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2012 (Vol. 4, Issue: 12)
Article Information:

The Development and Validation of Conceptual and Procedural Understanding Test for Integral Calculus

Tuan Salwani Awang Salleh and Effandi Zakaria
Corresponding Author:  Tuan Salwani Awang Salleh 

Key words:  Achievement, conceptual understanding, integral calculus, procedural understanding, rasch measurement model, ,
Vol. 4 , (12): 1805-1814
Submitted Accepted Published
February 10, 2012 March 06, 2012 June 15, 2012

This study discusses the process of developing and validating a conceptual and procedural understanding test for integral calculus. The aim was to produce a valid and reliable test to measure students’ understanding of both types of knowledge, conceptual and procedural, in integral calculus. The test questions were developed in four main stages consisting of eight distinct systematic phases. The validation process started with discussions with content experts followed by a pilot test. Four experts provided inputs for the content validity purposes. Their inputs were used to produce a valid set of Integral Calculus achievement test comprising 15 questions. A pilot test assessed the reliability and fit statistics of the test. The test was administered to 79 students in a higher learning institution selected randomly from a group of students taking Integral Calculus. The data was analyzed using Winstep’s software to ensure the quality of the questions. The analysis was done separately for each construct. The results indicated excellent item reliability indices with very good index separation values for both constructs. However, the person reliability indices for both constructs were only fair to good. Likewise, the results revealed only fair index separation values. In terms of fit statistics, three conceptual understanding items were replaced with a new item. Meanwhile, for procedural understanding items, two items were combined and one misfitting item was modified. Based on the experts’ views and empirical data, the test questions were modified before they were used in the actual study.
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  Cite this Reference:
Tuan Salwani Awang Salleh and Effandi Zakaria, 2012. The Development and Validation of Conceptual and Procedural Understanding Test for Integral Calculus.  Research Journal of Applied Sciences, Engineering and Technology, 4(12): 1805-1814.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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