在基于游戏的学习环境中使用数学支持解决应用问题

IF 4 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH
Fengfeng Ke, Chih-Pu Dai, Luke West, Yanjun Pan, Jiabei Xu
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引用次数: 0

摘要

学生们在解决一个背景丰富的应用问题时,经常在数学化的过程中挣扎——在内隐和外显数学思维之间建立联系。目前的研究调查了学生在解决基于游戏的、以探究为导向的数学学习环境中的应用数学问题时,如何与有目的设计的“数学化”支持进行互动和利用。本研究采用自然观察个案研究和混合方法研究中学生数学支持的使用对其数学问题解决能力的影响。研究结果表明,使用数学支持对学生在游戏期间和游戏后的数学化练习以及应用数学问题解决的表现有积极和预测的影响。然而,并非所有学生都利用游戏中的数学支持或参与问题数学过程。学生与数学化支持的建设性互动的基础包括他们在解决问题方面的富有成效的坚持,他们在衡量数学化效用方面的能动性的行使,以及他们从具体到抽象的演绎推理的参与。我们还观察到内部和外部数学化支持之间的相互作用,这是由学习设置的模式调节。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Using Mathematizing Supports for Applied Problem Solving in a Game-Based Learning Environment
Students frequently struggled with the mathematizing process – forging connections between implicit and explicit mathematical thinking – when solving a context-rich applied problem. The current research investigated how students interact with and leverage purposively designed ‘mathematizing’ supports when solving applied math problems in a game-based, inquiry-oriented math learning environment. We conducted a naturalistic observation case study and a mixed-method study to investigate middle school students’ usage of mathematizing supports in relation to their math problem-solving performance. The findings indicated a positive and predictive impact of using mathematizing supports on the logged and observed practice of mathematization as well as the performance of applied math problem solving by the students during and after gaming. However, not all students leverage in-game mathematizing supports or engage in problem mathematizing processes. The grounds of students’ constructive interaction with a mathematizing support include their productive persistence in problem solving, their exercise of agency in gauging the utility of mathematizing, and their engagement with deductive reasoning from concrete to abstract. We also observed an interplay between internal and external mathematizing supports, which is moderated by the modality of learning settings.
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来源期刊
Journal of Educational Computing Research
Journal of Educational Computing Research EDUCATION & EDUCATIONAL RESEARCH-
CiteScore
11.90
自引率
6.20%
发文量
69
期刊介绍: The goal of this Journal is to provide an international scholarly publication forum for peer-reviewed interdisciplinary research into the applications, effects, and implications of computer-based education. The Journal features articles useful for practitioners and theorists alike. The terms "education" and "computing" are viewed broadly. “Education” refers to the use of computer-based technologies at all levels of the formal education system, business and industry, home-schooling, lifelong learning, and unintentional learning environments. “Computing” refers to all forms of computer applications and innovations - both hardware and software. For example, this could range from mobile and ubiquitous computing to immersive 3D simulations and games to computing-enhanced virtual learning environments.
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