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The term 'transition' describes a process of change, which involves discontinuities and often crisis. The ICMI Topic Survey by Gueudet et al. (2016) offers a recent overview on transitions, describing transitions in mathematics education from three distinct perspectives: epistemological, cognitive and socio-cultural. The authors then state that any change in one of the three dimensions can be considered a transition in mathematics education. The volume, a very comprehensive survey of the state of the art in this field, goes on to describe both the theoretical frameworks that have been adopted to understand transitions, and the topics and research questions that scholars have investigated in each of the theoretical perspectives adopted.Gueudet et al. ( 2016) observe that much of the research related to the transition from school to university mathematics has addressed predominantly the epistemological and cognitive difficulties students face. Recently, considering what Lerman (2000) calls 'the social turn', two perspectives have been added to the study of this transition: the affective (e.g. Di Martino & Gregorio, 2019;Geisler & Rolka, 2021) and the socio-cultural (e.g. Hernandez-Martinez & Williams, 2013) perspective. This shift in focus was the first motivation for the development of this Special Issue of Educational Studies in Mathematics. On the one hand, we asked whether and how much the turn to a holistic view of transitionone that considers the socio-cultural and affective as well as the cognitive aspects of this phenomena-had inspired scholars and motivated studies about the transition into university mathematics outside the well-rehearsed consideration of cognitive difficulties that students encounter in mathematics at the start of a STEM degree. On the other, we wanted to contribute to this social turn, involving scholars from a variety of theoretical perspectives.
The term 'transition' describes a process of change, which involves discontinuities and often crisis. The ICMI Topic Survey by Gueudet et al. (2016) offers a recent overview on transitions, describing transitions in mathematics education from three distinct perspectives: epistemological, cognitive and socio-cultural. The authors then state that any change in one of the three dimensions can be considered a transition in mathematics education. The volume, a very comprehensive survey of the state of the art in this field, goes on to describe both the theoretical frameworks that have been adopted to understand transitions, and the topics and research questions that scholars have investigated in each of the theoretical perspectives adopted.Gueudet et al. ( 2016) observe that much of the research related to the transition from school to university mathematics has addressed predominantly the epistemological and cognitive difficulties students face. Recently, considering what Lerman (2000) calls 'the social turn', two perspectives have been added to the study of this transition: the affective (e.g. Di Martino & Gregorio, 2019;Geisler & Rolka, 2021) and the socio-cultural (e.g. Hernandez-Martinez & Williams, 2013) perspective. This shift in focus was the first motivation for the development of this Special Issue of Educational Studies in Mathematics. On the one hand, we asked whether and how much the turn to a holistic view of transitionone that considers the socio-cultural and affective as well as the cognitive aspects of this phenomena-had inspired scholars and motivated studies about the transition into university mathematics outside the well-rehearsed consideration of cognitive difficulties that students encounter in mathematics at the start of a STEM degree. On the other, we wanted to contribute to this social turn, involving scholars from a variety of theoretical perspectives.
Recent research in university mathematics education has moved beyond the traditional focus on the transition from secondary to tertiary education and students' understanding of introductory courses such as pre-calculus and calculus. There is growing interest in the challenges students face as they move into more advanced mathematics courses that require a shift toward formal reasoning, proof, modeling, and problem-solving skills. This survey paper explores emerging trends and innovations in the field, focusing on three key areas: innovations in teaching and learning advanced mathematical topics, transitions between different levels and contexts of mathematics education, and the role of proof and proving in advanced university mathematics. The survey reflects the evolving landscape of mathematics education research and addresses the theoretical and practical challenges of teaching and learning advanced mathematics across various contexts.
The transition from secondary to tertiary education is an exciting and yet challenging event in the educational biography of students. During this transition, students often meet with unexpected challenges, which may cause them to drop out from their degree program. Many universities offer bridging courses or longer-term interventions to support their incoming students in this period. To examine the effect of a bridging course designed to reduce gaps in prior mathematical knowledge, promote social-emotional well-being, and foster learning skills, we implement a repeated-measures intervention study. We analyze the outcomes of the intervention, which features tutors with special training, autonomous choice of topic areas, peer learning, and materials for self-directed learning. We measure the development of motivational beliefs reflecting the will to learn (achievement goals, satisfaction of basic psychological needs, implicit theories, self-efficacy) and the skills to learn (reactions to errors, self-regulated learning) at the secondary-tertiary transition. These aspects are captured at multiple measurement points among students (N = 679) who participate in the bridging course (intervention group) and those who do not (control group). The intervention boosts motivational beliefs related to social embeddedness and learning skills in the short term. The observed decrease in autonomy, competence, and self-efficacy might be explained by higher standards that students use for their self-assessment in the new peer group. In the long term, all aspects of the will to learn, except for social relatedness, show stable to strongly negative developments in both groups. Among those students who do not participate in the bridging course, mostly strongly negative developments are observed. The results suggest that the peer tutoring strategy is highly effective and the need for longer-term interventions to uphold the positive short-term effects.
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