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Designing a Computer Cube Enumeration Test System based on Virtual Item Bank Theory
Cube is the basic unit of volume and hence it is often used to introduce its concepts. For tests, cube enumeration is always used to measure or promote mental images and manipulation ability of 3-D geometric objects. Cube enumeration tests usually are not open for the public whose understanding is only limited to exercise books found at general bookstores. The main reason for this limitation is to maintain the test security. This study combined Classical Test Theory (CTT), Computer Based Test (CBT), Automatic Item Generation (AIG), Virtual Item Bank Theory (VIB) and theories related to cube enumeration to construct a VIB-based cube enumeration test and a learning system. The item bank of the VIB-based cube enumeration test was a virtual one. The VIB contained only basic element – cube. With these cubes, items would be directly generated and therefore there wouldn’t be item exposure problem for the item bank. 267 sixth graders of New Taipei City elementary school participated in this experiment. Their mid-term math grades were used as the external criterion in the test. This study found out that: 1. Both the number of invisible cubes and the integrity of cubes were positively correlated to item difficulty. 2. In addition to the number of invisible cubes and the integrity of cubes, whether test items could be rotated also influenced item difficulty. 3. Based on the results of both tests, there is no significant difference in spatial visualization ability between male and female preadolescence students. 4. The scores of the computerized cube enumeration test also indicated that this system could measure their spatial visualization ability. 5. Applying the cube enumeration learning system did improve users' spatial ability.
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