基于可视化和语言化认知风格的学生数学连接能力研究

Nikmatus Savira Aprilianda, Susanah Susanah
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引用次数: 0

摘要

数学连接能力是指学生以结构化的方式将数学思想和概念连接起来,以解决数学内外的各种问题的能力。数学连接能力在解决数学问题的过程中起着重要作用。认知风格是影响数学联系能力的因素之一。本研究是一项定性描述性研究,旨在用形象化和语言化的认知风格来描述学生在解决数学问题时的数学联系技能。研究对象包括两名九年级的学生,他们各自具有可视化和言语化的认知风格。使用的工具是研究人员本人、VVQ(可视化工具语言化问卷)、数学连接能力测试和访谈指南。在这项研究中,平面面积和勾股定理的材料被用来测试数学连接技巧。结果表明,具有可视化认知风格的学生在解决数学问题中满足数学连接能力指标中的7个良好指标和1个充分指标,而具有言语认知风格的学生,由于在数学连接解决问题能力指标中满足了三个好指标、四个充分指标和一个少指标,因此获得了足够的类别。因此,教师应该能够在日常生活中训练学生提出具有更高数学联系水平的问题,从而提高他们的联系技能,并通过各种练习展示进行训练,从而训练具有各种认知风格的学生理解给定的问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
PROFILE OF STUDENTS’ MATHEMATICAL CONNECTION ABILITY IN SOLVING MATHEMATICS PROBLEMS BASED ON VISUALIZER AND VERBALIZER COGNITIVE STYLE
Mathematical connection ability is the ability of students to connect mathematical ideas and concepts in a structured way to solve various problems both inside and outside mathematics. Mathematical connection ability plays an important role in the process of solving mathematical problems. Cognitive style is one of the factors that effect mathematical connection abilities. This research is a qualitative descriptive study that aims to describe the students' mathematical connection skills with visualizer and verbalizer cognitive styles in solving mathematics problems. The research subjects consisted of two grade IX students who each had visualizer and verbalizer cognitive styles. The instrument used was the researcher herself, VVQ (visualizer verbalizer questionnaire), a mathematical connection ability test, and interview guidelines. In this study, the material of plane area and Pythagorean theorem are used for test mathematical connection skills. The results obtained are students with visualizer cognitive style get a good category for their mathematical connection ability in solving mathematics problems because they meet seven good indicators and one sufficient indicator from the mathematical connection ability in solving problems indicator, while students with verbalizer cognitive style get sufficient categories because they meet three good indicators, four sufficient indicators, and one less indicator from mathematical connection ability in solving problems indicator. Therefore, teachers are expected to be able to train students with questions in the context of everyday life that have a higher level of mathematical connection so that they can improve their connection skills and also train with variety exercices presentation so student with each cognitive style can be trained to understand a given problem.
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