学生解决真正分析问题的数学推理基于他们的直觉思考能力

Fatriya Adamura, Vera Dewi Susanti
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引用次数: 4

摘要

摘要:数学推理能力是学生在理解数学的过程中所需要的,也是在日常生活中所需要的。事实上,印尼学生在数学领域的能力仍然很低。鉴于这一事实,本研究试图确定学生在解决实际分析问题时基于直觉思维能力的数学推理能力。本研究为定性描述性研究。本研究的数据来源为大学生。通过笔试和面试收集数据。本研究的数据分析分数据还原、数据呈现、结论三个阶段进行。结果表明:(1)在实际分析问题解决中,具有较高直觉思维能力的学生有将数学推理运用到完美的倾向。他们能够在解决实际分析问题的每个阶段进行数学推理。(2)在解决实际分析问题时,具有中等直觉思维能力的学生对数学推理的执行往往不够完美。在按计划解题、复核的阶段,不能进行数学推理。(3)在解决实际分析问题时,直觉思维能力较低的学生容易出现数学推理执行不完善的现象。他们无法在计划解决和解决问题的阶段进行数学推理。关键词:数学推理,解题,直观。
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PENALARAN MATEMATIS MAHASISWA DALAM MEMECAHKAN MASALAH ANALISIS REAL BERDASARKAN KEMAMPUAN BERPIKIR INTUITIF
Abstract : Mathematical reasoning ability is needed by students both in the process of understanding mathematics and in everyday life context. In fact, Indonesian students’ ability in the field of mathematics is still very low. Referring to the fact, this study is attempted to determine students' mathematical reasoning in solving real analysis problems based on their ability to think intuitively. This study is a qualitative descriptive research. The data sources in this study are college students. Data are collected through written tests and interview. Data analysis in this study is carried out by stages of data reduction, data presentation, and conclusion. The results show that (1) Students with high intuitive thinking skills in real analysis problem solving have a tendency to implement mathematical reasoning perfectly. They are able to carry out mathematical reasoning at each stage of solving real analysis problems. (2) Students with medium intuitive thinking ability in solving real analysis problem have a tendency to implement mathematical reasoning less perfectly. They are not able to carry out mathematical reasoning at the stage of solving problems according to plan and re-checking it again. (3) Students with low intuitive thinking skill in solving real analysis problem have a tendency to implement mathematical reasoning imperfectly. They are unable to carry out mathematical reasoning at the stage of planning solution and solving problem. Keywords: mathematical reasoning, solving problem, intuitive .
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