How can school mathematics prepare citizens for a democratic society? Answers to this question are not static; they change as society and its problems change. The SARS-CoV-2 pandemic with its corresponding disease COVID-19 presents such a problem: what is needed to navigate this complex situation that involves, among other things, mathematics? Using the essay genre, we use three narratives from three countries—Italy, the USA (California), and Germany—to reflect on the goals of teaching mathematics during this crisis and examine aspects of each country’s standards for mathematics education. These three stories are framed by the authors’ backgrounds, experiences, interests, their country’s situation, and response to the pandemic. We first present the three narratives and then examine common issues across them that might provide insights beyond this current crisis, for preparing students to become active citizens. In particular, we focus on three issues: (1) developing a positive mindset toward mathematics to engage with and reflect on real-world problems, (2) improving interdisciplinary connections to the sciences to better understand how science professional practices and insights are similar or different from everyday practices, and (3) considering interpersonal and collective matters beyond the individual.
Professional training for designers is crucial in the field of design studies. The characteristics of novices versus those of expert designers have been identified in the literature; however, studies exploring the issue of professional training processes in the actual workplace are not well developed. Our study addresses the topic by using qualitative research methods along with flexible design. Collected data from the interviewees with different work experience were analysed by open, axial and selective coding. Herein, we argue that the processes by which a designer transforms from a novice into an expert in the industry are constructed through the interaction of several complicated factors. The re‐learning inherent in design professions is implemented through knowledge transfer gained from participation in design projects, particularly regarding tacit knowledge. Also, the novice's process of learning and training yields the characteristics and skills that companies and firms require of designers; this process involves a series of disciplinary sub‐processes, from destructive to reconstructive, implemented by employers. In these sub‐processes, the subjectivity of designers is neglected, leading to the suppression of imaginative expression and feelings of alienation among these workers. 相似文献