A STUDY AND THEORETICAL RESEARCH ON RELIABILITY

Dr. Prakash Deep Agrawal

Abstract


- Values in mathematics education are not generally discussed, studied, practiced or measured, but values are an important emotional aspect of learning mathematics. This article proposes the development of tools for measuring these values that are useful in teaching and learning mathematics. The discussion focuses on the reliability and validity of sub constructs and equipment. The instrument consisted of 36 items with three sub constructs: general educational value, mathematical educational value, and mathematical value. Each substructure is represented in several dimensions. The data was collected from 325 instructors at 17 admissions universities in the country. Descriptive statistics, configurations, sub configurations, dimension reliability statistics, and item analysis consisting of item-to-item correlations, item total correlations, and Cranach's alpha value when the item was deleted were presented. The proposed theoretical frame structure was checked for one-dimensionality using the main analytical residuals and several fit indices were checked using confirmatory factor analysis. The alpha values for constructs, 3 sub constructs, and 9-dimensional Cronbach were found to be very high. The results of higher-order confirmatory factor analysis showed that the general value structure and mathematical values do not have an acceptable goodness of fit. Only math lesson values show acceptable quality adjustments. Item analysis has shown that items show good correlation with other items, and the total correlation of acceptable items between sub constructs, constructs, and items within nine dimensions. The results of the main analysis of the residuals showed that math education and math values could be one-dimensional. Musical instruments can convey more knowledge about the development of values in math lessons. In addition to conducting surveys on larger samples, it is advisable to conduct a detailed survey of dimensional and value indicators to obtain more information on the reliability and validity of the equipment.

Keywords: reliability, item analysis, constructs validity, one-dimensionality


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