Development And Validation Of Mathematics Test (MT) For Senior Secondary Schools

Otuoku Karl
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Abstract

- The purpose of this study was to construct and validate a mathematics test. Five research questions were employed in conducting the study. Test items were constructed and sent to two content specialists who jointly rated the relevance of the MT items. Based on the recommendation of these resource persons, nine to ten items were randomly sampled on each domain specifications and built into the form 1 MT. In a situation where items assessed two or more behaviors, other items constructed to measure the behavior were eliminated. This practice helped to cut down form 1 MT from 100 items to 54. Form 1 MT was face-validated in terms of clarity of words and plausibility of distracter by specialist in educational measurement and evaluation, and mathematics teachers. This MT was also tried tested and the difficulty and distracter indices of the items determined. The form II MT (i.e. 54 items) was administered to 324 students and their response were used in determine the proportions of students who showed mastery. The findings of this study show that the MT II is a valid and reliable instrument. The major implication of these findings is that MT should be used in both formative and summative evaluation of student’s performance in mathematics tests. 20 students scored 46-50 marks, 23 students scored 51-55 marks, 30 students scored 56-60 marks, and 25 students scored 61-65 marks. 22 students scored 66-70 marks, 12 students scored 71-75 marks and 5 students scored 76-80 marks. When these scores (A & B) was plotted in the same graph, two curve was obtained and the point where the two curve intercept is 45%. This become the accepted cut-off for the MT. Coefficient of agreement Po; above shows the measure of the proportion of students for whom the same decision, mastery or non-mastery is made on both administration, i.e. test 1 and test 2 by the raters. In the above table, 2 test was administered to a sample of 324 students and result classified for both test.
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高中数学考试的开发与验证
-本研究的目的是构建和验证一个数学测试。在进行研究时采用了五个研究问题。测试项目被构建并发送给两位内容专家,他们共同评估MT项目的相关性。根据这些资源人员的建议,在每个领域规范中随机抽取9到10个项目,并构建到表格1mt中。在项目评估两种或两种以上行为的情况下,为测量行为而构建的其他项目被淘汰。这种做法有助于将1吨从100件减少到54件。表格1由教育测量与评价专家和数学教师对单词的清晰度和干扰因素的合理性进行面部验证。并对该MT进行了试验,测定了题目的难度指数和分心指数。表格II MT(即54个项目)对324名学生进行了管理,并使用他们的回答来确定表现出精通的学生的比例。本研究结果表明,MT II是一种有效和可靠的仪器。这些发现的主要含义是,MT应该同时用于学生在数学测试中的表现形成性和总结性评价。46 ~ 50分有20人,51 ~ 55分有23人,56 ~ 60分有30人,61 ~ 65分有25人。66-70分22人,71-75分12人,76-80分5人。将这些分数(A和B)绘制在同一张图中,得到两条曲线,两条曲线的截距为45%。这成为MT的公认截止值。上图显示的是评分者在两种管理(即测试1和测试2)中做出相同决定的学生比例,即精通或不精通。在上表中,对324名学生样本进行2检验,并对两项检验的结果进行分类。
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