  L. A. Tartre Spatial Orientation Skill and Mathematical Problem Solving. , 1990 .

[2]  R. Baldy,et al.  De l'espace du dessin a celui de l'objet. Une activité de mises en correspondances entre des dessins en perspective cavalière et des objects réels , 1988 .

[3]  P. Black,et al.  Qualitative data analysis for educational research : a guide to uses of systemic networks , 1983 .

[4]  Norma C. Presmeg,et al.  Visualisation in High School Mathematics. , 1986 .

[5]  E. Fischbein The theory of figural concepts , 1993 .

[6]  Richard T. Houang,et al.  Adolescents' ability to communicate spatial information: Analyzing and effecting students' performance , 1989 .

[7]  A. Paivio Imagery and verbal processes , 1972 .

[8]  Glen Lean,et al.  Spatial ability, visual imagery, and mathematical performance , 1981 .

[9]  Gaea Leinhardt,et al.  Functions, Graphs, and Graphing: Tasks, Learning, and Teaching , 1990 .

[10]  Alan J. Bishop Spatial abilities and mathematics education—A review , 1980 .

[11]  Norma C. Presmeg,et al.  Visualisation and mathematical giftedness , 1986 .

[12]  Peter Galbraith,et al.  Aspects of proving: A clinical investigation of process , 1981 .

[13]  Vadim Andreevich Krutet︠s︡kiĭ The Psychology of Mathematical Abilities in Schoolchildren , 1976 .

[14]  François Grize,et al.  The Analysis of Qualitative Data , 1979 .

[15]  R. Hershkowitz Mathematics and Cognition: Psychological Aspects of Learning Geometry , 1990 .