Abstract
Computational geometry is a new (about 30 years) and rapidly growing branch of knowledge in computer science that deals with the analysis and design of algorithms for solving geometric problems. These problems typically arise in computer graphics, image processing, computer vision, robotics, manufacturing, knot theory, polymer physics and molecular biology. Since its inception many of the algorithms proposed for solving geometric problems, published in the literature, have been found to be incorrect. These incorrect algorithms rather than being ‘purely mathematical’ often contain a strong kinesthetic component. This paper explores the relationship between computational geometric thinking and kinesthetic thinking, the effect of the latter on the correctness and efficiency of the resulting algorithms, and their implications for education.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 219-237 |
| Number of pages | 19 |
| Journal | International Journal of Mathematical Education in Science and Technology |
| Volume | 34 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 2003 |
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ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Education
- Applied Mathematics
Cite this
On the role of kinesthetic thinking in computational geometry. / SellarÈs, J. Antoni; Toussaint, Godfried.
In: International Journal of Mathematical Education in Science and Technology, Vol. 34, No. 2, 01.01.2003, p. 219-237.Research output: Contribution to journal › Article
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TY - JOUR
T1 - On the role of kinesthetic thinking in computational geometry
AU - SellarÈs, J. Antoni
AU - Toussaint, Godfried
PY - 2003/1/1
Y1 - 2003/1/1
N2 - Computational geometry is a new (about 30 years) and rapidly growing branch of knowledge in computer science that deals with the analysis and design of algorithms for solving geometric problems. These problems typically arise in computer graphics, image processing, computer vision, robotics, manufacturing, knot theory, polymer physics and molecular biology. Since its inception many of the algorithms proposed for solving geometric problems, published in the literature, have been found to be incorrect. These incorrect algorithms rather than being ‘purely mathematical’ often contain a strong kinesthetic component. This paper explores the relationship between computational geometric thinking and kinesthetic thinking, the effect of the latter on the correctness and efficiency of the resulting algorithms, and their implications for education.
AB - Computational geometry is a new (about 30 years) and rapidly growing branch of knowledge in computer science that deals with the analysis and design of algorithms for solving geometric problems. These problems typically arise in computer graphics, image processing, computer vision, robotics, manufacturing, knot theory, polymer physics and molecular biology. Since its inception many of the algorithms proposed for solving geometric problems, published in the literature, have been found to be incorrect. These incorrect algorithms rather than being ‘purely mathematical’ often contain a strong kinesthetic component. This paper explores the relationship between computational geometric thinking and kinesthetic thinking, the effect of the latter on the correctness and efficiency of the resulting algorithms, and their implications for education.
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U2 - 10.1080/0020739031000071511
DO - 10.1080/0020739031000071511
M3 - Article
AN - SCOPUS:85013697196
VL - 34
SP - 219
EP - 237
JO - International Journal of Mathematical Education in Science and Technology
JF - International Journal of Mathematical Education in Science and Technology
SN - 0020-739X
IS - 2
ER -