Geodesic
Errors Analysis of Mental Cutting Test Using Models Instead of Drawings as Presenting Problems
Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 251-264.

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We performed a modified MCT based on the hypothesis that if stereoscopic vision, which had been employed to give depth cues, was replaced with an actual object (model) and if subjects could rotate the model freely, they could understand three-dimensional images easily. In the investigation, a "predetermined-direction MCT" and an "arbitrary-direction MCT" were employed. The results were compared with those obtained for the perspective-based MCT. The comparison results are summarized as follows: (1) The average score was higher by approximately 2 points and the accuracy rate was higher for 8 out of 25 problems in the predetermined-direction MCT than in the perspective-based MCT. (2) Regarding problems, the accuracy rate of which increased, the relative position of the section and convexo-concave configuration of the solid body were correctly recognized in the predetermined-direction MCT. Thus errors occurring in the perspective-based MCT were confirmed to occur in the process of recognizing three-dimensional shapes and in the process of recognizing the relative position between the section and solid body. (3) Compared with the perspective-based MCT, the average score did not increase for the arbitrary-direction MCT. In the arbitrary-direction MCT, as shapes were difficult to recognize in some problems due to the loss of horizontal/vertical-related clues, visible and obvious intersection points were used to try to generate section shape images. Thus, we observed that methods of drawing solutions or the problem-solving strategy peculiar to model observation were used.
Classification : 97U50
Mots-clés : MCT, depth cues, predetermined-direction MCT, arbitrary-direction MCT 
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     author = {E. Tsutsumi and A. Ishimura and M. Kajitani and Y. Suzuki and K. Suzuki },
     title = {Errors {Analysis} of {Mental} {Cutting} {Test} {Using} {Models} {Instead} of {Drawings} as {Presenting} {Problems}},
     journal = {Journal for geometry and graphics},
     pages = {251--264},
     publisher = {mathdoc},
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     number = {2},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a10/}
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E. Tsutsumi; A. Ishimura; M. Kajitani; Y. Suzuki; K. Suzuki . Errors Analysis of Mental Cutting Test Using Models Instead of Drawings as Presenting Problems. Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 251-264. http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a10/