Humanization of Online Mathematics Questions Development and Logical Grading Techniques

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Abstract During shift to online mathematics practices, instructors usually abandon most of their classical questions in favor of easily gradable questions. These questions prevent students from effective and intended learning outputs. This work proposed a human-like grading approach for comprehensive mathematics questions. The questions were developed based on an open sourced plugin, the System for Teaching and Assessment using a Computer Algebra Kernel (STACK). The practice was studied using two undergraduate engineering mathematics courses at the University of Dar es Salaam, which were delivered through Moodle e-Learning system. The courses cover the contents in Linear Algebra, Calculus, Complex numbers and Numerical Methods. In addressing the issue of authoring easily- gradable online questions, we have re-used and digitized with randomisation the classical questions from the previous years. Several cases were demonstrated with human-like grading procedures. Grading with partial scores from unsorted multi-inputs answers has been outlined and demonstrated. The technique shall assist instructors to author high quality STACK questions with the taste of paper-pen questions' quality and natural grading approach. Automated mathematics practice and assessment shall also be favored to replace classical fashion, which are usually expensive to run, which shall also open the doors for fully conducting mathematics and related subjects online programmes.

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