The results of confirmatory factor analysis to the instructional model to enhance Mathematical competencies for grade eight students

Abstract

          The purposes was of this research were : 1) to study the basic data of  instructional model to enhance Mathematical competencies for grade 8 student 2) to anslyze the confirmatory factor to Mathematical competencies for grade 8 student. The sample was students at school under Secondary Educational Service Area Office Prachin buri Nakornnayok, by used Multi–stage Random Sampling whose 20 times of size of sample to one observed variable. This research had 15 observed variables, identify 300 samples, So we used 400 samples. The instrument used to collected data was a questionnaire which discriminate value between 0.54 to 0.77 and at 0.93 confidences level.
          The research results was found that The basic data of a instructional model was instructional model to enhance Mathematical  competencies includes 5 elements: (1) principle (2) objective (3) contents (4) instructional procedure and 5) procedure for productivity measurement and evaluation.
          The results of confirmatory factor analysis to Mathematical competencies consisted three factors such as 1) Thinking and reasoning with factor loading 0.95 2) Communication with factor loading 0.94 and 3) Problem solving with factor loading 0.99 being significant at the 0.01 level. Association of Mathematical competencies model and confirmatory factor analysis was investigated. Confirmatory factor analysis result of Mathematical competencies  model for grade 8 student  associated with empirical data with the Chi-Square at 70.77 , df = 57, p = 0.11 , CFI = 0.99, AGFI = 0.96 and RMSEA = 0.025. It’s shown that the model which developed can to explain Mathematical competencies and associated with empirical data.