This exploratory study reports on characteristics of proof production and proof writing observed in the work of first-year university students who took part in workshops on the theorem prover LEAN (https://leanprover.github.io). These workshops were voluntary and offered alongside a transition to proof module in a UK university. Through qualitative analysis of 36 student produced proofs of an unfamiliar statement we highlight characteristics of proofs produced by students who did engaged and who did not engage with LEAN. The analysis shows two characteristics of proofs written by students who engaged with the programming language. The first concerns proof writing and includes the accurate and correct use of mathematics language and symbols, together with the use of complete sentences and punctuations in proofs. The second concerns proof structure and includes the overt break down of proofs in goals and sub-goals. We conclude by hypothesising a link between the characteristics observed and the experience of engaging with the theorem prover and we reflect on the potential that engagement with this theorem prover may have in mathematics instruction at university level.

这项探索性研究报告了在参加定理证明器 LEAN (https://leanprover.github.io) 研讨会的一年级大学生的工作中观察到的证明制作和证明写作的特征。这些研讨会是自愿的，并与英国大学向证明模块的过渡一起提供。通过对 36 名学生制作的不熟悉陈述的证明进行定性分析，我们突出了参与和未参与精益学习的学生制作的证明的特征。分析显示了使用编程语言的学生编写的证明的两个特征。第一个涉及证明写作，包括准确和正确使用数学语言和符号，以及在证明中使用完整的句子和标点符号。第二个涉及证明结构，包括目标和子目标中证明的公开分解。最后，我们假设观察到的特征与与定理证明者互动的经验之间存在联系，并反思与该定理证明者互动在大学数学教学中可能具有的潜力。