Online education is becoming the norm in higher education. Effective instructional design methods are required to ensure that “ever-connected” students’ needs are being met. One potential method is design thinking: an agile methodology that stresses the importance of empathy with the student. The #OpenTeach fully online course was designed using design thinking principles and delivered in Spring 2020. This article reports on a case study which focused on the use of design thinking to design and develop the #OpenTeach course. The five iterative stages of design thinking (empathy, define, ideate, prototype and test) were integrated into the design and development of the course materials. The findings of this study indicate that the use of the design thinking process may be used by instructional designers to achieve empathy with their learners, which will ensure learners successfully engage and achieve the learning objectives of the course. Implications for practice or policy: A rich case study of the successful integration of design thinking within the instructional design methodology of an online teacher education project is valuable to educationalists who wish to follow a user-cntred empathetic approach. Instructional designers should focus on empathising with their student cohort to successfully engage students in the content that has been designed, and developed, as part of an online course.

The effectiveness of technology-enhanced resources in mathematics in higher education is far from clear, nor is student engagement with such resources. In this review article, we investigate the existing literature in three interrelated areas: student engagement with technology in higher education and mathematics; what works and what does not in technology in education and in mathematics in higher education; evaluating the use of technology in higher education and mathematics; and the use of frameworks and models. Over 300 research articles were identified for this purpose and the results are reported in this review. We found a dearth of studies in undergraduate mathematics education that specifically focus on student engagement with technology. In addition, there is no overarching framework that describes both the pedagogical aspects and the educational context of technology integration in mathematics.

In this paper we report on the outcomes of two surveys carried out in higher education institutions of Ireland; one of students attending first-year undergraduate non-specialist mathematics modules and another of their lecturers. The surveys aimed to identify the topics that these students found difficult, whether they had most difficulty with the concepts or procedures involved in the topics, and the resources they used to overcome these difficulties. In this paper we focus on the mathematical concepts and procedures that students found most difficult. While there was agreement between students and lecturers on certain problematic topics, this was not uniform across all topics, and students rated their conceptual understanding higher than their ability to do questions, in contrast to lecturers’ opinions.

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 their knowledge and point towards appropriate action. In this paper, we report on the evaluations of a number of technology-enhanced resources that used formative assessment techniques and were provided for students attending non-specialist first-year undergraduate mathematics modules in Ireland. Analysis of the evaluations and consultation with literature identified 12 decisive factors that encourage students’ successful engagement with the resources, covering aspects such as the educational context, affordances and types of technology, technological communication and formative assessment. These factors constitute important knowledge for practitioners as they can use them in the planning, design, and development of technology-enhanced resources for use in their modules. The measures observed during the evaluations indicated both positive and negative engagement providing a link between observations and resultant student engagement, which was found lacking in previous studies on student engagement.

There is a general agreement that many students struggle with the transition from secondary to higher education, particularly in the context of mathematics modules. Lecturers often suggest or supply supplemental resources to give students the opportunity to overcome their difficulties. In addition, students often seek out resources independently, many of which are provided through digital-age technology. Current research in this area focuses on the effectiveness of resources that mathematics educators have developed. However, it is unclear which resource types students select themselves and what specific content they seek. In addition, the type of resources that lecturers recommend to students is not well documented. In this article, we present findings from two surveys carried out in higher education institutes in Ireland: one involving students and the other involving lecturers. In particular, we focus on the resource types favoured by students and lecturers, the specific content that they relate to and the issues they seek to address.