The purposes of this study were to develop a mathematics achievement test for the seventh graders in Tainan based on the Grade 1-9 Curriculum, and to explore the difference in performance for variables of gender, tutoring, scale of school, public-private school and textbook version. The population of this study consisted of the eight graders in Tainan City. Three samples were drawn for this study: the first tryout sample¡]n=402¡^, the second tryout sample¡]n=455¡^and the norm sample¡]n=870¡^. The Mathematics Achievement Test for Seventh Graders developed by the researcher was used. The data were analyzed in two dimensions: 1. items and test with methods of CTT and IRT; and 2. the difference in performance for variables of gender, tutoring, scale of school, public-private school and textbook version with statistical testing methods. The results of this study were listed below: I. Item and Test Analysis: 1.Regarding the difficulty and discrimination of CTT, the average difficulty of interval scale¡]¡µ¡^of items was 12.14, the mean of percentage passing and discrimination were 0.58 and 0.52, respectively. 2.According to the result of the reliability examination, the Cronbach value of internal consistency was 0.85, the test-retest reliability indicated 0.86, the split-half reliability showed 0.86. 3.The evidences of validity about this test were well content-related, criterion-related, construct-related. As for the result of the validity examination, the content validity of this test was through experts¡¦ review and judgment. The criterion validity was based on significantly positive correlation of the monthly test scores for each school. The construct validity had established in two ways of the internal consistency and the different groups analysis. 4.Analyzing items with IRT, 3PL model, the mean of discrimination (a), difficulty (b) and guessing(c) are 1.23, 0.14 and 0.21, respectively. 5. DIF was present for the item 17 between gender groups. 6. The correlations of item difficulty values between IRT and CTT were 0.97¡ã1.00, the correlations of item discrimination were 0.21¡ã0.95. The correlation between ability parameters of IRT model and total score of CTT ranged from 0.98 to 1.00. The result of indices between IRT and CTT revealed high correlations. 7. This test established a percentile rank and T-score norms. II. Testing of the performance differences with significance level£\=0.01: 1.The student¡¦s performances were significantly different between gender groups, and the female exceeded male. 2.The performances of the students who accepted tutoring after school hours were better than the others¡¦ performances significantly. 3. The student¡¦s performances in the public and private school were significantly different, and the private school outperformed the public school. 4.The performances of the students in private school were better than the performances of the students¡]both accepting tutoring and not ¡^in public school. And in public school, the performances of the students accepting tutoring were better than the students not accepting tutoring. 5.As for the school scale, the large is better than the small, and the middle is better than the small at statistical significant level. 6.In the textbook version, this test found that the performance of student using the version Nani surpassed the performance of student using the version Hanlin, and the version Jenlin outshined the version Hanlin. Finally, based on the results and findings of this study, numerous suggestions for the practical use of the test and future researches were provided.

The goal of this research is to investigate the common properties of the transformation of the social studies area competence indicator into teaching objectives for elementary school. The competence indicators for the first, second, and third learning stage in the area of ¡§person-space¡¨ were considered in this research. The method of content analysis was used to compare the corresponding teaching objectives amongst a collection of textbook for these competence indicators. A number of surveys were conducted using a Delphi based questionnaire to gather the opinions of elementary school curriculum developers, textbook publishers and reviewers, and the field teachers on the transformation of the competence indicators for the first, second, and third learning stage in the area of ¡§person-space¡¨ into the corresponding teaching objectives contained in these textbook. The main findings of this research are following: 1.The transformation are usually made by first analyzing the level of competence and the core concept aspects of the competence indicator and then followed by the actual construction of the feasible teaching objectives derived based on the results of such analysis. 2.For the elementary school social studies area of ¡§person-space¡¨, the transformations of the competence indicator for the area subject axis made by the various editor groups of these textbook were different not only in the number but also in the feasibility and concept of the resulting teaching objectives. The different might be resulted from the various approaches took by the editor groups to analyze and interpret the indicators. 3. Three survey, each using a Delphi based questionnaire, were conducted to gather opinions on the transformations made for the social studies area of ¡§person-space¡¨ from the curriculum expert and scholars, textbook editors and publishers, textbook reviewers, and elementary school field teachers. The result indicated that the four groups gradually gained the consensus on the transformations made for a total of 20 competence indicators and the resulting teaching objectives. For the analysis of competence indicators, all four groups achieved the agreement in the aspect of competence; and in the aspect of core concept, all four groups achieve the mutual agreement in all but three core concepts. As for the analysis of teaching objectives, all four groups obtained the consensus in all but eight of the objectives. 4. Additional analyses using the ANOVA method were performed for those core concepts and teaching objectives that the agreement was not reached. The results of comparison indicated that the group of curriculum experts and scholars and the group of elementary school field teachers were significantly different in the approval degree aspect. The group of curriculum experts and scholars and the elementary school field teachers were significantly different in the teaching objectives aspect. Finally, based on the findings of this research, some suggestions on the transformation of the competence indicators for the first, second, and third learning stage in the elementary school social studies area of ¡§person-space¡¨ will be proposed and made available to the field teachers, curriculum developers, textbook publishers and the reviewers, and the later researchers for their reference.