The Maximum Throughput on a Golf Course

We develop stochastic models to help manage the pace of play on a conventional 18‐hole golf course. These models are for group play on each of the standard hole types: par‐3, par‐4, and par‐5. These models include the realistic feature that k−2 groups can be playing at the same time on a par‐k hole, but with precedence constraints. We also consider par‐3 holes with a “wave‐up” rule, which allows two groups to be playing simultaneously. We mathematically determine the maximum possible throughput on each hole under natural conditions. To do so, we analyze the associated fully loaded holes, in which new groups are always available to start when the opportunity arises. We characterize the stationary interval between the times successive groups clear the green on a fully loaded hole, showing how it depends on the stage playing times. The structure of that stationary interval evidently can be exploited to help manage the pace of play. The mean of that stationary interval is the reciprocal of the capacity. The bottleneck holes are the holes with the least capacity. The bottleneck capacity is then the capacity of the golf course as a whole.     

The contribution of mother-father-child interactions to children's emotion narratives

Parents' sensitivity during interactions with their children has been associated with children's emotion narratives elicited using story completion tasks, but almost all of this research focused on mothers and was based on a dyadic, parent-child focus. The goal of the present study was to expand this research by studying triadic, mother-father-child interactions and their associations with children's narratives. Seventy-one families with their 4.5-year-old children were observed in the Lausanne Trilogue Play (LTP) procedure to assess Family Cooperation, and children were administered the MacArthur Story-Stem Battery (MSSB) to assess Coherence, Parental Representations, and Engagement with the task. Regression analyses indicated that controlling for children's Narrative Competence and Effortful Control, children who were part of more cooperative family interactions produced narratives that were more coherent, and they were more engaged during the task. No associations were found with children's representations of parents. Directions for future studies as well as clinical implications are discussed.     

深度学习视野下幼儿游戏与教学关系的重省

游戏与教学是影响幼儿学习质量的有意义活动，为提升学前教育质量，有必要以深度学习的视角探讨游戏与教学的关 系。从深度学习视野出发，当前存在对游戏与教学的关系认识不当的问题：1.重教学轻游戏，幼儿学习主体性缺失；2.片面反 对教学，游戏缺乏深度；3.游戏与教学强行“拼盘”，忽视幼儿学习特征。为促进幼儿深度学习，需要正确认识游戏与教学对于 幼儿发展的作用，重省游戏与教学的关系：1.重视游戏对于幼儿深度学习的价值；2.正确认识教学，以“教”促“学”；3“. 高质量” 教学依赖学习的游戏性取向；4.多重形式的教学引发“高质量”游戏。     

以游戏为中心的幼儿园课程：“课程游戏化”与“游戏

"“课程游戏化”与“游戏课程化”作为当前学前教育深化发展与幼儿园课程改革推进的代表性理论主张，二者同源、异构， 同趣、共建，是幼儿园课程与游戏有机融合、构建以游戏为中心的幼儿园课程的有益尝试与大胆探索。展望未来，可尝试从推 进幼儿园教育教学的三重重心转向、优化幼儿园课程体系的三度生长空间、搭建幼儿园内生发展的三维教研体系，切实推进构 建以游戏为中心的幼儿园课程与教育生活的实践进程。"