The use of fully online (FO) mathematics teaching has been increasing worldwide. Despite claims and findings that mathematics is more challenging to teach FO than face-to-face (F2F), we know little about FO mathematics teaching. In this paper, we address this gap by working to elucidate the differences between teaching in the FO and F2F modalities. We do this by examining FO and F2F teaching from the perspective of Communities of Practice (Wenger, Social learning systems and communities of practice, 2010) by comparing and contrasting current FO practices (or “ways of doing”) in the general undergraduate education community with current F2F practices in the undergraduate mathematics community. We identify six key differences between the two paradigms, which we recast to spotlight areas for technological and pedagogical development.

中文翻译：

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本科数学完全在线教学：从实践社区的角度回顾

全在线 (FO) 数学教学的使用在全球范围内不断增加。尽管声称和发现数学比面对面 (F2F) 教授 FO 更具挑战性，但我们对 FO 数学教学知之甚少。在本文中，我们通过阐明 FO 和 F2F 模式教学之间的差异来解决这一差距。我们通过比较和对比普通本科教育社区中当前的 FO 实践（或“做事方式”），从实践社区（Wenger，社会学习系统和实践社区，2010）的角度检查 FO 和 F2F 教学来做到这一点与当前本科数学社区的 F2F 实践。我们确定了两种范式之间的六个关键差异，我们将其重新定义以突出技术和教学发展的领域。