The research and development of two-tier computerized diagnostic test in the 'Reduced, Enlarged and Scales' unit of the sixth grade

Autor: Chang,Chinghui, 張靜惠
Rok vydání: 2011
Druh dokumentu: 學位論文 ; thesis
Popis: 99
The purpose of this study was mainly to develop a two-tier computerized diagnostic test combining the two-tier test and Bayesian networks. Next, the test was applied in the “Reduced, Enlarged and Scales” unit of the sixth grade math lessons to diagnose students’ math concepts and misconceptions. The procedure of the study had four general steps: collected related literature and analyzed misconception data of students from open-ended test; used the data to develop two-tier multiple choice items in which the first tier examined content knowledge and the second examined understanding of that knowledge; combined students’ responses in two-tier test with three different Bayesian modules to assess the effectiveness of the combined diagnosis models; chose the best combined diagnosis model and two-tier test questions to develop a computerized diagnostic test about the “Reduced, Enlarged and Scales” unit. Finally, the math concepts and misconceptions of students were analyzed according to the diagnostic reports. The major findings of this study were as followings: 1. When only the binary-answers in the first tier of each item were adopted by the two-tier computerized diagnostic test, the Cronbach α value was 0.81. When binary-answers in the first tier and in the second tier of each item collectively were adopted, the Cronbach α value was 0.83. The result showed that using two-tier test would get higher reliability. 2. Comparing the efficiency of the one-tier items combined model and the two-tier items combined models, the latter model was better than the former one in identification rate of math concepts and misconceptions. 3. There was little difference between two kinds of two-tier items combined models proposed in this study. 4. Applying the two-tier items combined diagnosis model in the “Reduced, Enlarged and Scales” unit of the sixth grade could build a good diagnostic test to diagnose students’ math concepts and misconceptions both. 5. In the “Reduced, Enlarged and Scales” unit, students got better performance in finding out the corresponding points and the notation of Scales. Furthermore, students easily mistook that the angle of the figure diminished as the figure reduced, and could not calculate the area of reduced or enlarged graph correctly. 6. In the misconceptions of the “Reduced, Enlarged and Scales” unit, students were easily to make mistakes in calculating area of reduced or enlarged graph. 7. The non-negative comments of students on two-tier computerized diagnostic test were up to 81.84%, above all, 94.46% of students agreed that the computerized test system interface was distinct and easy-operated; 81.84% of students thought they have no pressure under the computerized test. Based on the findings, some suggestions were offered regarding instructional application and future research. Key words: “Reduced, Enlarged and Scaled”, misconception, two-tier test, Bayesian network, computerized diagnostic test
Databáze: Networked Digital Library of Theses & Dissertations