探索学生解决数学问题的计算思维:个案研究

N. Hansen, Said Hadjerrouit
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摘要

本文的目的是调查学生在解决本科编程课程中的数学任务时,对计算思维(CT)和MATLAB编程的参与情况。数据收集的方法是参与式观察,每组三名学生完成一项数学任务。本研究采用基于理论框架与实证数据相互作用的演绎-归纳分析策略。结果表明,让学生进行数学问题的CT解决是具有挑战性的,原因有很多:缺乏数学思维(MT),缺乏CT经验,更重要的是缺乏更深层次的CT与MT之间的联系。从结果中得出结论,以促进在本科阶段通过CT和MT来解决数学问题。三组,每组由三个数学知识不同的学生组成。学生们被要求解决一个数学任务,同时通过CT、MT和编程活动与老师就解决过程进行对话,回答问题。为了更深入地了解这一过程,还使用了开放式问题。抽象、概括
本文章由计算机程序翻译,如有差异,请以英文原文为准。
EXPLORING STUDENTS' COMPUTATIONAL THINKING FOR MATHEMATICAL PROBLEM-SOLVING: A CASE STUDY
The purpose of this paper is to investigate students’ engagement in computational thinking (CT) and programming with MATLAB when solving a mathematical task in a programming course at the undergraduate level. The data collection method is participant observation of three groups of three students presented with a mathematical task to solve. The study uses a deductive-inductive analysis strategy based on the interplay between the theoretical framework and the empirical data. The results reveal that engaging students in CT for mathematical problem-solving is challenging for many reasons: Lack of mathematical thinking (MT), insufficient experience with CT, and more importantly lack of deeper connection between CT and MT. Conclusions are drawn from the results to promote mathematical problem-solving by means of CT and MT at the undergraduate level. of three groups, each consisting of three students with varying knowledge in mathematics. The students were presented with a mathematical task to solve, while responding to questions in dialogue with the teacher on the solving process, by means of CT, MT, and programming activities. Open-ended questions were also used to gain a deeper understanding of the process. abstract, generalize
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