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ANALISIS KESALAHAN MAHASISWA DALAM MENYELESAIKAN SOAL KALKULUS PEUBAH BANYAK Dian Septi Nur Afifah; Muhammad Ilman Nafi’an; Ika Mariana Putri
MaPan : Jurnal Matematika dan Pembelajaran Vol 6 No 2 (2018): DECEMBER
Publisher : Department of Mathematics Education Faculty of Tarbiyah and Teacher Training Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (438.261 KB) | DOI: 10.24252/mapan.2018v6n2a7

Abstract

Abstrak:Tujuan penelitian ini untuk menganalisis kesalahan dan faktor penyebab mahasiswa dalam menyelesaikan soal pada mata kuliah kalkulus peubah banyak. Jenis penelitian ini menggunakan penelitian deskriptif kualitatif, karena mendeskripsikan dan menggali informasi dengan kata-kata.  Subjek penelitian adalah mahasiswa program studi pendidikan matematika semester lima STKIP PGRI Tulungagung. Subjek dipilih berdasarkan banyaknya kesalahan yang dilakukan dan kemampuan komunikasi lancar. Instrumen utama adalah peneliti sendiri dan instrumen pendukung adalah soal kalkulus peubah banyak. Teknik pengumpulan data menggunakan tes dan wawancara. Untuk menguji keabsahan data digunakan triangulasi teknik. Analisis data dilakukan dengan reduksi data, penyajian data dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa jenis kesalahan yang dilakukan meliputi jenis kesalahan konsep (aturan rantai dan penggunaan harga mutlak, turunan trigonometri ,turunan parsial, konsep integral dan eksponen), kesalahan operasi (perkalian antara koefisien dan variabel dari sebuah fungsi dan operasi bilangan bulat) dan jenis kesalahan prinsip (penulisan rumus aturan rantai).Abstract:The research aims to analyze the students’ errors and the factors causing the errors in answering the multivariable calculus tests. The research used qualitative descriptive research because it described and deeply explored the information narratively. The research subject was the 5th semester students of mathematics education department in STKIP PGRI Tulungagung. The subjects were selected based on the number of errors made by the students and their ability to communicate smoothly. The main research instrument was the researchers themselves and the secondary instrument was the multivariable calculus test. Data collection technique used test and interviews. To test the data validity, the researchers used triangulation technique. Data analysis was conducted through data reduction, data presentation and conclusion. The research findings indicated that the error types made by the students consisted of conceptual errors (chain rule and use of absolute price, trigonometric derivatives, and partial derivatives, integral and exponent), operational errors (multiplication of coefficients and variables of a function and integer operation) and principle errors (writing the formula of chain rule). 
Kesalahan Siswa SMK dalam Menyelesaikan Soal Program Linier Ditinjau dari Pemahaman Konseptual dan Prosedural Dian Septi Nur Afifah; Basuki Sarjono; Lutfia Marsalina; Tomi Listiawan; Ika Mariana Putri
Jurnal Tadris Matematika Vol 3 No 1 (2020)
Publisher : Institut Agama Islam Negeri (IAIN) Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2020.3.1.55-66

Abstract

This research aims to describe the mistake of vocational student in solving linier program question in term of conceptual and procedural understanding. The research was conducted at SMKN I Boyolangu Tulungagung. Subject was chosen based on the highest number of mistakes when completing linier program question. Data collection techniques in this research are test and interview. The instruments used in this research were the main instrument and supporting instrument. The main instrument is the researcher itself, while the supporting instrument are the test sheet and interview guidelines. To test the data validity in this research used time triangulation. Data analysis based on indicator of conceptual and procedural understanding that include data reduction, data presentation and conclusion drawing. The result of this study indicate that students who make mistake do not have a good conceptual and procedural understanding. This can be seen from subject cannot explain how to solve the question. In addition, subject cannot continue the answer because subject do not know the next step that must be done. Subject alsocan not explain the steps in solving linier program question. For this reason, teacher need to pay attention to students’ understanding when learning in class, especially conceptual and procedural understanding. In addition, teacher mut choose or design a conceptual learning design and procedural understanding to achieve the learning objective.
EKSPLORASI ETNOMATEMATIKA PADA BATIK GAJAH MADA MOTIF SEKAR JAGAD TULUNGAGUNG Dian Septi Nur Afifah; Ika Mariana Putri; Tomi Listiawan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1245.632 KB) | DOI: 10.30598/barekengvol14iss1pp101-112

Abstract

Ethnomathematics is mathematics that found in the culture. The purpose of this research is to explore mathematical concepts in Gajah Mada Batik’s Motif Sekar Jagad Tulungagung. The research method used is qualitative method with an ethnographic approach. Data collection techniques used library studies, interview, and documentation. Data analysis techniques used data reduction, data presentation, conclusion. Checking the data validity is done by extending the observation, increasing perseverance, using reference material, member check. The result of this research, in Gajah Mada batik’s there are mathematical concepts in the form of two-dimensional figure, transformation geometry, angles, and line. The two-dimensional figure found in this batik is parallelogram, ellipse, rhombus. The transformation geometry that found in this batik is reflection. While the angles and line that found in this batik are obtuse, parallel line, opposite angle, upfront angle, opposite interior angle, opposite outside angle, upfront interior angle, upfront outside angle.