标题： 使用迭代随机采样的拼图求解：与技能掌握发展之间的相似之处 显示英文标题

标题： Solving Jigsaw Puzzles using Iterative Random Sampling: Parallels with Development of Skill Mastery

摘要： 技能掌握是所有领域成功的关键。 我们提出了技能掌握的发展与解决拼图过程之间的类比。 我们表明，迭代随机抽样可以在两个阶段解决拼图问题：一个滞后期，其特点是变化很小，并占据大部分时间，以及一个增长期，标志着拼图的快速和即将完成。 单个拼图块和较大拼图块数量比例的变化可以叠加在时间线和技能掌握的进展上。 强调了拼图块之间连接的发展，这作为拼图完成程度和技能掌握程度增加的指标。 我们的手稿提供了一个直观的视觉展示，展示了在一种常见的娱乐活动背景下技能掌握的情况。 显示英文摘要

摘要： Skill mastery is a priority for success in all fields. We present a parallel between the development of skill mastery and the process of solving jigsaw puzzles. We show that iterative random sampling solves jigsaw puzzles in two phases: a lag phase that is characterized by little change and occupies the majority of the time, and a growth phase that marks rapid and imminent puzzle completion. Changes in the proportions of the number of single pieces and larger pieces can be overlaid on the timeline and progression of skill mastery. An emphasis is placed on the development of connections between pieces, which serves as an indicator of increasing puzzle completion and increasing skill mastery. Our manuscript provides a straightforward visual of skill mastery in the context of a common recreational activity.