In this case study, we investigate how an inquiry-oriented interactive calculus textbook supported one U.S. college instructor's classroom teaching. We utilized analytical inquiry-oriented frameworks on observation data from a small classroom to capture textbooks' influence on the instruction conceptualized by the Teacher-Mathematics-Student face…

A commonly-held belief is that many university students are 'assessment-driven'; that is, students engage more with activities that are assessed compared with those that are not. 'Incentivised engagement' includes the practice of providing incentives (such as marks or otherwise) for students to engage in particular activities. Perusall is a social…

Over the last several decades, digital technology (DT) integration in teaching and learning mathematics has received considerable attention, as such integration has not led to the expected results. Teacher education is a critical factor -- even more important than access to tools and devices -- in technology-enhanced teaching and learning. The…

This study investigates how pre-service mathematics teachers integrate technology into their classroom practices, which normative behaviour they formulate in the classroom and the relationship between such behaviour and the integration process of technology. The study integrates two frameworks, the Instrumental Orchestration and Sociomathematical…

In this paper we studied the personal mathematical work of 14 students in initial teacher training, in their first year of studies at a public university in Chile, based on two tasks on complex numbers. These tasks were set in a Computer Aided Assessment System (CAA) based on Moodle and Wiris and it was proposed to solve them using different…

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…

The paper introduces the notion of collateral creativity as an unintended outcome of the appropriate use of technology, both physical and digital, in the teaching of mathematics. The notion is motivated by Dewey's conceptual framework of collateral learning which enables one gaining knowledge beyond the intent of the traditional curriculum.…

The current research sought to test the effect of using technology on students in various mathematics courses. The study was conducted in the mathematics department of our college of education. We tested how the students evaluate our teaching method and how involved they are in the acquisition of knowledge while using different digital…

YouTube is one of the most popular sources of mathematical help among young students. In this study we explore the perspectives of engineering students on the use of YouTube videos with the intention of broadening our understanding of the general characteristics of the mathematical help that students obtain through this type of videos,…

In March 2020, COVID-19 restrictions required our university courses to be offered in online mode only. This quick transition meant that lecturers were suddenly tasked with adapting their classroom-based teaching approaches and materials to the online space. For mathematics teacher educators (MTEs), whose on-campus classes were characterized by…

This case study investigated the development of prospective mathematics teachers' technological pedagogical content knowledge (TPACK) in graphical data displays with (VM) within the context of a microteaching lesson study (MLS). This research investigated how five participants integrated technology and implemented a lesson plan aimed to teach…

This study explores contradictions that emerge when utilizing a flipped classroom approach to university mathematics education. The work uses Activity Theory and its principle of dialectical contradiction as a theoretical framework to identify and analyse contradictions that arise in flipped mathematics classrooms for engineering students. Data…

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…

A review of related research found the use of recorded lecture videos (RLVs) in undergraduate mathematics to be negatively correlated with academic performance. To investigate this correlation, an initial study found students' regular RLV use to be linked to surface approaches to learning. The present study continued this investigation and was…

This article discusses the development of an interactive online textbook for undergraduate teaching, in response to moving teaching online due to COVID-19. The development took place initially for a university with less than 5% of students studying online in 2019. The online textbook was incorporated into a large, diverse, multidisciplinary and…