分析学生在构成函数材料上的数学概念理解能力

Nurhaerani Utami, S. Sudirman, Sukoriyanto Sukoriyanto
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Instrumen penelitian menggunakan 3 buah soal materi komposisi fungsi berupa tes tertulis berbentuk uraian yang telah disesuaikan dengan indikator pemahaman matematis yang digunakan.  Setelah rangkaian proses analisis data dilakukan, hasil penelitian menunjukkan bahwa kemampuan pemahaman matematis dari ketiga subjek penelitian tergolong sangat tinggi berdasarkan tabel klasifikasi kemampuan pemahaman matematis, yaitu sebesar 86%. Secara garis besar, subjek menyelesaikan soal tes yang diberikan sesuai dengan aturan konsep, notasi, dan istilah dalam materi komposisi fungsi, meskipun masih terdapat kesalahan miskonsep yang dilakukan.The aspect of understanding mathematical concepts is the main basis for students in solving math problems. The purpose of this research is to describe the ability of students to understand mathematical concepts in class XI SMKN 1 Kudus in solving the composition of functions. 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引用次数: 2

摘要

数学概念的理解方面成为学生解决数学问题的主要基础。本研究的目的是为二年级学生在解决功能组成问题上的数学概念的能力提供一种描述。本研究的数学理解指标指的是衡量汤普森数学理解能力的标准,这样研究人员就可以测量和了解研究对象的数学理解能力。采用描述性质的方法进行研究。本研究的题目为三年级学生,采用采样技术。研究工具使用了三个具有文字测试功能的材料组成组成的描述,这些测试与使用的数学理解指标相适应。在一系列的数据分析过程之后,研究结果表明,根据数学理解能力分级表,这三个研究对象的数学理解能力属于非常高的水平,其分级为86%。总的来说,受试者根据函数成分材料中的概念、符号和术语的规则完成了测试问题,尽管仍然存在未完成的错误。对数学概念的认识是解决问题的主要基础。这项研究的目的是描述学生在教室里理解数学概念的能力在对汤普森的数学研究中,对数学的了解如此之多,以至于研究人员可以对数学的了解如此之多。这项研究使用了一种合格的解释方法。这次研究的题目是三年级“塔塔Boga”三班的学生,采用采集器技术。研究工具使用了3个问题,关于在表格中测试写作的功能在一系列数据分析分析过程被仔细考虑后,这项研究的结果显示,这三项研究的共性性复合体在mathematical comprehension表上是高度机密的,其研究对象为86%。这个问题完成了测试问题的问题,根据其功能构成的概念、注释和术语,尽管仍然没有发现被制造出来的问题。
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Analisis Kemampuan Pemahaman Konsep Matematis Siswa Pada Materi Komposisi Fungsi
Aspek pemahaman konsep matematis menjadi dasar utama siswa dalam menyelesaikan permasalahan matematika. Tujuan penelitian ini adalah memberikan deskripsi kemampuan pemahaman konsep matematis siswa kelas XI SMKN 1 Kudus dalam menyelesaikan soal komposisi fungsi. Indikator pemahaman matematis pada penelitian ini mengacu kriteria mengukur kemampuan pemahaman matematis Thompson, sehingga peneliti dapat mengukur dan mengetahui bagaimana kemampuan pemahaman matematis subjek penelitian. Penelitian menggunakan metode deskriptif kualitatif. Subjek dalam penelitian ini adalah 3 siswa kelas XI Tata Boga 3 dengan menggunakan teknik purposive sampling. Instrumen penelitian menggunakan 3 buah soal materi komposisi fungsi berupa tes tertulis berbentuk uraian yang telah disesuaikan dengan indikator pemahaman matematis yang digunakan.  Setelah rangkaian proses analisis data dilakukan, hasil penelitian menunjukkan bahwa kemampuan pemahaman matematis dari ketiga subjek penelitian tergolong sangat tinggi berdasarkan tabel klasifikasi kemampuan pemahaman matematis, yaitu sebesar 86%. Secara garis besar, subjek menyelesaikan soal tes yang diberikan sesuai dengan aturan konsep, notasi, dan istilah dalam materi komposisi fungsi, meskipun masih terdapat kesalahan miskonsep yang dilakukan.The aspect of understanding mathematical concepts is the main basis for students in solving math problems. The purpose of this research is to describe the ability of students to understand mathematical concepts in class XI SMKN 1 Kudus in solving the composition of functions. Indicators of mathematical understanding in this study refer to the criteria for measuring Thompson's mathematical understanding so that researchers can measure and find out how the subject's mathematical understanding ability. This research used a qualitative descriptive method. The subjects in this study were 3 students of class XI “Tata Boga” 3 using the purposive sampling technique. The research instrument used 3 questions about the composition of the function in the form of a written test in the form of a description which has been adjusted to the indicators of mathematical understanding. After a series of data analysis processes were carried out, the results of this study indicated that the mathematical comprehension ability of the three research subjects was classified as very high based on the classification table of mathematical comprehension abilities, which was 86%. The subject completed the test questions given in accordance with the concept rules, notations, and terms in the function composition material, although there were still misconceptions that were made.
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