Students of Mathematics education often struggle with integration problem, but yet the root of the problem related to critical thinking is rarely investigated. This article reports research where the first-year students of Mathematics Education of PGRI University Semarang were given an integral problem, then individually they were interviewed related to the answer they have made. The findings of students' difficulties in working on integration problem were confirmed through several questions in the interview which aimed to uncover their critical thinking process related to concepts, procedures, and problem solving. This study shows that student difficulties in Integration by disc method such as failure in identifying radius of a rotary object, specify partition, and integration bounds are closely related to their failure to think critically related to concept, skills, and problem solving aspects of critical thinking.
Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kemajuan belajar siswa pada materi geometri transformasi yang didukung dengan serangkaian aktivitas belajar berdasarkan Pendidikan Matematika Realistik Indonesia. Penelitian didesain melalui tiga tahap, yaitu tahapan perancangan desain awal, pengujian desain melalui pembelajaran awal dan pembelajaran eksperimental, dan tahap analisis retrospektif. Dalam penelitian ini, Hypothetical Learning Trajectory, HLT (HLT) berperan penting sebagai desain pembelajaran sekaligus instrumen penelitian. HLT diujikan terhadap 26 siswa kelas VII. Data dikumpulkan dengan teknik wawancara, pengamatan, dan catatan lapangan. Hasil penelitian menunjukkan bahwa desain pembelajaran ini mampu menstimulasi siswa untuk memberikan karakteristik refleksi dan transformasi geometri lainnya secara informal, mengklasifikasikannya dalam transformasi isometri pada level kedua, dan menemukan garis bantuan refleksi pada level yang lebih formal. Selain itu, garis bantuan refleksi digunakan oleh siswa untuk menggambar bayangan refleksi dan pola pencerminan serta memahami bentuk rotasi dan translasi sebagai kombinasi refleksi adalah level tertinggi. Keyword: transformasi geometri, kombinasi refleksi, rotasi, translasi, design research, HLT STUDENTS' LEARNING PROGRESS ON TRANSFORMATION GEOMETRY USING THE GEOMETRY REFLECTION ACTIVITIESAbstract: This study was aimed at describing the students' learning progress on transformation geometry supported by a set of learning activities based on Indonesian Realistic Mathematics Education. The study was designed into three stages, that is, the preliminary design stage, the design testing through initial instruction and experiment, and the restrospective analysis stage. In this study, Hypothetical Learning Trajectory (HLT) played an important role as an instructional design and a research instrument. HLT was tested to 26 seventh grade students. The data were collected through interviews, observations, and field notes. The findings of the study showed that this instructional design could stimulate students to provide reflection characteristics and other transformation geometry informally, to classify them in the transformation isometry in the second level, and to find the reflection supporting line in the more formal level. In addition, the reflection supporting line was used by the students to draw the reflection image and the mirroring pattern and to understand the rotation and translation shapes as a combination of reflection at the highest level. Keyword: geometric transformation, rotation, translation, and HLT PENDAHULUANPengetahuan mengenai transformasi geometri sangat berguna bagi siswa untuk membangun kemampuan spasial, kemampuan penalaran geometri, dan memperkuat pembuktian matematika (Edward, 1997:187). Kemampuankemampuan itu (Patterson, 1973:90) dapat membuat siswa mengeksplorasi konsep matematika abstrak tentang konsep kongruen, simetri, kesebangunan, dan garis paralel; memperkaya pengalaman, pemikiran dan imaginasi geometri siswa; serta meningkatk...
AbstrakSebagian besar siswa masih mengalami kesulitan dalam belajar kerucut. Oleh karena itu diperlukan pendesainan lintasan belajar materi tersebut menggunakan konteks dan media yang tepat. Penelitian ini bertujuan untuk menghasilkan Learning Trajectory Based Instruction (LTBI) materi kerucut menggunakan konteks tradisi Syawalan masyarakat Pekalongan yaitu Megono Gunungan yang dikemas dalam bentuk video interaktif. Penelitian ini menggunakan design research yang dikembangkan oleh Gravemeijer dan Cobb yang terdiri dari tiga tahap yaitu: preliminary design, design of the experiment (pilot experiment and teaching experiment), dan retrospective analysis. Namun, artikel ini memaparkan hasil pada tahap pertama, yaitu tahap preliminary design. Subjek penelitian ini adalah siswa kelas IX SMP N 38 Semarang. Dalam penelitian ini dihasilkan LTBI yang terdiri dari serangkaian aktivitas pembelajaran, yaitu: (1) mengidentifikasi bagian-bagian kerucut melalui video interaktif Megono Gunungan, (2) menemukan luas permukaan kerucut dengan menggunakan jaring-jaring kerucut, (3) menemukan volume kerucut dengan menggunakan media beras, dan (4) menyelesaikan masalah kontekstual yang berkaitan dengan kerucut. Selanjutnya, siswa diharapkan dapat lebih mudah memahami materi kerucut melalui beberapa aktivitas yang telah didesain. Development of Learning Based on Trajectory Material Cone Middle School Using Megono Gunungan AbstractMost students still experience difficulties in learning cones. Therefore it is necessary to design the learning trajectory of the material using the right context and media. This study aims to produce Learning Trajectory Based Instruction (LTBI) cone material using the context of the Pekalongan community's Syawalan tradition, Megono Gunungan, which is packaged in the form of interactive video. This study uses design research developed by Gravemeijer and Cobb which consists of three stages: preliminary design, design of the experiment (pilot experiment and teaching experiment), and retrospective analysis. However, this article presents the results of the first stage, the preliminary design stage. The subjects of this study were students of class IX SMP N 38 Semarang. In this study LTBI produced consisting of a series of learning activities, namely: (1) identifying cone sections through interactive video Megono Gunungan, (2) finding the surface area of the cone by using cone nets, (3) finding the volume of the cone by using rice media, and (4) resolve contextual problems related to cones. Furthermore, students are expected to more easily understand the cone material through several activities that have been designed.
Penelitian ini bertujuan untuk mengetahui peningkatan kemampuan pemecahan masalah matematis siswa dengan menerapkan Collaborative Analysis of Sample Student Responses. Subjek Penelitian ini adalah mahasiswa yang mengambil mata kuliah matematika SLTP di Universitas PGRI Semarang. Objek penelitian ini adalah kemampuan pemecahan masalah mahasiswa ketika belajar menggunakan Collaborative Analysis of Sample Student Responses. Jenis penelitian ini adalah penelitian tindakan kelas. Data penelitian diperoleh dengan cara test kemampuan pemecahan masalah matematis, wawancara, observasi dan video – typing. Hasil penelitian ini menunjukkan bahwa kemampuan pemecahan masalah matematis mahasiswa meningkat ketika menggunakan pembelajaran Collaborative Analysis of Sample Student Responses.This study aims to determine the increase in mathematical problem solving skills of students to apply Collaborative Analysis of Sample Student Responses. Subjects of this study is students taking junior high school mathematics courses at the University of PGRI Semarang. The object of this research is problem-solving ability of students when learning to use the Collaborative Analysis of Sample Student Responses. This research is a classroom action research. Data were obtained by means of mathematical problem solving ability tests, interviews, observations and video - typing. The results of this study indicate that the mathematical problem solving ability of students increased when using learning Collaborative Analysis of Sample Student Responses.
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