Designing Open-Ended Question Scoring for Assessment of Student Mathematical Proficiency Levels Through Digital Technology

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Apinya Fiothong
Putcharee Junpeng
Prapawadee Suwannatrai
Samruan Chinjunthuk
Chaiwat Tawarungruang

Abstract

The study aimed to (1) analyze students’ multidimensional response patterns for determining cut scores for assessment of mathematical proficiency levels on the topic of Measurement and Geometry, and (2) to design and assess the quality of open-ended question scoring for assessment of mathematical proficiency levels through digital technology. Design research was applied. The sample consisted of 528 grade 7 students. The research instrument was an open-ended question test on the topic of Measurement and Geometry through diagnostic tools in an online testing system—"eMAT-Testing.” The analysis of the collected data employed the MRCML model.
The results were as follows:
1. On determining cut scores of mathematical proficiency levels by defining criterion zones on Wright Map, it was found that mathematical processes featured five levels with four cut scores, ranging from the lowest to highest as follows: -2.30, -0.43, 0.78, and 1.15, respectively. Similarly, conceptual structures consisted of five levels with four cut scores, including -2.76, 0.11, 0.46, and 1.16, respectively. Such cut scores can be employed to determine proficiency ranges, scale scores, and raw scores as criteria for assessment of mathematical proficiency in each dimension.
2. In terms of designing the open-ended question scoring through digital technology, it featured five parts, namely (1) input, (2) process, (3) processing, (4) output, and (5) assessment reporting. The assessment of its quality through standards-based assessment and heuristic assessment conducted by experts showed that: (1) the standards-based assessment on all 3 aspects— accuracy, utility, and feasibility—were rated with the highest level of assessment. (2) Based on the heuristic assessment, the overall system had the highest level of suitability; visibility of system status was rated with the highest level of assessment, while aesthetic and minimalist design obtained the lowest level of assessment.

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