Characteristics of Students’ Intuitive Thinking in Solving Mathematical Problems

M. Ulpah
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引用次数: 1

Abstract

Intuition is one of important thing in the process of solving mathematical problems. It works as cognitive mediation. In this understanding, intuition can be made as a bridge to students' understanding so that it can be accessed in linking imagined objects with the desired alternative solutions. In other words, students can determine what strategies or steps should be taken to get a problem solution, especially contextual problems that have completion steps that cannot be accessed directly. Intuitive thinking often occurs in mathematical problem solving. This was also seen in the mathematical students of IAIN Purwokerto. Based on the teaching experience so far, it was found that many students gave spontaneous answers without analyzing first. So, the researcher studied how characteristics of students’ intuitive thinking are. This research used qualitative with descriptive-exploratory type of research and used test to identify the characteristics of students’ intuitive thinking in solving mathematical problems. Results showed that students’ characteristics consisted of extrapolative, implicitly, persistently, coercively, and the power of synthesis.
学生解决数学问题的直觉思维特征
在解决数学问题的过程中,直觉是很重要的东西之一。它起到了认知调解的作用。在这种理解中,直觉可以成为学生理解的桥梁,以便将想象的对象与期望的替代解决方案联系起来。换句话说,学生可以决定应该采取什么策略或步骤来解决问题,特别是具有无法直接访问的完成步骤的上下文问题。直觉思维经常出现在数学问题的解决中。这在伊恩·普沃克尔托的数学学生身上也能看到。根据目前的教学经验,我们发现很多学生没有经过分析就自发地给出了答案。因此,研究者研究了学生的直觉思维的特点是什么。本研究采用定性研究和描述性探索性研究相结合的方法,并采用测试方法来识别学生在解决数学问题时的直觉思维特征。结果表明,学生的学习特征主要表现为外推性、内隐性、持久性、强制性和综合能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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