The purpose of this study was to describe the profile of students’ mathematical creative thinking skills in solving problems through contextual learning based on high, medium, or low initial abilities. The method used in this study is descriptive qualitative. There were 6 research subjects of junior high school students in the border area of Malang and Blitar Regencies. Data collection was done by observation, tests, and interviews. The results of this study are (1) High-ability students can fulfill three indicators; those are fluency, flexibility, and novelty according to the material, so that they are in the very creative category. There are high ability students who fulfill two indicators; those are fluency and flexibility well based on the material, so that they are in the creative category. (2) Middle-ability students can fulfill an indicator namely flexibility according to the material, so that they are in the category of quite creative. (3) Low ability students can fulfill two indicators, namely fluency and flexibility well based on the material, so that they are in the creative category. (4) The profile of students’ mathematical creative thinking skill in solving problems through contextual learning based on early mathematical abilities was different. The profile of students’ creative thinking skills is expected to be a teacher’s reference to determine appropriate assignments and assessments to be given to students.
Trigonometri merupakan salah satu mata kuliah yang wajib ditempuh oleh mahasiswa Tadris Matematika Semester II. Salah satu materi yang dianggap sulit dalam mata kuliah ini adalah pembuktian identitas trigonometri. Penelitian ini dilatarbelakangi adanya kesalahan mahasiswa dalam pembuktian identitas trigonometri. Tujuan penelitian ini untuk mendeskripsikan kesalahan mahasiswa dalam pembuktian identitas trigonometri berdasarkan model Newman dan beberapa faktor penyebabnya. Penelitian ini termasuk penelitian deskriptif kualitatif. Subjek penelitian yakni dua mahasiswa Tadris Matematika. Pengumpulan data dilakukan melalui tes dan wawancara. Hasil penelitian ini diperoleh bahwa terdapat perbedaan kesalahan yang dilakukan yakni subjek FR melakukan 4 kesalahan yaitu kesalahan memahami, transformasi, proses perhitungan dan penulisan jawaban pada soal pertama. Sedangkan subjek IN melakukan 4 kesalahan pada soal kedua yaitu kesalahan pemahaman, transformasi, proses perhitungan dan penulisan jawaban. Kemudian subjek IN melakukan 2 kesalahan pada soal ketiga yaitu kesalahan pemahaman dan proses perhitungan. Kesalahan yang sering dilakukan adalah kesalahan proses perhitungan, akan tetapi kedua subjek tidak melakukan kesalahan membaca. Beberapa penyebab kesalahan terjadi yakni tidak mengetahui strategi atau identitas trigonometri yang sesuai untuk digunakan dalam membuktikan identitas trigonometri, prosedur penyelesaian yang dilakukan kurang lengkap, kurang kreatifnya dalam manipulasi aljabar, dan kurang terampilnya dalam pengoperasian dan perhitungan yang menyebabkan hasil akhirnya menjadi kurang tepat. Trigonometry is one of the subjects that must be taken by second-semester Mathematics Tadris students. One of the materials that are considered difficult in this course is proving trigonometric identities. This research is motivated by the existence of student errors in proving trigonometric identities. The purpose of this study was to describe the mistakes of students in proving their trigonometric identities based on the Newman model and some of the factors causing them. This research belonged to a qualitative descriptive study. The research subjects were two Mathematics Tadris students. Data collection was carried out through tests and interviews. The results of this study showed that the mistakes made were the FR subject made 4 errors in understanding, transformation, calculation process, and answers to the first question. While the subject made 4 mistakes in the second problem, the errors, transformation, calculation process, and answer answers. Then, the IN subject made 2 mistakes in the third question, namely the misunderstanding and the calculation process. Mistakes that are often made were errors in the calculation process, but the two subjects did not make reading errors. Some of the causes of errors occur such as, namely not knowing the strategy or trigonometric identity that is suitable to be used in proving trigonometric identities, incomplete completion procedures, lack of creativity in algebraic manipulation, and lack of skill in operations and calculations which cause the final result to be less precise.
<p>The ability of mathematical representation is needed by students to communicate mathematical ideas. However, the student's representation ability is still not optimal, especially in geometry material. The purpose of this study is to describe the representational abilities of students of SMP NU Sunan Ampel in solving geometrical contextual problems. The study was conducted on 19 students at SMP NU Sunan Ampel Poncokusumo. Data was collected through tests and interviews. The indicators of representation ability used are visual representation, symbolic, and verbal. The results of the research are the level of student representation ability as much as 53% in the low category, as much as 42% in the medium category, and as much as 5% in the high category. Students with high representation ability can fulfill the indicators of visual, symbolic, and verbal representation well according to their abilities. Students with moderate representational abilities can meet the indicators of symbolic representation, but there are still errors in writing and calculations. Students with low representation ability have not reached the three indicators of representational ability well as a whole according to their abilities. It is hoped that the teacher can provide practice questions to students by requiring students to describe and write down the mathematical model in detail and completely. In addition, the teacher can also introduce various forms of flat shapes in contextual problems so that students can be trained to solve contextual problems related to flat shapes.</p><p><strong>BAHASA INDONESIA ABSTRACT: </strong>Kemampuan representasi matematika sangatlah dibutuhkan oleh siswa untuk mengkomunikasikan ide matematika. Namun, kemampuan representasi siswa masih belum optimal khususnya pada materi geometri. Tujuan penelitan ini mendeksripsikan kemampuan representasi siswa SMP NU Sunan Ampel dalam menyelesaikan masalah kontekstual geometri. Penelitian dilaksanakan pada 19 siswa di SMP NU Sunan Ampel Poncokusumo. Data dikumpulkan melalui tes dan wawancara. Indikator kemampuan representasi yakni representasi visual, simbolik, dan verbal. Hasil penelitian yakni tingkat kemampuan representasi siswa sebanyak 53% pada kategori rendah, sebanyak 42% pada kategori sedang, dan sebanyak 5% pada kategori tinggi. Siswa kemampuan representasi tinggi dapat memenuhi indikator representasi visual, simbolik, dan verbal dengan baik sesuai kemampuannya. Siswa kemampuan representasi sedang dapat memenuhi indikator representasi simbolik, namun masih terdapat kesalahan penulisan dan perhitungan. Siswa kemampuan representasi rendah belum mencapai ketiga indikator kemampuan representasi dengan baik secara keseluruhan sesuai dengan kemampuannya. Harapannya guru dapat memberikan latihan soal kepada siswa dengan mewajibkan siswa menggambarkan dan menuliskan model matematikanya secara detail dan lengkap. Selain itu, guru juga dapat memperkenalkan berbagai bentuk bangun datar dalam masalah kontekstual agar siswa dapat terlatih menyelesaikan masalah kontekstual yang berkaitan dengan bangun datar.</p>
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.