在公立高中5个城市的线性项目中,数学思考困难

Suryani Dahlan, Nurma Angkotasan, Hery Suharna
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摘要

本研究旨在描述学生数学反思性思维在解决线性规划问题时的困难。这种类型的研究是描述性质的。使用的数据收集技术是测试仪器、访谈和文件。本研究的数据分析技术包括数据约简、数据暴露、数据三角剖分和结论绘制。结果表明,高数学能力学生在反思性思维方面存在困难,即1)难以将新知识与先前的理解联系起来,学生需要将故事问题转化为数学模型的准确性,2)在完成过程的评价方面存在困难,学生在记忆方面存在困难。回到函数图材料,用图的方法解决问题。数学能力中等的学生,1)难以将新知识与先前的理解联系起来,学生在解决上下文问题时需要彻底,2)难以找到关系并制定解决方案,学生难以回忆函数图材料,难以阴影解决区域,3)难以评估完成过程的方面,学生们发现用图解法证明答案的正确性很困难。数学能力低的学生,1)难以将新知识与以前的理解联系起来,学生难以将故事问题转化为数学模型,难以回忆关于双变量线性不等式系统的材料,2)难以找到关系并制定解,学生难以找到坐标点,绘制图形,找到交点,将角点替换为目标函数。3)难以评价完成过程的各个方面,学生发现很难证明图形法得到的答案的真实性。学生在反思性思维中遇到的困难主要是由于学生没有记住之前的线性规划相关材料,以及学生在事实、概念和程序知识维度上的困难。
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KESULITAN BERPIKIR REFLEKTIF MATEMATIS SISWA DALAM MENYELESAIKAN SOAL PROGRAM LINEAR DI SMA NEGERI 5 KOTA TERNATE
This study aims to describe the difficulties of students' mathematical reflective thinking in solving linear programming problems. This type of research is descriptive qualitative. Data collection techniques used are test instruments, interviews and documentation. Data analysis techniques in this study are data reduction, data exposure, data triangulation and conclusion drawing. The subjects of this study were students of class XI IPA 1 SMA Negeri 5 Ternate City, totaling 24 students, then representatives were selected based on the categories of mathematical ability, high, medium and low. The results showed that students with high mathematical ability had difficulty in reflective thinking, namely, 1) difficulties in connecting new knowledge with previous understanding, students needed accuracy in translating story questions into mathematical models, 2) difficulties in evaluating aspects of the completion process, students had difficulty remembering. return to function graph material to solve problems using the graph method. Students with moderate mathematical ability, 1) difficulty in connecting new knowledge with previous understanding, students need to be thorough in solving contextual problems, 2) difficulty in finding relationships and formulating solutions, students find it difficult to recall function graph material, difficult to shade the solution area, 3 ) difficulties in evaluating the aspect of the completion process, students find it difficult to prove the truth of the answers using the graphical method. Students with low mathematical ability, 1) difficulty in connecting new knowledge with previous understanding, students find it difficult to translate story questions into mathematical models, difficult to recall material on a two-variable linear inequality system, 2) difficulty in finding relationships and formulating solutions, students have difficulty find coordinate points, draw graphs, find intersection points, substitute corner points into objective functions. 3) difficulty in evaluating aspects of the completion process, students find it difficult to prove the truth of the answers obtained by the graphical method. The difficulties experienced by students in reflective thinking were caused by students not remembering the previous material related to linear programming, as well as students' difficulties in the dimensions of fact, concept and procedural knowledge.
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