Even prior to COVID-19, there had been an increase in the use of technology in undergraduate mathematics education to support the development of mathematical understanding and skill, and to enhance the student learning environment. Technology-enhanced resources can be used to provide formative assessment which can help students identify gaps in…

This paper provides some insights into the use of example-generating tasks in the design of a technology-rich learning environment to enhance students' mathematical thinking. The paper reports on an early stage of a design-based research project concerning the design of tasks and associated feedback utilising the affordances provided by a combined…

In recent decades, there has been rapid development in digital technologies for automated assessment. Through enhanced possibilities in terms of algorithms, grading codes, adaptivity, and feedback, they are suitable for formative assessment. There is a need to develop computer-aided assessment (CAA) tasks that target higher-order mathematical…

We describe an organizing principle for online learning materials; we term coherently organized digital exercises and expositions. Larger in scale than individual lessons but smaller than a programme of study, this innovation in instructional practice is increasingly guiding our thinking in the development of university mathematics courses.…

In this classroom note, we outline a system of assessment used by the authors since 2020 to deliver individualized summative assessments to students from first- and second-year mathematics courses. Our system comprises three modular components allowing a mix-and-match of different technological approaches and mathematical question types. First is…

The purpose of this qualitative study was to understand how undergraduate math students perceive their learning in an online learning environment. A review of the literature revealed a need for additional qualitative research on the perceptions of students in the online learning environment. The specific elements of interest were technology,…

We investigate and compare assessment practices in two (dual- and single-mode) institutions in Nigeria. A mixed-methods approach was employed. Descriptive statistics and narration were carried out for the purpose of determining what the assessment practices were and how they may be related to the students learning of undergraduate mathematics in…

In this paper we report a study in which we have developed a teaching cycle based closely on Bloom's Learning for Mastery (LFM). The teaching cycle ameliorates some of the practical problems with LFM by making use of the STACK online assessment system to provide automated assessment and feedback to students. We report a clinical trial of this…

Computer-aided assessment systems are increasingly used in education for both formative and summative assessment. Example of such a system from the area of mathematics education is the platform Maple T. A. (Testing and Assessment), which was developed specially for assessment in mathematics. The paper is focused on the efficiency of the use of the…

In this paper we describe computer-aided assessment methods used in online Calculus courses and the data they produce. The online learning environment collects a lot of time-stamped data about every action a student makes. Assessment data can be harnessed into use as a feedback, predictor, and recommendation facility for students and instructors.…

Computer-assisted assessment (CAA) is widely used in modern university courses in many different fields. It can be used both in formative and summative assessments and with different emphasis on (self-)training, grading, and feedback generation. This article reports on experiences from using the CAA tool "JACK" to support a university…

In this paper, we report on developments in the Mastery Learning (ML) curriculum and assessment model that has been successfully implemented in a metropolitan university for teaching first-year mathematics. Initial responses to ML were positive; however, we ask whether the nature of the ML tests encourages a focus on shallow learning of…

We demonstrate how the re-marker and reporter facility of the DEWIS e-Assessment system facilitates the capture, analysis and reporting of student errors using two case studies: logarithms and indices for first-year computing students at the University of the West of England, and Sturm-Liouville problems for second-year mathematics students at…

A system was developed for automatic generation of problems and solutions for examinations in a university distance course in discrete mathematics and tested in a pilot experiment involving 200 students. Considering the success of such systems in the past, particularly including automatic assessment, it should not take long before such systems are…

On-line quizzes are used to help first year University Mathematics students identify weaknesses in their basic skills and improve them. Quizzes developed as a formative tool have been utilised at JCU [James Cook University] for eight years. However, before this research no-one has questioned the effectiveness of quizzes for this task. We present a…