Study of the effect on students’ learning mathematics via using different background variables

• Main Authors: Lai, Pei-Chen, 賴培真
• Other Authors: Kuo, Bor-Chen
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/76200204606644246738

碩士 === 國立臺中教育大學 === 教育測驗統計研究所 === 99 === This thesis is referred to the measurement structure of the National Assessment Educational Progress (NAEP) to design the test “How to solve the algebra problem?” based on the subjects’ total scores. Then we utilize the one-factor hierarchical item response theory (HO-IRT) model to analyze the subjects’ total scores and domain scores. We also follow the conceptual questionnaire structure provided by Taiwan Assessment of Student Achievement (TASA) to design the mathematical learning questionnaire which can be categorized to seven classes: sex, family background, family resources, learning after class, parents participated in children education, personal interests, and mathematic test and so on. During the examination, subjects need to fill the questionnaire for the background data collection. In addition, this thesis further analyzes the interaction and statistical analysis between subjects’ questionnaire data and mathematic abilities in five aspects estimated via HO-IRT. Research results show that the Cronbach α coefficient of the “How to solve the algebra problem?” test is 0.823 which means this test has the better reliabilities. Summary of the questionnaire results that if the subject has the following conditions, he/she will have the better learning performance of the mathematical ability. These conditions are 1. living with parents, 2. no limitation for father’s career, mother serves in military, government or educational institution, 3. father has Master, Ph.D. or higher degree, and mother has Bachelor of Science, Master or higher degree, 4. parents can take part in the school activities, 5. to have 26 books or more suitable reading books, 6. to take lessons after school, 7. to discuss the math problems with classmates or family when study, 8. time for watching TV or using internet is less than one hour, and 9. to study more scientific, language/fiction, and historical literatures.