Development of Mathematics Achievement Goal Orientation Scale (MAGOS): Validity and Reliability Study

B. Çetin, Ziya Gökalp
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Abstract

The present study aims to develop a valid and reliable instrument for measuring students' mathematics achievement goal orientation. The participants were 356 high school students studying in Diyarbakir in 2013-2014 Education Year Spring Semester. Expert opinion was consulted with regard to the scale's content and face validity. Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis (CFA) were performed in order to measure the scale's construct validity. As a result of EFA, a 25-item and a four-factor structure, which explains 51.15% of the total variance was obtained. The emerging factors were named learning approach, performance approach, learning avoidance and performance avoidance. The findings obtained CFA indicated that the 25 items and four-factor structure related to Mathematics Achievement Goal Orientation Scale (MAGOS) have satisfactory goodness of fit indices. As for the criterion related validity, the calculation of correlation between students' scores obtained from the MAGOS and mathematics achievement scores reported findings similar to the ones in the literature. The scale's reliability coefficients were calculated by means of Cronbach Alpha and composite reliability methods. The reliability analysis showed that the Cronbach Alpha coefficients were .85, .78, .71 and .67 for learning approach, performance approach, learning avoidance and performance avoidance subscales respectively. On the other hand, the composite reliability coefficients were .80, .66, .57 and .52 for learning approach, performance approach, learning avoidance and performance avoidance subscales respectively. In order to determine the discriminatory power of the MAGOS items corrected item total correlation was calculated. The findings of the item analyses showed that item total correlation range between .37 and .68 and all of the items in the scale were discriminatory. In light of these findings it could be argued that the scale is reliable and valid and can be used in order to test students' mathematics achievement goal orientation. © 2014 IOJES. All rights reserved
数学成就目标导向量表的编制:效度与信度研究
本研究旨在开发一种有效可靠的测量学生数学成就目标取向的工具。研究对象为2013-2014学年春季学期在迪亚巴克尔学习的356名高中生。就量表的内容和表面效度征询了专家意见。采用探索性因子分析(EFA)和验证性因子分析(CFA)测量量表的构念效度。通过EFA分析,得到了一个25项4因子的结构,解释了51.15%的总方差。新出现的因素分别是学习取向、绩效取向、学习回避和绩效回避。结果表明,数学成就目标取向量表(MAGOS)的25个条目及其四因子结构具有令人满意的拟合优度指标。在标准相关效度方面,对MAGOS学生分数与数学成就分数的相关计算结果与文献相似。量表的信度系数采用Cronbach Alpha和复合信度法计算。信度分析显示,学习方法、绩效方法、学习回避和绩效回避子量表的Cronbach Alpha系数分别为0.85、0.78、0.71和0.67。另一方面,学习方法、绩效方法、学习回避和绩效回避的复合信度系数分别为0.80、0.66、0.57和0.52。为了确定MAGOS项目的区分能力,计算了修正项目的总相关。项目分析结果显示,项目总相关范围在0.37 ~ 0.68之间,量表中所有项目均具有歧视性。综上所述,本量表具有较高的信度和有效性,可用于测试学生的数学成就目标取向。©2014 iojes。版权所有
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