将数学游戏成绩作为刻意练习的指标

Jake McMullen, Phuong Bui, Boglárka Brezovszky, E. Lehtinen, M. Hannula-Sormunen
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摘要

在数学教育中,通过有意识的练习来加强适应性专业知识,传统的课堂设置带来了挑战。本研究旨在探讨 "数字导航游戏"(NNG)是否有助于促进刻意练习,以及学生在游戏中的表现是否与他们的 "适应性数字知识"、"感知挑战"、"流程 "和 "数学兴趣 "的发展有关。NNG是一种基于游戏的学习环境,要求学生通过解决越来越复杂的算术问题来取得进步,这对促进适应性数字知识的发展至关重要。我们对 214 名芬兰学生的游戏表现进行了分析,并与每个游戏级别的最佳表现进行了比较。基于学生相对成绩水平的成长混合模型被用来深入了解学生的游戏成绩在整个游戏过程中是如何变化的,以及这与他们的知识收获、感知到的挑战、数学动机和流程是如何相关的。学生的游戏表现有四种不同的特征。最大的一种情况是,尽管学生最初的成绩低于平均水平,但他们在游戏中的表现却稳步提高。与其他组相比,这组学生的流畅度较低,但学习收获较大,这表明他们的参与可能更符合刻意练习。
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Mathematical game performance as an indicator of deliberate practice
The traditional classroom setting presents challenges when it comes to strengthening adaptive expertise in mathematics education through deliberate practice. This study aimed to investigate whether the Number Navigation Game (NNG) could help promote deliberate practice, and whether students’ performance in the game was related to their development of Adaptive Number Knowledge, perceived challenge, flow, and math interest. NNG is a game-based learning environment that requires students to progress by solving increasingly complex arithmetic problems, which is crucial for promoting adaptive number knowledge. Game performances of 214 Finnish students were analyzed and compared to the best possible performance for each game level. A growth mixture model based on the students' relative performance levels was used to gain insight into how students' game performance changed throughout the game, and how this related to their knowledge gains, perceived challenge, math motivation, and flow. There were four different profiles of students' game performance. The largest profile consisted of students who steadily improved their performance in the game, despite initially having lower-than-average performance. This group experienced lower levels of flow but achieved larger learning gains than the other groups, suggesting that their engagement may be more aligned with deliberate practice.
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