This article explores the transition from traditional to hybrid and fully online flipped classroom models in the Bachelor of Educational Sciences program at the University of Luxembourg, focusing on the mathematics education of pre-service elementary school teachers. Over eight years (2014-2022), the program evolved from teacher-centred lectures…

The purpose of this study was to evaluate the quality of research-based learning conducted remotely through the use of the Moodle learning management system using the Context, Input, Process, and Product (CIPP) evaluation model. Data sources include lecturers, students, faculty documents, study program materials, and Moodle learning management…

Despite the increasing popularity of using video-recorded lectures, we still understand little about how different video styles and study strategies during video lectures may affect student learning. In this paper, we present a systematic investigation of video-recorded lectures in the context of secondary school mathematics education. Study 1…

In this article we present a case study concerning a simple but efficient technical and logistic concept for the realization of blended teaching of mathematics and its applications in theoretical mechanics that was conceived, tested and implemented at the Department of Civil, Environmental and Mechanical Engineering (DICAM) of the University of…

This article is concerned with the approaches to the root concept that lecturers in calculus, linear algebra and complex analysis employ in their instruction. Three highly experienced university lecturers participated in the study. In the individual interviews the participants referred to roots of real numbers, roots of complex numbers, roots as…

Education, science, and technology disciplines at all levels have never been more important, more exciting, or more crucial for its broader impacts on human society. The need for advanced technical skills is increasingly pressing to address climate change, combat COVID and other diseases, enhance the infrastructural built environment, grow food…

This study aims to evaluate the consistency of teaching content with teaching approaches in calculus on the basis of lecturers' views. In this sense, the structures of the examples given in two commonly used calculus textbooks, both in traditional and reform classrooms, are compared. The content analysis findings show that the examples in both…

This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…

Computer-aided assessment (CAA) has been used at a university with one of the largest mathematics and engineering undergraduate cohorts in the UK for more than ten years. Lecturers teaching mathematics to first year students were asked about their current use of CAA in a questionnaire and in interviews. This article presents the issues that these…

Mathematics is full of surprises and beauty. In this article, the author discusses three favourite topics that he finds both amazing and amusing: (1) the problem of the possibility of subdividing a rectangle into a number of different squares; (2) the arrangement formed when several soap bubbles meet; and (3) circles and spheres.

This research study investigates how pre-service teachers integrate statistical content, students' thinking, and pedagogy as they examine how 11- to 12-year olds develop mathematically. The findings provide insights into: a) how pre-service teachers identify some of the difficulties that students commonly have, and b) what pedagogical approaches…

This study reports from a pre-service teacher's online learning and assessment activity on determining variability of two graphical artefacts. Using a critical-analytical perspective to data, the present study indicates that the prospective teachers surveyed showed awareness of relevant subject specific operators and methods; however, these seem…

This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

This article reports on an international study of the teaching of undergraduate mathematics in seven countries. Informed by rhetorical genre theory, activity theory, and the notion of Communities of Practice, this study explores a pedagogical genre at play in university mathematics lecture classrooms. The genre is mediational in that it is a tool…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…